channel structure and growth rate
TRANSCRIPT
-
8/4/2019 Channel Structure and Growth Rate
1/17
Prey abundance, channel structure and the
allometry of growth rate potential for juvenile trout
J . S . R O S E N F E L D
B.C. Ministry of the Environment, Vancouver, BC, Canada
J . T A Y L O R
Jacques Whitford Environmental, Burnaby, BC, Canada
Abstract The application of a drift-foraging bioenergetic model to evaluate the relative influence of prey
abundance (invertebrate drift) and habitat (e.g. pool frequency) on habitat quality for young-of-the-year (YOY)and yearling juvenile cutthroat trout, Oncorhynchus clarki (Richardson) is described. Experiments and modelling
indicated simultaneous limitation of fish growth by prey abundance and habitat, where depth and current velocity
limit the volume of water and prey flowing through a fish s reactive field as well as swimming costs and prey
capture success. Predicted energy intake and growth increase along a depth gradient, with slower deeper pool
habitat generating higher predicted growth for both YOY and yearling trout. Bioenergetic modelling indicated
that fish are constrained to use progressively deeper habitats to meet increasing energy requirements as they grow.
Sensitivity of growth to prey abundance identified the need to better understand how variation in invertebrate drift
and terrestrial drop affects habitat quality and capacity for drift-feeding fishes.
K E Y W O R D S : bioenergetic modelling, habitat limitation, habitat quality, habitat quantity, invertebrate drift.
Introduction
Physical habitat structure and food availability (prey
abundance) are key factors affecting habitat use and
production of stream fishes. Habitat structure influ-
ences metabolic (e.g. swimming) costs, the ability of
fish to encounter and capture prey items and vulner-
ability to predation; prey abundance (encounter rate)
directly influences energy intake that a fish experiences
in any given habitat (Hill & Grossman 1993; Gross-
man, Rincon, Farr & Ratajczak 2002; Hughes, Hayes,
Shearer & Young 2003). Habitat structure and prey
abundance therefore jointly determine both the quan-
tity of habitat that generates positive growth and
survival for an organism across a landscape (i.e. the
area of useable habitat) as well as the quality of that
habitat (realised growth and survival rates in different
habitat types). The influence of physical habitat
structure on habitat use by stream fishes has received
enormous attention and been the focus of innumerable
studies. By contrast, few studies have considered the
role of prey abundance in habitat selection (e.g.
Hughes 1992; Nislow, Folt & Parrish 2000; Guensch,
Hardy & Addley 2001), and fewer still how habitat and
food interact to determine the distribution of useable
habitats in streams (e.g. Poff & Huryn 1998; Thomp-
son, Petty & Grossman 2001). Consequently, there is a
need to develop both theory and modelling tools to
predict the outcome of environmental impacts that
alter habitat structure and prey abundance in streams.
Fish production is the outcome of complex interac-
tions between habitat and prey abundance (Grant,
Steingrimsson, Keeley & Cunjak 1998; Poff & Huryn
1998), and separating their independent effects on
habitat quality is difficult. Stream-rearing salmonids
are exceptional in the simplicity of their foraging mode
feeding on drifting invertebrates while swimming at a
fixed focal point in the water column. Consequently,
bioenergetic and foraging models developed for salmo-
nids can be used to convert the effects of habitat
and prey abundance to estimates of energy intake,
expenditure and, ultimately, growth. This allows direct
Correspondence: Jordan Rosenfeld, B.C. Ministry of the Environment, 2202 Main Mall, Vancouver, BC, Canada V6T 1Z4
(e-mail: [email protected])
Fisheries Management and Ecology, 2009, 16, 202218
doi: 10.1111/j.1365-2400.2009.00656.x 2009 Crown in the right of Canada.
Fisheries Managementand Ecology
-
8/4/2019 Channel Structure and Growth Rate
2/17
quantification of the independent effects of prey abun-
dance (invertebrate drift) and physical habitat (water
depth, velocity, channel cross-section configuration) on
growth rate potential (where growth rate potential
(Brandt, Mason & Patrick 1992) represents density-independent growth, i.e. the maximum growth rate
realised in the absence of competition and predation).
However, the suitability of drift-feeding salmonids as a
model system to understand how habitat and food
jointly control habitat quality depends on how well
bioenergetic foraging models predict actual growth
(Ney 1993). Fortunately, the ability to measure the
growth of individuals experimentally confined to dif-
ferent habitats in natural streams (e.g. Rosenfeld &
Boss 2001; Harvey, White & Nakomoto 2005) allows
testing of bioenergetic models for drift feeding fish in
ways that are extremely difficult for many other taxa(e.g. pelagic fishes or birds).
The size of the organism further modifies the
influence of food and habitat on individual growth
through the complex allometry of metabolism and
habitat relationships (Peters 1983). Most of these
relationships scale non-linearly with organism size,
making it difficult to anticipate precisely how habitat
quality will change with fish size and prey abundance.
However, because the absolute energy requirements of
fish (i.e. prey intake required for basal metabolism and
growth) increase with size, the subset of habitats that
can deliver adequate drift to support growth of larger
fish should be limited in small streams and can be
expected to decrease as fish grow larger (Rincon &
Lobon-Cervia 2002). Similarly, the allometry of growth
should result in a proportionally greater growth
response of smaller fish to prey enrichment.
This study describes and calibrates a bioenergetic
model to predict the growth rate of drift-feeding fish
[juvenile cutthroat trout, Oncorhynchus clarki (Rich-
ardson) and coho salmon, Oncorhynchus kisutch (Wal-
baum)] by comparing observed and modelled growth
of individual fish from experiments in a natural stream
and artificial channels. Modelling scenarios were then
used to assess the effect of independently varying bothprey abundance and habitat structure on growth rate
potential for juvenile trout in a small stream. Specific
objectives were: (1) to determine how quality differs
between habitats that represent the fundamental con-
stituents of stream channels (e.g. pools vs riffles); (2) to
assess how the extent and quality of useable habitat
changes with fish size and whether there are size-
related thresholds in the ability of fish to exploit
habitats; and (3) to determine how physical habitat
and prey abundance jointly limit habitat quality in
small streams by modelling the independent effects of
increasing pool frequency vs increasing prey abun-
dance on growth rate potential for juvenile trout.
Predictions were: (1) that the allometry of increasing
energy requirements as fish grow should reduce both
the extent and the quality of habitat available to largerdrift-feeding fish in small streams (i.e. small trout
should be capable of exploiting habitats with lower
energy intake than larger trout); (2) that both physical
habitat and prey abundance simultaneously limit
habitat quality (growth rate potential) in streams;
and (3) that increasing prey abundance should permit
exploitation of habitats that are bioenergetically
unavailable at lower productivities.
Methods
The structure of the drift-foraging and bioenergeticmodel is presented below, followed by a description of
the experimental growth data used to calibrate it and
the modelling scenarios used to assess food and habitat
effects on fish growth.
Overview of the bioenergetic model
The bioenergetic model used was a modification of an
earlier model for drift-feeding fish (Hughes & Dill
1990; Hughes et al. 2003) that calculates energy intake
based on the volume of water flowing past the focal
point of a fish within its reactive distance to three size-
classes of invertebrate prey. Energy expenditures were
based on the swimming costs experienced by an
individual fish at its focal point and the additional
costs of leaving the focal point to intercept prey. The
net energy left over for growth is simply energy intake
less energy losses and expenditures. The model differs
from many earlier models by including: (1) a relation-
ship that adjusts prey capture success for water
velocity, fish size and distance of prey from the focal
point of the fish (but see Van Winkle, Jager, Railsback,
Holcomb, Studley & Baldrige 1998; Nislow, Folt &
Parrish 1999 and Railsback, Stauffer & Harvey 2003
for similar implementations); (2) a scalar that adjustsenergy expenditures for increased swimming costs
associated with turbulence at higher velocities; and
(3) a correction factor to adjust bioenergetic growth
estimates for any positive bias associated with
increased prey consumption (Bajer, Whitledge, Hay-
ward & Zweifel 2003). These additions improve the
accuracy of model predictions, as described in more
detail below.
Inputs to the bioenergetic model (see Hughes & Dill
1990; Rosenfeld & Boss 2001) are invertebrate drift
concentration (mg m)3 dry weight) for three size
C H A N N EL S T R U C T U R E A N D A L L OM E T R Y O F T R O U T G R O W T H 20 3
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
3/17
classes of invertebrate prey (5.0 mm), fish mass (g wet weight, for metabolic
calculations), water velocity (cm s)1) and depth (cm) at
the focal point of the fish (to model swimming costs),
and depth and velocity at 60% of total depth at 20-cmintervals along a transect through the focal point of the
fish (perpendicular to flow) and along an additional
transect 20 cm upstream of the focal point (to model
energy intake).
