predicting acid neutralizing capacity for the mid-atlantic highlands region

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Predicting Acid Predicting Acid Neutralizing Capacity Neutralizing Capacity for the Mid-Atlantic for the Mid-Atlantic Highlands Region Highlands Region Brett Kellum Jennifer Hoeting N. Scott Urquhart Colorado State University September 21, 2002

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Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region. Brett Kellum Jennifer Hoeting N. Scott Urquhart Colorado State University September 21, 2002. FUNDING SOURCE. - PowerPoint PPT Presentation

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Page 1: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

Predicting Acid Neutralizing Predicting Acid Neutralizing Capacity for the Mid-Atlantic Capacity for the Mid-Atlantic

Highlands RegionHighlands RegionBrett Kellum

Jennifer Hoeting

N. Scott Urquhart

Colorado State University

September 21, 2002

Page 2: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

FUNDING SOURCE

• This presentation was developed under the STAR Research Assistance Agreement CR-829095 awarded by the U.S. Environmental Protection Agency (EPA) to Colorado State University.  This presentation has not been formally reviewed by EPA.  The views expressed here are solely those of its authors and the STARMAP Program. EPA does not endorse any products or commercial services mentioned in this presentation.

Page 3: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

IntroductionIntroduction

A. What is Acid Neutralizing Capacity (ANC)?

B. Remotely sensed model predictors

C. Data source: EMAP - Mid-Appalachian Highlands Region Assessment

Page 4: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

0 1000 2000 3000 4000 5000 6000

02

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08

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ANC

# o

f o

bse

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tion

sHistogram of Acid Neutralizing Capacity

N = 238

Page 5: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

Distribution of ANC by Geologic Class

Argillace Carbonate Felsic Mafic Siliceous

class

-1000

1000

3000

5000

AN

C

Page 6: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

NAArgillaceCarbonateFelsicMaficSiliceousUnclassif

ANC Sites by Available GeologyANC Sites by Available Geology

Page 7: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

Location and Magnitude of ANC in MAHA region

Page 8: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

Predictors Considered for ModelPredictors Considered for Model

• Elevation

• Bedrock Geology (with 5 classes)

• 13 Thematic Mapper Imagery Classifications

• Alber’s Projection Coordinates

• Strahler Order

Final data set contains 238 sites

Page 9: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

Response:

Acid Neutralizing Capacity (log)

Final Predictors in current “best” Regression Model Final Predictors in current “best” Regression Model

(Transformations)(Transformations)

Predictors:% Probable Row Crops% Pasture (log)% Urban – High Density (log)% Emergent Wetlands (log)% Woody Wetlands (log)% QuarryElevationCarbonate BedrockFelsic Bedrock

Model Summary

R2 = 0.58

Overall p-value <.0001

Page 10: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

0.0 0.5 1.0 1.5

Euclidean distance between points

0.0

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1.0

Cor

rela

tion

Omnidirectional Correlgram of residuals

Page 11: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

0.0 0.5 1.0 1.5 2.0

Euclidean distance between points

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0.6

0.8

1.0

Cor

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Directional Correlogram of residuals50 degree angle, 10 degrees span

Page 12: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

V. Areas of Further ResearchV. Areas of Further Research

A. More work in the area of anisotropic spatial models

B. Including interaction terms in the model

C. Weighted Least Squares

D. Predictive ability of models in other areas of MAHA

Page 13: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

Probable

Re

sid

s

0 20 40 60

-1.5

-0.5

0.5

1.0

Plot of Resids vs. Probable

log(Pasture)

Re

sid

s

-6 -4 -2 0 2 4

-1.5

-0.5

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Plot of Resids vs. log(Pasture)

log(Urb.hi)

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-6 -4 -2 0 2

-1.5

-0.5

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Plot of Resids vs. log(Urb.hi)

Elevation

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200 400 600 800 1000 1200

-1.5

-0.5

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Plot of Resids vs. Elevation

Tue Sep 17 12:26:51 2002

Page 14: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

Quarry

Re

sid

s

0 5 10 15 20 25

-1.5

-0.5

0.5

1.0

Plot of Resids vs. Quarry

log(Emergent)

Re

sid

s

-6 -4 -2 0

-1.5

-0.5

0.5

1.0

Plot of Resids vs. log(Emergent)

log(Woody)

Re

sid

s

-6 -4 -2 0 2

-1.5

-0.5

0.5

1.0

Plot of Resids vs. log(Woody)

-1.5

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1.0

0 1

Plot of Resids by carbon and felsic geology

Tue Sep 17 12:26:51 2002

Page 15: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

Fitted values

Re

sid

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6.0 6.5 7.0 7.5 8.0 8.5

-1.5

-0.5

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Plot of Resids vs. Fitted Values

Quantiles of Standard Normal

resi

d

-3 -2 -1 0 1 2 3

-1.5

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QQ plot of Residuals

Tue Sep 17 12:26:51 2002

Page 16: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

-2000 0 2000 4000 6000

05

01

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Acid Neutralizing Capacity

# o

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Histogram of Acid Neutralizing Capacity From Full MAHA Data

Page 17: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

Coefficients: Value Pr(>|t|) (Intercept) 7.8 <.0001pasture 0.0361 0.0169probable 0.0133 0.0184row.crops 0.0102 0.5017decid -0.0025 0.3589mixed 0.0554 0.1624evergreen -0.0210 0.1991urb.hi 0.0437 0.0713urb.low 0.0247 0.1898emergent 0.0559 0.0160woody -0.0468 0.0203transition -0.0030 0.8109quarry 0.0113 0.4649water -0.0110 0.5110elev -0.0007 0.0006carbon 0.4408 0.0302felsic -0.2392 0.2233arg 0.0356 0.8480silic -0.0211 0.9144ord2 -0.1206 0.1630ord3 -0.1471 0.1355X -0.0841 0.1223Y -0.0846 0.0649X^2 0.0058 0.8951Y^2 -0.1141 0.0155X*Y 0.1067 0.0748

Multiple R-Squared: 0.6394 Overall p-value is <.0001

Coefficients:

Value Pr(>|t|)

(Intercept) 7.4355 <.0001

probable 0.0119 0.0008

pasture 0.0529 <.0001

urb.hi 0.0686 0.0002

emergent 0.0446 0.0369

woody -0.0694 0.0003

quarry 0.0260 0.0750

elev -0.0005 0.0007

carbon 0.5215 <.0001

felsic -0.2935 0.0040

Multiple R-Squared: 0.5784

Overall p-value is <.0001

Page 18: Predicting Acid Neutralizing Capacity for the Mid-Atlantic Highlands Region

xp

yp

0.0 0.5 1.0 1.5 2.0

-0.2

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Directional Correlogram of residuals w/ X and Y50 degree angle, 10 degrees span