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ENERGY CONSUMPTION TRENDS OF MULTI-UNIT RESIDENTIAL BUILDINGS IN THE CITY OF TORONTO by Clarissa Binkley A thesis submitted in conformity with the requirements for the degree of Master of Applied Science Department of Civil Engineering University of Toronto © Copyright by Clarissa Binkley 2012

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Page 1: ENERGY CONSUMPTION TRENDS OF MULTI-UNIT … = Office of Energy Efficiency OHC ... Consumption Trends of Multi-Unit Residential Buildings in the City ... rise or high-rise apartment

ENERGY CONSUMPTION TRENDS OF MULTI-UNIT RESIDENTIAL BUILDINGS IN THE CITY OF TORONTO

by

Clarissa Binkley

A thesis submitted in conformity with the requirements for the degree of Master of Applied Science

Department of Civil Engineering University of Toronto

© Copyright by Clarissa Binkley 2012

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Energy Consumption Trends of Multi-Unit Residential Buildings in

the City of Toronto

Clarissa Binkley

Master of Applied Science

Department of Civil Engineering

University of Toronto

2012

Abstract

The purpose of this research is to determine the average energy intensity of multi-unit residential

buildings (MURBs) in Toronto, and evaluate whether certain building characteristics influence

energy intensity. This information is particularly important in the Toronto market. Relative to

the city’s population, Toronto has an unusually high proportion of MURBs with more than half

of residential dwellings in apartment buildings. Additionally, Toronto MURBs are significant

consumers of energy and produce an estimated 1.3M tonnes of CO2e each year. The ultimate

goal is to assess the most efficient building retrofit measures.

Energy consumption data for Toronto MURBs were collected and weather normalized.

Correlations between the energy data and the building characteristics were examined. Window

characteristics and heating system type were found to have the most significant influence on

energy intensity. Establishing energy consumption characteristics of MURBs is the first step

towards improving the energy efficiency of Toronto’s MURBs stock.

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Acknowledgments

There are many people who have provided invaluable support toward the completion of this

thesis. First and foremost, I would like to thank my supervisor, Professor Kim Pressnail, for his

assistance and patience throughout the process. I would also like to thank Marianne Touchie for

her major contribution of time, effort and ever-thoughtful analysis. Both Professor Pressnail and

Marianne were involved throughout the proposal, research, analysis and writing stages of the two

papers that went toward forming this thesis. I am grateful to them both for their hard work and

brilliant ideas.

This thesis would not have been possible without the generous support of the Toronto

Atmospheric Fund. I would like to thank Bryan Purcell for his thoughtful feedback, consistent

attention to the project and ongoing assistance with data collection.

I would also like to thank Woytek Kujawski at the Canadian Mortgage and Housing Corporation

and David Ethier at Toronto Hydro for their assistance in collecting and providing data for this

project. Thank you also to Warren Knowles and Graham Finch at RDH for their support in the

early stages of this thesis.

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Table of Contents

Acknowledgments.......................................................................................................................... iii

Table of Contents ........................................................................................................................... iv

List of Tables ................................................................................................................................ vii

List of Figures .............................................................................................................................. viii

List of Appendices .......................................................................................................................... x

List of Abbreviations and Acronyms ............................................................................................. xi

Chapter 1 Introduction .................................................................................................................... 1

1.1 Background and motivation ............................................................................................. 1

1.2 Research significance ....................................................................................................... 3

1.3 Scope of work................................................................................................................... 3

1.4 Thesis structure ................................................................................................................ 4

1.5 Terminology ..................................................................................................................... 4

Chapter 2 Literature Review ........................................................................................................... 6

2.1 Consumer-side studies...................................................................................................... 6

2.2 Supplier-side studies ...................................................................................................... 12

2.3 Comparison of consumer-side and supplier-side data.................................................... 16

Chapter 3 Data Collection and Data Sources ................................................................................ 17

3.1 Meta-Analysis data sources ............................................................................................ 17

3.2 Refined Data Set data collection .................................................................................... 19

Chapter 4 Data Characteristics and Limitations ........................................................................... 21

4.1 Summary of data ............................................................................................................ 21

4.2 Frequency distributions .................................................................................................. 24

4.3 Data Limitations ............................................................................................................. 27

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Chapter 5 Methodology ................................................................................................................ 30

5.1 Meta-Analysis methodology .......................................................................................... 30

5.1.1 Normalization analysis decisions and assumptions ................................................ 31

5.1.2 Weather data ........................................................................................................... 33

5.1.3 Coefficient of determination (R2 values) ................................................................ 34

5.1.4 Determination of base load ..................................................................................... 34

5.1.5 Shared gas meters ................................................................................................... 36

5.1.6 Thermal energy consumption ................................................................................. 36

5.2 Refined data set methodology ........................................................................................ 37

5.2.1 Normalization procedure and assumptions ............................................................. 37

5.2.2 Determination of energy load types ........................................................................ 39

5.2.3 Rejection of outliers ................................................................................................ 39

Chapter 6 Meta-Analysis Results and Discussion ........................................................................ 41

6.1 Meta-Analysis energy consumption data ....................................................................... 41

6.1.1 Summary of energy intensity data .......................................................................... 41

6.1.2 Summary of greenhouse gas emissions .................................................................. 44

6.1.3 Base load determination .......................................................................................... 45

6.1.4 Summary of weather normalization ........................................................................ 47

6.2 Correlation results and discussion .................................................................................. 48

6.2.1 Date of construction ................................................................................................ 48

6.2.2 Weather-dependant loads ........................................................................................ 49

6.2.3 Building height........................................................................................................ 50

6.2.4 Number and size of suites ....................................................................................... 51

6.2.5 Ownership type ....................................................................................................... 53

6.2.6 Statistical Significance ............................................................................................ 55

6.3 Preliminary conclusions ................................................................................................. 56

Chapter 7 Refined Data Set Results .............................................................................................. 58

7.1 Energy intensity.............................................................................................................. 58

7.2 Selection of variables ..................................................................................................... 60

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7.2.1 Variables related to heating loads ........................................................................... 61

7.2.2 Variables related to cooling loads ........................................................................... 62

7.2.3 Variables related to base loads ................................................................................ 62

7.3 Separation of building types ........................................................................................... 63

7.4 Correlation analysis ........................................................................................................ 64

7.4.1 Window characteristics ........................................................................................... 65

7.4.2 Heating efficiency and cooling equipment ............................................................. 69

7.4.3 Number of occupants .............................................................................................. 71

7.4.4 Base electricity intensity ......................................................................................... 72

7.5 Multi-variable regression analysis ................................................................................. 73

7.5.1 Methodology ........................................................................................................... 73

7.5.2 Summary of all analyses ......................................................................................... 75

7.5.3 Discussion of selected results ................................................................................. 76

Chapter 8 Discussion .................................................................................................................... 79

8.1 Energy intensity.............................................................................................................. 79

8.2 Variable natural gas intensity ......................................................................................... 80

8.3 Base natural gas intensity ............................................................................................... 82

8.4 Alternative heating systems ........................................................................................... 83

8.5 Additional facilities ........................................................................................................ 84

Chapter 9 Conclusions and Further Research ............................................................................... 86

9.1 Variables affecting energy consumption ........................................................................ 86

9.2 Future work .................................................................................................................... 88

References ..................................................................................................................................... 91

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List of Tables

Table 1: Comparison of energy intensities from consumer-side studies and supplier-side studies 2

Table 2: Summary of characteristics influencing energy intensity ................................................. 9

Table 3: Summary of studies ........................................................................................................ 10

Table 4: Summary of energy consumption statistics from supplier-side data sources ................. 14

Table 5: Summary of Meta-Analysis data sources ....................................................................... 19

Table 6: Summary of Meta-Analysis and Refined Data Set building characteristics ................... 21

Table 7: Limitations of Meta-Analysis energy consumption data ................................................ 28

Table 8: Summary of energy consumption data normalization .................................................... 30

Table 9: Summary of building space conditioning categories ...................................................... 64

Table 10: Summary of forward-selection and logical regression analyses undertaken ................ 76

Table 11: Variables in order of selection for variable natural gas intensity systematic forward-

selection ........................................................................................................................................ 77

Table 12: Variables in order of selection for variable natural gas intensity logical method ........ 78

Table 13: Conclusions and data collection needs related to the variables examined ................... 86

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List of Figures

Figure 1: Flow of information for residential energy use data provided by government agencies

....................................................................................................................................................... 13

Figure 2: Distribution of building height in the sample compared with the population ............... 22

Figure 3: Distribution of building construction date in the sample compared with the population

....................................................................................................................................................... 23

Figure 4: Number of suites per building ....................................................................................... 25

Figure 5: Gross floor area per building ......................................................................................... 26

Figure 6: Frequency distribution of the average attributed suite floor area .................................. 27

Figure 7: Sample graph used for weather normalization .............................................................. 33

Figure 8: Natural gas consumption of sample MURB showing variable load and base load ...... 35

Figure 9: Total annual energy intensity ........................................................................................ 42

Figure 10: Annual natural gas intensity of each building ............................................................. 43

Figure 11: Total annual energy use per suite ................................................................................ 44

Figure 12: Total annual GHG emissions intensity ........................................................................ 45

Figure 13: Comparison of base load calculation methods for electricity ..................................... 46

Figure 14: Comparison of base load calculation methods for natural gas .................................... 47

Figure 15: Coefficient of determination values from weather normalization............................... 48

Figure 16: Energy intensity versus building vintage .................................................................... 49

Figure 17: Weather-dependant loads versus building vintage ...................................................... 50

Figure 17: Total energy use versus number of storeys ................................................................. 51

Figure 18: Energy intensity versus building height ...................................................................... 51

Figure 19: Total energy use versus number of suites ................................................................... 52

Figure 20: Energy intensity versus number of suites .................................................................... 52

Figure 21: Attributed suite size versus date of construction ......................................................... 53

Figure 22: Total energy intensity by area for each type of building ownership ........................... 54

Figure 23: Total energy intensity by suite for each type of building ownership .......................... 55

Figure 24: Suite size versus building ownership type .................................................................. 55

Figure 26: Natural gas and electricity components of total annual energy per gross floor area ... 58

Figure 27: Natural gas and electricity components of total annual energy use per suite .............. 59

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Figure 28: Variables categorized by ease of measurement and predicted importance ................. 61

Figure 29: Variable dominating building heating requirements ................................................... 62

Figure 30: Method used to separate buildings by primary heating systems ................................. 64

Figure 31: Variable natural gas intensity versus fenestration ratio for double-glazed windows .. 66

Figure 32: Variable natural gas intensity versus fenestration ratio for single-glazed windows ... 66

Figure 33: Electricity intensity versus fenestration ratio for air conditioned buildings ............... 67

Figure 34: Variable natural gas intensity versus glazing U-value ................................................ 68

Figure 35: Electrical intensity versus glazing U-value for air conditioned buildings .................. 69

Figure 36: Variable natural gas intensity versus boiler efficiency ............................................... 69

Figure 37: Variable natural gas intensity versus boiler age .......................................................... 70

Figure 38: Electrical intensity versus cooling capacity ................................................................ 71

Figure 39: Base annual natural gas consumption versus estimated number of occupants ........... 72

Figure 40: Base electricity intensity versus building vintage ....................................................... 73

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List of Appendices

Appendix A Calculation of Statistics for Toronto Dwellings ....................................................... 97

Appendix B Sample Letter of Request ....................................................................................... 101

Appendix C Individual Building Characteristics ........................................................................ 104

Appendix D Characteristics of Toronto MURB Population ....................................................... 109

Appendix E Heat Equations Related to Energy Flows ............................................................... 111

Appendix F Refined Data Set Building Pictures ........................................................................ 113

Appendix G Additional Refined Data Set Correlations .............................................................. 120

Appendix H Multi-Variable Linear Regression Results ............................................................. 126

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List of Abbreviations and Acronyms

BC = British Columbia

CDD = Cooling degree days

CEUD = Comprehensive Energy Use Database

CWEC = Canadian Weather for Energy Calculations

CMHC = Canadian Mortgage and Housing Corporation

CO2e = Carbon dioxide equivalent

DHW = Domestic Hot Water

EC = Environment Canada

EI = Energy intensity

EUDH = Energy Use Data Handbook

GHG = Greenhouse gas

GTA = Greater Toronto Area

HDD = Heating degree days

HiSTAR = High-Rise Statistically Representative database

MAU = Make-up air unit

MURBs = Multi-unit residential buildings

NRC = National Research Council of Canada

NRCan = Natural Resources Canada

OEE = Office of Energy Efficiency

OHC = Ontario Housing Corporation

RESD = Report on Energy Supply and Demand in Canada

SHEU = Survey of Household Energy Use

SHGC = Solar heat gain coefficient

TAF = Toronto Atmospheric Fund

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Chapter 1 Introduction

This thesis is a compilation of two research papers originally commissioned by the Toronto

Atmospheric Fund (TAF). The two papers are: Meta-Analysis of Energy Consumption in Multi-

Unit Residential Buildings in the Greater Toronto Area1 and Energy Consumption Trends of

Multi-Unit Residential Buildings in the City of Toronto.2 The papers were co-authored by

Clarissa Binkley, Marianne Touchie and Professor Kim Pressnail. For the purpose of this thesis,

the two papers have been combined and supplemented with additional research findings to form

a comprehensive document.

1.1 Background and motivation

Multi-unit residential buildings (MURBs) represent the most significant component of the

Toronto residential building inventory. Over half (55%) of the dwellings in the City of Toronto

consist of apartment buildings. The majority of all Toronto dwellings (39%) are either mid-rise

or high-rise apartment buildings of five or more storeys. Low-rise apartments of four or fewer

storeys represent 16% of the dwellings in Toronto.3 Calculations for these statistics are provided

in Appendix A, Section 1.

Consistent with MURBs comprising the most common form of dwelling in Toronto, they are

also a significant source of greenhouse gas (GHG) emissions. On an annual basis, combined

electricity and natural gas consumption of Toronto MURBs result in an estimated 1.3M tonnes of

CO2e.4 Mid and high-rise MURBs are responsible for 68% of these emissions and low-rise

MURBs are responsible for 32%5 (see Appendix A, Section 2). These figures are slightly lower

than another published estimate that Toronto MURBs erected between 1945 and 1984 are

responsible for between 2.0M and 2.2M tonnes of CO2e.6

There is a wide range of literature values for MURB energy-efficiency as expressed by average

energy intensity (EI). Energy intensity is a building’s annual energy consumption per unit of

gross floor area. Table 1 summarizes average MURB EI values from select studies. The average

energy intensity reported by each study is based on various sample groups of MURBs in Canada.

Each sample includes a different number of MURBs that represent different vintages, heights,

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occupancy types, tenure and geographic locations. Additionally, the methodology to obtain

energy consumption data for each study was different and the collected data have a varying level

of reliability and completeness.

Energy intensity data derived primarily from aggregate supplier-side information appears to

provide significantly lower values than energy intensity data derived from disaggregate

consumer-side information. The Comprehensive Energy Use Database (CEUD) reports energy

intensity statistics for apartment buildings based primarily on supplier-side information provided

by the Report on Energy Supply and Demand in Canada and processed using the Residential

End-Use Model.7 Table 1 compares the CEUD EIs with three different studies that are based on

consumer-side information. Supplier-side and consumer-side energy studies are discussed in

more detail in the literature review in Chapter 2 of this thesis.

Table 1: Comparison of energy intensities from consumer-side studies and supplier-side studies

Study

reference

# of MURBs

in study

Data

year

Province EI

(ekWh/m2)

CUED EI for same year

and province (ekWh/m2)

CMHC8 31 2002 ON 400 211

9

HiSTAR –

Ontario10

55 1999 ON 275 20611

RDH12

39 2005 BC 213 16913

The total number of MURBs in Toronto is a matter of some speculation. It has been estimated

that as of 2006, there were more than 2,100 mid and high-rise MURBs in Toronto and more than

4,500 low-rise MURBs14

(see Appendix A, Section 3). Toronto has the 10th

largest number of

high-rise buildings of any city in the world15

and MURBs make up the majority of these high-

rise buildings. Interestingly, among the list of cities with a large number of high-rise buildings,

Toronto only ranks 44th

in terms of population.16

This means that Toronto has an unusually large

proportion of high-rise buildings for its population. A list of the 20 cities with the most high-rise

buildings in the world is provided in Appendix A, Section 4. This data is based on a definition

of high-rise buildings having 12 or more storeys, which is different from the eight or more

storeys definition used throughout the rest of this thesis.

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1.2 Research significance

Given the large number of MURBs in Toronto and the uncertainty with the data on energy

intensity, determining an accurate estimate of energy intensity and developing an understanding

of how to reduce energy consumption is an important step in decreasing GHG emissions

associated with this sector. The Toronto City Council unanimously adopted greenhouse gas

emission targets in 2007 and the sustainable energy strategy released in 2009 indicates that the

residential sector is responsible for more than 40% of Toronto’s GHG emissions due to

electricity and natural gas consumption.17

As the largest component of the residential housing

stock, energy conservation in MURBs will play an important role in meeting GHG emission

targets in Toronto.

Additionally, more than half (51%) of all mid and high-rise MURBs in Toronto were built

between 1960 and 197918

(see Appendix A, Section 3). These buildings are aging and are

notoriously energy-inefficient.19

On a relative basis, apartments across Canada built from 1946

to 1969 have an average energy intensity that is 14% higher than the average of Canadian

apartments in all vintage categories. When compared with the most energy-efficient vintage

category (1980-1989), apartments built from 1946 to 1969 have a 45% higher EI than apartments

built from 1980 to 1989.20

Gathering and analysing energy consumption information that is representative of Toronto

MURBs is the first step toward the goal of reducing energy use. The energy consumption

information can be used to generate benchmarks that characterize current energy use profiles.

Buildings can also be categorized based on the characteristics that have the most significant

effect on energy consumption. Recognizing that there are limited economic and human

resources, the categorization can eventually be used to set priorities for energy retrofits in

MURBs.

1.3 Scope of work

The focus of this thesis is to examine trends between MURB energy consumption and building

characteristics for Toronto buildings. An analysis was first carried out on a group of 108

buildings that came from three different data sets. This stage will be referred to as the “Meta-

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Analysis”. The Meta-Analysis data set was then distilled and supplemented with new data to

include 40 buildings with more complete energy consumption information as well as more

detailed building characteristics information. This will be referred to as the “Refined Data Set”.

Examination of both the Meta-Analysis data set and the Refined Data Set included the following

steps: data collection, data normalization, and a correlation analysis. A multi-variable regression

analysis and an examination of outliers were also completed for the Refined Data Set.

The findings from this research are intended to provide a basis on which to understand Toronto

MURB energy use with the ultimate aim to support policy and programmatic interventions to

achieve significant energy-use and greenhouse gas emissions reductions in existing buildings.

1.4 Thesis structure

This thesis is structured into three parts. The first part consists of Chapters 2, 3, 4, and 5 and

provides background information including a literature review, data collection procedures, the

data characteristics and the methodology. Information in each of these chapters pertains to both

the Meta-Analysis and the Refined Data Set. The second part, which is Chapter 6, is focused on

the Meta-Analysis and provides the results of the examined correlations and the preliminary

conclusions from the Meta-Analysis. The results of the Meta-Analysis represent preliminary

findings that lead to the more detailed analysis used in the Refined Data Set from which the

discussion and conclusions of this thesis are drawn. Therefore the third part, which includes

Chapters 7, 8, and 9, provides the results, discussion and conclusion of the Refined Data Set.

1.5 Terminology

A number of similar terms with subtle distinctions are used throughout this thesis. These terms

have been described below for clarity and consistency. Other terms are specific to certain

sections and will be addressed as they appear.

“Apartment” and “MURB” are used interchangeably throughout this thesis. Apartment is

generally used in reference to statistics from other sources in order to stay consistent with the

terminology of the source. However, since MURB is a broader term, it is used in all other cases.

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The terms “dwelling”, “suite” and “household” are used in similar contexts, but are all defined

slightly differently. A “dwelling” is a self-contained living unit that could be a single detached

home or part of a single attached home, apartment building, or MURB. A “suite” is a more

specific type of dwelling found only in apartments or MURBs. A “household” is a person or a

group of people occupying one dwelling. Supplier-side energy statistics are often provided on a

household basis whereas consumer-side energy studies tend to quote energy use per household,

per dwelling, or per suite.

The “City of Toronto” has been shortened to “Toronto” throughout this thesis. The “Greater

Toronto Area” (GTA) is also referred to. The GTA consists of the larger Toronto metropolitan

region which includes the central City of Toronto as well as the municipalities of Durham,

Halton, Peel and York.

“Total energy consumption” refers to the total natural gas and electricity consumption expressed

in equivalent kilowatt hours (ekWh). Total energy consumption does not include other fuel

sources such as coal, propane, heating oil or wood. Energy consumption statistics from other

sources that are provided in gigajoules (GJ) have been converted into kWh when cited in this

thesis.

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Chapter 2 Literature Review

A large range of values for the average energy intensity of MURBs in Canada and Ontario have

been reported in different studies. These studies will be reviewed and evaluated in order to

understand why such a large range of values exist and to determine an appropriate point of

reference with which to compare the energy intensity data presented in this thesis.

Most MURB energy studies can be classified as either consumer-side studies or supplier-side

studies. In a supplier-side study, aggregate energy consumption data is collected from energy

providers such as natural gas utility companies or electricity suppliers. Analysis techniques are

then applied to process the aggregate data and split it into more useful categories. In a

consumer-side study, energy consumption data is collected from individual households or

MURBs. The challenge of this process is to standardize the data collected and combine it into

more meaningful data categories.

2.1 Consumer-side studies

There are a number of studies that have analyzed energy consumption in MURBs by examining

electricity and natural gas meter readings for individual buildings. Because accessing this data

can be time consuming and permission is often difficult to obtain, these studies have reasonably

small sample sizes of less than 100 buildings each. Summaries of five consumer-side studies are

provided below including three studies of MURBs in Ontario, one study of MURBs across

Canada and one study of MURBs in British Columbia.

Canadian Mortgage and Housing Corporation (CMHC), 200521

Natural gas and electricity meter readings taken at 15-minute intervals for 34 MURBs over the

course of two years were used for this study. The buildings were concentrated in the GTA and

ranged in size from 69 suites to 473 suites.22

Three of the buildings were electrically heated and

had an average energy intensity of 344ekWh/m2. The remaining 31 buildings were heated with

central gas-fired boilers. The energy intensity for these buildings ranged from 281ekWh/m2 to

581ekWh/m2 and averaged 400ekWh/m

2. The average end-use distribution for the gas heated

buildings was 27% electricity, 49% natural gas space heating, and 24% domestic hot water.23

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The focus of the study was to determine whether variations in energy use from one building to

another were related to building characteristics including age, floor area, height and facilities

such as pools. No reliable relationships between energy use and building characteristics were

found in this study and it was concluded that other factors related to ‘insulation, air leakage rates,

combustion efficiencies, stand-by losses, controls and distribution inefficiencies… or poor

energy management’24

may yield stronger correlations.