Velocity and depth transects were used to estimate
discharge flowing past the focal point of a fish [water
volume per unit time, calculated as the product of
cross-sectional area (CA) and velocity (V)] within a
fishs reactive distance to three size-classes of drifting
prey (Hughes & Dill 1990; see Table 1). Three size-
classes of prey were used because maximum capture
distance (and therefore the volume of water scanned bya drift-feeding fish) increases with prey size. A more
detailed description of the method for calculating the
size of the drift foraging window is presented in
Hughes & Dill (1990). Total energy available to a fish
at a given focal point was calculated by multiplying
total water volume by drift concentration (CONCb,mg m)3) for each size-class of invertebrate. Inverte-
brate biomass was converted to energy content using a
factor of 5200 Cal (21 790 J) g)1 dry weight (Cummins
& Wuycheck 1971).
Within the reactive distance of a fish, capture success
(CS) of prey decreases with increasing current velocity
and lateral distance of prey from the focal point of the
fish, and increases with fish size (Flore, Keckeis &
Schiemer 2001; Grossman et al. 2002). Data from Hill
& Grossman (1993) were used to develop piecewise and
logistic regression models of capture success using
these variables (Table 1; Fig. 1). The piecewise regres-
sion was used because it explained a slightly larger
proportion of the variance in the original data
(R2 = 0.92 for the piecewise regression, R2 = 0.88
for the logistic regression). Energy intake was adjusted
for capture success by multiplying the volume of water
passing within the reactive distance of a fish by the
associated capture success probability (CS, range of01) for each 20-cm interval on either side of a fish s
focal point. Energy intake was then expressed as
EI R3
i1RCAi V CSi CONCb 21790 J g
1
0:6 3600 106 1
Maximum daily consumption (g g)1 d)1) of fish was
calculated according to
MDC 0:303mass0:275 KA KB 2
as described in Hewett & Johnson (1992) with param-
eter values for coho salmon (Stewart & Ibarra 1991;
Table 1).
A modified Holling Disc function (after Hughes
et al. 2003) was used to model the probability of troutmissing prey because of handling effects (i.e. unde-
tected prey drifting past the focal point when trout
were intercepting another prey item). To correct for
this effect at higher prey densities, energy intake
(equation 1 above) for each size class of prey was
multiplied by the scalar HD.
HD 1=1 ER HTi 3
where ER (encounter rate) is the number of prey per
second passing through the reactive window of a fish
and HTi is handling time for a fish striking a prey itemfor each of the three (i) size classes of prey, calculated
after Hayes, Stark & Shearer (2000) as the sum of the
time required to intercept the prey and the time
required to return to the focal point (Table 1).
Swimming costs (inclusive of basal metabolism)
were calculated as an exponential function of fish
weight (g), fork length (cm) and focal velocity accord-
ing to Hughes & Dill (1990)
SC 10CMV 19mass 103 TS 4
based on data for sockeye salmon at 10 C (from Brett
& Glass 1973), where C = 2.070.37 log(length) and
M = 0.0410.0196 log(length) (Hughes & Dill 1990).
This swimming cost function likely underestimates the
true cost of swimming in turbulent flow under natural
conditions because it is based on forced swimming of
fish in laminar flow (Enders, Boisclair & Roy 2003). A
turbulence scalar (TS; Table 1, equation 4; Rosenfeld,
Leiter, Lindner & Rothman 2005) was included to
make swimming cost estimates more realistic by fitting
a positive exponential function to empirical data from
Enders et al. (2003), assuming that variation in velocity
at a focal point was equivalent to 33% of the mean
focal velocity (the average turbulence used by Enderset al. (2003)). Although fish will make use of velocity
refuges to minimise swimming costs and maximise
water volume searched (Hayes & Jowett 1994; Rails-
back & Harvey 2002), the species modelled (juvenile
cutthroat trout and coho salmon) tend to occupy focal
locations in the water column in relatively slow velocity
habitat, rather than holding in velocity refuges closer to
the substrate like species adapted to higher velocity
habitats [e.g. juvenile Atlantic salmon, Salmo salar L.,
and steelhead Oncorhynchus mykiss (Walbaum)].
Including the capture success function and a scalar
J . S . R O S E N F E L D & J . T A Y L O R20 4
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
4/17
Table 1. Relationships and parameter values used in the drift-foraging and bioenergetic model
Parameter Units Value Equation Reference
Energy intake
CS Piecewise regression Estimated from graphical
data in Hill & Grossman
(1993)
if V < 15: CS = 1.02)(0.00634 V))
(0.00135 T)+(FL 0.00074 V))(V 0.0004 d)
if V > 15: CS = 1.04)(0.0131 V))(0.038 d)+
(0.00567 T)+(FL 0.00119 V))
(V 0.00144 d)+(d 0.00478 FL)
if V 15 and V 20 then average of functions
above
Logistic regression
CS eu
1eu , where
u = 1.28)0.0588 V+0.383 FL)0.0918 (d/RD))0.210
V (d/RD)
RD cm 12 Prey length (1)e()0.2 FL)) Hughes & Dill 1990
MCD cm (RD2)(V RD/Vmax)2)0.5 Hughes & Dill 1990
ER prey s)1 ER = CAi V CONCn Hughes 1998
HTi s HTi = (0.5 MCD/Vmax)+(0.5 MCD/(Vopt+Vfocal)) Modified from Hayes
et al. 2000
CONCn prey m)3
Foraging costs
Vmax cm s)1 Vmax = 36.23 FL
0.19 Hughes & Dill 1990
Vopt cm s)1 Vopt = 17.6 weight
0.05 Stewart et al. 1983
Vfocal cm s)1
TS TS = 10 [(0.06 V))0.98]+0.90 Rosenfeld et al. 2005
Metabolic costs
KA KA = (CK1 L1)/(1 + CK1 (L1)1)) Hewett & Johnson (1992)
KB KB = (CK4 L2)/(1 + CK4 (L2)1)) Hewett & Johnson (1992)
L1 L1 = e(G1 (T)CQ)) Hewett & Johnson (1992)
L1 L2 = e(G2 (CTL)T)) Hewett & Johnson (1992)
G1 G1 = (1/(CTO)CQ)) ln((0.98 (1)CK1))/(0.02 CK1) ) Hew ett & Joh nso n ( 1992)
G1 G2 = (1/(CTL)CTM)) ln((0.98 (1)CK4))/(0.02 CK4)) Hewett & Johnson (1992)
CTL 24 Hewett & Johnson (1992)
CTM 18 Hewett & Johnson (1992)
CK4 0.01 Hewett & Johnson (1992)
CTO 15 Hewett & Johnson (1992)
CQ 5 Hewett & Johnson (1992)
CK1 36 Hewett & Johnson (1992)
F F = FA TEMPFB e (FG p) Hewett & Johnson (1992)
U U = UA TEMPUB e(UG p) Hewett & Johnson (1992)
SDA 0.172 Hewett & Johnson (1992)
p EI /MDC Hewett & Johnson (1992)
FA 0.212 Hewett & Johnson (1992)
FB )0.222 Hewett & Johnson (1992)
FG 0.631 Hewett & Johnson (1992)
UA 0.0314 Hewett & Johnson (1992)
UB 0.58 Hewett & Johnson (1992)
UG )0.299 Hewett & Johnson (1992)
Estimation of growth rate
ED J g)1 wet weight ED = (386.7PDM))3632 Hartman & Brandt (1995)
PDM % If FL < 6: PDM = 0.18 Post & Parkinson (2001)
If FL 6 and FL 10 then
PDM = (0.068 + 0.018 FL)
If FL > 10 and FL 16 then
PDM = (0.171 + 0.007 FL)
If FL > 16 then PDM = 0.283
C H A N N EL S T R U C T U R E A N D A L L OM E T R Y O F T R O U T G R O W T H 20 5
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
5/17
for swimming costs in turbulent flow greatly reduced
bioenergetic estimates of growth, particularly in higher
velocity microhabitats; the model produces gross over-
estimates of growth rate if these functions are absent.
Foraging costs were modelled following the method
described in Hayes et al. (2000), where costs of
swimming at maximum speed (Vmax; Table 1) were
experienced for the duration of time required for the
fish to intercept the prey item, and the return speed to
the focal point was assumed to be the optimal
swimming velocity for the fish (Vopt). Maximum speed
during prey attack was multiplied by 0.59 since Hughes
et al. (2003) observed brown trout striking prey at this
average fraction of Vmax. Swimming costs for the
duration of a strike were calculated using bioenergetic
equations from Elliott (1976) for brown trout, Salmo
trutta L. Swimming costs for the attack portion of thestrike were multiplied by a factor of five to account for
the underestimation of active swimming costs by
forced swimming models (Boisclair & Tang 1993;
Hughes & Kelly 1996), as calculated using equation 4.
Costs of egestion (F) and excretion (U) were
calculated according to equations from Hewett &
Johnson (1992, after Elliott 1976) including a correc-
tion for the effects of ration size on F and U with
parameter values for coho (Table 1). Net Energy
Intake (NEI), the energy available for growth, was
calculated as gross energy intake less the costs of
egestion, excretion, specific dynamic action (Jobling
1994) and swimming costs:
NEI GEI1 F1 U SDA SC
Net Energy Intake was converted to growth incre-
ment using a generalised energy (J) to biomass (dry
weight) conversion relationship for the family Salmon-
idae (Hartman & Brandt 1995), where energy density
(ED) of tissue is an increasing function of percent dry
mass (Table 1). As percent dry mass (PDM) of juvenile
salmon increases with fish size (smaller fish have a
higher water content), percent dry mass of body tissue
was estimated using a piecewise regression (Table 1) fit
to data from Post & Parkinson (2001).
