channel structure and growth rate

Upload: spongebobfishpants

Post on 07-Apr-2018

220 views

Category:

Documents


0 download

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.