Ontario Housing Corporation (OHC), 200025

Energy audits conducted on 88 MURBs formed the basis of this study. These buildings were

randomly selected from a portfolio of public housing MURBs managed by OHC. The buildings

ranged height from one to 23 storeys, contained between 10 and 489 units, and were constructed

between 1960 and 1989. Two years of energy consumption data were collected for each

building.26

The average energy intensity for the 88 MURBs was found to be 232ekWh/m2.27

This study also examined how occupant type, fuel type, degree days, year of construction,

number of stories, gross floor area and region influenced energy use in MURBs. It was found

that the energy intensity of MURBs housing primarily senior citizens was almost half that of

MURBs housing primarily families. Additionally, it was observed that energy intensity

increases as height and gross floor area increase; however, the strength of this relationship was

not revealed. Finally, it was stated that building age affects energy intensity, but no further

discussion on this trend was provided.

National Research Council of Canada (NRC), 198228

In 1982, the Standing Committee on Energy Conservation conducted a study to define

appropriate energy consumption targets and guide requirements for the National Building Code

This was accomplished by examining energy consumption information from five different data

sets with a total of 216 MURBs located across Ontario and Quebec. One data set consisted of a

group of 50 Toronto MURBs and was collected by the OHC over a four year period (from 1975

to 1978).29

The buildings ranged height from 7 to 42 storeys, contained between 81 and 461

units, and were constructed between 1961 and 1973.30

The energy intensity for these buildings

ranged from 200ekWh/m2 to 730ekWh/m

2 and averaged 407ekWh/m

2.31

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The data set of 50 Toronto MURBs showed the trend of decreasing energy intensity with

increasing floor area;32

however, this trend was not reflected in the other four data sets that were

included in the study.33

The second data set provided by the OHC consisted of one year of

energy consumption data for a group of 47 MURBs located in Ontario, but outside Toronto. The

energy intensity for these buildings ranged from 134ekWh/m2 to 672ekWh/m

2 and averaged

287ekWh/m2.34

The third data set of Ontario MURBs was provided by Ontario Hydro for a

group of 52 buildings each with one year of data. The energy intensity for these buildings

ranged from 126ekWh/m2 to 964ekWh/m

2 and averaged 320ekWh/m

2.35

High-rise statistically representative (HiSTAR) database, 200736

An analysis of 81 MURBs from across Canada was conducted based on information from the

HiSTAR database. The buildings ranged in height from four to 35 storeys, contained between 27

and 510 suites, had a gross floor area of between 2,200m2 and 43,000m

2, and were constructed

from 1920 to 1994.37

The average energy intensity for all 81 building ranged from 136ekWh/m2

up to 495ekWh/m2 and averaged 267ekWh/m

2.38

The majority of the buildings (55) were

located in Ontario and had an average energy intensity of 275ekWh/m2.39

Based on the analysis of the data, it was determined that the energy intensity of privately owned

MURBs was 35% higher on average than the energy intensity of MURBS providing public

housing.40

Additionally, gas heated buildings had a 40% higher energy intensity than electrically

heated buildings on average.41

Finally, the analysis showed that as energy intensity increased,

gross floor area decreased; however, as energy consumption per suite increased, gross floor area

also increased.42

This relationship was explained by the fact that larger buildings have larger

suites.

RDH Building Engineering, 201243

A study of energy consumption was conducted on 39 mid and high-rise MURBs located in

British Columbia (BC). A minimum of two years of energy consumption information for each

building was used for the analysis and whole building energy models were created for 11 of the

buildings. The buildings ranged in height from five to 33 storeys, contained between 16 and 212

suites, had a gross floor area of between 2,150m2 and 20,000m

2, and were constructed from 1974

to 2002.44

The energy intensity of these buildings ranged from 144ekWh/m2 to 299ekWh/m

2 and

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averaged 213ekWh/m2. The average end-use distribution for the buildings was 38% electricity,

37% space heating (30% electricity and 70% natural gas), and 25% domestic hot water.45

It was observed that buildings constructed more recently (1990s to present) had higher energy

intensity than older buildings (1970s and 1980s). Additionally, buildings that derive more than

55% of their heating from electricity tended to have lower energy intensity than buildings heated

primarily with natural gas.

The five studies briefly summarized above provide a wide range of values for MURB energy

intensity based on consumer-side data with individual MURB energy intensities ranging from

136ekWh/m2 to 964ekWh/m

2 and data set averages ranging from 213ekWh/m

2 to 407ekWh/m

2.

Some of the studies examined how certain building characteristics could contribute to the

variation in energy intensity from one building to another. As summarized in Table 2, the trends

identified for occupancy type, building age and size were not strong and often showed

contradictory results from one study to another. Trends related to the type of heating appeared to

be the most consistent.

Table 2: Summary of characteristics influencing energy intensity

Characteristic Study Observed trend

Occupancy

type

OHC For public housing, the energy intensity of MURBs housing seniors is

almost half the energy intensity of MURBs housing families.

HiSTAR For public and private housing, seniors consumed only 10% less than

families on a per suite basis.

HiSTAR Privately owned MURBs have 35% higher energy intensity than MURBs

providing public housing.

Age CMHC No relationship between age and energy intensity was observed.

OHC Age affects energy intensity.

HiSTAR Buildings constructed most recently (1981 to 1994) have a 33% lower

energy intensity than older MURBs (1961 – 1980); however, these

MURBs have similar energy consumption per suite.

RDH Buildings constructed most recently (1990 to 2002) have a higher energy

intensity than older MURBs (1970s and 1980s).

Size CMHC No relationship between gross floor area and energy intensity was

observed.

OHC MURBs with a larger gross floor area have higher energy intensity.

NRC MURBs with a larger gross floor area have lower energy intensity.

HiSTAR MURBs with a larger gross floor area have lower energy intensity.

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Type of

heating

CMHC MURBs heated with natural gas have 16% higher energy intensity than

buildings heated with electricity.

HiSTAR MURBs heated with natural gas have 40% higher energy intensity than

buildings heated with electricity.

RDH MURBs heated with natural gas have higher energy intensity than

buildings heated with electricity.

The table above examines reasons for variations in energy intensity from one building to another;

however, there are also factors contributing to the variation in average energy intensity from one

study to another. The average energy intensity reported by each study is based on MURBs in

different geographic locations, energy data from different years, MURBs representing various

vintages and heights, and different sample sizes. Additionally, although the methodology used to

obtain energy consumption data for each study was not specified, it likely varied from study to

study and yielded data with different levels of reliability and completeness. Table 3 provides a

summary of the energy intensity results from each of the studies.

Table 3: Summary of studies

Study Sample

size

MURB

location

Energy

consumption data

year

Average energy

intensity

(ekWh/m2)

Range of energy

intensities

(ekWh/m2)

CMHC 31 GTA May 2001 – May

2003

400 281 – 581

OHC 88 Ontario Unknown. 2 years

prior to 2000

232 Unknown

NRC – Toronto

data set

50 Toronto 1975 – 1978 407 200 – 730

NRC – Ontario

data set

47 Ontario

(except

Toronto)

1977 287 134 – 672

NRC – Ontario

Hydro data set

52 Ontario 1977

(estimated)

320 126 – 964

HiSTAR – all 81 Canada 1998 or 1999 267 136 – 495

HiSTAR –

Ontario

55 Ontario 1998 or 1999 275 Unknown

RHD 39 BC Minimum 2 years

from 2000 - 2010

213 144 - 299

The study with the lowest average energy intensity was the RDH study. This is likely because

the MURBs from this study were located in BC where the weather is mild compared with

Ontario. Heating degree days (HDDs) are a common measure used to estimate the heating needs

for a particular climate. The average annual HDDs for Vancouver are 2,062,46

whereas the

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average annual HDDs for Toronto are almost twice as large at 4,066.47

Therefore, less heating

energy is required for BC MURBs. Additionally, electricity is more commonly used for heating

in BC because it is less expensive and in good supply. Both the CHMC and HiSTAR studies

showed that electrically heated buildings use less energy than gas heated buildings, so it follows

that BC MURBs would have a lower energy intensity since a higher proportion are electrically

heated.

The study with the highest average energy intensity was the NRC data set for Toronto buildings.

This may be because the data is from about 25 years earlier than the other studies examined. The

average number of annual HDDs in Toronto from 1975 to 1978 was 3,675,48

whereas the

average number of annual HDDs in Toronto from 1999 to 2002 was more than 10% lower at

3,265.49

Therefore, more heating was required in the MURBs from 1975 to 1978, leading to

higher energy intensity. Another reason that older data may yield higher average energy

intensity is because of a change in attitude toward energy efficiency. Occupants and property

managers may have been less concerned with energy conservation because of the lower cost of

energy and general public awareness for energy conservation.

The other two NRC data sets from 1977 did not have similarly high average energy intensities as

the Toronto data set did. This may be explained by the range in energy intensities. The lowest

energy intensities are 134ekWh/m2 and 126ekWh/m

2 for the two data sets. The data sets could

contain many highly energy-efficient buildings; however it is more likely that the energy

consumption data was incomplete and the quoted energy intensities did not account for all of the

energy consumption within the buildings. This may have occurred if fewer than twelve months

of data were reported for the annual total or if the building was sub-metered and not all of meter

readings were available. This commonly occurs when suites are sub-metered for electricity. The

electricity consumption of the common areas is available, but the electricity consumption for the

suites is not.

The CMHC study had the second highest average energy intensity. This is likely because

electrically heated buildings and buildings with incomplete electricity data were removed from

the sample before the average was taken. None of the other studies mention removing these two

groups, which intrinsically have lower energy intensities and would bring the average down.

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The average energy intensity for all the consumer-side studies on Ontario MURBs reviewed here

is 305ekWh/m2. This average was weighted based on the number of buildings in each data set.

No other weightings based on the quality of data in in each of the study’s data sets were

considered since information on the reliability and completeness of the data was not readily

available. The average energy intensity of 305ekWh/m2 will be used for comparison purposes

throughout this thesis.

2.2 Supplier-side studies

Statistics on energy consumption in Canada are collected by a number of government agencies

including Statistics Canada and Natural Resources Canada’s Office of Energy Efficiency.

Information about residential energy use can be obtained from reports and data published by

these agencies. However, before this data can be used as a point of reference, it is important to

investigate how the data was collected so that the accuracy, completeness and relevance of the

data can be considered. The discussion presented here will be limited to energy data for the

residential sector with a focus on MURBs, although many of the sources discussed are concerned

with a much broader scope of energy production and consumption.

The three main sources for residential energy use data are: The Survey of Household Energy Use

(SHEU), the Energy Use Data Handbook (EUDH) and the Comprehensive Energy Use Database

(CEUD). Figure 1 provides a simplified diagram of the flow of information showing where data

comes from for these sources. As shown in the diagram, information collected in the Report on

Energy Supply and Demand in Canada (RESD), the SHEU as well as other surveys and data

sources are combined as inputs into the Residential End-Use Model. The Residential End-Use

Model processes the data and disaggregates it into categories as reported in the EUDH and the

CEUD.

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Figure 1: Flow of information for residential energy use data provided by government agencies

Report on Energy Supply and Demand in Canada (RESD)50

This report is produced annually and consists of a series of data tables that quantify all energy

production, import, export and consumption for different sources of energy in Canada. Statistics

on the total amount of energy used in the residential sector within each province and fuel type is

derived from this report for input into the Residential End-Use Model.

The main strength of the RESD data is that it represents a survey of the universe, not a survey of

a sample. This means that the data reflects the actual total energy supply and demand. The

limitation of the RESD occurs when the data is split into sectors such as residential, commercial,

or industrial. The residential sector is concerned primarily with natural gas and electricity

consumption. This data is based on information provided by natural gas utility companies and

electric supply and distribution companies. These companies are responsible for accurately

coding customers based on their end-use sector. According to the RESD, “many reporting

companies, especially in the… natural gas & electricity areas, have difficulty in determining the

final consumers of the product.”51

This means that energy consumption is sometimes allocated

to the incorrect sector. Although this mistake would occur more frequently in other sectors, it

could occur in the residential sector. For example, a dwelling on farmland could be confused

with the agricultural sector or a MURB associated with a commercial or educational

establishment could be misallocated.

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Survey of Household Energy Use (2007)52

The SHEU is based on both consumer-side and supplier-side information, but has been included

in the supplier-side section of this chapter because it is closely related to the other supplier-side

studies. Unlike the RESD, the SHEU is based on a three stage survey of a sample. The first

phase consisted of a computer-assisted telephone interview with dwelling owners and renters to

collect information on household energy use characteristics. The second phase was a paper mail-

back questionnaire completed by the same dwelling owners and renters to collect information on

factors affecting energy use in households. In the third phase, 2007 energy consumption data

was collected directly from households or energy suppliers of the same sample of dwellings as in

phase one and two.53

A total of 9,773 dwellings were surveyed, which represents a sample of

about 0.07%.54

Inconsistencies in the responses between the three phases show that respondents often lack the

knowledge required to provide accurate responses.55

The small sample size and the inaccurate

survey responses are the main limitations of the SHEU data.

Residential End-Use Model

This is a stock accounting model that combines the RESD and SHEU data with sales data, usage

profiles and other stock characteristics to allocate energy use to different categories. These

categories include: four building types, eight vintages, six fuel types, ten provinces, and five end-

uses.56

The results of the Residential End-Use Model are reported in the EUDH and the CEUD.

Relevant energy use data from the sources outlined above are provided in Table 4. Although the

SHEU 2007 data supersedes the SHEU 2003 data, the SHEU 2003 data has still been provided

since its statistics are often quoted as a point of reference for energy intensity in literature.

Table 4: Summary of energy consumption statistics from supplier-side data sources

Source Sample Type Energy Use Statistic

SHEU 200757

Canada low-rise apartments 12,200kWh/household

Canada high-rise apartments 12,200kWh/household

Ontario low-rise apartments 14,500kWh/household

Ontario high-rise apartments 12,400kWh/household

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SHEU 200358

Canada apartments 305kWh/m2

Canada apartments (built 1946-1960) 347kWh/m2 (“Use with caution”)

Canada apartments (built 1980-1989) 239kWh/m2 (“Use with caution”)

Canadian apartments (built 1990-2003) 283kWh/m2 (“Use with caution”)

Ontario apartments Statistic unavailable

British Columbia apartments 239kWh/m2

EUDH59

Canadian Apartments – 2009 197kWh/m2

17,200kWh/household

CEUD

Canadian Apartments - 200960 197kWh/m

2

17,200kWh/household

Ontario Apartments - 200961

203kWh/m2

16,100kWh/household

BC Apartments - 200962

153kWh/m2

13,900kWh/household

In the SHEU 2007, energy use per household was provided; however, energy intensity on a floor

area basis was not provided. This may be because much of the energy intensity data collected

for the SHEU 2003 was unavailable in certain categories and marked “use with caution” in other

categories. Therefore, the energy intensity data may have been considered too unreliable to be

published in the SHEU 2007.

The EUDH and the CEUD both obtain their data from the same sources as discussed previously.

This is confirmed by both sources providing the same value for energy intensity and energy use

per household for Canadian apartments in 2009.

The SHEU 2007 energy consumption per household for Canadian apartments is 40% lower than

the EUDH energy consumption per household. However, the opposite tendency is shown in the

energy intensity data. For Canadian apartments, the EUDH data is more than 50% lower than

the SHEU 2003 data. One explanation for this may be the way that common area energy use is

treated in each of the two studies. In the SHEU, energy data is obtained on a household basis.

Therefore the owner or renter being surveyed would probably not include a portion of the

common area energy use in their household consumption. This would result in a lower energy

use per household and higher energy intensity (assuming that the energy intensity of common

areas is lower than the energy intensity of the suites or households). The EUDH energy data is

based on more aggregate energy consumption information from the RESD that would probably

include the common area energy and assign a portion of it to each household. This would

increase the energy use per household and decrease the energy intensity.

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2.3 Comparison of consumer-side and supplier-side data

Consumer-side and supplier-side studies are conduced differently and are based on different sets

of assumptions. The average energy intensity of a consumer-side data set is often compared with

data from the EUDH or the CEUD. However, absolute comparisons between these data sets

should not be relied upon. The supplier-side studies provide lower average energy intensities for

all MURB categories than the consumer-side studies do (see Table 1, page 2). Therefore,

comparing a consumer-side data set with supplier-side statistics will cause the consumer-side

data set to appear more energy inefficient than it is.

However, comparisons can be made on a relative basis between supplier-side and consumer-side

data sets. For example, the fact that MURBs located in British Columbia have a lower energy

intensity than MURBs located in Ontario was shown in the consumer-side studies and can be

reinforced by the supplier-side statistics. Additionally, the energy mix proportions of natural gas

and electricity found in consumer-side data can be compared with supplier-side data since this is

a relative comparison. Since the SHEU data is a combination of consumer-side and supplier-side

data, absolute comparisons should not be made with consumer-side or supplier-side data sets.

Finally, if comparisons are drawn between consumer-side data sets, allowances for different data

set characteristics must be considered and discussed.

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Chapter 3 Data Collection and Data Sources

Many parties such as public housing organizations, property management companies, and

engineering consulting firms collect MURB energy consumption data. However, this data is not

generally shared between parties because a certain level of effort or investment of resources was

required to collect the data. Logically, the parties who collected the data want to realize the

benefit of the information themselves rather than sharing it with their competitors. Additionally,

MURB energy consumption data can be difficult to collect or share because of barriers due to

privacy. For these reasons, data sets used in published consumer-side energy consumption

studies, like the ones outlined in the literature review, are usually of a limited size. In most

cases, funding from a third party is required to provide the necessary motivation to disclose

MURB energy use data.

Similar obstacles related to confidentiality and opposition to sharing data were faced in

collecting information for the Meta-Analysis and the Refined Data Set. The goal of the Meta-

Analysis was to collect and examine information for as many MURBs in Toronto and the

surrounding area as possible. Following the completion of the Meta-Analysis, the Refined Data

Set was formed from a combination of newly collected data and data selected from the Meta-

Analysis. The data sources and the data collection process for the two phases are described

below.

3.1 Meta-Analysis data sources

The Meta-Analysis data set, which included 108 buildings, was formed from three sources: the

HiSTAR database developed by CMHC; the Green Condo Champions Project developed by

TAF; and the Tower Renewal Benchmarking Initiative, also developed by TAF. Combining data

from different sources provides the advantage of a larger sample for analysis; however,

variations and limitations of the data from different sources must be considered in the analysis

procedure.

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The first data source for the Meta-Analysis was the HiSTAR database. The database was

developed by CMHC in partnership with Natural Resources Canada to gain a better

understanding of energy and water use in apartment buildings. Working with consulting firms

across Canada, they gathered data from 81 buildings and assembled the information in a

Microsoft Access database.63

CMHC generously permitted access to a modified version of this

database that protects the anonymity of the building owners. Although the database contains

information from buildings nationwide, only the 55 buildings located in Southern Ontario were

included in the Meta-Analysis since these buildings share a similar climate. The building

construction dates range from 1941 to 1994, and building heights range from four to 35 storeys.

The second data set, TAF’s Green Condo Champions (“Condo Champs”) data set, consists of

energy audits of 50 condominium buildings in the Toronto area collected by Mann Engineering.

Building directors from the participating condominiums attended training and engagement

programs focused on cutting energy costs and reducing GHG emissions and received an audit

report and recommendations for strategies to reduce energy use in their buildings. Of the 50

buildings, energy audits from 42 buildings were provided for use in the Meta-Analysis. The

building construction dates range from 1971 to 2007 and the building heights range from four to

46 storeys.

The third data set originated from the Tower Renewal Benchmarking Initiative. It was run by

the City Manager’s Office and was partially funded by TAF. In this project, monthly energy

consumption data were collected from 29 high-rise rental apartments by Enerlife Consulting.

The purpose of the project was to begin an energy benchmarking system that could lead to

improvements in energy performance. Of the 29 buildings, the annual energy consumption

information for use in this meta-analysis was provided for 11 of the buildings. The building

construction dates range from 1961 to 1978 and the building heights range from nine to 33

storeys.

Table 5 presents a summary of the Meta-Analysis data sources and the type of energy

consumption information that was provided by each source. The HiSTAR database provided

both electricity and natural gas information for each building consisting of an annual total as well

as between two and twelve months of data for the same year. The Condo Champs data set did

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not provide any electricity consumption information; however, monthly natural gas consumption

over a period of four years was provided for each building. Finally, the Tower Renewal

Benchmarking Initiative data provided the total consumption over one year for both natural gas

and electricity.

Table 5: Summary of Meta-Analysis data sources

Source of data Number of

buildings

Building

locations

Data

year

Electricity

data?

Natural

Gas

data?

Comments

HiSTAR from

CMHC

55 34 - Toronto

11 - GTA

10 - Ontario

1998

OR

1999

YES YES 1 year of data:

annual and monthly

for most buildings,

annual and only a

few months for some

Condo Champs

from TAF, Mann

Engineering

42 42 - Toronto 2006

to

2010

NO YES 3 to 4 years of data:

monthly

Tower Renewal

Benchmarking

Initiative

11 11 - Toronto 2009 YES YES 1 year of data:

annual

3.2 Refined Data Set data collection

The Meta-Analysis was limited in part because of the extent and completeness of the energy

consumption data. The Refined Data Set was formed to address the data limitations of the Meta-

Analysis by examining a modified data set composed of buildings with more complete energy

consumption and building characteristics data. The Refined Data Set consists of 40 buildings

and is composed of both newly acquired data as well as select data from the Meta-Analysis. The

methods used to collect the new data and select from existing data are outlined below.

There were 20 new buildings added to the Refined Data Set. Two of the newly added MURBs

were the focus of a study by Tzekova et al.64

and three were the subject of a community energy

plan for the City of Toronto.65

Information on the 15 other newly added MURBs was obtained

from energy audit reports conducted by engineering consulting firms for projects being carried

out by the City of Toronto’s Tower Renewal Office.

Twenty buildings from the original Meta-Analysis data set were used in the Refined Data Set.