Bajer et al. (2003) showed that bioenergetic models
may systematically overestimate growth rates as alinear function of consumption. As consumption
increases, assimilation efficiency should decline (Ursin
1967; Jobling 1994) because of decreased residence time
of food in the gut and there should be associated
changes in the metabolic costs of specific dynamic
action, egestion and excretion (Bajer et al. 2003).
Deviations between actual and modelled growth at
high consumption arise from errors in estimates of
metabolic parameters [possibly because of the limited
range of conditions when originally measured in
laboratory experiments; (Bajer, Hayward, Whitledge
& Zweifel 2004a; Bajer, Whitledge & Hayward 2004b)].
Bajer et al. (2003) recommended regressing growth rateerror (EGR = modelled growth)observed growth) on
consumption to generate a relationship to correct for
this structural error in bioenergetic models when a
positive correlation between model error and consump-
tion is known to exist. This method is a form of model
fitting and should be viewed as a pragmatic approach to
correcting model error until more accurate bioenergetic
parameter estimates are derived (Bajer et al. 2004b).
To determine whether data exhibited a positive
relationship between growth rate error and consump-
tion, the error in modelled growth rate (EGR) was
regressed against consumption (estimated with theforaging model) for both cutthroat trout and coho. A
significant relationship was found for both species, and
therefore used to correct for bias in modelled growth
with increasing consumption as suggested by Bajer
et al. (2003), i.e. EGR was subtracted from modelled
growth to generate predicted growth.
Model calibration
The bioenergetic model was calibrated by comparing
observed and modelled growth of individual fish from
20
40
60
80
100
40
30
20
10
0
0
20
40
60
80
100
0 5 10 15 20
Lateral distance from focal point (cm)
Capturesuccess(%)
7 cm FL
11 cm FL
40
30
20
10
0
Figure 1. Capture success of rainbow trout feeding on invertebrate
drift as a function of lateral distance of prey from the focal point of a
fish, for 7 cm and 11 cm FL rainbow trout at current velocities ranging
from 040 cm s)1 (based on data from Hill & Grossman 1993).
J . S . R O S E N F E L D & J . T A Y L O R20 6
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
6/17
two separate experimental data sets, one for juvenile
cutthroat trout and the other for juvenile coho salmon.
Both species are anadromous, with adults maturing in
the ocean while juveniles rear in streams. The trout
calibration data set was based on observed growthrates of individual young-of-the-year (YOY, 5.0 cm
average FL; n = 8) and yearling and older fish
(13.7 cm average FL; n = 14) confined to discrete
pool or riffle habitats for 2530 days in Husdon Creek
on the Sunshine Coast of British Columbia (Rosenfeld
& Boss 2001). Husdon Creek is a small (3 m bankfull
channel width) coastal stream typical of the habitat
where juvenile anadromous cutthroat trout and coho
rear (combined juvenile salmonid density of 1.1
fish m)2; Rosenfeld, Porter & Parkinson 2000). Day-
time invertebrate drift (referred to as ambient drift in
subsequent modelling) was measured in 15 replicatepool and riffle habitats over 2 days in the middle of the
experiment (Rosenfeld & Boss 2001). Invertebrate drift
as well as microhabitat observations on fish focal point
depth, velocity and cross-sectional area through the
focal point were used as inputs for modelling growth
rate potential of individual fish in pool and riffle
enclosures (see Rosenfeld & Boss (2001) for more
detail). This permitted fitting of the model to observed
growth rates of two size-classes of juvenile trout
occupying different habitat types (pools and riffles) in
a natural stream.
The juvenile coho salmon calibration data set was
based on observed growth rates of dominant fish
reared in experimental stream channels at different
densities (2, 6 and 12 fish m)2; Rosenfeld et al. 2005).
In this experiment, young-of-the-year coho (5.1 cm
average FL; n = 12) were confined to experimental
stream channels and growth was measured along an
experimentally created gradient of natural invertebrate
drift abundance (0.0470.99 mg m)3). Only the growth
rates of dominant fish were modelled in each channel
(n = 12) because of the difficulty in estimating drift
abundance for subdominants (due to upstream prey
consumption). To increase the range of consumption
and growth levels over which the model could bevalidated, growth data from four sub-dominant fish in
the highest density treatments that achieved the lowest
growth in these experiments were included (average
growth of )1.0 0.2% per day; similar to a maxi-
mum daily weight loss for juvenile trout of 1% used in
an earlier bioenergetics model; Clark & Rose 1997).
These sub-dominant fish, which were located down-
stream of at least six to nine conspecifics over a
distance of 50 cm, were assumed to have an effective
energy intake close to zero. It was also assumed that
juvenile cutthroat trout would have similar negative
growth rates at zero energy consumption and these
four data points were included when fitting the
cutthroat trout growth rate errorconsumption rela-
tionship.
Fish were assumed to forage only during the day,based on observations of fish occupying quiescent
microhabitats with low water velocity at night. Noc-
turnal metabolic costs were therefore calculated
assuming a focal velocity of 0 cm s)1 (i.e. basal
metabolism only). Water temperature was fixed at
10 C for all modelling, close to the average temper-
ature in both experiments. Fit of both models was
assessed in terms of the proportion of variance in
observed growth rate explained by modelled growth
(R2 = SStot)SSerror/SStot).
To highlight the potential limitations of correcting
for modelled growth rate error (EGR) based onestimated (as opposed to known) consumption, the
relationship between EGR and consumption was cal-
culated using: (1) dominant coho from all 12 channels;
and (2) a subset of channels (n = 8) that excluded
coho in the lowest density treatment. Behavioural
observations of solitary juvenile coho in the lowest
density treatment (n = 4 channels) indicated that
solitary coho foraged more timidly alone than in the
presence of conspecifics, i.e. generally exhibited greater
refuging behaviour and did not strike prey to the limit
of their reactive distance. Modelled prey consumption
should therefore exceed actual consumption for soli-
tary fish, biasing the model-error consumption regres-
sion and causing an underestimate of corrected
growth.
Model performance was also assessed by compar-
ing predicted growth of YOY at satiation to the
expected range of maximum YOY growth rate for
similar-sized salmonids ($56% per day, e.g. Postet al. 1999) to evaluate whether the EGR correction
with or without solitary fish systematically underes-
timated predicted growth.
Quality of different habitat types as a function
of fish size and prey abundance
Influence of habitat on growth rate potential. Streams
are characterised by discrete habitat types with
different depth and velocity distributions (e.g. pools
and riffles; Petersen & Rabeni 2001). Changes in
growth rate potential along a gradient of increasing
habitat depth (e.g. from riffles to pools) were evaluated
by using habitat-specific velocities and depths as input
parameters to the bioenergetic model. As part of an
earlier study on hydraulic conditions in Husdon Creek,
depth and water velocity (at 60% of total depth) were
C H A N N EL S T R U C T U R E A N D A L L OM E T R Y O F T R O U T G R O W T H 20 7
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
7/17
measured at 20-cm intervals on multiple transects
spaced 20 cm apart in five replicate riffle, run, glide and
pool channel units in Husdon Creek (equivalent to
measuring velocity and depth at the nodes of a 20-cm
square grid superimposed on each habitat unit).Velocity and depths were measured at summer low
flow; channel unit types were differentiated as
described in Rosenfeld et al. (2000). Channel unit
lengths ranged from 1.1 to 9.2 m, with 67435 paired
velocity and depth measurements in each channel unit
(Table 3).
These habitat data and summer low-flow inverte-
brate drift concentrations from Husdon Creek were
used as inputs to the bioenergetic model described
above to calculate growth rate potential at each grid
point in each replicate channel unit. Growth was
modelled separately for YOY (5 cm FL) and yearling(13.7 cm FL) trout. The proportion of channel unit
surface area predicted to generate positive growth
(hereafter referred to as useable foraging habitat) was
calculated, and a mean calculated for each of the four
habitat types (n = 5 replicate channel units for each
habitat type). Average and maximum growth rate
potential were also estimated for each channel unit
(total n = 20) within the subset of area predicted to
generate positive growth (not for the entire habitat
unit, because absolute predictions of energy loss rates
in highly unsuitable habitats (e.g. at V = 60 cm s)1)
could not be validated). Average and maximum
growth rates were then calculated for each habitat
type (n = 5 replicate channel units per type).
The volume of water that flows past the focal point
of a drift-feeding fish is influenced by both water depth
and velocity, so that it is difficult to separate their
independent effects on habitat quality. To understand
how stream depth affects energy intake independent of
velocity, and to test the prediction that smaller fish can
obtain sufficient energy for growth in shallower water
than larger fish, prey consumption for YOY and
yearling trout was modelled along a simulated depth
gradient from 10 to 100 cm. Modelling assumptions
included a constant current velocity of 10 cm s)1
,summer low-flow drift concentration from Husdon
Creek, and an infinitely wide stream channel (i.e. a
foraging window width equal to the full reactive
distance of the fish).
Influence of prey abundance on growth rate
potential. The effect of prey abundance (a correlate
of ecosystem productivity) on habitat quality in
different habitat types was assessed by modelling
growth rate potential for 5 cm and 13.7 cm juvenile
trout over a gradient of increasing drift concentrations
set at 0.25, 0.5, 1, 2, 3, 4 and 5 times the ambient
baseline drift measured in Husdon Creek at summer
low flow during our growth rate experiment, as
described above.
Joint effects of percent pool and prey abundance
on reach-scale habitat quality. To determine the
relative effects on habitat quality of simultaneously
changing habitat and prey abundance at a scale larger
than a single channel unit, virtual stream reaches 20
channel units long were assembled by randomly
selecting pools, riffles, runs and glides from the five
replicates of each that were measured in Husdon Creek.
Habitat units were sampled in frequencies that
generated pool habitat ranging from 10, 25, 40, 55 and
70% of channel area at drift concentrations of 0.25, 0.5,
1, 2, 3, 4 and 5 times the ambient measured in HusdonCreek at summer low flow. The relative proportions of
habitats other than pools were fixed at the natural
frequencies observed in Husdon Creek (glide:run:riffle
ratio of 3:1:8). One thousand randomly assembled
reaches (average length 77 m, average wetted width
1.9 m) were generated for each percent pool and drift
combination for both 5 and 13.7 cm FL juvenile trout.
To assess trends in habitat quality along the drift
(productivity) gradient, reach average growth rate
potential in useable foraging habitat and percent of
habitat area with positive growth were plotted against
drift concentration for each pool frequency. The
independence of habitat and prey abundance effects
on habitat quality was determined by testing for an
interaction between percent pool and drift concentra-
tion.
Results
Correction of growth for consumption
Consistent with the observation of Bajer et al. (2003),
there was a significant positive relationship between
modelled growth rate error and consumption for both
juvenile cutthroat trout (P < 0.002, F1,6 = 25.4) andcoho salmon (P < 0.0001, F1,11 = 237 for all 12
channels, P < 0.002, F1,7 = 29.2 with low density
channels removed; Fig. 2, Table 2). Slopes of the
growth rate errorconsumption relationships (Fig. 2,
Table 2) were similar to those described for perch by
Bajer et al. (2003), as was the observation that the
bioenergetic model systematically overestimated
growth at high consumption and underestimated
growth at low consumption. However, growth rate
error appeared to be negligible at very low prey
consumption, i.e. the model accurately predicted the
J . S . R O S E N F E L D & J . T A Y L O R20 8
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
8/17
negative growth of sub-dominant coho with extremely
low energy intake. Consequently, the growth rate error
data exhibited a curvilinear relationship close to zero
consumption; i.e. linear fits to the data would result in
the unrealistic prediction of positive growth at zeroconsumption. A polynomial regression was therefore
fitted to growth rate error at low consumptions (Fig. 2;
Table 3). Model error was significantly larger (more
negative) for YOY trout than for yearling and older
juveniles (P < 0.0001, F1,19 = 33.7). There was also
no significant relationship between growth rate error
and consumption for yearling and older juvenile trout
(P < 0.13, F1,12 = 2.7; Fig. 2). The minor difference
in mean predicted and observed growth (0.196%,
n = 14) was therefore used to model error correction
for yearling trout.
Including solitary fish from the low density channeltreatment increased the slope of the growth rate error
regression for coho (Fig. 2), indicating that the foraging
model overestimated consumption for solitary fish and
that predicted growth rates using an EGR correction are
sensitive to error in estimated consumption rates.
2
0
2
4
6
8
10
12
14
0 5 10 15 20 25
Growthrateerror(%day1)
Mean daily consumption (%day1)
Figure 2. Relationship between growth rate error (percent of body
weight per day) and mean daily consumption for uncorrected bioen-ergetic model predictions for juvenile cutthroat trout (black line; black
circles YOY; grey circles yearling fish) and coho salmon (open
diamonds. Solid grey line uses data for dominant fish from all stream
channels (n = 12), broken line is with solitary fish excluded ( n = 8);
see Methods for details).
Table 3. Average habitat characteristics (n = 5 replicates) of the channel unit types measured in Husdon Creek and used to assemble reaches
of different pool frequency
Habitat
Mean
area (m2)
Mean
depth (cm)
Maximum
depth (cm)
Mean
velocity
(cm s)1)
Maximum
velocity
(cm s)1)
Maximum
width (m)
Length
(m)
Grid
point
count
Pool 8.7 19.1 43.6 5.7 26.0 3.1 3.6 238
Glide 5.7 12.7 24.8 12.7 34.0 2.0 3.7 156
Run 2.97 10.7 18.8 15.2 42.4 1.5 2.7 86
Riffle 7.7 5.7 14.6 19.5 66.2 2.3 4.3 211
Table 2. Growth rate errorconsumption relationships observed in this study and Bajer et al. (2003)
Species
Weight
range (g)
Growth rate errorconsumption
relationship (%%) R2 Study
Coho salmon 0.62.6 If MDC 2% This study
(and Rosenfeld et al. 2005)EGR = 0.538 MDC)1.17a,b 0.96
EGR = 0.460 MDC)
0.86c
0.83If MDC < 2%
EGR = )0.70 MDC + 0.372
MDC2)0.027 MDC3)0.025
Cutthroat trout 1.22.1 If MDC 2.5% 0.71 This study
(and Rosenfeld & Boss 2001)EGR = 0.487 MDC)2.55
If MDC < 2.5%
EGR = )1.15 MDC + 29.46
MDC2)183.9 MDC3 + 0.00023
1641 EGR = )0.00196
Perch (Wisconsin model) 1830 EGR = 1.05 MDC)1.22 0.84 Bajer et al. 2003
Perch (KarasThoresson model) 1830 EGR = 0.61 MDC)0.88 0.72 Bajer et al. 2003
aAll dominant fish (n = 12).bEGR and MDC in %.cSolitary fish excluded (n = 8).
C H A N N EL S T R U C T U R E A N D A L L OM E T R Y O F T R O U T G R O W T H 20 9
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
9/17
Evaluation of model performance
The bioenergetic model without any form of model
fitting explained 63% of the variance in growth of
juvenile cutthroat trout observed in Husdon Creek
enclosures (for YOY and yearling trout combined,
P < 0.0001, F1,20 = 64; Fig. 3a). When growth rate
was corrected for error associated with consumption
(using parameters and equations listed in Table 2),
the model fit improved considerably (R2 = 0.90,
P < 0.0001, F1,20 = 193; Fig. 3b). The slope of the
regression of observed vs modelled growth was not
significantly different from one (0.954 0.069 SE)
and the intercept was not significantly different fromzero (0.00028 0.00095 SE), indicating minimal
model bias.
Coho growth modelled over a larger range of prey
abundance did not fit the observed data as well as for
trout (Fig. 4a), although correcting growth rate
for consumption improved the model fit (Fig. 4b;
R2 = 0.42, P = 0.017, F1,10 = 8.2; R2 = 0.53,
P = 0.009, F1,9 = 10.9 with the single negative
growth outlier point in Fig. 4b removed). The slope
and intercept of the regression of observed on mod-
elled growth also approximated one and zero respec-
tively (0.80 0.24 SE for slope; 0.36 0.33 SE for
intercept).
Another criteria for effective model performance,
and in particular application of the EGR correction,
was whether maximum predicted growth rates were
realistic at prey availabilities greatly in excess of the
calibration data (e.g. ambient drift in Husdon Creek).
Maximum bioenergetic model predictions for YOY
growth at satiation were 5.8% for cutthroat trout at a
fork length of 5 cm in model simulations where
invertebrate drift was increased to very high concen-
trations (i.e. satiation). This is in the expected range for
maximum growth of YOY salmonids observed in the
wild (e.g. 56%; Post et al. 1999). Maximum bioener-
getic model predictions of YOY growth at satiation for5-cm coho were 3.1% with the EGR correction includ-
ing solitary fish and 4.7% using the EGR correction
excluded solitary fish; this is consistent with the
expectation of lower predicted growth rates with an
EGR correction based on overestimated consumption.
Influence of habitat on growth rate potential
For smaller fish, simulated energy intake along a
gradient of increasing depth asymptoted at approxi-
mately 60 cm (Fig. 5), as the increase in water volume
1.5
0.5
0.5
1.5
2.5
3.5
0 5 10 15
Fish length (cm)
Dailygrowth(%)
0.5
0.5
1.5
2.5
3.5
4.5(a)
(b)1.0
Figure 3. Observed growth (open circles) and model estimates of
daily growth (filled circles) for YOY (average 5 cm FL) and yearling
(average 13.7 cm FL) coastal cutthroat trout from Husdon Creek (data
from Rosenfeld & Boss 2001). Panel (a) shows unadjusted bioenergetic
model predictions; panel (b) shows bioenergetic model predictions
adjusted for systematic error associated with consumption.