The Meta-Analysis data source that showed the greatest potential for inclusion was the Condo

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Champs data set since it included four years of monthly natural gas consumption information as

well as energy audit reports for each of the buildings. However, electricity consumption

information was not contained within the original data set. To obtain this electricity data,

contacts at each of the 42 buildings were sent a letter asking for permission to acquire electricity

consumption information directly from Toronto Hydro. A sample of the letter seeking

permission to access the data as well as a Frequently Asked Questions (FAQs) sheet provided

later in the process can be found in Appendix B. Many of the contacts chose not to complete the

data release form and others did not respond, even after multiple follow-up phone calls and

emails. Permission to access electricity consumption information for nine of the 42 buildings

was eventually obtained. In four of these nine buildings, residents were metered individually and

only permission for access to common electricity consumption could be obtained. Therefore,

only five buildings in the Refined Data Set come from the Green Condo Champions Project.

To obtain more buildings for the Refined Data Set, some of the buildings from the HiSTAR

database originally included in Meta-Analysis were selected. Although the HiSTAR data

contained electricity and natural gas consumption information for 55 Ontario buildings, the

quality and completeness of the data were found to be variable. Additionally, not all of the

buildings were located in the City of Toronto. Only HiSTAR buildings that met the following

criteria were included in the Refined Data Set:

• the building had to be located in the City of Toronto;

• more than eight months of natural gas and electricity consumption data had to be

available and;

• when weather normalization was carried out, a coefficient of determination (R2) greater

than 0.8 had to be achieved for the energy source providing the primary heating (usually

natural gas).

Upon examining the HiSTAR data, 15 of the 55 buildings used in the Meta-Analysis were

considered adequate for inclusion in the Refined Data Set.

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Chapter 4 Data Characteristics and Limitations

This chapter summarizes the characteristics of the buildings in the Meta-Analysis data set and

the Refined Data Set and compares them with characteristics of Toronto MURBs. These

comparisons are drawn to determine whether the two data sets (samples) are representative of the

actual population within various categories and whether certain categories are under-represented.

Other limitations of the data sets are also discussed in this Chapter.

4.1 Summary of data

The Meta-Analysis data set contains 108 buildings: 90 buildings are located in the City of

Toronto and 8 are located around Toronto in the cities of Thornhill, Mississauga, Scarborough

and Brampton. The remaining 10 buildings are located in other cities around Southern Ontario

including Whitby, Peterborough, Lindsay, Windsor and Ottawa.

The City of Toronto contains an estimated 2,100 mid and high-rise MURBs of five or more

storeys and 4,500 low-rise MURBs of four or fewer storeys (see Appendix A, Section 3). The

Meta-Analysis sample represents approximately 1.6% of the total number of MURBs in Toronto

and 4.8% of mid and high-rise MURBs.

The Refined Data Set of 40 MURBs includes only mid and high-rise MURBs. Therefore, the

Refined Data Set represents 1.9% of the mid and high-rise population and 0.7% of the total

MURB stock in Toronto. Table 6 contains a summary of the size and date of construction of the

buildings examined in the Meta-Analysis and the Refined Data Set. More detailed information

about the characteristics of individual buildings can be found in Appendix C.

Table 6: Summary of Meta-Analysis and Refined Data Set building characteristics

Meta-Analysis Refined Data Set

Min. Max. Median Min Max Median

Number of storeys 4 46 13 5 28 13

Number of suites 19 719 188 68 339 156

Date of construction 1941 2009 1984 1960 2003 1979

Gross floor area (m2) 2,000 102,000 18,400 3,340 35,900 13,600

Attributed suite area (m2) 42 279 104 45 250 96

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In order to understand whether the Meta-Analysis data set and the Refined Data Set are

representative of the MURB population in Toronto, these data sets have been compared with

information taken from an online database called TObuilt. The database is focused on high-rise

buildings and there are entries for a total of 1,609 high-rise MURBs, and 131 mid-rise MURBs.66

The raw data taken from TObuilt is provided in Appendix D as well as an explanation as to how

the TObuilt data has been weighted to account for its limited data on mid-rise buildings.

In Figure 2 and Figure 3, “% of Meta-Analysis Sample” and “% of Refined Data Set Sample”

mean the number of buildings in the Meta-Analysis data set and the Refined Data Set that fall

within a given category divided by the total number of buildings in either the Meta-Analysis data

set or the Refined Data Set. Similarly, “% of population” means the number of buildings in

Toronto that fall within a given category divided by the total number of buildings in Toronto.

The data for the number of Toronto buildings in each height and age category has been

calculated by adjusting data derived from the TObuilt database. If the percentage of sample is a

similar number to the percentage of the population, the category is represented in the sample in

equal proportion to that of the actual population. If the % of sample is larger, then that category

is over-represented in the sample and if the % of sample is smaller, then that category is under-

represented.

Figure 2: Distribution of building height in the sample compared with the population

0%

5%

10%

15%

20%

25%

30%

35%

0%

5%

10%

15%

20%

25%

30%

35%

5 – 8 9 – 12 13 – 16 17 – 20 21 – 24 25 – 28 > 28

% o

f P

op

ula

tio

n

% o

f S

am

ple

Number of Storeys

Distribution of Building Height in the Sample

Compared with the Population% of Meta-Analysis Sample % of Refined Data Set Sample % of Population

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Within the height categories shown in Figure 2, the Meta-Analysis data set is represented in all

the groupings and the Refined Data Set is represented in all but the tallest. The height ranges

that are over-represented or under-represented in both the Meta-Analysis and the Refined Data

Set are generally in neighbouring categories and would balance one another out if the ranges

considered were larger. For example, the nine to 12 storey category is over-represented, but is

balanced by the 13 to 16 storey category, which is under-represented. Similarly, the 17 to 20

storey category is under-represented, but is balanced out by the 21 to 24 storey category.

Therefore, the Meta-Analysis data set and represents an adequate distribution of building heights

for mid and high-rise MURBs and the Refined Data Set also represents an adequate distribution

of MURBs up to 28 storeys.

Figure 3: Distribution of building construction date in the sample compared with the population

Within the vintage categories shown in Figure 3, the Meta-Analysis data set is represented in all

the date ranges, and the Refined Data Set is represented in all but the oldest. Both the Meta-

Analysis data set and the Refined Data Set are most significantly over-represented in the 1991 to

2000 time period, while they are both under-represented in the 2001 to 2010 time period. The

two categories with the highest proportion of the MURB population, 1961 to 1970 and 1971 to

1980, are both reasonably well-represented by the two data sets. For the period from 1946 to

1990, the distribution of buildings in the Refined Data Set matches the population fairly well.

0%

5%

10%

15%

20%

25%

30%

35%

0%

5%

10%

15%

20%

25%

30%

35%

Before

1946

1946 –

1960

1961 –

1970

1971 –

1980

1981 –

1990

1991 –

2000

2001 –

2010

% o

f P

op

ula

tio

n

% o

f S

am

ple

Time Period

Distribution of Building Construction Date in the

Sample Compared with the Population

% of Meta-Analysis Sample % of Refined Data Set Sample % of Population

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24

This is important since it shows that the sample reflects the population that is being characterized

by this study.

Overall, the Meta-Analysis data set represents buildings in all the vintage and height categories

examined. Ideally, the proportions of the buildings’ distributions among the categories would

match the population’s more closely. The Refined Data Set matches the population’s

distribution of buildings slightly better than the Meta-Analysis data set does; however, two of the

examined categories are not represented. These categories are buildings with more than 28

storeys and buildings constructed prior to 1946.

4.2 Frequency distributions

Frequency distributions have been provided for the building characteristics where data for

comparison to the population were not readily available. These characteristics include number of

suites, gross floor area, and average attributed suite size. Each frequency distribution shows the

percent of the sample represented in a particular category within the Meta-Analysis data set or

the Refined Data Set. The data label at the top of each bar denotes the actual number of

buildings within the category for each of the data sets.

The number of suites in each building, categorized into ranges by hundreds of suites, is shown in

Figure 4. Within the Meta-Analysis data set, the number of suites in each building ranged from

19 to 719 with a median of 188. The number of suites was unspecified for one of the buildings

and was estimated to fall into the one to 100 suites range based on the building’s gross floor area.

Within the Refined Data Set, the number of suites in each building ranged from 68 to 339 with a

median of 156. For both data sets, buildings that had 101 to 200 suites were the best represented.

The Refined Data Set did not represent any buildings with more than 400 suites, whereas the

Meta-Analysis data set did. Generally, both data sets represent a similar distribution of buildings

based on the number of suites per building.

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25

Figure 4: Number of suites per building

Figure 5 shows the gross floor areas of the buildings split up in increments of ten thousand

square metres. The floor area of each building was specified in the original data sources. In

most cases, a definition of what was included in the floor area was not provided, however it is

assumed that the gross floor area represents the total area containing the residential suites, the

lobby, the common areas, and any conditioned recreational areas. It typically does not include

underground parking areas even though this space is conditioned in many buildings. The

implications of this assumption are discussed further in the data limitations section of this

chapter.

Within the Meta-Analysis data set, the gross floor areas ranged from 2,000m2 to 102,000m

2 with

a median of 18,400m2. Within the Refined Data Set, the gross floor areas ranged from 3,340m

2

to 35,900m2 with a median of 13,600m

2. For both data sets, buildings that fell into the range of

10,000m2 to 20,000m

2 were the best represented. The Refined Data Set did not represent any

buildings with a gross floor area greater than 40,000m2, whereas the Meta-Analysis data set did.

Generally, both data sets represent a similar distribution of buildings based on the gross floor

area.

24

40

25

12

3 4

1315

9

3

0%

10%

20%

30%

40%

50%

60%

70%

1-100 101-200 201-300 301-400 401-500 >500

Pe

rce

nt

of

Sa

mp

le

Number of Suites

Number of Suites per BuildingMeta-Analysis data set Refined Data Set

Number of

Buildings

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26

Figure 5: Gross floor area per building

Figure 6 shows the average attributed suite area of the buildings split up in increments of 50m2.

The average attributed suite area provides an approximation of the average actual suite size by

dividing the gross floor area by the number of suites. Note that this average attributed suite area

will be larger than the actual suite size because it also includes a proportion of the common

areas.

Within the Meta-Analysis data set, the average attributed suite areas ranged from 42m2 to 279m

2

with a median of 104m2. Within the Refined Data Set, the gross floor areas ranged from 45m

2 to

250m2 with a median of 96m

2. For both data sets, buildings that fell into the range of 51m

2 to

100m2 average attributed suite area were the best represented. Both data sets represented

buildings in all the suite size categories and had a similar distribution of buildings based on

attributed suite sizes.

According to supplier-side studies, the average suite size of apartments across Canada is 84m2.67

The average attributed suite areas in Meta-Analysis data set and the Refined Data Set were

114m2 and 102m

2 respectively. Since the attributed suite size includes common areas it is

expected that the attributed suite size would be larger than the actual suite size. The average

attributed suite sizes from the Meta-Analysis data set and the Refined Data Set indicate that

common areas occupy between 17% and 26% of the gross floor area in the average building.

22

38

23

15

4 6

10

16

10

4

0%

10%

20%

30%

40%

50%

60%

70%

0-10 10-20 20-30 30-40 40-50 >50

Pe

rce

nt

of

Sa

mp

le

Gross Floor Area (1,000s of m2)

Gross Floor AreaMeta-Analysis data set Refined Data Set

Number of

Buildings

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27

Figure 6: Frequency distribution of the average attributed suite floor area

4.3 Data Limitations

The Meta-Analysis data set and the Refined Data Set deal with two types of data: energy

consumption data and building characteristics data. Imperfections in the energy consumption

data are the primary limitation of the Meta-Analysis data set and imperfections in the building

characteristics information are the primary limitation of the Refined Data Set; however,

imperfections in both types of data do contribute to the limitations in both data sets. The

majority of the limitations of both the Meta-Analysis data set and the Refined Data Set stem

from both being composed of data from multiple sources. This data has been collected by

various parties for different purposes at varying levels of detail and completeness.

Table 7 contains a summary of the deficiencies in the energy consumption data that limited the

usefulness of the Meta-Analysis data set. Since only simple building characteristics were

examined in the Meta-Analysis data set, most of the limitations of the data were due to concerns

with the energy consumption data. Primary factors are concerns that were expected to have the

greatest effect on the data analysis, while secondary factors, though important, were expected to

have less of an effect on the outcome of the analysis. The outlined imperfections are inherent in

the data. Since they cannot be removed, the limitations were considered in the approach chosen

to process the data, which is described in the next chapter.

3

49

33

16

61

23

14

1 1

0%

10%

20%

30%

40%

50%

60%

70%

0-50 51-100 101-150 151-200 > 200

Pe

rce

nt

of

Sa

mp

le

Attributed Suite Area (m2)

Average Attributed Floor AreaMeta-Analysis data set Refined Data Set

Number of

Buildings

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28

Table 7: Limitations of Meta-Analysis energy consumption data

One of the limitations of the building characteristics data that was common to both the Meta-

Analysis data set and the Refined Data Set was related to the gross floor area. The method used

to obtain the gross floor area reported by each data source is not known and the parts of the

building included in the gross floor area measurement were never explicitly stated. Often, the

gross floor area is estimated from floor plans of the building, from physical measurements of the

building, or from values obtained from real estate information. These methods may not net

highly accurate measurements of total floor area. The most accurate gross floor area information

is likely to exist for condominiums since this information is used to subdivide ownership of the

building.

Errors in the estimated gross floor area have a significant effect on the results of the data

analysis, especially the energy intensity values and the average attributed suite floor area. If the

underground parking area is conditioned but not included in the gross floor area, the energy

intensity based on the occupied space of the building will be overestimated. Conversely, if the

underground parking area is not conditioned but is included in the gross floor area, the energy

intensity value would be underestimated. The effect of an inaccurate estimate of the floor area

will be diminished with a larger data set as errors off-set one another.

Since buildings for the Refined Data Set were selected expressly for the completeness of their

energy consumption data, the limitations of this data set are primarily related to the building

characteristics data. Most of the building characteristics used in the correlation analysis come

Name of data

set

Primary factor Secondary factor

HiSTAR Actual monthly use may not match the

month to which it had been assigned.

This affected the weather normalization

(especially the R2 values).

The data year was uncertain. Electricity and

natural gas information was often incomplete.

The data overall were not reliable.

Green Condo

Champions

The data set only included natural gas

data. No electricity data were

available.

No mechanical efficiencies have been applied

so the amount of useful thermal energy was

not determined. Values for mechanical

efficiencies were generally available in the

audit reports.

Tower

Renewal

Only one year of annual data was

available. This was challenging to

properly weather normalize.

No mechanical efficiencies have been applied,

so the amount of useful thermal energy was

not determined No values for mechanical

efficiencies were available.

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29

from information collected in building energy audit reports for each building. Building

information was collected by at least 12 different individuals from at least seven different

engineering consulting firms. The practices and the assumptions made by each firm vary, and

the judgment of each individual may contribute to inconsistencies and variability in the data.

Since the energy audits were not collected specifically for this study and since information was

not necessarily recorded with the aim of being directly comparable with other data sources, the

data had be scrutinized for inconsistencies. It appeared that data were often estimated; however,

no distinction is made between actually observed data and estimated data in the audit reports.

Therefore it is difficult to distinguish the reliable data from the less reliable data.

Photographs of the buildings obtained from the audit reports and internet searches were used to

improve the consistency of information such as the fenestration ratio, the presence of balconies

and through-wall slabs, the general type of wall construction and the number of floors.

Photographs were also used to confirm the presence of window unit air conditioners and roof

equipment such as make-up air units. Searches on the building address were used to obtain

supplementary information about the ownership type (seniors’ home, hospice, co-operative

housing organization) and the presence of amenities such as fitness facilities or a pool. Finally,

census information combined with the number of suites was used to estimate the number of

occupants. The effect of the limitations of the data will be discussed further as each variable is

examined in the correlations analysis in Chapter 7.

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30

Chapter 5 Methodology

Both the Meta-Analysis data set and the Refined Data Set were examined by first normalizing

the energy consumption data and then determining correlations between the energy consumption

data and the building characteristics. The energy consumption data was normalized so that direct

comparisons between buildings could be made. The main building characteristics examined in

the Meta-Analysis were building age, building size and ownership type. The main building

characteristics examined in the Refined Data Set were fenestration-to-wall ratio, window

conductance, boiler efficiency, cooling capacity of air conditioners and number of occupants.

5.1 Meta-Analysis methodology

From building to building, the energy data varied according to location, billing periods and

billing years. Therefore normalization was required to account for these variations. The

normalization process applied depended on the data characteristics and was different for each of

the three data sources. The normalization methods applied to each data source have been

summarized in Table 8 and a description of the process and purpose of each of these

normalizations follows.

Table 8: Summary of energy consumption data normalization

Processes applied HiSTAR Green Condo

Champions

Tower

Renewal

Calendarization �

Month-length

normalization � �

Total consumption

normalization �

Linear regression

weather normalization � �

Annual weather

normalization �

Once the data were normalized, buildings were tabulated according to characteristics such as

age, ownership type (rental or condominium), gross floor area, number of suites and building

height. Normalized energy consumption data were then plotted against the building

characteristics to examine correlations and determine any trends.

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31

5.1.1 Normalization analysis decisions and assumptions

This section describes the normalization procedures listed in Table 8 and identifies the data sets

to which the normalization was applied.

Calendarization

Typically, energy billing cycles do not correspond to the beginning and end of the calendar

month. These billing cycles also differ from building to building. In order to compare buildings

directly, the associated energy use for each calendar month must be determined.

Fortunately, the Green Condo Champions data contained meter reading dates. Meter reading

dates were used to apportion energy use to the appropriate calendar month based on the average

daily energy use during a billing period. The HiSTAR data were already allocated to particular

months and did not contain billing dates. As such, it was assumed that the given consumption

corresponded exactly with the month to which it was assigned. The Tower Renewal data were

not calendarized because only annual consumption data were available.

Month-length normalization

As the number of days in each month varies throughout the year, the consumption data and

heating degree days (HDDs) were normalized to a standard month with a length of 30.42 days,

which corresponds to a non-leap year. This was done so that each data point would have equal

weighting in the linear regression used for weather normalization. The total annual energy

consumption and total HDDs were kept the same, but divided proportionately among the months

of standard length. This process was completed for the HiSTAR and Green Condo Champions

data sets since both contained monthly data. It could not be applied to the annual Tower

Renewal energy consumption data.

Total consumption normalization

This process was only completed on the HiSTAR data. The process was necessary because

energy consumption was provided for the individual months along with the total annual energy

consumption. The sum of the monthly consumption data did not always equal the annual energy

consumption provided. In some cases, this discrepancy arose because energy consumption

information was missing for one or more of the months. In addition, it is possible that the billing

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32

period did not match the actual month to which the energy was assigned. If, for example, some

of the energy billed in January should have been assigned to the previous year, this would be

reflected in the annual total, but not in the monthly data. A third possible source of discrepancies

is the meter-reading practices of the utility. The utility companies will sometimes estimate the

energy use based on historical consumption rather than reading the meter and then apply a

correction to the estimate later. The correction would be reflected in the annual total, but not in

the monthly data. To account these discrepancies, normalization of the total energy consumption

was carried out by determining the difference in the sum of the monthly consumption data and

the annual data. This difference was then distributed evenly among the months before the

weather normalization was completed.

Weather normalization

The energy consumption data have been collected from a range of years and also for buildings in

different locations. Weather conditions vary from year to year and city to city thereby

influencing energy use. Thus, energy consumption data had to be weather normalized to a

common year and location to allow comparison between buildings. Following completion of the

normalizations above, weather normalization was carried out on the HiSTAR and Green Condo

Champions data sets. Weather normalization involved the following steps:

1. The monthly HDDs (x-axis) were plotted against the monthly energy consumption (y-

axis) for all of the available months of data as shown in Figure 7.

2. Linear regression was then used to determine a line of best fit for the data.

3. The coefficient of determination or the R2 value of the linear regression was determined.

The significance of this term is described below.

4. The equation of the line of best fit was used to determine the energy consumption over a

standard weather year as determined from Canadian Weather for Energy Calculations

(CWEC) data. This was done by inputting the monthly HDDs calculated from the

CWEC to determine the resulting standard monthly energy consumption. The sum of the

monthly energy consumption became the weather normalized annual consumption value.

Figure 7 shows an example of the plots created to perform the weather normalization for

each building. This graph is for one of the buildings in the Green Condo Champions data set.

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33

Figure 7: Sample graph used for weather normalization

Since no monthly data were available, this process could not be applied to weather normalize the

Tower Renewal data. Instead the data were normalized on an annual basis. The normalization

assumed the same relationship as used in the monthly weather normalization:

���������������� �

���������������∝

������������������� �

�����������������

5.1.2 Weather data

Historical weather data were retrieved and associated with the energy consumption data.

Monthly HDD data were obtained from Environment Canada for the applicable cities and years.

For buildings located in and around Toronto including those in Mississauga, Scarborough,

Brampton and Thornhill, data from the weather station in Toronto near the University of Toronto

were used. For locations further afield such as Lindsay, Whitby, Ottawa, Peterborough and

Windsor, city-specific weather data were applied.

The standard weather year to which all of the energy consumption data was normalized was

based on CWEC data. A standard reference year such as this captures the average weather over

a long period of time. The CWEC data used in this report were based on Toronto mean

temperatures from 1960-1989. The HDDs for both historical weather and the standard reference

y = 740x + 55,000

R² = 0.99

0

100,000

200,000

300,000

400,000

500,000

600,000

700,000

0 200 400 600 800

Na

tura

l G

as

Co

nsu

mp

tio

n

(ek

Wh

/mo

nth

)

Actual Monthly Heating Degree Days

Weather Normalization For Building C20

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34

year were calculated with an 18°C base, established on the assumption that heating is not

required until the exterior temperature falls below this base.68

5.1.3 Coefficient of determination (R2 values)

The coefficient of determination indicates how well the line of best fit calculated from the linear

regression explains the variation in the data. For example, how closely the HDDs correlate with

the energy consumption data of a building in the weather normalization process. An R2 value

close to one means that most of the variation is explained; however, a number close to zero

means that most of the variation is unexplained.

R2 values above 0.8 are considered acceptable in the context of weather normalization. If the R

2

value is between 0.6 and 0.8, the data were lacking a good correlation but the weather

normalization is often still done. In practice, if the R2 value is below 0.6 the weather

normalization is typically not completed. In the Meta-Analysis data set, 50% of the R2 values

were greater than 0.6, but only 20% of the buildings had a good correlation for both electricity

and natural gas consumption with weather. The HiSTAR data yielded R2 values that ranged

from 0.0001 up to 0.99. The reasons for values below 0.6 will be discussed in Chapter 6.

Nevertheless, the weather normalization was still completed so that the HiSTAR data could be

compared with the other data sets.

5.1.4 Determination of base load

When energy consumption is examined on a monthly basis, it can be separated into two

components as illustrated in Figure 8: the base loads (weather independent) and the variable

loads (weather dependent). Although lighting use, domestic hot water use and plug-loads can

show minor seasonal fluctuations and contribute to heating the building, these are considered

negligible compared with the seasonal variations produced by the heating and cooling systems.