1
0
1
2
3
4
0 0.4 0.8 1.2
Total drift concentration (mgm3)
Growth(%d
ay1)
0
2
4
6
8
10(a)
(b)
Figure 4. Observed growth (open circles) and bioenergetic model
estimates of growth (filled circles) for juvenile coho salmon trout feeding
over a gradient of natural drift abundance in experimental stream
channels (data from Rosenfeld et al. 2005). Panel (a) shows unadjusted
bioenergetic model predictions; panel (b) shows bioenergetic model
predictions adjusted for systematic error associated with consumption.
J . S . R O S E N F E L D & J . T A Y L O R21 0
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
10/17
scanned for drift becomes limited by reactive distance
to prey rather than stream depth. By contrast, energy
intake for larger trout continued to increase with depth
because of their greater reactive distance. Yearling
trout were predicted to have a threshold depth of
17 cm below which energy intake was insufficient for
positive growth at ambient drift concentrations.
The distribution of growth rate potential in Husdon
Creek showed a similar pattern, with the highest
average and maximum predicted growth rate potential
in pool habitats and the lowest in riffles for both sizes
of trout (Fig. 6a, b); the proportion of habitat with
positive growth rate potential was also highest in pools
(Fig. 6c, d). Similarly, the proportion of a channel unit
with positive growth and average growth rate potential
both were increasing functions of average channel unit
depth for both YOY and older fish (Fig. 7). Young-of-
the-year were predicted to be able to use approximately
90% of a channel unit area at average depths in excess
of 1520 cm (Fig. 7). For yearling trout, there appears
to be a threshold average channel unit depth of 7.5 cmbelow which there are negligible microhabitats suitable
for growth, with the proportion of suitable habitat
increasing linearly with depth beyond this threshold
(Fig. 7).
Influence of increasing prey abundance on growth
rate potential
The extent of habitat predicted to generate positive
growth was sensitive to prey abundance. As prey
abundance increased, absolute increases in the propor-
tion of habitat suitable for growth tended to be higher
for yearling than YOY trout because more habitat was
suitable for YOY at all productivities (Fig. 6). The rate
of change in suitable habitat was steepest at drift
concentrations at or below the ambient observed in
Husdon Creek (i.e. the baseline level observed at
summer low flow), indicating that the extent of suitablehabitat is most sensitive to incremental changes in drift
at low productivities. The proportion of riffle habitat
suitable for growth of yearling trout was negligible at
or below ambient drift concentrations (Fig. 6d), indi-
cating that productivity-related thresholds are first
reached in shallower habitats and progressively deeper
habitats become energetic sinks as prey abundance
declines. Consequently, most of the useable habitat for
yearling trout is in pools at lower drift levels (Fig. 6d),
consistent with empirical observations (e.g. Rosenfeld
& Boss 2001).
0
50
100
150
200
250
300
0 10 20 30 40 50 60 70 80 90 100
Depth (cm)
GrossenergyIntake(Jh1)
Figure 5. Modelled estimates of gross energy intake (J h)1) for YOY
(filled circles) and yearling (open circles) cutthroat trout across a
gradient of increasing channel depth at a fixed current velocity of
10 cm s)1.
1
2
3
4
5
6(a) (b)
(c) (d)
Drift concentration (as multiples of ambient)
Growthratepotential
(%day1)
0
0.2
0.4
0.6
0.8
0 1 2 3 4 1 2 3 4 5
Proportionof
habitatwith
positivegrowth
ratepotential
5
0
Figure 6. Average and maximum modelled growth rate potential for
YOY (open circles) and yearling (filled circles) cutthroat trout in (a) pool
and (b) riffle channel units along a gradient of drift concentrations
(expressed as multiples of the ambient concentration measured in Hus-
don Creek at summer low-flow). Each point represents modelled meanvalues from 5 replicate channel units. The lower two panels (c and d)
illustrate increases in the average proportion of different habitat types
(pools black circles; glides white circles; runs grey circles; riffles
open diamonds) that generate positive growth rate potential for (c) YOY
or (d) yearling trout along a productivity gradient of increasing drift.
C H A N N EL S T R U C T U R E A N D A L L OM E T R Y O F T R O U T G R O W T H 21 1
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
11/17
Modelled growth rate potential increased steeply
with elevated drift in both pools and riffles. Growth
rates of 13.7 cm FL trout were a linear function of drift
concentration (Fig. 6) because yearling trout were
below satiation at all drift levels. Maximum growth
rates of YOY plateaued at 5.8% per day at a drift
concentration of three to four times ambient in pool
habitat, although mean growth continued to increase
along the productivity gradient in both pools and riffles.
Growth rate also appeared to be most sensitive to
incremental increases in prey abundance at very lowproductivities. The steepest change in modelled growth
for YOY and yearling trout was at low drift concen-
trations, particularly in riffle habitats, which were
predicted to be unusable for yearling trout and marginal
for YOY growth at drift concentrations below ambient.
Joint effects of pool frequency and prey abundance
on reach-scale habitat quality
Simulations of reach-scale habitat quality showed
that increasing either the frequency of pools or drift
concentrations lead to systematic increases in average
growth rate potential (Fig. 8) and useable foraging
habitat (Fig. 9). Different combinations of pool fre-
quency and prey abundance are predicted to generate
similar reach-average habitat qualities. For example,
if a channel with only 10% pool habitat is interpreted
as degraded (Montgomery, Buffington, Smith,
Schmidt & Pess 1995; Johnston & Slaney 1996), then
increasing either pool frequency to 65% of wetted
area or tripling prey abundance will achieve similar
increases in reach-average growth rate potential
within useable habitat (Fig. 8, dotted line). However,
effects are not entirely substitutable, as increases in
pool area generally result in a greater incremental
increase in useable habitat than increases in prey
abundance.Incremental effects of prey enrichment on reach-
scale habitat quality are also greatest at low produc-
tivities (Figs 8 & 9). Increases in relative growth rate
are generally higher for YOY than yearling trout,
although the proportion of useable habitat plateaued
with increasing prey abundance for YOY but not older
fish (Fig. 9). A significant positive interaction between
percent pool and drift concentration on growth rate
potential (F1,34 = 17.8, P < 0.0002 for YOY,
F1,26 = 63.1, P < 0.0001 for 15 cm trout) indicated
that that the effects of habitat are synergistic with food
0
0.2
0.4
0.6
0.8
1(a)
(b)
Proportionofhabitatwith
positivegrowthrate
potential
0
0.5
1
1.5
2
0 5 10 15 20 25 30
Growthra
tepotential
(%day1)
Mean habitat unit depth (cm)
Figure 7. Proportion of habitat predicted to have positive growth
rate potential (a) and average channel unit growth rate potential (b) as a
function of mean channel unit depth for YOY (gray lines) and yearling
trout (black lines). Habitats in order of increasing depth are riffles (open
circles), runs (grey squares), glides (open triangles) and pools (black
circles).
1.0
2.0
3.0
0.0
0 1 2 3 4 5
Averagepositivegrowthratepotential
(%day1)
0.0
YOY trout (5 cm)
1+ trout (13.7 cm)
Drift concentration (as multiples of ambient)
0.5
0. 0
1. 0
Figure 8. Reach-average growth rate potential for virtual reaches of
randomly selected channel units varying in proportion of pool habitatover a gradient of drift abundance (expressed as multiples of summer
low-flow drift concentrations in Husdon Creek) for YOY and yearling
trout. Solid circles are 10% pool, open circles are 25% pool, filled
squares and solid line are 40% pool (the average in Husdon Creek),
diamonds are 55% pool and squares are 70% pool habitat. Error bars
are omitted for clarity. The horizontal dotted line indicates the equiv-
alent effects on average growth rate potential (in useable habitat) of
tripling prey abundance in a reach with 10% pool vs increasing percent
pool from 10 to 65% in a stream with ambient drift levels.
J . S . R O S E N F E L D & J . T A Y L O R21 2
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
12/17
resources, i.e. effects of increasing prey are greatest
when pools are abundant.
Discussion
Allometry and habitat quality for drift-feeding fish
Experiments and modelling demonstrated that physi-
cal habitat and prey abundance jointly limit growth of
drift-feeding fish through their concurrent effects on
energy intake. Drift concentration directly influences
prey encounter rate, while the velocity and depth
profile through the focal point of a fish determinescapture success and the volume of water searched for
prey. Changes in either habitat structure or drift
concentration can therefore be expected to simulta-
neously influence capacity of individual habitats or
entire streams.
Contrasting stream habitat types can be characteri-
sed in terms of both habitat quality (realised growth
rate potential in useable habitat) and habitat quantity
(area of habitat with positive growth rate potential, i.e.
useable foraging habitat for drift-feeding). Consistent
with expectations, average modelled growth rate
potential in the constituent habitat types of Husdon
Creek (pools, glides, runs and riffles) at low flow was
an increasing function of channel unit depth, as was
the proportion of each habitat type with positive
growth. This is consistent with numerous observationsof habitat use by drift-feeding fishes (e.g. Heggenes,
Northcote & Peter 1991), and indicates that higher
predicted energy intake in deeper habitats is sufficient
to account for differential use of pools, irrespective of
other demonstrated functions of pool habitat, such as
refuge from predation (Power 1984; Lonzarich &
Quinn 1995) or scouring flows (Quinn & Peterson
1996; Solazzi, Nickleson, Johnson & Rodgers 2000).