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Figure 8: Natural gas consumption of sample MURB showing variable load and base load

For the HiSTAR and Green Condo Champions data sets, two methods were used to determine

the base load. In the first method, the average of the two months of lowest energy consumption

of each year was to estimate the base load. For example, if three years of data were available the

base load would be determined from the average of the six months of relevant data. If the

building was air conditioned, the lowest consumption was typically in the shoulder months

(April or May and September or October), while buildings without air conditioning had the

lowest consumption during the summer months.

The second method for determining the based load used the y-intercept value from the weather

normalization procedure outlined above. The y-intercept represents the energy consumed by the

building when there are no HDDs or, in other words, when no heating is required.

The majority of the Meta-Analysis correlations were conducted on the total energy consumed in

the MURBs rather than the base or variable components of electricity and natural gas.

Therefore, using these two methods to determine the base load was primarily done for

investigative purposes to determine the best method for the Refined Data Set. A comparison of

the two methods and their respective results are examined in Chapter 6.

When the base and natural gas loads were used in the Meta-Analysis a combination of the two

methods were used depending on the energy consumption data. If the weather normalization

0

20,000

40,000

60,000

80,000

100,000

120,000

140,000

Ma

r-…

Ma

y-…

Jul-

07

Sep

-07

No

v-0

7

Jan

-08

Ma

r-…

Ma

y-…

Jul-

08

Sep

-08

No

v-0

8

Jan

-09

Ma

r-…

Ma

y-…

Jul-

09

Sep

-09

No

v-0

9

Jan

-10

Ma

r-…

Ma

y-…

Jul-

10

Sep

-10

Mo

nth

ly N

atu

ral

Ga

s C

on

sum

pti

on

(m

3)

Natural Gas Consumption of Sample MURB

Base Load

Variable Load

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36

yielded an R2 value greater than 0.6 and more than six months of energy consumption data were

available, then the y-intercept method was used. Otherwise, the low average method was used.

As the Tower Renewal data contained no monthly data, the base load determination methods

outlined above were not applied. Fortunately, this data set already included separate base and

variable loads. The method used to determine these loads is unknown but they are likely based

on the average energy consumption in the summer months.

5.1.5 Shared gas meters

Some of the buildings in the Green Condo Champions data set shared a gas meter between two

buildings. In each case, the “twin” buildings had very similar physical characteristics. Therefore

the natural gas consumption data were split proportionally by the gross area of each building.

Though a reasonable approximation, it is likely that building operation and occupant behaviour

would make these numbers different.

5.1.6 Thermal energy consumption

When natural gas is consumed and converted into useful thermal energy to heat the MURB and

the domestic hot water, some energy is lost based on the efficiency of the equipment (usually the

boilers). The focus of the Meta-Analysis is on energy consumption; however it is also important

to recognize that energy consumption is a function of both a building’s thermal energy

requirements and the efficiency of the equipment converting natural gas into useful energy.

Cubic metres of natural gas supplied were converted to equivalent kilowatt-hours without

application of an efficiency factor since the efficiencies of the natural gas boilers in each

building were not known for all of the data in the Meta-Analysis. The actual efficiency and

therefore the useful thermal energy made available to the building depend on the age, type and

inherent efficiency of the mechanical equipment. Efficiencies typically range between 60-90%,

but can sometimes be higher or lower. The thermal energy requirements of a building are a

function of many parameters including type of building envelope, air tightness, building

orientation, occupancy and electrical load.

The conversion from cubic metres of natural gas supplied to equivalent kilowatt-hours of energy

was based on a factor of 37.08MJ/m3 or 10.3kWh/m

3.69

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5.2 Refined data set methodology

Many of the methods and assumptions applied in the Meta-Analysis were also employed for the

Refined Data Set. This section discusses the aspects of the Refined Data Set methodology that

differ from the Meta-Analysis and how extreme outliers have been considered and resolved. For

each of the 40 buildings, monthly natural gas and electricity data were weather normalized using

a standard weather year as determined from the CWEC. Following this normalization, the base

component (weather independent) and the variable component (weather dependent) of the

natural gas and electricity use were identified. Using the normalized energy data, functional

relationships between the variables relating to the mechanical and the electrical system, the

building envelope, and the occupancy characteristics of the building were sought. These

variables were tested against various measures of energy consumption to determine where

correlations existed. After the correlations were examined, a multi-variable regression analysis

was completed to determine whether correlations could be improved when the interaction

between the building characteristics were considered. The methodology for this portion of the

analysis is described in Chapter 7 in combination with the results of the multi-variable regression

analysis. Finally, buildings that appeared to be anomalies from the identified trends were

examined in greater detail.

5.2.1 Normalization procedure and assumptions

The normalization procedure used for the Refined Data Set differed slightly from the procedure

used in the Meta-Analysis because of the different characteristics of the energy consumption

data. Some aspects of the procedure were also improved based on experience from the Meta-

Analysis.

The same calendarization procedure as described for the Meta-Analysis was applied for the

Refined Data Set. The month-length normalization was removed from the normalization

procedure. A sensitivity analysis revealed that month-length normalization has an undetectable

effect on the final weather normalization and was deemed unnecessary. No annual weather

normalization was required for any of the buildings since all of the energy consumption data

used in the Refined Data Set was provided on a monthly basis. The modifications applied to

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38

total consumption normalization and the weather normalization for the Refined Data Set are

described below.

Total consumption normalization

As in the Meta-Analysis, the total consumption normalization was applied to any buildings

where the sum of the monthly data was not equal to the given annual sum. In the Meta-Analysis,

this difference was distributed evenly among the months. For the Refined Data Set however, this

difference was distributed proportionally to the amount of energy consumption already provided

for a given month. This means that for months with lower energy consumption, a smaller

portion of the difference was added, while for months with higher energy consumption, a larger

portion of the difference was added. By distributing the difference proportionally, the total

consumption normalization contributes to both the base load and the variable load. In the Meta-

Analysis, the total consumption normalization only affected the base load since the same amount

of energy was being added or subtracted from every month.

Weather normalization

All of the buildings in the Refined Data set were located in Toronto, but since the energy

consumption data came from different years ranging from 1999 to 2011, the data still had to be

weather normalized. Two modifications were made to the weather normalization procedure

applied to the Refined Data Set: cooling degree days (CDDs) were taken into account in the

normalization of the electricity data, and base values other than an 18°C set point for the HDD

data were considered.

The only two weather variables considered in the weather normalization were HDDs and CDDs.

Other weather conditions such as temperature maximum and minimum values, humidity and

cloud cover may influence energy consumption; however, these weather conditions are not

commonly considered in studies involving weather normalization of building energy

consumption data.70

The weather dependency of natural gas use is only related to heating and was therefore weather

normalized using HDDs only. However, electricity consumption can be related to air

conditioning loads as well as heating loads depending on the heating energy type. As such,

electricity consumption data were weather normalized considering both HDDs and CDDs.

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39

Therefore, three weather normalization processes were completed on the electricity data. One

normalization process used HDDs only, one normalization process used CDDs only and one

normalization process used HDDs for the winter months (October to March) and CDDs for the

summer months (April to September). The normalization process that yielded the highest R2

value was the normalization process that was finally applied. The same weather normalization

process using linear regression that was used in the Meta-Analysis and is described in Section

5.1.1 was also used for the Refined Data Set.

In the Meta-Analysis, a base of 18°C was assumed for calculating the HDDs. The validity of

this assumption was tested in the weather normalization of the Refined Data Set by testing bases

of 16°C and 20°C in the normalization of the natural gas data for half of the buildings in the data

set. The natural gas data was normalized three times against the HDDs calculated from a

different base. The normalization that yielded the highest R2 value was the HDD base that was

considered the most appropriate for the building. For 90% of the buildings, the HDDs calculated

from an 18°C base produced the highest R2 values. For consistency, an 18°C base was used for

all buildings.

5.2.2 Determination of energy load types

As in the Meta-Analysis, both the y-intercept method and the low average method were used to

differentiate between the base and the variable loads; however, slightly different selection

criteria were used to determine which method was applied to each data set. The base electrical

load for buildings that were weather normalized using HDDs or CDDs only was determined

using the y-intercept method. For buildings that were normalized using a combination of HDDs

and CDDs, the average of the two lowest months of electricity consumption from every year of

data were used to determine the base electrical load. The base natural gas load was determined

using the y-intercept method for all of the buildings. Therefore, there are four components of

energy consumption data that will be referred as follows: variable natural gas, base natural gas,

variable electricity and base electricity.

5.2.3 Rejection of outliers

The natural gas and electricity consumption data were obtained from the billed energy use for

each of the buildings in the data set. Prior to weather normalization, outliers in the energy

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40

consumption data were removed. Outliers can sometimes occur when the billed energy use does

not reflect the actual energy use in the period. A common circumstance in which billed data

does not align with actual energy use is when meter readings are estimated by the utility

companies. In such cases, outliers can arise, particularly where the actual meter reading and the

billing correction is not made for a few months. Outliers can also occur when building systems

are shut down for replacement or maintenance. In some cases, occupant behaviour can be

responsible for outliers in the energy consumption data. Finally, errors in data entry can also be

a source of outliers.

Outliers were removed when energy consumption was plotted against HDDs or CDDs in the

weather normalization process. Removal was based on the following criteria:

• When an electricity consumption datum was more than 20% different from the predicted

electricity consumption as determined by the equation for the line of best fit, it was

removed.

• When a natural gas consumption datum was more than 30% different from the predicted

natural gas consumption as determined the equation for the line of best fit, it was

removed.

• A few of the buildings had energy consumption data that appeared to contain outliers for

the same two to four months of the year for every year of data. To avoid removing too

many outliers and leaving a gap in the data, each calendar month where the data showed

the lowest error was preserved and included in the weather normalization. Therefore, a

rule was developed that a monthly datum was only removed as long as all 12 calendar

months were still represented after its removal.

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Chapter 6 Meta-Analysis Results and Discussion

The results, discussion and conclusion for correlation analysis of the Meta-Analysis data set are

presented in this Chapter. A summary of the energy consumption data is presented and

compared with other studies. This is followed by the correlation analysis graphs combined with

a discussion of each graph. Finally, the conclusions from the Meta-Analysis are outlined.

6.1 Meta-Analysis energy consumption data

This section summarizes the energy consumption characteristics of the Meta-Analysis data in

terms of energy intensity, energy use per suite and base loads. A discussion of the R2 values for

weather normalization is also included.

6.1.1 Summary of energy intensity data

For buildings where natural gas and electricity data were available (HiSTAR and Tower

Renewal data), the annual energy intensity was based on the total annual energy consumed from

both electric and natural gas sources divided by the building’s gross floor area. This total energy

intensity split out by natural gas and electricity consumption is shown in Figure 9. The 42 Green

Condo Champions buildings did not include electricity data, but the annual natural gas energy

intensity data were presented for reference purposes in Figure 9.

The total energy intensity values vary widely from 88 ekWh/m2 to 520 ekWh/m

2 with an average

of 295ekWh/m2. This is in line with the combined average energy intensity for Ontario MURBs

of 305ekWh/m2, which was calculated from the consumer-side studies examined in the literature

review in Chapter 2. The average energy mix of the Meta-Analysis data set is 38% electricity

and 62% natural gas, which is similar to the Comprehensive Energy Use Database mix of 33%

electricity and 67% natural gas for Ontario apartments in 2009.71

Since the comparison is on a

relative basis, the comparison between this consumer-side study and supplier-side data is valid.

Natural gas appears to be the primary heat source in the majority of the buildings. However, a

few of the buildings use a significantly higher proportion of electricity. Presumably these

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buildings have electric space heating systems and use natural gas to heat domestic hot water, but

further investigation would be required to confirm this assumption.

Figure 9: Total annual energy intensity

The annual natural gas energy intensity is shown separately from electricity use for the 108

buildings in Figure 10. The natural gas energy intensity is in equivalent kilowatt-hours per

square metre and ranges from 26 ekWh/m2 to 447 ekWh/m

2. The yellow bars included in Figure

10 show the range of potential thermal energy intensities for each building. The thermal energy

intensity represents the useful thermal energy delivered to the building and is a function of boiler

efficiency. Boiler efficiency can vary from about 60% up to almost 100%. Therefore, a 40%

range has been applied in Figure 10. It is expected that the actual thermal energy intensity

required to meet the building’s natural gas heating demand lies somewhere within the range

represented by the yellow bar.

The buildings with the highest natural gas energy intensity values may be good candidates for

new boilers with higher efficiencies. The yellow bars show the range of energy intensity

reductions which could be achieved by installing more efficient boilers, though it is important to

note the numerous other factors affecting these systems such as operating and maintenance

items. Regardless of boiler efficiency or operation, the buildings will still demand the same

amount of heat energy, but having a more efficient boiler system means that more of the energy

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Natural Gas Electricity

HiSTAR Green Condo Champions Tower

Renewal

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delivered to the building becomes usable heat directed to occupied spaces. In other words, less

natural gas is required to produce the same amount of usable heat.

Figure 10: Annual natural gas intensity of each building

The total energy use per suite is based on the total energy provided from electric and natural gas

sources divided by the number of suites in the building (HiSTAR and Tower Renewal data only).

Figure 11 shows that the total annual energy use on a per suite basis ranges from

6,270ekWh/suite to 58,480ekWh/suite with an average of 25,100ekWh/suite. This energy use

per suite is nearly twice as high as the SHEU 2007 data, which quotes an average of

14,500ekWh/suite for low-rise apartments and 12,400ekWh/suite for high-rise apartments.72

This comparison should be taken with caution because of the limitations of comparing SHEU

data with consumer-side studies previously discussed. The NRC Toronto data set, which is a

consumer-side study, provides a much higher average energy use per suite of 35,000ekWh/suite

and a range of 23,100ekWh/suite to 47,600ekWh/suite.73

Since this study is based on data from

the 1970s, it is expected that the energy use would be higher than the Meta-Analysis data.

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Annual Natural Gas Energy Intensity

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Figure 11: Total annual energy use per suite

6.1.2 Summary of greenhouse gas emissions

The greenhouse gas (GHG) emissions due to electricity and natural gas consumption in MURBs

were calculated by applying emissions factors. The emissions factors have been expressed in

terms of kilograms of carbon dioxide equivalent (kgCO2e). The emissions factor for natural gas

is 1.879kgCO2e/m3 and the emissions factor for electricity (2010) is 0.187kgCO2e/kWh.

74

Figure 12 shows the annual GHG emissions from each building per square metre. Similar to

Figure 10, Figure 12 splits up the GHG emissions so that emissions due to electricity and natural

gas are shown separately. The buildings from the Green Condo Champions data set only show

emissions due to natural gas because no electricity data was available. The total annual GHG

emissions intensities range from 16.6kgCO2e/m2 up to 96.6kgCO2e/m

2 and the average was

55.3kgCO2e/m2. Since the GHG emissions intensities are a directly related to the energy

intensities, the GHG emissions intensities show the same wide variation within the data set.

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Figure 12: Total annual GHG emissions intensity

6.1.3 Base load determination

As explained in Chapter 5, two methods were used to determine the base load within the

electrical and natural gas energy consumption data. The first method used the y-intercept from

the weather normalization and the second method used the average of the two months with the

lowest energy consumption. Figure 13 and Figure 14 show comparisons of the base load

calculation methods for electricity and natural gas respectively.

There is good agreement between the results of the two methods used to derive the electric base

load. This could be because most of the buildings are heated with natural gas and the electricity

load remains relatively constant throughout the year. The y-intercept method was preferred

because its value is based on a greater number of data points than the low average method.

However, for buildings exhibiting an R2 value lower than 0.6, or those with fewer than six

months of energy consumption data, the low average method was preferred.

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Total Annual GHG Emissions Intensity

Electricity Emissions Natural Gas Emissions

HiSTAR Green Condo ChampionsTower

Renewal

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Figure 13: Comparison of base load calculation methods for electricity

There is more variation between the results of the two methods used for natural gas base load

derivation. This is likely because most buildings are heated with natural gas, so natural gas

consumption data show greater seasonal variation than electricity consumption data; therefore,

the annual variation makes it more difficult to strip out the base load. Once again, the y-intercept

method was generally preferred but the low average method was used for buildings exhibiting an

R2 value lower than 0.6.

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Electric Base Load Comparison

Y-Intercept Method

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Figure 14: Comparison of base load calculation methods for natural gas

6.1.4 Summary of weather normalization

Chapter 5 includes a discussion of the importance of R2 values and the typical acceptable range.

Figure 15 shows the range of R2 values achieved during the weather normalization process of the

HiSTAR building data. Only 20% were considered to have a reliable correlation between

energy use and weather for both natural gas and electricity use. However, the results of the

correlation analysis show that the buildings with poor R2 values were not typically the outliers,

so the effects of the low R2 value should not skew the correlations significantly. The Green

Condo Champions natural gas consumption data generally showed a very strong correlation in

the weather normalization and yielded an average R2 value of 0.91. The annual Tower Renewal

data did not have associated R2 values.

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Figure 15: Coefficient of determination values from weather normalization

6.2 Correlation results and discussion

Correlations between energy consumption data and building age, building height, suite size and

ownership type are presented and discussed in the following sections. Many of the graphs show

a line of best fit and an associated R2 values. This does not indicate that a significant

relationship between the two variables necessarily exists. It is only meant to illustrate whether

the correlation is weak or strong.

6.2.1 Date of construction

There is generally a negative correlation between energy intensity and building age as shown in

Figure 16. Up until the 1970s, the energy intensity of older buildings was found to be somewhat

higher than the newer buildings. The average energy intensity of buildings constructed in the

1980s and 1990s was slightly higher than those constructed in the 1970s. The higher energy

intensity of the oldest buildings in the data set could be due to the age of the mechanical systems

0

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Acceptable

Correlation

Poor

Correlation

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and condition of the building envelope; however, the increase in energy use in newer buildings

may be due to increased fenestration-to-wall ratios typically seen in more modern buildings as

curtain wall construction became more prevalent. Further analysis of the building characteristics

of each building is required to verify this hypothesis.

Figure 16: Energy intensity versus building vintage

6.2.2 Weather-dependant loads

After determining the base loads for each building, these loads were removed from the total

energy consumption to determine the total weather-dependant load, which is also called the total

variable load. Figure 17 shows the total variable energy intensity (total variable load divided by

the building floor area) plotted against the building vintage. This correlation was plotted to test

the hypothesis that the trend shown in Figure 16 of older buildings having higher energy

intensities exists because of changes in building envelope characteristics over time.

Building envelope characteristics primarily influence the variable load component of energy

consumed because the resistance to heat transfer provided by the building envelope is one of the

factors that dictate the heating and cooling requirements of a particular building. Figure 17

shows that isolating the variable energy intensity has made the trend of older buildings having a

higher energy intensity more pronounced. This supports the suggestion that building envelope

characteristics are one of the key variables driving this trend. Many other variables also

influence this relationship and must be examined further before any conclusive statements can be

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The Influence of Building Vintage on Energy Intensity

Before 1960 1961-1970 1971-1980 1981-1990 1991-2000 Average EI

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made; however, improvements such as increased air tightness and thermal resistance would

presumably go furthest to improve energy performance in buildings with high total variable load

intensities like the ones built before 1970. The interaction between specific building envelope

characteristics and variable energy intensity are tested in the correlation analysis for the Refined

Data Set in Chapter 7.

Figure 17: Weather-dependant loads versus building vintage

6.2.3 Building height

Logically, total energy use should increase with building height and overall building size as

shown in Figure 18. Although the gradient is statistically significant at a 95% confidence level

based on a t-test, the coefficient of correlation is only 0.6. The lack of an excellent correlation in

Figure 18 demonstrates that there are other factors besides building size contributing to energy

consumption. As such, Figure 19 shows no correlation between energy intensity and number of

storeys. The building vintages were highlighted in different colours in Figure 19 to determine

whether any trends existed when building age was also considered; however, no trends were

detected.

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Dependant Energy IntensityBefore 1960 1961-1970 1971-1980 1981-1990 1991-2000 Average

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Figure 18: Total energy use versus number of storeys

Figure 19: Energy intensity versus building height

6.2.4 Number and size of suites

Similar to building height, as the number of suites increase, energy use is expected to increase as

shown in Figure 20. The gradient in Figure 20 is statistically significant at a 95% confidence

level based on a t-test and the coefficient of determination is 0.59. However, the gradient in

Figure 21 is not statistically significant and the coefficient of correlation is less than 0.005.

Therefore, the reasonable correlation in Figure 20 and lack of correlation between energy

y = 300,000x + 430,000

R² = 0.60

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intensity and number of suites in Figure 21 mean there are other parameters that need to be

considered.

Figure 20: Total energy use versus number of suites

Figure 21: Energy intensity versus number of suites

Figure 22 shows a plot of the attributed suite size versus date of construction. From the oldest

buildings in the data set to the 1980’s, the average attributed suite size increases. In recent years,

the data reveal the prevalence of smaller suite sizes. This could be influenced by the size of

common area spaces or the actual suite sizes. Larger suites could house more people which

would likely result in higher energy use; however, this is not reflected in the energy intensity by

R² = 0.5933

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vintage shown in Figure 16 above. Therefore, the average number of people per suite may have

remained the same over a period of increasing attributed suite sizes but occupancy information is

required to verify this.

Figure 22: Attributed suite size versus date of construction

6.2.5 Ownership type

Figure 23 and Figure 24 show the energy use per floor area and per suite for different types of

building ownership. This was investigated because energy use is often a function of

responsibility for payment of utility bills. Generally speaking, condominium owners are more

likely to be sub-metered than renters; therefore, condo owners may use less energy because they

are directly responsible for the cost. This hypothesis is supported in Figure 23, which shows that

condos have the lowest average annual energy intensity. However, Figure 24 shows that condos

have the highest energy use per suite, which simultaneously negates the hypothesis. Evidently,

other factors besides the ownership type play a role. Household income may be one of these

factors. It is reasonable to assume that condo owners would have a higher income than renters or

those in subsidized housing. With a higher income, the condo owners are more likely to have

larger suites with more appliances and electronics that consume energy. Another explanation for

having the lowest energy intensity but the highest per suite energy consumption could be due to

the common areas. Condominiums often have larger common areas including a lobby, exercise

rooms, pools, party rooms and board rooms. Since the total building energy divided by the

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on Suite SizeBefore 1960 1961-1970 1971-1980 1981-19901991-2000 2001-2010 Average

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number of suites is being measured and not the actual energy consumption per suite, this could

be another explanation of the results.