Modelling indicates that allometric changes in
absolute energy requirement also impose size-specific
constraints on habitat use. Smaller energy require-
ments allow YOY fish to achieve positive growth inshallow habitats that provide inadequate ration to
support larger trout at summer low flow, while growth
of yearling cutthroat under summer low flow condi-
tions was possible only in deeper pool habitat.
Although the results apply most directly to juvenile
salmonids, the general limitation of energy intake by
channel dimensions provides a clear mechanism not
only for preference of pool habitat but also for
downstream migration to deeper habitat as fish grow.
Based on optimal foraging theory, Bachman (1982)
(building on work by Kerr 1971) proposed that drift
abundance would limit fish growth and maximum size.
While bioenergetic modelling demonstrated this to be
true, energy intake and fish growth was also shown to
be limited by physical habitat dimensions when chan-
nel depth is less than the reactive distance of a fish a
common circumstance in small streams where maxi-
mum reactive distances range from 4580 cm, depend-
ing on fish and prey size (Hughes & Dill 1990).
Maintaining growth once channel dimensions con-
strain the drift-foraging window therefore requires
migration to deeper habitat, habitat with a higher drift
concentration, or habitat that supports a shift to
piscivory (Keeley & Grant 2001).
The allometry of energy requirement and swimmingperformance should also affect longitudinal trends in
habitat use along the River Continuum that result in
peak abundance of juvenile salmon in lower-order
streams (Mundie 1974; Rosenfeld et al. 2000). Small
physically complex streams in low-gradient landscapes
have lower velocities, so that a relatively high propor-
tion of habitat is within the performance capacity of
small fish while delivering sufficient energy for growth.
As streams increase in average depth and velocity
along a downstream continuum (Leopold & Maddock
1953; Rosenfeld, Post, Robins & Hatfield 2007), a
0
0.2
0.4
0.6
0.8
0
0.2
0.4
0.6
0.8
0 1 2 3 4 5
ProportionofhabitatwithpositiveGRP
YOY trout (5 cm)
1+ trout (13.7 cm)
Drift concentration (as multiples of ambient)
Figure 9. Proportion of reach area with positive growth rate potential
for YOY and yearling trout over a gradient of drift concentration for
randomly assembled reaches varying in the proportion of pool habitat.
Symbol values as indicated in Figure 8 caption.
C H A N N EL S T R U C T U R E A N D A L L OM E T R Y O F T R O U T G R O W T H 21 3
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
13/17
relatively higher proportion of habitat will be outside
of the performance capacity of small fish (e.g. YOY),
but a higher proportion should deliver sufficient prey
for growth of larger trout. As channel size and velocity
increase further, the relative proportion of habitatwithin the performance range of both YOY and
yearling trout should decline, leading to the expecta-
tion that channel-average densities of juvenile salmo-
nids should peak in smaller streams (Murphy, Heifetz,
Johnson, Koski & Thedinga 1986; Rosenfeld et al.
2000; Rosenfeld et al. 2007).
Effects of prey enrichment on habitat quality
Habitat use by drift-feeding fish is driven by the
allometry of swimming abilities as much as energy
requirement. Area of suitable drift-foraging habitatfor YOY did not appreciably increase beyond a
doubling of ambient drift concentration (Fig. 9),
indicating that as productivity increases, the distri-
bution of suitable habitat for YOY fish becomes
rapidly limited by swimming performance (inability
to use fast water habitat), rather than energy intake.
Further response to enrichment is through increased
growth rate potential in suitable habitat with minimal
increase in area occupied. By contrast, both growth
rate potential and area of usable habitat for larger
trout continue to increase along a drift concentration
gradient, indicating that distribution of older juvenile
trout in Husdon Creek was primarily limited by
energy intake rather than swimming performance.
However, increases in mass-specific growth rates were
much higher for YOY suggesting that smaller fish are
more likely to benefit from prey enrichment in small
streams (unless there is significant piscivory by
yearling trout).
Modelling also indicated that incremental changes in
prey abundance should have the largest impact in
oligotrophic streams. Similarly, as deep habitats are
the only ones that generate positive growth at low
productivity, incremental loss or restoration of deeper
pool habitat should also have the largest relative effectin oligotrophic streams. Implications for wild popula-
tions are that growth of juvenile salmonids will be
highly sensitive to natural seasonal and spatial varia-
tion in prey abundance as well as loss of deeper pool
habitat, particularly in low productivity systems (cf.
Grant et al. 1998).
Simulations suggested that similar target levels of
habitat quality can be achieved by increasing either
pool frequency or invertebrate drift. Implications for
habitat restoration are that increases in pool frequency
or prey abundance may be substitutable in terms of
their effects on habitat quality. While increased prey
alone permits exploitation of habitats that are bio-
energetically unavailable at lower productivities, simul-
taneously increasing drift and pool frequency is
predicted to be most effective at improving habitatquality, i.e. effects are predicted to be synergistic rather
than additive. However, the cost of instream rehabil-
itation measures (e.g. log or boulder placement to
increase pool frequency) may be much higher than
nutrient or salmon carcass addition, so enrichment
may be an appealing approach if funds are limited.
This inference must be tempered by consideration of
the additional functions performed by pools (e.g. cover
from predators, hydraulic refuges) that are not substi-
tutable through enrichment of shallow habitats.
Degraded channel structure (e.g. absence of large
woody debris and associated pools) will continue todepress habitat quality under enrichment and recovery
of natural riparian and watershed processes to increase
LWD inputs and natural pool-forming processes is
essential for restoring pre-impact capacity (Beechie &
Bolton 1999).
Model evaluation
Inclusion of key ecological processes absent in many
models resulted in more accurate growth estimates.
The most important of these is the capture success
function (derived from Hill & Grossman 1993), which
accounted for variation in prey capture as a function of
current velocity, fish size and distance of prey from the
focal point of the fish. This function greatly reduced
modelled energy intake, which is otherwise over-
estimated by a factor of two or more if fish are
assumed to consume all prey within their reactive
distance (Hughes et al. 2003; Piccolo, Hughes &
Bryant 2008a,b). Grossman et al. (2002) made a strong
case that the primary ecological factor limiting exploi-
tation of fast-water habitats was decreasing prey
capture success at higher water velocities, rather than
increased swimming costs. However, swimming costs
may rise more quickly with velocity than previouslythought because forced-swimming respiration models
that assume laminar flow underestimate the true costs
of swimming in turbulent water (Enders et al. 2003;
but see Nikora, Aberle, Biggs, Jowett & Sykes 2003 for
contrasting evidence). Regardless, inclusion of both
capture success functions (e.g. Van Winkle et al. 1998;
Nislow et al. 2000; Railsback & Harvey 2002) and
realistic swimming cost relationships are essential to
accurately model differential changes in energy intake
and expenditure along velocity gradients (Piccolo et al.
2008a).
J . S . R O S E N F E L D & J . T A Y L O R21 4
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
14/17
The second key feature that contributed to a better
fit was correction for model error associated with prey
consumption as recommended by Bajer et al. (2003).
Systematic errors in estimated consumption from the
foraging submodel (from inaccuracies in the foragingmodel or error in estimated drift biomass) may also
have influenced either the slope or intercept of the
EGRconsumption relationship. However, the general
similarity of relationships from this study to those
observed by Bajer et al. (2003) suggested that the EGR
consumption relationship is primarily driven by errors
in metabolic parameter estimates rather than errors in
estimated consumption, and that the foraging model
does a reasonably good job of representing energy
intake and how it changes with habitat. Nevertheless,
inclusion of the model errorconsumption correction
factor represents a form of model fitting and the EGRcorrection applied in this study should not be viewed
as directly transferable to other species or populations
in different streams.
The application of bioenergetics to evaluate habitat
quality as presented in this study needs to be tempered
by several additional considerations. First, the effects
of predation risk were ignored. Predation risk alters
habitat use because fish trade off predation risk with
the need to grow sufficiently to survive and reproduce
(e.g. Fraser & Cerri 1982; Harvey 1991). Although
predation risk affects habitat quality, it remains useful
first to understand the effect of habitat on growth rate
independent of predation risk. Predation risk can then
be treated as an additional habitat attribute that
further modifies habitat quality based on survival,
which can be combined with growth rate potential to
generate an index of habitat quality that better reflects
fitness [e.g. the ratio of mortality risk to growth
(Gilliam & Fraser 1987; Bradford & Higgins 2001) or
the probability of a fish surviving to reproduce
(Railsback & Harvey 2002)].