The energy intensity of the subsidized rental on both the area and per suite basis are lower

compared to the other ownership types. This may be because in these particular buildings,

owners are typically working with very tight operating budgets and may see energy efficiency as

a means of controlling this budget. Owners of rental properties also typically have more control

over the types of lighting and appliances in the building perhaps allowing them the ability to

better control energy use. Finally, the common areas in these buildings are typically less

extensive than in a condominium, which could contribute to lower energy use on a per suite

basis.

Figure 23: Total energy intensity by area for each type of building ownership

0

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Rented, Subsidized Average

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Figure 24: Total energy intensity by suite for each type of building ownership

Suite size is also worth investigating because this affects energy intensity and occupancy.

However, without occupancy data, it is not possible to analyze this particular correlation further.

Figure 25: Suite size versus building ownership type

6.2.6 Statistical Significance

Figure 16, Figure 17 and Figure 22 to Figure 25 were all graphs that showed trends based on

categories with bars representing the average for each group. The difference between the

averages from one category to another was not statistically significant for any of the graphs. The

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significance test was based on a two-tailed t-test at a 95% confidence level. Even though the

results are not statistically significant, they can still be used as a basis for observations; however

further testing and study is required before these results should be used as a basis for decision

making.

6.3 Preliminary conclusions

Generally the data analysis did not yield the strong correlations that were anticipated at the outset

of the Meta-Analysis. However, considering the limitations of the data, there are some

interesting observations and conclusions that can be drawn. The findings of the Meta-Analysis

also guided the focus of the investigations carried out on the Refined Data Set:

1. The Meta-Analysis of MURB energy consumption data represents a reasonable sample

size. Energy consumption data for approximately 1.8% of the total MURB stock and

4.8% of the mid and high-rise MURB stock in the City of Toronto were analyzed in the

Meta-Analysis across all vintages of buildings.

2. The energy intensity values determined from actual natural gas and electricity metering

were similar to other published consumer-side studies of Ontario MURBs. An average

intensity of 295ekWh/m2 was found, which is similar to the average energy intensity of

305ekWh/m2 from the consumer-side studies reviewed in Chapter 2.

3. There was a wide range in the observed energy intensities with the lowest energy

intensity less than one fifth of the highest one. Even within each vintage category, there

was significant variation in energy intensity. The range in energy intensity may reflect a

variety of factors including differences in the way the buildings are operated, differences

in the efficiency of the buildings’ major mechanical and electrical systems, and

differences in construction type.

4. Since no reliable data on the efficiencies of the natural gas burning appliances were

available for the Meta-Analysis, thermal energy intensities could only be bracketed

assuming that hypothesized efficiencies could be as low as 60% but no more than 100%.

Efficiencies as well as the operating and maintenance condition of the boilers should be

included in further investigation in the Refined Data Set so that conclusions can be drawn

about whether envelope retrofits, mechanical retrofits or both would be the best energy

reduction strategy.

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5. An examination of the relationship between energy intensity and year of construction as

shown in Figure 17 reveals that variable energy intensity generally decreased until the

1970s. After the 1970s, intensities began to rise. This latter rise may be due to the

combined effects of better thermal insulation and air tightness measures being off-set by

higher fenestration-to-wall ratios. This hypothesis may explain the apparent paradox of

the declining energy-efficiency of the more modern MURBs in the data set.

6. In a preliminary way, the Meta-Analysis also explored the relationship between

ownership type and energy intensity. Although condominiums had the lowest average

energy intensity on a gross floor area basis, they had the highest energy intensity on a per

suite basis. This is counter to intuition unless the effect of household income and energy

used in common areas are considered in the explanation. Further study is necessary so

that the underlying reasons can be more clearly identified and effective measures taken to

reduce energy consumption in all MURBs.

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Chapter 7 Refined Data Set Results

This chapter presents a selection of correlations between the weather-normalized energy

consumption data and a number of building characteristics. In the sections that follow, an

overview of building energy intensity has been presented, followed by a discussion of the

variables that influence energy use. To improve correlations examined in the Meta-Analysis,

buildings were grouped in general energy-use categories as discussed in Section 7.3. Next the

correlations revealed during analysis of the Refined Data Set have been presented. Finally, the

results of a multi-variable regression analysis are provided.

7.1 Energy intensity

Within the Refined Data Set, which is focused on only mid and high-rise MURBs, the total

annual energy consumption ranged from 1,125 MWh to 12,190 MWh. In order to facilitate

comparisons between buildings, it is helpful to normalize the data based on building size.

Figure 26 and Figure 27 show the annual energy consumption on a per gross floor area (energy

intensity) and on a per suite basis. As discussed in Chapter 5, the gross floor area is considered

to be the total conditioned floor area in a building, but typically does not include underground

parking, even if the parking area is conditioned.

Figure 26: Natural gas and electricity components of total annual energy per gross floor area

0

100

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600

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39

En

erg

y I

nte

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/m2)

Building Number

Total Annual Energy Intensity

Variable Natural Gas Base Natural Gas Variable Electrical Base Electrical

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59

Figure 27: Natural gas and electricity components of total annual energy use per suite

Figure 26 and Figure 27 show that even after being normalized for building size, there is still a

great deal of variation. The relative standard error is a statistical measure that indicates

dispersion of data. It is a normalized measure of standard deviation calculated by the dividing

standard deviation by the sample mean. The relative standard error in the sample of values for

total annual energy consumption is reduced from 62% to 50% when normalized by number of

suites and reduced to 31% when normalized by gross floor area. Therefore, the industry practice

of normalizing by floor area is supported by this statistic.

The average energy intensity for the data set is 290ekWh/m2, which is statistically the same as

the average intensity of the Meta-Analysis data set at 295ekWh/m2. This energy intensity value

is close to the average energy intensity of the consumer-side studies of Ontario MURBs of

305ekWh/m2, which were examined in the literature reivew. The average energy mix of the

data set is 33% electricity and 67% natural gas which is the same as CEUD mix for Ontario

apartments in 2009.75

In Figure 27, the attributed suite size has been plotted above the energy use per suite for

comparison. As in the Meta-Analysis, attributed suite size was calculated by dividing the gross

floor area by the total number of suites in the building, and is therefore an overestimate.

Generally, larger suite size can be used to explain higher per suite energy use. In most cases, the

-100

0

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1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39

Att

rib

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ize

(m

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En

erg

y P

er

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ite

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00

s o

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uit

e)

Building Number

Total Annual Energy Use Per Suite

Variable Natural Gas Base Natural Gas Variable Electrical

Base Electrical Suite Size

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60

reason a building has larger attributed suite sizes is because the building has significant common

facilities whose floor area has been attributed to each suite.

7.2 Selection of variables

As normalization by building size does not fully explain the variation in energy use, the purpose

of this section is to determine what other variables have a correlation with the energy

consumption data and can rationalize components of the variation. There is a diverse range of

variables that could contribute to the energy consumption within a building. Variables related to

occupant behaviour, mechanical and electrical systems, control systems, building envelope, site

environment, building management or demographics could all be involved. The variables

examined in the Refined Data Set have been limited to physically measureable or observable

variables that were available in the building energy audit reports. Additionally, findings from the

Meta-Analysis were used to guide predictions on the variables that would be expected to have

the greatest effect on the variation in energy consumption. Figure 28 provides a summary of

possible variables and an indication of the data availability. Thermal glazing characteristics, the

efficiency of the space heating system and the number of occupants are the three variables with

the highest level of expected importance. In this figure, the expected importance of the variables

has been based on the initial belief that variables which affect heat loss and heat generation in

buildings should be well correlated with energy consumption.

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Figure 28: Variables categorized by ease of measurement and predicted importance

7.2.1 Variables related to heating loads

The heating energy requirements for a building are a function of:

(a) the heat loss through the building envelope;

(b) the efficiency of heat generation.

Based on equations for conduction heat loss and air leakage provided in Appendix E, glazing

type and glazing area are the variables expected to govern heat loss. The overall conductance of

a window is denoted by its U-value, while the air tightness of a window is generally determined

by whether the window is fixed or operable; by the type of operable window (sliding, awning or

casement); and by the condition of the window.

In the case of natural gas heated buildings, the variable that is expected to affect heat generation

is the boiler plant efficiency. Although estimates of boiler efficiency and age were available in

this data set, there are many other factors such as operation and maintenance that contribute

significantly to the overall plant efficiency which have not been captured.

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62

Figure 29 summarizes the main contributing factors to heat loss and generation for which data

were available.

Figure 29: Variable dominating building heating requirements

7.2.2 Variables related to cooling loads

Similar to heating, cooling loads are affected primarily by heat gain through the building

envelope and the efficiency of the cooling system. In addition to being influenced by conduction

and air leakage through the glazing, solar heat gains due to radiation through the glazing are also

expected to have a significant effect. Based on the equation for radiation heat transfer found in

Appendix E, the two variables with the greatest effect are the glazing area and the solar heat gain

coefficient (SHGC) of the glass. With a higher SHGC, more radiation can penetrate the building

and heat it up, resulting in a higher cooling load.

7.2.3 Variables related to base loads

Base loads are generally expected to be a function of the number of occupants, the gross floor

area and equipment efficiencies. Domestic hot water use and plug loads are most closely related

to the number of occupants because the activity of each occupant defines the magnitude of these

loads. Lighting, fan, and pump loads are most closely related to the gross floor area because the

size of the interior space defines the magnitude of loads. Since heating and cooling equipment

efficiencies are often difficult to obtain, building age many be used as a proxy so long as the

building has not undergone any significant renovations. Base loads, however, cannot be readily

separated into these categories based only on monthly energy consumption data. Therefore, the

following relationships were expected:

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����������� ������ = ������������������ (eqn. 1)

������������������������ = ������� � �, ���������������� (eqn. 2)

7.3 Separation of building types

The majority of the buildings in the Refined Data Set use natural gas boilers as their primary

heating system; however, some of the buildings are heated primarily with electricity or with a

split between electricity and natural gas. To ensure that like-to-like comparisons were made,

buildings within the data set have been grouped by the type of heating system before variable

natural gas energy and variable electricity were correlated with other variables.

Figure 30 shows a plot of annual variable natural gas intensity versus annual variable electricity

intensity. Buildings with more than 100ekWh/m2 of variable natural gas intensity and less than

30kWh/m2 of variable electricity intensity, which occupy the upper left quadrant in Figure 30,

were considered to have natural gas boilers as their primary heating system. The delineations of

100ekWh/m2 and 30kWh/m

2 were chosen after the graph was plotted based on the cluster of

buildings that appeared to be heated with natural gas boilers. The three buildings in the lower

right quadrant are buildings that are most likely heated with electricity. Finally, the eight

buildings in the lower left quadrant have both low variable natural gas intensity and variable

electricity intensity. This low intensity led to the preliminary conclusion that the lowest four

buildings were anomalous. Therefore, these buildings are examined further in Chapter 8 of this

thesis. The other four buildings in the lower left quadrant were confirmed as being heated with

a combination of natural gas and electricity based on information from their building energy

audit report.

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Figure 30: Method used to separate buildings by primary heating systems

Buildings with air-conditioning were separated based on having an electrical normalization that

related to CDDs with an R2 value of at least 0.5. Table 9 summarizes the number of buildings

assigned to each category.

Table 9: Summary of building space conditioning categories

Building space conditioning category # of buildings assigned

to category

Primarily natural gas heating 29

Primarily electrical heating 3

Combined natural gas and electrical heating 4

Air conditioned buildings 11

Buildings with undetermined heating systems 4

7.4 Correlation analysis

The correlations presented in this section were chosen for analysis based on the logic outlined in

the selection of variables section of this chapter (see Section 7.2) and the findings of the Meta-

Analysis. The building characteristics involved in these correlations include the fenestration-to-

wall ratio, window conductance, boiler efficiency, cooling capacity of air conditioners and the

number of occupants.

0

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0 20 40 60 80 100 120

An

nu

al

Va

ria

ble

Na

tura

l G

as

Inte

nsi

ty

(ek

Wh

/m2)

Annual Variable Electricity Intensity (ekWh/m2)

Determination of Primary Heating Fuel Source

Natural Gas

Heating

Electrical Heating

Undetermined/

Combination

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7.4.1 Window characteristics

The first variables examined in the correlation analysis of the Refined Data Set were related to

the window characteristics. As explained in Section 7.2, window area, air tightness, thermal

conductance, and SHGC of windows are expected to influence both heating and cooling loads.

Some of the plots include buildings which have been identified as outliers. These anomalies will

be examined in Chapter 8. The line of best fit plot applies only to data points that are not

considered outliers.

7.4.1.1 Fenestration-to-wall ratio

The fenestration-to-wall ratio (fenestration ratio) is the area of the building’s exterior walls

covered in glazing divided by the total wall surface area. Although the fenestration ratio for each

building was stated in many of the audit reports, it was often based on an estimate. Estimates of

the fenestration ratio were checked and modified as necessary by comparing the stated

fenestration ratio with building photographs. By comparing photographs of the various

buildings, fenestration ratios were corrected so that buildings with similar glazing configurations

had similar fenestration ratios.

Since much of the building information obtained for this study was provided on the condition

that the building identity remains confidential, full building photographs could not be provided in

this report. However, close-up photos which maintain the anonymity of the buildings have been

provided in Appendix F. In addition to the photographs, the originally estimated fenestration

ratios as well as the revised estimate of the fenestration ratios have been provided for each

building. Figure 31, Figure 32, and Figure 33 are all based on the revised estimate of

fenestration ratios.

Since the majority of heat loss and solar heat gain through the building envelope is often through

the glazing, it is expected that the larger the fenestration ratio, the higher the heating and cooling

loads will be. This relationship was shown to be stronger in buildings with double-glazed

windows and natural gas heating (Figure 31), than for buildings with single-glazed windows and

natural gas heating (Figure 32).

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Figure 31: Variable natural gas intensity versus fenestration ratio for double-glazed windows

Figure 32: Variable natural gas intensity versus fenestration ratio for single-glazed windows

One of the reasons that the R2 value for Figure 32 is lower than the R

2 value in Figure 31 is that

the buildings with single-glazed windows are generally older and the glazing is in worse

condition. Thus, the air tightness of the glazing assemblies may be the factor that governs heat

loss for these buildings, not just the fenestration ratio. Since no information was available on the

air tightness of the glazing assemblies for the buildings in the data set, it might be helpful to field

examine the windows in question. In such a field review, the type of window and the proportion

y = 150x + 84

R² = 0.69

0

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0% 20% 40% 60% 80%

Va

ria

ble

Na

tura

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as

Inte

nsi

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(ek

Wh

/m2)

Fenestration Ratio

The Influence of Fenestration Ratio on

Variable Natural Gas Intensity - Double Glazed

Outliers

y = 250x + 120

R² = 0.41

0

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0% 20% 40% 60% 80%

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Fenestration Ratio

The Influence of Fenestration Ratio on

Variable Natural Gas Intensity - Single Glazed

Outliers

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of operable to fixed windows should be determined since operable windows greatly affect the air

leakage of buildings and ultimately energy losses. Recording window age and any resealing that

may have occurred would also be helpful in any future data collection efforts to determine an

estimated air leakage contribution.

Cooling loads are also affected by the fenestration ratio because of potential for solar gains

through glazing in addition to conductive and convective heat gains from the outdoors. Figure

33 shows that a higher fenestration ratio leads to greater air conditioning loads as expected. Of

the 11 buildings identified as having air conditioning, nine had double-glazed windows and were

included in Figure 33. For most of the buildings, no information on the SHGC of the windows

was available and could not be considered. However, the correlation between electrical intensity

and fenestration ratio is reasonably strong, so the effect of the SHGC may not be as important as

the fenestration ratio.

Figure 33: Electricity intensity versus fenestration ratio for air conditioned buildings

Figure 31 and Figure 33 both have statistically significant gradients at a 95% confidence level,

however Figure 32 does not. At an 80% confidence level, the gradient in Figure 32 is

statistically significant.

7.4.1.2 Window conductance

The glazing assemblies of each building have been assigned an overall thermal conductance

value (U-value) that was either provided in the audit report or is based on a physical description

y = 57x + 58

R² = 0.58

0

20

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120

140

0% 20% 40% 60% 80%

To

tal

Ele

ctri

cal

Inte

nsi

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Wh

/m2)

Fenestration Ratio

The Influence of Fenestration Ratio on

Total Electrical Intensity in Air Conditioned

Buildings - Double Glazed

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68

of the windows. Higher U-values mean more heat transfer and thus heating and cooling loads

will presumably be higher. Both Figure 34 and Figure 35 show the expected correlation. In

Figure 34, the trend is weak, so the average variable natural gas intensity of the data for each of

the three U-values has been plotted to show the trend instead of a line of best fit. At a 95%

confidence level the difference in average values for the groups were not statistically significant.

However, the gradient in Figure 35 was statistically significant at a 95% confidence level.

The considerable variation in the data shows that glazing U-value contributes to heat loss in a

building, but is not the only governing factor. The stronger correlation shown with fenestration

ratio suggests that glazing area has a more significant effect on heating intensity than window

thermal conductance does.

Figure 34: Variable natural gas intensity versus glazing U-value

0

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0 1 2 3 4 5 6Va

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ble

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Window U-Value (W/m2K)

The Influence of Window U-Value on

Variable Natural Gas IntensityAverage Outliers

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Figure 35: Electrical intensity versus glazing U-value for air conditioned buildings

7.4.2 Heating efficiency and cooling equipment

The second factor affecting building heating loads is the efficiency of the heating system. It is

expected that the more efficient the heating system is, the lower the variable natural gas intensity

will be. Although the R2 value is low, Figure 36 does show the expected relationship.

Additionally, the gradient is statistically insignificant, even when the confidence level is

decreased to 80%.

Figure 36: Variable natural gas intensity versus boiler efficiency

y = 14x + 54

R² = 0.46

0

20

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100

120

140

160

0 1 2 3 4 5 6

To

tal

Ele

ctri

city

In

ten

sity

(e

kW

h/m

2)

Glazing U-Value (W/m2K)

The Influence of Glazing U-Value on

Electricity Intensity in Air Conditioned Buildings

y = -210x + 320

R² = 0.12

0

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60% 65% 70% 75% 80% 85% 90% 95%

Va

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(ek

Wh

/m2)

Boiler Efficiency

The Influence of Boiler Efficiency on

Variable Natural Gas Intensity

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The relationship between variable natural gas intensity and boiler efficiency as shown in Figure

36 is not as strong as expected because the boiler efficiencies provided in the audit reports may

not reflect the actual efficiency of the heating system. Therefore, while the approximate

relationship is correct, it could be stronger if it were based on more accurate data. The provided

efficiencies are either rated or estimated efficiencies. The rated efficiency is the efficiency of the

boiler when it was new, but this efficiency declines as the boiler ages. The rate of decline

depends on maintenance practices, the boiler use patterns, the type of boiler, and the boiler and

pipe configuration. The only way to determine the actual efficiency of a boiler in service is to

run a diagnostic test of natural gas input versus heat output. This was not part of the energy audit

for any of the buildings in this data set.

As a proxy for actual boiler efficiency, the boiler age was estimated based on information

provided about building renovations and boiler replacements in the audit reports. Figure 37 also

shows the expected relationship that the variable natural gas intensity increases as the boiler age

increases. While the R2 value was lower, the gradient was shown to be statically significant at an

80% confidence level. Although the correlation was not as strong as desired, its statistical

significance is an indication that boiler age contributes to boiler efficiency and influences

variable natural gas intensity.

Figure 37: Variable natural gas intensity versus boiler age

y = 1.0x + 150

R² = 0.065

0

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0 10 20 30 40 50Va

ria

ble

Na

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Inte

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/m2)

Boiler Age (years)

The Influence of Boiler Age on

Variable Natural Gas Intensity

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The cooling system information that was most readily available from the energy audit reports

was the cooling capacity. Not surprisingly, electricity intensity shows a strong correlation with

cooling capacity for the 11 buildings with air conditioning as seen in Figure 38. The gradient

was found to be statistically significant at a 95% confidence level.

Figure 38: Electrical intensity versus cooling capacity

Figure 38 indicates that the buildings that use air conditioning were appropriately identified in

the building selection process outlined in Section 7.3 and that the cooling capacities provided in

the audit reports are reasonably consistent.

7.4.3 Number of occupants

While the number of bedrooms in each suite was sometimes specified, and the number of suites

in the building was always specified, an estimate of the number of occupants in each building

was found in only two of the 40 audit reports. Since the number of occupants is the most

important variable relating to the base natural gas loads, the number of occupants was estimated

from census data. The average number of people per household (for all dwelling types) for each

building’s census neighbourhood was obtained. If the building had suites that included three

bedrooms or more, 0.5 people per household were added on to the census average. If the

building was a seniors’ home, 0.5 people per household were subtracted from the census

average. The number of people per household was then multiplied by the number of suites in the

building to estimate of the total number of occupants.

y = 0.10x + 71

R² = 0.84

0

20

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60

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100

120

140

160

0 100 200 300 400 500 600

To

tal

Ele

ctri

city

In

ten

sity

(e

kW

h/m

2)

Cooling Capacity (tonne of cooling)

The Influence of Cooling Capacity on

Total Electricity Intensity

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Figure 39 shows a strong correlation between the base natural gas consumption and the estimated

number of occupants. Additionally, the gradient was found to be statistically significant at a 95%

confidence level. This figure supports the conclusion that domestic hot water energy is a

function of the number of occupants.

Figure 39: Base annual natural gas consumption versus estimated number of occupants

7.4.4 Base electricity intensity

There are many components that contribute to base electricity consumption and these

components vary widely from one building to another and cannot be reflected in one variable.

The hypothesis stated in Section 7.3 that base electricity intensity could be related to building

age is addressed in Figure 40. The R2 value in this correlation is very low, however; the gradient

is statically significant when tested at a 90% confidence level. Therefore, building vintage may

be an appropriate proxy, but it is not an accurate one. It is interesting to note the upward trend

indicating that new buildings tend to have a slightly higher base electrical intensity than older

buildings.

y = 2600x - 200,000

R² = 0.79

0

500,000

1,000,000

1,500,000

2,000,000

2,500,000

3,000,000

3,500,000

0 200 400 600 800 1000Ba

se N

atu

ral

Ga

s C

on

sum

pti

on

(e

kW

h)

Estimated Number of Occupants

The Influence of Estimated Number of Occupants

on Base Natural Gas consumption

Outliers

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Figure 40: Base electricity intensity versus building vintage

The correlations that were examined in the Meta-Analysis have been reproduced for the Refined

Data Set. These graphs are provided in Appendix G since the correlations did not lead to any

new conclusions.

7.5 Multi-variable regression analysis

The correlation analysis showed that there are minor correlations between variable natural gas

intensity and glazing properties as well as boiler efficiency. The purpose of the multi-variable

regression analysis was to determine whether these correlations can be improved when more

than one explanatory variable is considered at a time.