Second, habitat quality was modelled as density-
independent growth rate potential, i.e. the growth that a
fish would realise in the absence of competition. Because
drift-feeding fish can locally deplete drifting prey (Leu-ng, Rosenfeld & Bernhardt 2009), this likely overesti-
mates growth in the presence of conspecifics (Hughes
1992). Although accounting for local prey depletion
would reduce estimates of growth rate potential, it
would be unlikely to alter the general conclusions or the
relative ranking of habitats in terms of quality. How-
ever, habitat capacity models based on drift-foraging
bioenergetics need to account for depletion and diffu-
sion dynamics of invertebrate drift (e.g. Hughes 1992) to
realistically predict fish abundance (e.g. Railsback &
Harvey 2002; Hayes, Hughes & Kelly 2007).
Finally, it is implicitly assumed that drift concen-
tration is independent of channel structure (e.g. the
proportion of pool or riffle habitat in a reach).
Changing the relative proportion of pool and riffle
habitat in a stream channel (as a modelling exercise, orthrough habitat restoration) will affect reach-scale
production of invertebrate drift as well as the distri-
bution of available habitat for fish. How the length,
frequency and juxtaposition of different channel units
affect the production and depletion of invertebrate
prey by drift-feeding fish is an area that demands
further consideration to assess their relevance to
instream production and restoration goals (Mundie
1974; Poff & Huryn 1998; Leung et al. 2009).
Despite these caveats, bioenergetic modelling is a
viable approach for assessing habitat quality for drift-
feeding fish (Nislow et al. 2000; Railsback & Harvey2002; Hayes et al. 2007). In combination with drift-
foraging models, bioenergetics provide an approach
for predicting the independent effects of prey abun-
dance and habitat structure on fish growth and
highlights the need to better understand how drift
abundance varies through space and time to influence
productive capacity. Bioenergetics also provides a
framework for understanding how the allometry of
energy requirements and metabolic costs, superim-
posed on the physical habitat template in streams,
jointly determine the distribution of useable habitat for
drift-feeding fish.
Acknowledgments
We would like to thank Shelly Boss, Taja Lee, Thomas
Leiter, Gerhard Lindner, Bob Little, Brent Matsuda,
Marc Porter and Michelle Roberge for assistance with
data collection and Dave Bates for help with site
selection and logistics. We also thank Cliff Kraft, Eric
Parkinson and Tom Johnston for reviewing an earlier
version of this manuscript. Funding for this research
was partially provided by Forest Renewal B.C., the
Habitat Conservation Trust Fund and Bugs Unlim-
ited. A spreadsheet version of the bioenergetic model isavailable on request from JSR.
References
Bachman R.A. (1982) A growth model for drift-feeding sal-
monids: a selective pressure for migration. In: E.L. Bran-
non & E.O. Salo (eds) Proceedings of the Salmon and Trout
Migratory Behaviour Symposium. Seattle, WA: University
of Washington Press, pp. 128135.
Bajer P.G., Whitledge G.W., Hayward R.S. & Zweifel R.D.
(2003) Laboratory evaluation of two bioenergetics models
C H A N N EL S T R U C T U R E A N D A L L OM E T R Y O F T R O U T G R O W T H 21 5
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
15/17
applied to yellow perch: identification of a major source of
systematic error. Journal of Fish Biology 62, 436454.
Bajer P.G., Hayward R.S., Whitledge G.W. & Zweifel R.D.
(2004a) Simultaneous identification and correction of
systematic error in bioenergetics models: demonstrationwith a white crappie (Pomoxis annularis) model.
Canadian Journal of Fisheries and Aquatic Sciences 61,
21682182.
Bajer P.G., Whitledge G.W. & Hayward R.S. (2004b)
Widespread consumption-dependent systematic error in
fish bioenergetics models and its implications. Canadian
Journal of Fisheries and Aquatic Sciences 61, 2158
2167.
Beechie T.J. & Bolton S. (1999) An approach to restoring
salmonid habitat-forming processes in Pacific Northwest
watersheds. Fisheries 24(4), 615.
Boisclair D. & Tang M. (1993) Empirical analysis of theinfluence of swimming pattern on the net energetic
cost of swimming in fishes. Journal of Fish Biology 42,
169183.
Bradford M.J. & Higgins P.S. (2001) Habitat-, season-, and
size-specific variation in diel activity patterns of juvenile
chinook salmon (Oncorhynchus tshawytscha) and steelhead
trout (Oncorhynchus mykiss). Canadian Journal of Fisheries
and Aquatic Sciences 58, 365374.
Brandt S.B., Mason D.M. & Patrick E.V. (1992) Spatially-
explicit models of fish growth rate. Fisheries 17(2), 2335.
Brett J.R. & Glass N.R. (1973) Metabolic rates and critical
swimming speeds of sockeye salmon (Oncorhynchus nerka)
in relation to size and temperature. Journal of the Fisheries
Research board of Canada 30, 379387.
Clark M. & Rose K.A. (1997) Individual-based model of
stream-resident brook trout and brook char: model
description, corroboration, and effects of sympatry
and spawning season duration. Ecological Modelling 94,
157175.
Cummins K.W. & Wuycheck J.C. (1971) Caloric equivalents
for investigations in ecological energetics. Mitteilungen
Internationale Vereinigung fur Theoretische und angewandte
Limnologie 18, 1158.
Elliott J.M. (1976) The energetics of feeding, metabolism and
growth of brown trout (Salmo trutta L.) in relation to bodyweight, water temperature and ration size. Journal of
Animal Ecology 45, 923948.
Enders E.C., Boisclair D. & Roy A.G. (2003) The effect of
turbulence on the cost of swimming for juvenile Atlantic
salmon (Salmo salar). Canadian Journal of Fisheries and
Aquatic Sciences 60, 11491160.
Flore L., Keckeis H. & Schiemer F. (2001) Feeding, energetic
benefit and swimming capabilities of 0+ nase (Chondros-
toma nasus L.) in flowing water: and integrative laboratory
approach. Archive fur Hydrobiologie Supplement 135,
409424.
Fraser D.F. & Cerri R.D. (1982) Experimental evaluation of
predator-prey relationships in a patchy environment:
consequences for habitat use patterns in minnows. Ecology
63, 307313.
Gilliam J.F. & Fraser D.F. (1987) Habitat selection underpredation hazard: test of a model with foraging minnows.
Ecology 68, 18561862.
Grant J.W.A., Steingrimsson S.O., Keeley E.R. & Cunjak
R.A. (1998) Implications of territory size for the mea-
surement and prediction of salmonid abundance in
streams. Canadian Journal of Fisheries and Aquatic
Sciences 55(Suppl. 1), 181190.
Grossman G., Rincon P.A., Farr M.D. & Ratajczak R.E.
(2002) A new optimal foraging model predicts habitat use
by drift-feeding stream minnows. Ecology of Freshwater
Fish 11, 210.
Guensch G.R., Hardy T.B. & Addley R.C. (2001) Examiningfeeding strategies and position choice of drift-feeding sal-
monids using and individual-based, mechanistic foraging
model. Canadian Journal of Fisheries and Aquatic Sciences
58, 446457.
Hartman K.J. & Brandt S.B. (1995) Estimating energy den-
sity of fish. Transactions of the American Fisheries Society
124, 347355.
Harvey B.C. (1991) Interactions among stream fishes: pred-
ator-induced habitat shifts and larval survival. Oecologia
87, 2936.
Harvey B.C., White J.L. & Nakomoto R.J. (2005) Habitat-
specific biomass, survival, and growth of rainbow trout
(Oncorhynchus mykiss) during summer in a small coastal
stream. Canadian Journal of Fisheries and Aquatic Sciences
62, 650658.
Hayes J.W. & Jowett I.G. (1994) Microhabitat use by large
brown trout in three New Zealand rivers. North American
Journal of Fisheries Management 14, 710725.
Hayes J.W., Stark J.D. & Shearer K.A. (2000) Develop-
ment and test of a whole-lifetime foraging and bioener-
getics growth model for drift-feeding brown trout.
Transactions of the American Fisheries Society 129, 315
332.
Hayes J.W., Hughes N.F. & Kelly L.H. (2007) Process-based
modelling of invertebrate drift transport, net energy intakeand reach carrying capacity for drift-feeding salmonids.
Ecological Modelling 207, 171178.
Heggenes J., Northcote T.G. & Peter A. (1991) Seasonal
habitat selection and preferences by cutthroat trout
(Oncorhynchus clarki) in a small, coastal stream. Cana-
dian Journal of Fisheries and Aquatic Sciences 48, 1364
1370.
Hewett S.W. & Johnson B.L. (1992) A Generalized Bioener-
getics Model of Fish Growth for Microcomputer. Technical
ReportWIS-SG-92-250. Madison, WI: University of Wis-
consin Sea Grant Program, 79 pp.
J . S . R O S E N F E L D & J . T A Y L O R21 6
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
16/17
Hill J. & Grossman G. (1993) An energetic model of
microhabitat use for rainbow trout and rosyside dace.
Ecology 74, 685698.
Hughes N.F. (1992) Selection of positions by drift-feeding
salmonids in dominance hierarchies: model and tests forarctic grayling (Thymallus arcticus) in subarctic mountain
streams, interior Alaska. Canadian Journal of Fisheries and
Aquatic Sciences 49, 19992008.