7.5.1 Methodology

The multi-variable regression analysis was completed in Microsoft Excel using the regression

function from the Analysis ToolPak Add-In. A stepwise forward-selection approach to

maximize the adjusted R2

value was used for each regression analysis. An additional approach,

based on the logic of which variables should govern each energy consumption component, was

used to select the order in which variables were added for some of the regression analyses.

The adjusted R2 value derived from the multi-variable regression analyses is the same as the R

2

value in the single variable regression analysis except that a correction has been made to account

for the number of variables involved. As variables are added, more of the variation in the data

y = 0.64x - 1,200

R² = 0.073

0

20

40

60

80

100

120

140

160

180

1950 1960 1970 1980 1990 2000 2010Ba

se E

lect

rica

l In

ten

sity

(k

Wh

/m2)

Year of Consturction

The Influence of Building Vintage on Base

Electricity Intensity

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should automatically be explained; therefore, to account for the advantage of having additional

variables, a reduction factor is applied to the R2 value. This means that the adjusted R

2 value is

equal to the R2 value in a single-variable regression, but is less than the R

2 value when more than

one variable is involved.

Each stepwise forward-selection approach to multi-variable regression analysis results in a linear

equation relating the selected variables to coefficients as follows:

y=c1xmax1+c2xmax2+c3xmax3+… cnxmaxn (eqn. 3)

where:

y = The component of energy use or energy intensity being examined

c = The coefficient resulting from the multi-variable regression analysis

x = The variable selected to maximize the R2 value

The multi-variable regression analysis involves the following steps:

1. All of the variables to be considered in the analysis are chosen. These variables are

called x1,x2, x3,…,xn and each analysis includes n variables. The variable “y” is the

component of energy consumption for which the regression is being completed.

2. A single-variable linear regression of y versus xi is completed for all n variables. The

variable that yields the highest adjusted R2 value for in the single-variable linear

regression is designated xmax1.

3. A double-variable linear regression of y versus xmax1 and all remaining xi is completed for

all n-1 variables. The variable that yields the highest adjusted R2 value in the double

variable linear regression is designated xmax2. If the new maximum adjusted R2 value is

smaller than the maximum R2

value in the previous step, then the regression is complete

and xmax1 is the only variable involved in the final regression results. If the new

maximum adjusted R2 value is larger than the maximum R

2 value in the previous step,

then a triple variable regression must be completed.

4. Variables continue to be added one at a time until the R2 value is maximized.

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5. The final result is a linear equation relating the selected variables (xmax1, xmax2,…,etc.) to

y using coefficients.

7.5.2 Summary of all analyses

The variables considered in the multi-variable regression analysis were selected based on two

factors: whether data is available for most of the buildings in the Refined Data Set; and whether

the variable was expected to affect energy consumption. It should be noted that the outliers

identified in the single variable analysis provided above were not removed for the multi-variable

analysis. Table 10 provides a summary of all of the regression analyses undertaken, the

variables that were selected and the final adjusted R2 value. More detailed results of each of the

regression analyses are available in Appendix H.

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Table 10: Summary of forward-selection and logical regression analyses undertaken

Component of

energy

consumption

Stepwise forward-selection Logical approach

Variables selected Adjusted

R2 value

Variables selected Adjusted

R2 value

Ann

ua

l en

erg

y c

onsum

ptio

n

Total annual

energy

consumption

Boiler efficiency

MAU ventilation capacity

Gross floor area

Balconies and floor slabs

0.85

Annual

variable

natural gas

consumption

Wall R-value

Gross floor area

MAU ventilation capacity

0.81

Annual base

natural gas

consumption

DHW boiler efficiency

Gross Floor Area

0.17

Annual

variable

electricity

consumption

No variables selected All R2

values

were less

than 0.1

Annual base

electricity

consumption

MAU ventilation capacity

Gross floor area

Cooling capacity

0.67

Ann

ua

l E

nerg

y In

tensity Total annual

energy

intensity

Fenestration ratio

MAU ventilation capacity

Number of suites

Year built

Wall R-value

Number of Floors

0.57 Glazing U-value 0.10

Annual

variable

natural gas

intensity

Glazing U-value

Boiler capacity

Number of suites

0.19 Glazing U-value

Boiler capacity

0.18

7.5.3 Discussion of selected results

Overall, the highest adjusted R2 value was achieved for the analysis on total annual energy use.

Once the energy use component was normalized by gross floor area to variable natural gas

intensity, the adjusted R2 value was greatly reduced. These are the same results as found in the

correlation analysis: obvious correlations were possible with total annual energy use; however,

the variation became more difficult to explain once energy was normalized to gross floor area.

Even when many variables were considered at once, the relationships between these variables

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and variable natural gas intensity were not consistent across all buildings. This is likely because

of the insufficient quality of the data and the inherent variability of energy use in buildings.

The variables that should govern each component of energy use were identified and explained in

Section 4.3. The findings of the multi-variable regression analysis indicate that although these

variables may govern, they do not govern in equal proportions for all buildings. One building’s

energy use may be influenced far more by air leakage, while another may be more significantly

affected by an inefficient boiler.

The two results discussed below were chosen to compare the systematic forward-selection

method with the logical method examining the variable natural gas intensity, since is the

foremost component of energy use discussed in this study.

7.5.3.1 Variable natural gas intensity: systematic forward-selection

The variables considered include: the number of floors, the number of suites, the building

vintage, heating boiler capacity, heating boiler efficiency, make-up air unit (MAU) ventilation

capacity, the presence of balconies and through-wall floor slabs, wall R-value, glazing U-value,

fenestration ratio, boiler age. Although not all of these variables were expected to govern

variable natural gas intensity, any variable that was thought to have a possible affect was

included.

Table 11 shows a summary of the results from the analysis. As expected, the variable natural gas

intensity is related to heat loss in the building through the glazing U-value and is related to heat

generation in the building through the boiler capacity. Additionally, the number of suites was

negatively correlated the variable natural gas use.

The relative weighting was calculated as follows:

"#$%&'$#&()$*+#&%,&-($×/*$++,0,$12

∑�"#$%&'$#&()$*+#&%,&-($×/*$++,0,$12 +*%&((#&%,&-($4 (eqn. 4)

Table 11: Variables in order of selection for variable natural gas intensity systematic forward-selection

Order selected Variable Coefficients Relative

weighting

Adjusted R2 at time

variable was added

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Intercept 126

1 Glazing U-value 68.5 51% 0.099

2 Boiler capacity 1.61 18% 0.181

3 # of suites -0.16 31% 0.193

7.5.3.2 Variable natural gas intensity: logical method

Based on a logical approach, the variables considered in the systematic forward-selection were

reduced to only include: glazing U-value, fenestration ratio, boiler efficiency, boiler capacity,

and boiler age.

Table 12: Variables in order of selection for variable natural gas intensity logical method

Order selected Variable Coefficients Relative

weighting

Adjusted R2 at time

variable was added

Intercept 102

1 Glazing U 67.5 81% 0.099

2 Boiler capacity 1.09 19% 0.181

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Chapter 8 Discussion

Within the correlations analysis of the Refined Data Set, a number of buildings were identified as

“anomalies” either because they were outliers in the correlations charts or because they had

abnormally high or low components of energy use. In the sections that follow, the buildings

identified as anomalies based on total energy intensity will be discussed first, followed by the

outliers in variable natural gas intensity and then in base natural gas intensity. Finally, buildings

with different heating systems are highlighted as well as buildings with extra facilities. The

buildings will be referred to by their energy intensity ranking number as shown in Figure 26,

where Building 1 has the lowest energy intensity and Building 40 has the highest energy

intensity.

Figure 26 (reproduced from page 58): Gas and electricity components of total annual energy per gross floor area

8.1 Energy intensity

The nine buildings with the lowest energy intensity were all derived from the HiSTAR database,

which was also used in the Meta-Analysis. The energy intensity values for these nine buildings

range from 90ekWh/m2 up to 210 ekWh/m

2. Although these energy intensities are physically

possible in high performance, low energy buildings, the building envelope and mechanical

characteristics of these buildings would suggest that these are not particularly high performance

0

100

200

300

400

500

600

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39

En

erg

y I

nte

nsi

ty (

ek

Wh

/m2)

Building Number

Total Annual Energy Intensity

Variable Natural Gas Base Natural Gas Variable Electrical Base Electrical

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buildings. Therefore, Buildings 1 through 9 were automatically accepted as outliers if they were

significantly below the expected energy use in a correlation

The building with the lowest energy intensity, Building 1, is a six storey building built in the

1980s, and has an award-winning green roof. Although the green roof can account for very

minor reductions in heat loss, other factors that were not specified in the energy audit are likely

to be responsible for the low energy intensity. The presence of a green roof may be an indicator

that other aspects of the building have been managed in an energy-conscious manner that could

contribute to the low energy intensity.

The two buildings with the highest energy intensities, Building 39 and 40, were identified prior

to this study as being energy inefficient. Both buildings have significant upgrades planned.

Therefore, these buildings are both anomalies since their energy intensity is significantly higher

than the average; however, this is likely not due to an error in the data. Building 39 and 40 were

also automatically accepted as outliers if they were significantly above the expected energy use

in a correlation.

Overall, there was not a particular factor that could account for the presence of a large group of

anomalies. The anomalies did not arise because a variable was neglected or was not available

for the correlation analysis. The anomalies are generally a result of a special circumstance that

applies to one or two buildings in the data set

8.2 Variable natural gas intensity

Buildings involved in variable natural gas intensity correlations that were designated as outliers

were identified in Figure 31 and Figure 32, which show the correlation between variable natural

gas intensity and the fenestration ratio for double glazed and single glazed windows. These

figures have been reproduced below for convenience.

In Figure 31, there were four outliers in the data. The two outliers above the line of best fit were

Buildings 34 and 35. As both of these were constructed in the 1960s, they are more likely to

have single-glazed windows rather than double-glazed windows. Upon examination of

photographs of the buildings, it was not evident that any window replacement has taken place;

therefore, these two buildings may have been incorrectly assigned to the double glazed category.

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Buildings 6 and 7 were both below the best fit line, but they have already been identified as

anomalous based on their total energy intensity.

Figure 31 (reproduced from page 66): Variable natural gas intensity versus fenestration ratio for double glazed windows

In Figure 32, a cluster of five buildings with lower than expected variable natural gas intensities

were considered outliers. Three of these buildings were Buildings 5, 8, and 9 and were rejected

due to their low total energy intensity, as discussed previously. The other two buildings were

Buildings 18 and 20. Building 18 had lower variable natural gas energy intensity because it is

one of the few buildings with a high efficiency boiler and a new make-up air unit system.

Building 20 is a subsidized housing project. It does not have a particularly efficient heating

system. However the audit report does acknowledge that there is a very high occupancy density

with six to eight people living in a two bedroom apartment; therefore, internal gains may account

for the relatively low variable natural gas use relative to the fenestration ratio. The hypothesis

that Building 20 has a very high occupancy density is consistent with its higher than average

base natural gas consumption, both on an area basis and on a per suite basis.

y = 150x + 84

R² = 0.69

0

50

100

150

200

250

300

350

0% 20% 40% 60% 80%

Va

ria

ble

Na

tura

l G

as

Inte

nsi

ty

(ek

Wh

/m2)

Fenestration Ratio

The Influence of Fenestration Ratio on

Variable Natural Gas Intensity - Double Glazed

Outliers

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Figure 32 (reproduced from page 66): Variable natural gas intensity versus fenestration ratio for single glazed windows

Figure 34 (see page 68) will not be re-introduced in this section because the anomalies in Figure

34 are the same buildings as those identified and discussed for Figure 31 and Figure 32.

8.3 Base natural gas intensity

In Figure 39, Buildings 2, 4, and 6 are identified as being below the line of best fit and Buildings

27 and 40 are above the line of best fit. Buildings 2, 4, 6 and 40 were already discussed as being

anomalies because of their high or low energy intensities. Building 27 includes an indoor pool

as well as two laundry rooms with gas-fired dryers, which could explain the higher outlying

natural gas base loads.

y = 250x + 120

R² = 0.41

0

50

100

150

200

250

300

350

0% 20% 40% 60% 80%

Va

ria

ble

Na

tura

l G

as

Inte

nsi

ty

(ek

Wh

/m2)

Fenestration Ratio

The Influence of Fenestration Ratio on

Variable Natural Gas Intensity - Single Glazed

Outliers

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Figure 39 (reproduced from page 72): Base annual natural gas consumption versus estimated number of occupants

The MURBs designated as seniors’ homes tend to exhibit lower base natural gas use and most of

the MURBs designated as subsidized rental housing were above the line of best fit as above in

Figure 39. The reason for this trend is probably because the estimate of the number of occupants

in the building was not accurate. The number of occupants in each apartment is probably higher

than the census average in subsidized housing and below the census average in senior housing.

An attempt to account for the lower occupancy in seniors’ housing was made by subtracting 0.5

from the average number of people per household leaving about 1.8 people per household for

most neighborhoods where the seniors’ housing was located. In actual fact, the average number

of people per household is probably just above 1. No adjustment to the census average was

made for MURBs providing subsidized housing to account for their higher than average

occupant density.

8.4 Alternative heating systems

Buildings 10 and 11 had below average energy intensity and buildings 37 and 38 had above

average energy intensities. This may have been because these buildings had a unique aspect to

their heating system compared with the other buildings in the data set.

Building 10 has a radiant heating system consisting of electrical resistance coils in the floor

slabs. The radiant heating system is more efficient than other systems because radiant heating

y = 2600x - 200,000

R² = 0.79

0

500,000

1,000,000

1,500,000

2,000,000

2,500,000

3,000,000

3,500,000

0 200 400 600 800 1000Ba

se N

atu

ral

Ga

s C

on

sum

pti

on

(e

kW

h)

Estimated Number of Occupants

The Influence of Estimated Number of Occupants

on Base Natural Gas consumption

Outliers

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systems can heat the room to a lower temperature while still allowing the occupants feel

comfortable. This is because heat delivered through radiation feels warmer than heat delivered

through convection. The building has also had new windows installed, which is an additional

factor that accounts for the building’s relatively low energy intensity since the new widows

reduce the conductive heat losses and losses through air leakage .

Building 11 does not have heating provided by a central boiler. Instead, each suite has a separate

boiler that provides domestic hot water and heating. This type of configuration can lead to

reduced energy use for a few reasons. First, less heat is wasted as it is being distributed from the

boiler around the building. Second, it is likely that occupants are billed individually for their hot

water and heating so they are more conscious of wasting hot water and have a stronger

motivation to set the thermostat to a lower temperature. Finally, the smaller individual boilers

may manage demand more efficiently than central boiler that has to keep large quantities of

water heated even if they are not being used.

In Buildings 37 and 38, the domestic hot water is generated by the heating boilers. Generally,

this configuration should be more efficient. However, in the case of Buildings 37 and 38, there

are two large heating boilers in each building which both have a much greater capacity than a

domestic hot water boiler would. Even with just one boiler running, the heating output could be

much greater than required and therefore, the heating system may be operating inefficiently and

using extra energy.

8.5 Additional facilities

Building 38 has the highest per suite energy use as shown in Figure 27(see page 59). This is

likely because the building contains a child care centre that is not billed separately. The

attributed suite size appears to be abnormally large because a significant portion of the building

is taken up by the child care centre. In combination with the inefficient domestic hot water

system, the child care centre may also contribute to the high energy intensity of Building 38.

The swimming pools included in the building facilities probably contribute to the above average

energy intensity in Buildings 29 and 39. Buildings 28, 29, 35 and 36 all have heated

underground parking garages that could contribute to their above average energy intensity. Since

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the parking garage has not been included in the gross floor area for each of the buildings, any

energy consumed by heating, ventilation or lighting of the parking garage is added directly to the

building energy use without any differentiation that the energy is actually being consumed

outside the gross floor area.

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Chapter 9 Conclusions and Further Research

The Refined Data Set was an improvement on the data set used in the Meta-Analysis: it not only

contained more complete energy consumption information and detailed building characteristics

for all buildings, it also more closely reflected the population characteristics of Toronto mid and

high-rise MURBs in terms of the distribution of building ages, heights sampled and the split in

the electricity to natural gas use.

Although the Refined Data Set was an improvement, there were still limitations in the building

characteristics data. Firstly, the data was collected by many different parties whose collection

practices varied. This introduced inconsistencies in the data, which are reflected by some of the

weaker than expected correlations, such as correlations with the fenestration ratio and the boiler

efficiency. Additionally, no information was available for a few of the variables that were

identified as having a potentially significant impact on energy use such as the glazing type and

the actual number of occupants.

9.1 Variables affecting energy consumption

In Section 7.3, the variables expected to affect the components of energy consumption were

predicted. Some of these hypotheses were confirmed by the correlation analysis and the multi-

variable regression results and some were negated. A summary of these conclusions is provided

in Table 13.

Table 13: Conclusions and data collection needs related to the variables examined

Variable Conclusion Data collection needs

Fenestration

ratio

The fenestration ratio was shown to affect energy

use related to heating and cooling as predicted.

The correlation was shown to be stronger in

buildings with double-glazed windows than in

buildings with single-glazed windows leading to a

hypothesis that window air leakage may also be a

significant contributor.

Air leakage Air leakage is predicted to have an impact on

energy use related to heating and cooling,

especially in buildings with single-glazing. This

suggestion could not be tested since no data on

window air tightness were available.

Information on window type, age,

condition (including sealant), and

ratio of operable to fixed windows.

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Variable Conclusion Data collection needs

Fenestration

ratio

The fenestration ratio was shown to affect energy

use related to heating and cooling as predicted.

The correlation was shown to be stronger in

buildings with double-glazed windows than in

buildings with single-glazed windows leading to a

hypothesis that window air leakage may also be a

significant contributor.

Air leakage Air leakage is predicted to have an impact on

energy use related to heating and cooling,

especially in buildings with single-glazing. This

suggestion could not be tested since no data on

window air tightness were available.

Information on window type, age,

condition (including sealant), and

ratio of operable to fixed windows.

Glazing U-

value

The considerable variation in the data correlating

the glazing U-value with heating and cooling

loads suggest that glazing U-value affects

heating and cooling loads but may not be a

governing variable.

Boiler

efficiency

The expected relationship between boiler

efficiency and variable natural gas intensity was

found. However, the R2 value was lower than

expected. This was because the data on boiler

efficiency was not comprehensive enough to

accurately project actual boiler plant efficiencies.

Information that will indicate the

boiler’s actual efficiency, not the

rated efficiency, should be

collected. This information includes

the age, maintenance practices,

boiler use patterns, the type of

boiler, and the boiler and pipe

configuration.

Cooling

capacity

The relationship between cooling capacity and

electrical intensity in air conditioned buildings

provided the strongest relationship in the

analysis.

Number of

occupants

The number of occupants was shown to be the

governing variable related to base natural gas

consumption; however, this result was based on

an estimate of the number of occupants rather

than the actual number, which was not available.

The multi-variable regression analysis also

suggested that the number of occupants may

influence variable natural gas intensity since the

number of occupants can contribute to internal

heat gain.

The number of occupants in each

building is an important variable for

which data should be collected.

Alternatively, census data at a more

detailed level could be used to

determine the number of occupants

in each building.

Common

areas and

special

facilities

The analysis of anomalies revealed that although

there was not one particular factor that could

explain a large group of the anomalies,

information on the special facilities included in the

buildings aided in the explanation of a number of

the anomalies.

Quantify the floor area dedicated to

common area facilities and note

high energy use amenities like

pools.

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Based on the variables found to be most influential, it is clear that window characteristics and

heating system type are the two main factors that should be considered when determining

building typologies.

9.2 Future work

The Meta-Analysis and the Refined Data Set were the first two phases of the research

commissioned by TAF. The final phase includes creating a database, generating suggestions for

typology-specific building upgrades, and developing energy models of four buildings to assess

the effect of certain upgrades.

The database will contain the 40 buildings from the Refined Data Set and will also include the

functionality to add new buildings. The analysis provided by the database will follow the same

method for weather normalization, determination of base and variable loads, and groupings for

the type of building heating system used for the Refined Data Set. Additionally, the correlations

found to be strong will be built into the database.

The suggestions for typology-specific building upgrades will be based on the variables found to

be most strongly linked to energy consumption in the correlation analysis such as the window

characteristics and the heating system efficiencies. Additionally, the research included in the

Meta-Analysis and the Refined Data Set on the distribution of MURB heights and ages in the

Toronto population will allow large groups of buildings to be targeted.

Beyond the research commissioned by TAF, this research is relevant to current planning and

research at the Office of Energy Efficiency. The main challenge of this thesis and of many other

consumer-side energy studies of MURBs was gaining access to accurate energy consumption

information for a large enough sample of buildings. Many organizations collect energy

consumption information for MURBs and maintain private databases for their own purposes;

however, most are unwilling to share this information for privacy reasons or due to industry

competition.

In the past, there has been more emphasis on improving the energy efficiency of commercial

sector buildings through government incentives, policies, and planning.76

Single detached and

singled attached homes as well as schools have also been common targets for programs to

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improve energy efficiency. More recently however, the need for benchmarking energy

consumption in MURBs has moved to the forefront. The United States Environmental

Protection Agency uses the ENERGY STAR programme to benchmark and rate buildings.

Natural Resources Canada’s Office of Energy Efficiency has recommended that a benchmarking

tool based on ENERGY STAR be launched in Canada.77

When such an energy benchmarking tool is launched for MURBs, lessons learned from the

Meta-Analysis and the Refined Data Set studies should be taken into account. The following is a

list of considerations based on the results of this thesis:

1. Energy consumption data must be weather normalized. This is necessary in order to

compare buildings from across the country and use energy consumption data from

different years. Additionally, energy consumption data must be provided on a monthly

basis so that it can be properly weather normalized.

2. Data must be entered on a whole building basis rather than on a household basis.

Although data can be entered on a household basis for single detached homes, this

approach is not appropriate for MURBs. Individual suite owners usually only have

access to information that will yield the energy intensity of their suite and not the entire

building energy intensity.

3. Buildings must be categorized based on the type of heating system. Electrically heated

buildings should not be compared directly to natural gas heated buildings.

4. In addition to the monthly energy consumption data, essential information on building

characteristics that must be collected includes: gross floor area, number of storeys,

number of suites, number of occupants, date of construction, and building location. The

gross floor area should be clearly defined.

5. Important information on building characteristics that should be collected includes:

fenestration ratio, glazing characteristics (see Table 13), boiler efficiencies, air

conditioning cooling capacity, percent of gross floor area allocated to common areas, and

type of ownership (including responsibility for paying utility bills).

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6. Additional information on building characteristics that could be collected includes: a

building photograph, heating boiler capacity, MAU ventilation capacities, wall R-value,

presence of balconies and through-wall floor slabs, the type of amenities and common

areas.

Understanding actual baseline energy intensities of MURBs is the first step to improving the

energy efficiency of these buildings. The Meta-Analysis and the Refined Data Set represent

the start of the benchmarking process required for Toronto MURBs. However, it is essential

that this benchmarking process take place on a much larger scale to include MURBs in cities

across Canada. Benchmarking data can then be combined with improvements to building

codes, and rehabilitation of existing buildings to result in a building stock with better energy

efficiency.

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References

[1] 1 Clarissa Binkley, Marianne Touchie, and Kim Pressnial, Meta-Analysis of Energy

Consumption in Multi-Unit Residential Buildings in the Greater Toronto Area (Report

submitted to Toronto Atmospheric Fund, 2011).

[2] 2 Clarissa Binkley, Marianne Touchie, and Kim Pressnail, Energy Consumption Trends of

Multi-Unit Residential Buildings in the City of Toronto (Report submitted to Toronto

Atmospheric Fund, 2012).

[3] 3 City of Toronto: Policy and Research, City Planning Division, and Social Policy

Analysis & Research, Release of 2006 Census Results Marital Status, Families, Households

and Dwelling Characteristics (September 2007) 8

<http://www.toronto.ca/demographics/pdf/2006_familieshouseholds_backgrounder.pdf> at

21 July 2012.

[4] 4 Natural Resources Canada, Survey of Household Energy Use 2007 Detailed Statistical

Report (2010) Office of Energy Efficiency, 168 (Table 11.3), 180 (Table 11.5)

<http://oee.nrcan.gc.ca/Publications/statistics/sheu07/pdf/sheu07.pdf> at 21 July 2012.

[5] 5 Ibid.

[6] 6 Graeme Stewart and Jason Thorne, Tower Neighbourhood Renewal in the Greater

Golden Horseshoe (2010) Centre for Urban Growth and Renewal, 48

<http://www.cugr.ca/tnrggh> at 21 July 2012.

[7] 7 Natural Resources Canada, Comprehensive Energy Use Database – Sources (11 July

2012) Office of Energy Efficiency,

<http://oee.nrcan.gc.ca/corporate/statistics/neud/dpa/comprehensive_tables/sources.cfm?attr=

0> at 7 August 2012.

[8] 8 Douglas Hart, ‘Energy and Water Consumption Load Profiles in Multi-Unit Residential

Buildings’ (2005) Technical Series 05-119, Research Highlights Canadian Mortgage and

Housing Corporation, 2, <http://www.cmhc-schl.gc.ca/odpub/pdf/64940.pdf> at 22 July

2012.

[9] 9 Natural Resources Canada, Comprehensive Energy Use Database – Residential Sector

Ontario Table 38 (16 April 2012) Office of Energy Efficiency,

<http://oee.nrcan.gc.ca/corporate/statistics/neud/dpa/tablestrends2/res_on_38_e_4.cfm?attr=0

> at 9 August 2012.

[10] 10 Ronggui Liu, ‘Energy Consumption and Energy Intensity in Multi-Unit Residential

Buildings (MURBs) in Canada’ (2007) 04, Canadian Building Energy End-Use Data and

Analysis Centre, 6 (Table 3.1.2) <

http://www.cbeedac.com/publications/documents/MURBsrp04.pdf> at 22 July 2012.

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[11] 11 Natural Resources Canada, Comprehensive Energy Use Database – Residential Sector

Ontario Table 38, above n 9.

[12] 12 RDH Building Engineering Limited, ‘Energy Consumption and Conservation in Mid-

and High-Rise Residential Buildings in British Columbia’ (2012) Canadian Mortgage and

Housing Corporation Research Report, 1, <ftp://ftp.cmhc-schl.gc.ca/chic-

ccdh/Research_Reports-

Rapports_de_recherche/eng_unilingual/CA1%20MH%2012E51_w.pdf> at 22 July 2012.

[13] 13 Natural Resources Canada, Comprehensive Energy Use Database – Residential Sector

British Columbia Table 38 (16 April 2012) Office of Energy Efficiency,

<http://oee.nrcan.gc.ca/corporate/statistics/neud/dpa/tablestrends2/res_bc_38_e_4.cfm?attr=0

> at 9 August 2012.

[14] 14 City of Toronto: Policy and Research, City Planning Division, and Social Policy

Analysis & Research, above n 3.

[15] 15 Emporis, Toronto Buildings, < http://www.emporis.com/> at 10 July 2012.

[16] 16 United Nations Statistics Division, Demographic Yearbook 2005 (2011) Table 8,

<http://unstats.un.org/unsd/demographic/products/dyb/dyb2005.htm> at 10 July 2012.

[17] 17Live Green Toronto, The Power to Live Green: Toronto’s Sustainable Living Plan

(October 2009) 11 (Table 2) < http://www.toronto.ca/livegreen/downloads/2009-

10_report.pdf> at 9 August 2012.

[18] 18Bob Krawczyk, A Database of Buildings in Toronto, Canada (2010) TOBuilt <

http://www.tobuilt.ca/> at 5 May 2012.

[19] 19 Stewart and Thorne, above n 6.

[20] 20 Natural Resources Canada, 2003 Survey of Household Energy Use (SHEU) Detailed

Statistical Report, Office of Energy Efficiency (2006) 121 (Table 8.2) <

http://oee.nrcan.gc.ca/publications/statistics/sheu03 /pdf/sheu03.pdf > at 21 July 2012.

[21] 21 Douglas Hart, above n 8.

[22] 22 Ibid 1.

[23] 23 Ibid 2.

[24] 24 Ibid 3.

[25] 25 Enermodal Engineering Limited, ‘Review of OHC Building Energy and Water Audits’

(2000) Technical Series 00-110, Research Highlights Canadian Mortgage and Housing

Corporation <http://cmhc.ca/odpub/pdf/62587.pdf?lang=en> at 22 July 2012.

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93

[26] 26 Ibid 1.

[27] 27 Ibid.

[28] 28 A Hakim Elmahdy, Building Research Note: Annual Consumption Data on Apartment

Buildings (Ottawa, 1982) Division of Building Research, National Research Council of

Canada < http://www.nrc-cnrc.gc.ca/obj/irc/doc/pubs/brn/brn181/brn181.pdf> at 22 July

2012.

[29] 29 Ibid 3, Table 1.

[30] 30 Ibid 6, 7, Table 3.

[31] 31 Ibid 3, Table 1.

[32] 32 Ibid 15, 16, Figure 1 - 4.

[33] 33 Ibid 17, 18, Figure 5 – 7.

[34] 34 Ibid 3, Table 1.

[35] 35 Ibid.

[36] 36 Ronggui Liu, ‘Energy Consumption and Energy Intensity in Multi-Unit Resnidential

Buildings (MURBs) in Canada’ (2007) 04, Canadian Building Energy End-Use Data and

Analysis Centre < http://www.cbeedac.com/publications/documents/MURBsrp04.pdf> at 22

July 2012.

[37] 37 Ibid 2.

[38] 38 Ibid 5, Table 3.1.1.

[39] 39 Ibid 6, Table 3.1.2.

[40] 40 Enermodal Engineering Limited, above n 25, 2.

[41] 41Ibid.

[42] 42 Ronggi Liu, above n 36, 10.

[43] 43 RDH Building Engineering Limited, above n 12.

[44] 44 Ibid 60.

[45] 45 Ibid 60, Figure 3.5.1.

[46] 46 Environment Canada, Canadian Climate Normals 1971-2000 Vancouver Int’l A (2012)

National Climate Data and Information Archive

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<http://www.climate.weatheroffice.gc.ca/climate_normals/results_e.html?stnID=889&lang=e

&dCode=1&StationName=VANCOUVER&SearchType=Contains&province=ALL&provB

ut=&month1=0&month2=12> at 24 July 2012.

[47] 47 Environment Canada, Canadian Climate Normals 1971-2000 Toronto Lester B.

Pearson Int’l A (2012) National Climate Data and Information Archive

<http://www.climate.weatheroffice.gc.ca/climate_normals/results_e.html?stnID=5097&lang

=e&dCode=1&StationName=TORONTO&SearchType=Contains&province=ALL&provBut

=&month1=0&month2=12> at 24 July 2012.

[48] 48 Environment Canada, Daily Data Report for January 1975(2012) National Climate

Data and Information Archive

<http://www.climate.weatheroffice.gc.ca/climateData/dailydata_e.html?timeframe=2&Prov=

ONT&StationID=5051&dlyRange=1840-03-01|2012-04-

08&Year=1975&Month=1&Day=01> at 24 July 2012.

[49] 49 Ibid.

[50] 50 Statistics Canada, Report on Energy Supply and Demand in Canada (2009) <

http://www.statcan.gc.ca/pub/57-003-x/57-003-x2009000-eng.pdf> at 24 July 2012.

[51] 51 Ibid 124.

[52] 52 Natural Resources Canada, Survey of Household Energy Use 2007 Detailed Statistical

Report, above n 4.

[53] 53 Ibid 194.

[54] 54 Ibid 197.

[55] 55 Ibid 196.

[56] 56 Natural Resources Canada, Energy Use Data Handbook 1990-2009 (2012) Office of

Energy Efficiency, 19 <

http://oee.nrcan.gc.ca/publications/statistics/handbook11/pdf/handbook11.pdf> at 24 July

2012.

[57] 57 Natural Resources Canada, Survey of Household Energy Use 2007 Detailed Statistical

Report, above n 4, 162, Table 11.2.

[58] 58 Natural Resources Canada, Survey of Household Energy Use 2003 Detailed Statistical

Report (2006) Office of Energy Efficiency, 117 (Table 8.1), 121 (Table 8.2) <

http://oee.nrcan.gc.ca/Publications/statistics/sheu03/pdf/sheu03.pdf > at 30 July 2012.

[59] 59 Natural Resources Canada, Energy Use Data Handbook Table 4 (16 April 2012) Office

of Energy Efficiency

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<http://oee.nrcan.gc.ca/corporate/statistics/neud/dpa/tableshandbook2/res_00_4_e_5.cfm?attr

=0> at 10 August 2012.

[60] 60 Natural Resources Canada, Comprehensive Energy Use Database – Residential Sector

Canada Table 45 (16 April 2012) Office of Energy Efficiency,

<http://oee.nrcan.gc.ca/corporate/statistics/neud/dpa/tablestrends2/res_ca_45_e_4.cfm?attr=0

> at 9 August 2012.

[61] 61 Natural Resources Canada, Comprehensive Energy Use Database – Residential Sector

Ontario Table 38, above n 9.

[62] 62 Natural Resources Canada, Comprehensive Energy Use Database – Residential Sector

British Columbia Table 38 (16 April 2012) Office of Energy Efficiency,

<http://oee.nrcan.gc.ca/corporate/statistics/neud/dpa/tablestrends2/res_bc_38_e_4.cfm?attr=0

> at 9 August 2012.

[63] 63 Enermodal Engineering Limited, above n 25.

[64] 64 Ekaterina Tzekova, Kim D Pressnail, David De Rose, and Kevin Day, Evaluating the

effectiveness of energy-efficient retrofits on multi-unit residential buildings: two case studies.

Winnipeg: 13th

Canadian conference on buildings science and technology, 2011.

[65] 65 Arup, Community energy plan for pilot sites.(2010) Toronto: Mayor’s Tower Renewal,

<http://www.toronto.ca/city_manager/pdf/tr_arup_cep.pdf> at 10 August 2012.

[66] 66 Bob Krawczyk, above n 18.

[67] 67Natural Resources Canada, Energy Use Data Handbook Table 11 (16 April 2012)

Office of Energy Efficiency

<http://oee.nrcan.gc.ca/corporate/statistics/neud/dpa/tableshandbook2/res_00_11_e_5.cfm?at

tr=0> at 10 August 2012.

[68] 68 Neil B Hutcheon and Gustav O P Handegord, Building Science for a Cold Climate

(Institute for Research in Construction, 1995).

[69] 69Natural Resources Canada, Gas Heating Terms and Conversions (2 July 2010) Office

of Energy Efficiency, <http://oee.nrcan.gc.ca/equipment/heating/11280> at 10 August 2012.

[70] 70ENERGY STAR, ENERGY STAR Portfolio Manager Methodology for Accounting for

Weather, United States Environmental Protection Agency, 3,

<http://www.energystar.gov/ia/business/evaluate_performance/Methodology_Weather_2011

0224.pdf> at 19 September 2012.

[71] 71 Natural Resources Canada, Comprehensive Energy Use Database – Residential Sector

Ontario Table 38, above n 9.

[72] 72 Natural Resources Canada, Survey of Household Energy Use 2007 Detailed Statistical

Report, above n 4.

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96

[73] 73 J K Latta, Building Research Note: Computed Energy Consumption for New and

Existing High-Rise Residential Buildings Suggested Norms and Potential Reductions

(Ottawa, 1983) Division of Building Research, National Research Council of Canada

<http://www.nrc-cnrc.gc.ca/obj/irc/doc/pubs/brn/brn201/brn201.pdf> at 22 July 2012.

[74] 74 Toronto Atmospheric Fund, Emissions Quantification (2008) Toronto

<http://www.toronto.ca/taf/quant_policy_approach.htm> at 10 August 2012.

[75] 75 Natural Resources Canada, Comprehensive Energy Use Database – Residential Sector

Ontario Table 38, above n 9.

[76] 76National Round Table on the Environment and the Economy, Geared for Change:

Energy Efficinecy in Canada’s Commercial Building Sector (2009) Sustainable

Development Technology Canada, < http://www.sdtc.ca/uploads/documents/en/nrtee-

report.pdf> at August 10, 2012.

[77] 77

Demand Side Management Working Group Sub-Committee on Building and

Housing Energy Labelling, Council of Energy Ministers, Building Energy Benchmarking:

Recommendation and Work Outline for a System for Canada (1 September 2009) Office of

Energy Efficiency,

<http://oee.nrcan.gc.ca/sites/oee.nrcan.gc.ca/files/files/pdf/publications/cem-

cme/benchmark_e.pdf> at 10 August 2012.

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Appendix A Calculations of Statistics for Toronto Dwellings

The majority of the calculations shown below are based on 2006 and 2007 statistics. No

adjustment has been made to bring the estimates into the current year. According to 2011 census

data, the population of the City of Toronto grew by 4.5% between 2006 and 2011.i Therefore, it

would be reasonable to expect an increase in all of the given statistics. However, no inflation

factor has been applied since the change within each dwelling type cannot be readily estimated.

1. Number of apartment dwellings in Toronto

Statistics Canada defines a dwelling as:

…a separate set of living quarters with a private entrance either from outside the

building or from a common hall, lobby, vestibule or stairway inside the building. The

entrance to the dwelling must be one that can be used without passing through the living

quarters of some other person or group of persons.ii

Based on 2006 census data, the City of Toronto contains a total of 979,440 dwellings: 379,700 of

which are in apartment buildings of five or more storeys, and 162,984 of which are in apartment

buildings of four or fewer storeys.iii

Therefore, the statistics provided on page 1 were calculated

as follows:

% of dwellings in mid and high-rise apartment buildings: ���,���

���,��� = 38.8% → 39%

% of dwellings in low-rise apartment buildings: ���,���

���,��� = 16.6% → 16%

% of dwellings in apartment buildings: 38.8% + 16.6% = 55.4% → 55%

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98

2. Greenhouse gas emissions of Toronto MURBs

According to the 2007 Survey of Household Energy Use (SHEU), there are 776,286 Ontario

households in apartment buildings of five or more storeys. In total, these buildings use

18,796,181GJ/year of electricity and 15,247,961GJ/year of natural gas. There are 456,393

Ontario households in apartment buildings of four or fewer storeys that use a total of

12,288,400GJ/year of electricity and 9,929,064GJ/year of natural gas.iv

The emissions factors

assigned to electricity and natural gas use are 0.187kg/kWh and 1.879kg/m3 respectively.

v There

are 162,984 low-rise apartment dwellings and 379,700 mid and high-rise apartment dwellings in

Toronto.vi

Table A1 provides a summary of the estimated greenhouse gas emissions for the

MURB sector in Toronto.

Table A1: Calculated Greenhouse Gas Emissions for Toronto MURBs

Low-rise apartments Mid and high-rise apartments

Electricity Natural gas Electricity Natural gas

Energy use per Ontario

household (GJ)

26.93 21.76 24.21 19.64

Energy use for all Toronto

households (GJ)

4,388,000 3,546,000 9,194,000 7,458,000

Emissions factor (kg/GJ) 51.94 50.67 241.7 50.67

Tonnes of CO2e 228,000 179,700 447,600 377,900

Sub-total 407,600 855,500

Total 1,263,000

3. Number of MURBs in Toronto

The number of MURBs in Toronto has been estimated based on the number of dwellings in the

City of Toronto as given in Appendix A, Section 1. The number of dwellings per building has

been taken as the median number of suites from the 130 MURBs included in this research. The

median number of suites in mid and high-rise MURBs was 181 suites and the median number of

suites in low-rise MURBs was 36 suites.

Estimated number of mid and high-rise MURBs: ���,���

��� = 2,092 → 2,100

Estimated number of low-rise MURBs: ���,���

�� = 4,527 → 4,500

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99

4. Cities with the largest number of high-rise buildings

The 20 cities with the largest number of high-rise buildings in the world are listed in Table A2.

The number of high-rise buildings in each city was obtained from an online database and the

population of each city was obtained from United Nations population data for the latest available

year. In the online database, high-rise buildings are defined as having 12 or more storeys, which

is different from the eight or more storeys definition used throughout the rest of this thesis.

Table A2: List of cities with the largest number of high-rise buildings and their population

Rank City Number of high-

rise buildingsvii

Populationviii

1 Hong Kong 7,896 6,977,700

2 New York 6,508 8,363,710

3 Sao Paulo 6,467 10,990,249

4 Singapore 4,764 4,839,400

5 Caracas 3,864 4,196,514

6 Moscow 3,760 10,489,644

7 Seoul 2,963 10,031,719

8 Rio de Janeiro 2,947 6,161,047

9 Tokyo 2,780 8,489,653

10 Toronto 2,505 2,615,060

11 Istanbul 2,439 11,372,613

12 London 2,128 7,556,900

13 St. Petersburg 2,108 4,574,950

14 Buenos Aires 1,868 2,965,403

15 Chicago 1,625 2,853,114

16 Kiev 1,588 2,698,926

17 Mexico City 1,533 8,836,045

18 Mumbai 1,517 11,978,450

19 Santiago 1,498 4,988,252

20 Osaka 1,484 2,628,811

i City of Toronto: Policy and Research, City Planning Division, and Social Policy Analysis & Research,

Backgrounder 2011 Census: Age and Sex Counts (29 May 2012) 1,

<http://www.toronto.ca/demographics/pdf/censusbackgrounder_ageandsex_2011.pdf> at 10 August 2012.

iiStatistics Canada, Private Dwelling Universe Definition (25 July 2008) Definitions Data Sources and Methods <

http://www.statcan.gc.ca/concepts/definitions/priv-eng.htm> at 10 August 2012

iii

City of Toronto: Policy and Research, City Planning Division, and Social Policy Analysis & Research, Release of

2006 Census Results Marital Status, Families, Households and Dwelling Characteristics (September 2007) 8

<http://www.toronto.ca/demographics/pdf/2006_familieshouseholds_backgrounder.pdf> at 21 July 2012.

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100

iv Natural Resources Canada, 2007 Survey of Household Energy Use (SHEU-2007) – Data Tables (29 March 2010)

Office of Energy Efficiency, Table 1.1, 11.3, 11.5,

<http://oee.nrcan.gc.ca/corporate/statistics/neud/dpa/data_e/sheu07/tables.cfm?attr=0> at 10 August 2012.

v Toronto Atmospheric Fund, Emissions Quantification (2008) Toronto

<http://www.toronto.ca/taf/quant_policy_approach.htm> at 10 August 2012.

vi City of Toronto: Policy and Research, City Planning Division, and Social Policy Analysis & Research, Release of

2006 Census Results Marital Status, Families, Households and Dwelling Characteristics (September 2007) 8,

<http://www.toronto.ca/demographics/pdf/2006_familieshouseholds_backgrounder.pdf> at 21 July 2012.

vii

Emporis, Toronto Buildings, < http://www.emporis.com/> at 10 July 2012.

viii United Nations Statistics Division, Demographic Yearbook 2005 (2011) Table 8,

<http://unstats.un.org/unsd/demographic/products/dyb/dyb2005.htm> at 10 July 2012.

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101

Appendix B Sample Letter of Request

Appendix B contains a copy of the letter that was sent to the 42 building owners during the

Refined Data Set data collection process. Each letter was personalized with the building owner’s

name and address and mailed out to the Green Condo Champions participants. The FAQs sheet

also provided in this appendix was sent later in the data acquisition process.

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35 St. George Street

Toronto, ON, M5S 1A4

January 27, 2012

Subject: REQUEST FOR ELECTRICITY DATA

<<CONTACT NAME>>

<<BUILDING ADDRESS>>

Dear <<CONTACT NAME>>,

The Sustainable Building Group at the University of Toronto is working with the Toronto Atmospheric Fund to

develop a better understanding of energy use in multi-unit residential buildings (MURBs).

As part of the Green Condo Champions initiative, members of your board participated in training and engagement

programs focused on cutting energy costs and reducing greenhouse gas emissions and received an audit report

and recommendations for strategies to reduce the energy use in your building. These audit reports, used

anonymously, have been invaluable in establishing the foundations of a comprehensive MURB database that will

help inform policy makers and direct energy retrofit efforts.

To complete the data set, we are requesting access to your historical electricity records in order to match these

data with the existing natural gas data in the audit report. The anonymity of all of your energy performance data

will be strictly maintained. When entered into the energy use database, your building name and/or address will be

replaced with a unique number for the data analysis procedures.

Following completion of the study in September 2012, you will be provided with a ranking of your building within

the rest of the data set to determine your building’s level of energy performance compared to other similar

buildings.

Kindly complete both pages of the attached letter and return it in the self-addressed stamped envelope at your

earliest convenience. If you have any questions or concerns, please do not hesitate to contact me at

[email protected] or (416) 432-1535.

Your prompt attention and cooperation are greatly appreciated!

Kind Regards,

Clarissa Binkley

Sustainable Building Group Researcher

University of Toronto

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Toronto MURB Energy Study – FAQs

WHAT is this project?

This is a research project to

establish the baseline energy use

characteristics of Toronto multi-

unit residential buildings

(MURBs). Before proceeding to

the next stage of developing

strategies to improve new and

existing MURBs, it is vital that

current energy consumption and

the key variables that drive

energy performance are well

understood. With more than

2,700 MURBs in the City of

Toronto housing over one third

of the population and producing

over 40% of the city’s residential

sector greenhouse gas emissions,

maintaining these buildings is a

paramount concern.