Hughes N.F. & Dill L.M. (1990) Position choice by drift-
feeding salmonids: model and test for arctic grayling
(Thymallus arcticus) in subarctic mountain streams, inte-
rior Alaska. Canadian Journal of Fisheries and Aquatic
Sciences 47, 20392048.
Hughes N.F. & Kelly L.H. (1996) A hydrodynamic model
for estimating the energetic cost of swimming maneuvers
from a description of their geometry and dynamics.
Canadian Journal of Fisheries and Aquatic Sciences 53,24842493.
Hughes N.F. (1998) A model of habitat selection by drift-
feeding stream salmonids at different scales. Ecology 89,
281294.
Hughes N.F., Hayes J.W., Shearer K.A. & Young R.G.
(2003) Testing a model of drift-feeding using three-
dimensional videography of wild brown trout, Salmo tru-
tta, in a New Zealand river. Canadian Journal of Fisheries
and Aquatic Sciences 60, 14621476.
Jobling M. (1994) Fish Bioenergetics. London: Chapman and
Hall, 309 pp.
Johnston N.T. & Slaney P.A. (1996) Fish Habitat Assessment
Procedure. Watershed Restoration Technical Circular No.
8. Victoria, Canada: Queens Printer, 95 pp.
Keeley E.R. & Grant J.W.A. (2001) Prey size of salmnoid
fishes in streams, lakes, and oceans. Canadian Journal of
Fisheries and Aquatic Sciences 58, 11221132.
Kerr S.R. (1971) Prediction of growth efficiency in nature.
Journal of the Fisheries Research Board of Canada 28, 809
814.
Leopold L.B. & Maddock T. (1953) The Hydraulic Geometry
of Stream Channels and some Physiographic Implications.
U.S.G.S. Prof. Paper No. 252. Washington, DC: U.S.G.S.,
56 pp.
Leung E., Rosenfeld J. & Bernhardt J. (2009) Habitateffects on invertebrate drift in a small trout stream:
implications for prey availability to drift-feeding fish.
Hydrobiologia 623, 113125.
Lonzarich D.G. & Quinn T.P. (1995) Experimental evidence
for the effect of depth and structure on the distribution,
growth, and survival of fishes. Canadian Journal of Zool-
ogy 73, 22232230.
Montgomery D.R., Buffington J.M., Smith R.D., Schmidt
K.M. & Pess G. (1995) Pool spacing in forest channels.
Water Resources Research 31, 10971105.
Mundie J.H. (1974) Optimization of the salmonid nursery
stream. Journal of the Fisheries Research Board of Canada
31, 18271837.
Murphy M.L., Heifetz J., Johnson S.W., Koski K.V. &
Thedinga J.F. (1986) Effects of clear-cut logging with andwithout buffer strips on juvenile salmonids in Alaskan
stream. Canadian Journal of Fisheries and Aquatic Sciences
43, 15211533.
Ney J.J. (1993) Bioenergetics modelling today: growing pain
on the cutting edge. Transactions of the American Fisheries
Society 122, 736748.
Nikora V.I., Aberle J., Biggs B.J.F., Jowett I.G. & Sykes
J.R.E. (2003) Effects of fish size, time-to-fatigue, and tur-
bulence on swimming performance: a case study of Gal-
axias maculatus. Journal of Fish Biology 63, 13651382.
Nislow K.H., Folt C.L. & Parrish D.L. (1999) Favorable
foraging locations for young Atlantic salmon: applicationto habitat and population restoration. Ecological Appli-
cations 9, 10851099.
Nislow K.H., Folt C.L. & Parrish D.L. (2000) Spatially
explicit bioenergetic analysis of habitat quality for age-0
Atlantic salmon. Transactions of the American Fisheries
Society 129, 10671081.
Peters R.H. (1983) The Ecological Implications of Body Size.
Cambridge: Cambridge University Press, 345 pp.
Petersen J.T. & Rabeni C.F. (2001) Evaluating the physical
characteristics of channel units in an Ozark stream.
Transactions of the American Fisheries Society 130,
898910.
Piccolo J.J., Hughes N.F. & Bryant M.D. (2008a) Develop-
ment of net energy intake models for drift-feeding juvenile
coho salmon and steelhead. Environmental Biology of Fish
83, 259267.
Piccolo J.J., Hughes N.F. & Bryant M.D. (2008b) Water
velocity influences prey detection and capture by drift-
feeding juvenile coho salmon (Oncorhynchus kisutch) and
steelhead (Oncorhynchus mykiss irideus). Canadian Journal
of Fisheries and Aquatic Sciences 65, 266275.
Poff N.L. & Huryn A.D. (1998) Multi-scale determinants of
secondary production in Atlantic salmon (Salmo salar)
streams. Canadian Journal of Fisheries and Aquatic Sci-
ences 55(Suppl. 1), 201217.Post J.R. & Parkinson E.A. (2001) Energy allocation strategy
in young fish: allometry and survival. Ecology 82,
10401051.
Post J.R., Parkinson E.A. & Johnston N.T. (1999) Density-
dependent processes in structured fish populations: inter-
action strengths in whole-lake experiments. Ecological
Monographs 69, 155175.
Power M.E. (1984) Depth distributions of armoured catfish:
predator induced resource avoidance? Ecology 65,
523528.
C H A N N EL S T R U C T U R E A N D A L L OM E T R Y O F T R O U T G R O W T H 21 7
2009 Crown in the right of Canada.
-
8/4/2019 Channel Structure and Growth Rate
17/17
Quinn T.P. & Peterson N.P. (1996) The influence of habitat
complexity and fish size on overwinter survival and growth
of individually marked juvenile coho salmon (Oncorhyn-
chus kisutch) in Big Beef Creek, Washington. Canadian
Journal of Fisheries and Aquatic Sciences 53, 15551564.Railsback S.F. & Harvey B.C. (2002) Analysis of habitat-
selection rules using an individual-based model. Ecology
83, 18171830.
Railsback S.F., Stauffer H.B. & Harvey B.C. (2003) What
can habitat preference models tell us? Tests using a virtual
trout population. Ecological Applications 13, 15801594.
Rincon P.A. & Lobon-Cervia J. (2002) Nonlinear self-thin-
ning in a stream-resident population of brown trout (Sal-
mo trutta). Ecology 83, 18081816.
Rosenfeld J.S. (2003) Assessing the habitat requirements of
stream fishes: an overview and evaluation of different
approaches. Transactions of the American Fisheries Society132, 953968.
Rosenfeld J.S. & Boss S. (2001) Fitness consequences of
habitat use for juvenile cutthroat trout: energetic costs and
benefits in pools and riffles. Canadian Journal of Fisheries
and Aquatic Sciences 58, 585593.
Rosenfeld J.S., Porter M. & Parkinson E. (2000) Habitat
factors affecting the abundance and distribution of juvenile
cutthroat trout (Oncorhynchus clarki) and coho salmon
(Oncorhynchus kisutch). Canadian Journal of Fisheries and
Aquatic Sciences 57, 766774.
Rosenfeld J.S., Leiter T., Lindner G. & Rothman L. (2005)
Food abundance and fish density alters habitat selection,
growth, and habitat suitability curves for juvenile coho
salmon (Oncorhynchus kisutch). Canadian Journal of Fish-
eries and Aquatic Sciences 62, 16911701.
Rosenfeld J.S., Post J.R., Robins G. & Hatfield T. (2007)
Hydraulic geometry as a physical template for the River
Continuum: applications to optimal flows and longitudinal
trends in fish habitat. Canadian Journal of Fisheries and
Aquatic Sciences 64, 755.Solazzi M.F., Nickleson T.E., Johnson S.L. & Rodgers J.D.
(2000) Effects of increasing winter rearing habitat on
abundance of salmonids in two coastal Oregon streams.
Canadian Journal of Fisheries and Aquatic Sciences 57,
906914.
Stewart D.J. & Ibarra M. (1991) Predation and produc-
tion by salmonine fishes in Lake Michigan, 197888.
Canadian Journal of Fisheries and Aquatic Sciences 48,
909922.
Steward D.J., Weininger D., Rottiers D.V. & Edsall T.A.
(1983) An energetics model for lake trout, Salvelinus
namaycush: application to the Lake Michigan population.Canadian Journal of Fisheries and Aquatic Sciences 40,
681698.
Thompson A.R., Petty J.T. & Grossman G.D. (2001) Multi-
scale effects of resource patchiness on foraging behaviour
and habitat use by longnose dace, Rhinichthys cataracte.
Freshwater Biology 46, 145160.
Ursin E. (1967) A mathematical model of some aspects of
fish growth, respiration, and mortality. Journal of the
Fisheries Research Board of Canada 24, 23552453.
Van Winkle W., Jager H.I., Railsback S.F., Holcomb
B.D., Studley T.K. & Baldrige J.E. (1998) Individual-
based model of sympatric populations of brown and
rainbow trout for instream flow assessment: model
description and calibration. Ecological Modelling 110,
175207.
J . S . R O S E N F E L D & J . T A Y L O R21 8
2009 Crown in the right of Canada.