WHO are the project partners?

The Toronto Atmospheric Fund (TAF) is sponsoring this study

undertaken by researchers at the University of Toronto.

This project is separate from the Green Condo Champions

Initiative and has different objectives.

HOW will the information be used?

Information provided about your building will be added to a

larger pool of data being used to study baseline energy use

characteristics of Toronto MURBs. The building address

associated with the information will be replaced with a

unique identification tag and building addresses and

defining characteristics will be kept strictly confidential.

This study examines the characteristics of the entire pool of

data, rather than focusing on any one particular building.

WHAT are the incentives

to participate?

Following completion of the

study in September 2012,

participants will be provided

with a ranking of your building

within the data set. The

“Toronto MURB Energy

Intensity” graph is a sample

ranking. In addition, you will be

contributing to an important

area of research with wide

spread benefits.

WHAT is required to participate?

A board member or building manager must provide the study partners with permission to access

your historical electricity records. This can be done by completing the letter providing your Toronto

Hydro account number and your permission to release the data. The letter of release has been sent

by paper mail or electronic email for your completion. To obtain a letter of release please contact

Clarissa Binkley at 416-432-1535 or [email protected].

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Appendix C Individual Building Characteristics

The date of construction, number of floors, gross floor area and the number of suites for each of

the buildings in the examined data sets are provided in the tables below. The Meta-Analysis data

is divided into three tables based on the original source of the data. Table C1 shows the data

from the HiSTAR database, Table C2 provides the data derived from the Green Condo

Champions data set, and Table C3 details the data obtained from the Tower Renewal

Benchmarking Initiative. The characteristics of the buildings included in the Refined Data Set

are provided in Table C4.

Although 20 of the buildings from the Meta-Analysis were also included in the Refined Data Set,

these buildings were assigned new reference letters for the Refined Data Set. Also note that the

reference letter for buildings in the Refined Data Set in Table C4 does not correspond to the

building number assigned to each building based on its ranked energy intensity. Different

identification tags have been used to protect the anonymity of the buildings so that a specific

building cannot be linked to an energy consumption value. However, the reference letters are

consistent with the reference letters in Appendix F, which shows the pictures of each building’s

window configuration.

Table C1: Characteristics of the HiSTAR buildings included in the Meta-Analysis

Reference

Letter

Date of

Construction

Number

of Floors

Number

of Suites

Gross Floor

Area (m2)

H1 unknown 10 100 8,410

H2 unknown 13 125 7,423

H3 unknown 6 67 3,931

H4 1991 9 125 11,186

H5 1989 9 96 8,779

H6 1973 7 74 3,345

H7 1982 6 60 12,465

H8 1969 17 242 17,156

H9 1976 23 336 23,212

H10 1970 26 201 16,486

H11 1971 22 321 22,203

H12 1966 12 171 12,110

H13 1968 17 223 15,520

H14 1969 15 218 15,138

H15 1970 20 400 18,116

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105

Reference

Letter

Date of

Construction

Number

of Floors

Number

of Suites

Gross Floor

Area (m2)

H16 1969 24 400 21,726

H17 1986 29 223 32,244

H18 1974 11 45 4,640

H19 1965 12 510 43,051

H20 1992 7 123 7,840

H21 1989 35 210 20,656

H22 1984 17 193 22,583

H23 1985 11 101 13,146

H24 1980 14 101 17,306

H25 1964 15 224 9,418

H26 1992 9 297 21,350

H27 1991 11 212 12,135

H28 1984 13 179 17,621

H29 1977 10 330 18,774

H30 1967 11 199 11,165

H31 1993 8 155 11,715

H32 1992 7 160 13,297

H33 1988 6 106 13,297

H34 1994 5 35 3,638

H35 1980 7 114 10,341

H36 1984 6 44 4,089

H37 1979 7 189 11,122

H38 1975 7 200 25,951

H39 1959 11 298 19,991

H40 1991 5 126 9,233

H41 1978 5 131 9,019

H42 1941 4 57 3,701

H43 1941 4 36 2,521

H44 1941 4 57 3,707

H45 1978 10 186 20,851

H46 1978 18 178 23,120

H47 1990 23 224 31,459

H48 1990 19 184 26,426

H49 1979 20 236 31,266

H50 1991 23 224 35,869

H51 1989 12 134 12,214

H52 1971 14 104 14,229

H53 1971 22 216 36,795

H54 1971 22 216 36,795

H55 1971 22 216 36,795

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Table C2: Characteristics of the Condo Champs buildings included in the Meta-Analysis

Reference

Letter

Date of

Construction

Number

of Floors

Number

of Suites

Gross Floor

Area (m2)

C1 1991 20 206 36,323

C2 1986 4 16 4,459

C3 2001 12 105 16,687

C4 1998 25 190 16,620

C5 2003 28 319 30,217

C6 2004 16 317 33,337

C7 2001 12 116 19,632

C8 1986 4 14 3,345

C9 1999 24 174 15,134

C10 1990 14 169 19,251

C11 2002 27 339 33,776

C12 1990 15 unknown 25,920

C13 2007 22 158 14,910

C14 1998 16 132 15,236

C15 1988 22 326 39,019

C16 2009 46 420 60,783

C17 1973 37 542 73,393

C18 1984 8 119 20,940

C19 1990 33 434 43,381

C20 1998 18 174 22,817

C21 1977 24 193 21,650

C22 1980 18 100 19,846

C23 2000 12 82 9,094

C24 1984 8 187 32,758

C25 1999 8 46 9,749

C26 1999 8 480 101,733

C27 2006 36 342 70,606

C28 1985 5 74 11,487

C29 1988 9 61 11,074

C30 1985 5 70 11,487

C31 1976 12 117 16,318

C32 1998 10 86 7,246

C33 2005 6 72 7,580

C34 2003 10 381 44,085

C35 2007 8 98 14,307

C36 1999 16 160 15,474

C37 2000 4 19 1,997

C38 1971 21 188 21,554

C39 1971 18 188 30,119

C40 2003 11 143 19,168

C41 1991 20 216 42,271

C42 1973 21 216 20,067

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Table C3: Characteristics of the Tower Renewal buildings included in the Meta-Analysis

Reference

Letter

Date of

Construction

Number

of Floors

Number

of Suites

Gross Floor

Area (m2)

T1 1978 23 228 28,986

T2 1978 23 227 28,986

T3 1969 17 192 20,700

T4 1968 17 310 22,389

T5 1961 9 116 10,202

T6 1964 unknown 299 25,826

T7 1964 unknown 300 25,826

T8 1964 unknown 300 25,826

T9 1966 unknown 264 32,581

T10 1970 unknown 719 51,110

T11 1969 unknown 626 50,222

Table C4: Characteristics of all buildings in the Refined Data Set

Reference Letter

Date of Construction

Number of Floors

Gross Floor Area (m

2)

Number of Suites

A 1991 9 11,186 125

B 1973 7 3,345 74

C 1966 12 12,110 171

D 1976 23 23,212 336

E 1982 6 12,465 84

F 1968 17 15,520 223

G 1969 15 15,138 218

H 1989 9 8,779 96

I 1981 21 20,656 210

J 1991 23 35,869 225

K 1992 7 13,297 160

L 1985 11 13,146 101

M 1990 23 31,459 224

N 1975 7 25,951 200

O 1990 19 26,426 184

P 1992 13 10,464 124

Q 1995 16 10,997 138

R 1992 8 8,842 92

S 1960 5 6,304 80

T 1992 9 13,877 115

U 1993 5 5,938 68

V 1993 5 6,076 69

W 1993 12 25,623 243

X 1974 13 14,493 152

Y 1974 14 15,608 164

Z 1991 6 8,872 83

AA 1999 16 10,829 160

BB 1977 24 21,650 193

CC 1973 21 20,067 216

DD 2002 27 33,776 339

EE 2003 28 30,217 336

FF 1963 23 28,986 230

GG 1967 17 22,390 216

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Reference Letter

Date of Construction

Number of Floors

Gross Floor Area (m

2)

Number of Suites

HH 1967 17 23,000 92

II 1976 22 11,378 123

JJ 1967 15 6,008 84

KK 1967 7 7,943 75

LL 1964 6 7,411 74

MM 1973 12 19,036 184

NN 1974 9 13,006 90

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Appendix D Characteristics of Toronto MURB Population

Information on the number of Toronto mid and high-rise MRUBs in certain height and vintage

categories was obtained by searching the TOBuilt databasei and limiting the query ranges to fit

the categories listed. Table D1 summarized the information obtained from TOBuilt. The total

number of buildings in the categories sums 1,734, which is greater than the total number of

buildings in the vintage categories. This is because information on building height is available

for more buildings than the date of construction.

Table D1: Number of mid and high-rise MURBs in height and vintage categories based on TOBuilt data

Height Categories Vintage Categories

Number of

Floors

Number of

Buildings

Time Period Number of

Buildings

5 -8 131 Before 1946 71

9 – 12 255 1946 – 1960 62

13 – 16 497 1961 – 1970 428

17 – 20 360 1971 – 1980 475

21 – 24 216 1981 – 1990 204

25 – 28 108 1991 – 2000 141

29 – 32 73 2001 – 2010 316

33 – 36 38 TOTAL 1,697

37 – 40 24

41 – 44 9

45 – 48 10

49 – 52 13

TOTAL 1,734

The TObuilt data provided in Table D1 was adjusted to more accurately reflect the actual

population of Toronto MURBs. The adjusted data is provided in Table D2. Within the

residential sector, the database is focused on high-rises, and is estimated by the authors of

TOBuilt to be 95% accurate. There are entries for a total of 1,609 high-rise MURBs and 131

mid-rise MURBs. The total number of mid and high-rise MURBs in Toronto is 2,100; however

the split between mid-rise MURBs and high-rise MURBs in unknown. Since the focus of

TObuilt is on high-rise buildings, this sector was considered 95% complete, while the mid-rise

sector was assumed to be more incomplete. Therefore, after the number of high-rise buildings

was increased, the remaining buildings were added to the mid-rise category to bring the total

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number of mid-rise and high-rise MURBs to 2,100. The calculation for this adjustment is shown

below:

�,��������� �������������

��%=1,693 high-rise MURBs

2,100midandhigh-riseMURBs–1,693high-riseMURBs=406mid-riseMRUBs

Therefore, the number of buildings in each height category was increased proportionally based

on the assumption that Toronto contains 406 mid-rise MURBs and 1,693 high-rise MURBs. It

was assumed that the vintage categories were represented equally the number of buildings were

increased proportionally without making special adjustments to certain categories.

Table D2: Estimated number of Toronto mid and high-rise MURBs based on adjusted TOBuilt data

Height Categories Vintage Categories

Number of

Floors

Number of

Buildings

% of

Population

Time Period Number of

Buildings

% of

Population

5 -8 406 19% Before 1946 88 4.2%

9 – 12 270 13% 1946 – 1960 77 3.7%

13 – 16 525 25% 1961 – 1970 530 25%

17 – 20 380 18% 1971 – 1980 588 28%

21 – 24 228 11% 1981 – 1990 252 12%

25 – 28 114 5.4% 1991 – 2000 174 8.3%

29 – 32 77 3.7% 2001 – 2010 391 19%

33 – 36 40 1.9% TOTAL 2,100

37 – 40 25 1.2%

41 – 44 10 0.5%

45 – 48 11 0.5%

49 – 52 14 0.7%

TOTAL 2,100

i Bob Krawczyk, A Database of Buildings in Toronto, Canada (2010) TOBuilt < http://www.tobuilt.ca/> at 5 May

2012.

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Appendix E Heat Equations Related to Energy Flows

Conduction heat loss is governed by Equation 1:

q = UA∆T (1)

Where:

q= rate of heat flow (W)

U = heat loss coefficient of material (W/m2K)

A = Area of material transverse to heat flow (m2)

∆T = Temperature differential across the material (°C)

Between opaque and transparent building envelope components, glazing is typically the weakest

part of the building envelope because of a high heat loss coefficient relative to walls sections.

The governing equation also indicates the important of glazing area in determining heat loss.

Air leakage which affects heat transferred across the building envelope, is governed by Equation

2:

Q =CA[(2/ρ)(∆P)]1/2

(2)

Where:

C = orifice coefficient

A = opening area (m2)

ρ = density of air (kg/m3)

∆P = pressure differential across envelope (Pa)

Though the pressure differential across the building envelope is influenced by mechanical

equipment, the bulk of this differential is generated by stack pressure due to building height and

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112

wind pressure. Therefore air leakage is influenced by the building construction in terms of the

type and area of openings. Again, the glazed components of the envelope will dominate this heat

loss component because they are often the air-leakiest parts of the buildings.

Solar radiation heat gains through glazing are governed by equation 3:

qt = SHGC x SHGF + U(to – ti) (3)

Where:

SHGC = solar heat gain coefficient

SHGF = solar heat gain factor (W/m2)

U = glazing U-value (W/m2K)

to = outdoor temperature (°C)

ti = indoor temperature (°C)

Though indoor and outdoor temperatures contribute to solar radiation heat gains, the

characteristics of the glazing that govern are the SHCG and the U-value.

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Appendix F Refined Data Set Building Pictures

Table F1 shows a small portion of the photograph of each building used to estimate the

fenestration ratio for the MURBs in the Refined Data Set. It is important to note that the

photograph of the entire building was used to revise the estimates of fenestration ratio, not the

close-ups shown here.

Table F1: Snapshot of buildings and associated fenestration ratio

Building Original

Fenestration

Ratio

Revised

Fenestration

Ratio

Snapshot

A 42% 60%

B 22% 32%

C 53% 53%

D 53% 53%

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114

Building Original

Fenestration

Ratio

Revised

Fenestration

Ratio

Snapshot

E 45% 45%

F 52% 52%

G 53% 53%

H 30% 35%

I 27% 35%

J 69% 75%

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Building Original

Fenestration

Ratio

Revised

Fenestration

Ratio

Snapshot

K 24% 35%

L 37% 35%

M 77% 75%

N 20% 20% No Picture available

O 66% 75%

P 40% 45%

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Building Original

Fenestration

Ratio

Revised

Fenestration

Ratio

Snapshot

Q 45% 45%

R 30% 40%

S 25% 35%

T 40% 50%

U 25% 25%

V 25% 25%

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Building Original

Fenestration

Ratio

Revised

Fenestration

Ratio

Snapshot

W 45% 70%

X 25% 30%

Y 25% 30%

Z 30% 60%

AA 50% 50%

BB 65% 65%

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Building Original

Fenestration

Ratio

Revised

Fenestration

Ratio

Snapshot

CC 25% 25%

DD 55% 70%

EE 70% 70%

FF 30% 52%

GG 30% 52%

HH 35% 52%

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Building Original

Fenestration

Ratio

Revised

Fenestration

Ratio

Snapshot

II 17% 25%

JJ 18% 25%

KK 35% 35%

LL 35% 35%

MM 50% 50%

NN 40% 40% No Photo Available

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Appendix G Additional Refined Data Set Correlations

The correlations explored in the Meta-Analysis have been reproduced using the Refined Data

Set. These correlations were not included in the body of the thesis because they do not lead to

any new conclusions.

1. Date of Construction

The Meta-Analysis equivalent to Figure G1 and Figure G2 can be found in Section 6.2.1 and

Section 6.2.2 respectively.

Figure G1: Energy intensity versus building vintage

0

100

200

300

400

500

600

1950 1960 1970 1980 1990 2000 2010

En

erg

y I

nte

nsi

ty (

ek

Wh

/m2)

Date of Construction

The Influence of Building Vintage on Energy

Intensity1961-1970 1971-1980 1981-1990 1991-2000 2001-2010 Average

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Figure G2: Weather-dependant loads versus building vintage

2. Building height

The Meta-Analysis equivalent to Figure G3 and Figure G4 can be found in Section 6.2.3

Figure G3: Total energy use versus number of storeys

0

200

400

600

800

1000

1950 1960 1970 1980 1990 2000 2010

Va

ria

ble

En

erg

y I

nte

nsi

ty

(ek

Wh

/m2)

Date of Construction

The Influence of Building Vintage on Variable

Energy Intensity

1961-1970 1971-1980 1981-1990 1991-2000 2001-2010 Average

R² = 0.5039

0

2000

4000

6000

8000

10000

12000

14000

0 5 10 15 20 25 30To

tal

An

nu

al

En

erg

y (

1,0

00

s o

f e

kW

h)

Number of Storeys

The Influence of Number of Storeys on Total

Energy

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Figure G4: Energy intensity versus building height by building vintage

3. Number and size of suites

The Meta-Analysis equivalent to Figure G5, Figure G6 and Figure G7 can be found in Section

6.2.4.

Figure G5: Total energy use versus number of suites

0

100

200

300

400

500

600

0 5 10 15 20 25 30

En

erg

y I

nte

nsi

ty (

ek

Wh

/m2)

Number of Storeys

The Influence of Number of Storeys on Energy

Intensity by Building Vintage1961-1970 1971-1980 1981-1990 1991-2000 2001-2010

R² = 0.5764

0

2000

4000

6000

8000

10000

12000

14000

0 100 200 300 400To

tal

an

nu

al

En

erg

y (

1,0

00

s o

f e

kW

h)

Number of Suites

The Influence of Number of Suites on Total

Energy

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Figure G6: Energy intensity versus number of suites

Figure G7: Attributed suite size versus date of construction

4. Ownership Type

The Meta-Analysis equivalent to Figure G8, Figure G9 and Figure G10 can be found in Section

6.2.5.

R² = 0.0006

0

100

200

300

400

500

600

0 100 200 300 400

En

erg

y I

nte

nsi

ty (

ek

Wh

/m2)

Number of Suites

The Influence of Number of Suites on Energy

Intensity

0

20

40

60

80

100

120

140

160

180

1950 1960 1970 1980 1990 2000 2010

Att

rib

ute

d S

uit

e A

rea

(m

2)

Date of Construction

The Influence of Construction Date on Suite Size1961-1970 1971-1980 1981-1990 1991-2000 2001-2010 Average

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Figure G8: Total energy intensity by area for each type of building ownership

Figure G9: Total energy intensity by suite for each type of building ownership

0

100

200

300

400

500

600

En

erg

y I

nte

nsi

ty (

ek

Wh

/m2

)

Energy Intensity by Ownership TypeOwned, No Subsidy Owned, Subsidized Rented, No SubsidyRented, Subsidized Average

0

10000

20000

30000

40000

50000

60000

Su

ite

En

erg

y U

se (

ek

Wh

/su

ite

)

Suite Energy Use by Ownership TypeOwned, No Subsidy Owned, Subsidized Rented, No SubsidyRented, Subsidized Average

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Figure G10: Suite size versus building ownership type

0

50

100

150

200

Su

ite

Siz

e (

m2

)

Suite Size by Ownership TypeOwned, No Subsidy Owned, Subsidized Rented, No SubsidyRented, Subsidized Average

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Appendix H Multi-Variable Linear Regression Results

This results of the multi-variable regression conducted on the Refined Data Set are presented

below. The only two analyses that considered all the variables available were the total energy

consumption analysis and the total energy intensity analysis. For the rest of the analyses the list

of variables was reduced as specified in the results. The list of variables available for each

regression analysis includes: number of floors, number of suites, gross floor area, year of

construction, heating boiler capacity, heating boiler efficiency, DHW boiler capacity, DHW

boiler efficiency, MAU ventilation capacity, air conditioner cooling capacity, presence of

balcony or through-wall slab, wall R-value, glazing U-value, fenestration ratio and boiler age.

1. Total energy consumption: systematic forward-selection

a. Variables considered: All 15

b. Variables selected and coefficients

Variable Coefficients

y –intercept -6,650,000

Heating boiler efficiency 4,390,000

MAU ventilation capacity 412

Gross floor area 83.8

Presence of balcony or through-wall slab 1,680,000

c. Adjusted R2: 0.845

2. Variable gas consumption: systematic forward-selection

a. Variables considered: 9

• Gross floor area, year of construction, fenestration ratio, heating boiler capacity, heating

boiler efficiency, presence of balcony or through-wall slabs, wall R-value, glazing U-

value, MAU ventilation capacity.

b. Variables selected and coefficients:

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Variable Coefficients

Y –intercept 197,000

Wall R-value -183,000

Gross floor area 44.71

MAU ventilation

capacity 218

c. Adjusted R2: 0.81

3. Base gas consumption: systematic forward-selection

a. Variables considered: 6

• Gross floor area, year of construction, DHW boiler capacity, DHW boiler efficiency,

number of floors, number of suites

b. Variables selected and coefficients:

Variables Coefficients

Y-intercept 2,110,000

DHW boiler

efficiency -2,340,000

Gross floor area 40.4

c. Adjusted R2: 0.17

4. Variable electricity consumption: systematic forward-selection

a. Variables considered: 7

• Gross floor area, year of construction, air conditioner cooling capacity, number of floors,

number of suites, fenestration ratio, MAU ventilation capacity

b. Variables selected and coefficients:

None, all R-square values were less than 0.1

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5. Base electricity consumption: systematic forward-selection

a. Variables considered: 7

• Gross floor area, year of construction, air conditioning cooling capacity, number of

floors, number of suites, fenestration ratio, MAU ventilation capacity

b. Variables selected and coefficients:

Variables Coefficients

y-intercept -146,000

MAU ventilation capacity 20.5

Gross floor area 58.2

Air Conditioning cooling capacity 159,000

c. Adjusted R2: 0.67

6. Total energy intensity: systematic forward-selection

a. Variables considered: All 15

b. Variables in order of selection and relative weighting

Order

Selected Variable Coefficient

Relative

Weighting

Adjusted R-Squared at

Time Variable was Added

y-Intercept -16,200

1 Fenestration ratio 335 1% 0.09

2

MAU ventilation

capacity 0.01 1% 0.19

3 Number of suites -1.2 1% 0.24

4 Year of Construction 8.3 94% 0.31

5 Wall R-value -25.0 1% 0.46

6 Number of floors 8.8 1% 0.57

7 Fenestration ratio -123 0% 0.58

7. Total energy intensity: logical method

a. Variables considered: 4

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129

• Glazing U-value, fenestration ratio, boiler efficiency, boiler age

b. Variables selected and coefficients:

Order

Selected Variable Coefficients

Adjusted

R-Square

y-Intercept 200

1 Glazing U-value 137 0.097

c. Although the adjusted R2 value has already been maximized, these are the results if the rest of

the variables continue to be added

Order

Added Variable Coefficients

Relative

Weighting

Adjusted R-Square at

Time Variable was

Added

Intercept 529

1 Glazing U 166 24% 0.097

2

Fenestration

Ratio -57 5% 0.073

3 Boiler Efficiency -379 63% 0.057

4 Boiler Age (yrs) -2 8% 0.045