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Article

Relative Condition Parameters for Fishes of Montana, USA

by
Robert W. Eckelbecker
1,*,
Nathaniel M. Heili
2,
Christopher S. Guy
3 and
David A. Schmetterling
4
1
Montana Cooperative Fishery Research Unit, Department of Ecology, Montana State University, P.O. Box 173460, Bozeman, MT 59717, USA
2
Department of Ecology, Montana State University, Bozeman, MT 59717, USA
3
U.S. Geological Survey, Montana Cooperative Fishery Research Unit, Department of Ecology, Montana State University, P.O. Box 173460, Bozeman, MT 59717, USA
4
Montana Fish, Wildlife & Parks, 3201 Spurgin Road, Missoula, MT 59804, USA
*
Author to whom correspondence should be addressed.
Fishes 2023, 8(1), 28; https://doi.org/10.3390/fishes8010028
Submission received: 16 November 2022 / Revised: 22 December 2022 / Accepted: 28 December 2022 / Published: 31 December 2022

Abstract

:
Body condition indices are commonly used in the management of fish populations and are a surrogate to physiological attributes such as tissue-energy reserves. Relative condition factor (Kn) describes the condition of species relative to populations in a geographic area. We developed models to allow for the calculation of Kn in Montana, USA by using the weight–length data collected by Montana Fish, Wildlife & Parks. We generated log10weight–log10length relationships to obtain Montana specific parameter estimates for relative condition equations (W′) for 51 species and three subspecies. We developed separate models by water type (e.g., lotic and lentic) and sex for five species due to varying growth based on sexual dimorphism and varying ecosystem types. Relative condition offers the advantage of describing body condition relative to species in Montana, provides a condition index for species that do not have standard-weight models developed for relative weight (Wr), and affords more information for the global database on weight–length relationships of fishes.

Graphical Abstract

1. Introduction

Weight and length measurements are commonly recorded in fisheries surveys and provide the foundation for research and management [1,2]. Fisheries biologists use weight–length relationships to estimate weight based on length, and vice versa, or to assess the variation from the expected weight for length as an index of relative plumpness of a fish [3]. Because weight is directly related to fish length, ratios between weight and length have been termed condition and are often used as a surrogate to physiological attributes (e.g., tissue-energy reserves) [2,4,5].
Fulton’s condition factor (K), relative condition factor (Kn), and relative weight (Wr) are the three most commonly used metrics to assess body condition in fishes [2]. Relative condition factor (Kn = W/W′), where W is the individual weight of a fish and W′ is the length-specific mean weight of a fish in the population under study and describes the condition of a species relative to populations in a geographic area [6]. This is achieved by comparing the weight of a fish to a standard predicted by a weight–length regression from the geographic area representing where the fish was sampled [3,6]. Geographic areas used to represent average weight–length relationships (W′) can be individual small waterbodies [7,8] or large watersheds and seas [9,10]. Swingle and Shell [6] used the state of Alabama as their geographic area for the development of W′ for 25 species. Here, we aim to replicate Swingle and Shell’s concept of a statewide condition index for Montana specific parameter estimates for relative condition.

2. Materials and Methods

We used fish weight and length data obtained from Montana Fish, Wildlife & Parks spanning the years 1951–2020 for fish sampled within the state of Montana. Each species data were downloaded individually using a query of species identification code, and weight and length greater than zero. Outliers were identified and excluded from future analysis as having an absolute value greater than three from a standardized residual cutoff on the loge weight–loge length linear relationship, which was repeated twice [11]. Due to the high variance in weights on small fish, all individuals below an identified minimum length were excluded from analysis [2]. We used the minimum length specified for species that currently have standard weight equations developed [2,12,13,14,15] and for species without a standard weight equation, a variance to mean ratio was used to find the centimeter length group that had a value less than 0.02 [16,17]. Weight can be predicted from the curvilinear model:
W = aLb,
where W is weight, a is a constant, L is length, and b is an exponent that is generally different among species. The curvilinear model can be transformed to the following equation [18]:
log10(W) = a′+ b × log10(L),
where W is weight, L is length, a′ is the log10(a) and the y-intercept, and b is the slope. Using R package MCMC pack [19], an uninformed Bayesian linear regression was used to obtain parameter estimates of a′ and b for 51 fish species and three subspecies in Montana [20]. By using a Bayesian framework, we can infer the probability of varying estimates of a′ and b.
Average Kn was calculated for the years 1980 and 2020 from the Yellowstone River and Missouri River for rainbow trout Oncorhynchus mykiss and brown trout Salmo trutta.

3. Results

Weight–length data from 51 species and three subspecies and 2,948,583 individuals were used to create parameter estimates for a′ and b and 95% credible intervals (Figures S1–S7). Lengths varied from 50 to 1,473 mm and weights varied from 2 to 56,246 g (Table 1). Intercept values (a′) varied from −6.962 to −4.157 and slopes (b) varied from 2.603 to 3.716 (Table 2).
Temporal and spatial variability in Kn for rainbow trout and brown trout was observed in two Montana rivers – these rivers were used as an example for illustrating the utility in assessing body condition. A decline in the average Kn was observed for both rainbow trout and brown trout in the Yellowstone River. Rainbow trout decreased from 1.11 in 1980 to 0.96 in 2020 while brown trout decreased from 1.12 in 1980 to 0.95 in 2020. Additionally, Kn for rainbow trout increased in the Missouri River from 0.97 in 1980 to 1.08 in 2020 while brown trout had a slight decline from 1.08 in 1980 to 1.02 in 2020.

4. Discussion

The analysis described here was conducted using data readily available from the statewide standardized web accessible database maintained by Montana Fish, Wildlife & Parks and contributes to the estimate of weight–length relationships for 26 species designated as game fishes in Montana statutes, 34 native fish species, and 19 invasive fish species for the state of Montana [21]. Due to varying growth based on sexual dimorphism and ecosystem type, separate models were developed by water type (e.g., lotic and lentic) for two species and two subspecies (e.g., brown trout Salmo trutta, rainbow trout Oncorhynchus mykiss, westslope cutthroat trout Oncorhynchus clarkii lewisi, and Yellowstone cutthroat trout Oncorhynchus clarkii bouvieri) and by sex for paddlefish Polyodon spathula [22,23,24,25,26]. The relative condition parameter estimates provide insight into growth patterns displayed in fishes and offers the ability to calculate a standardized condition factor for the 15 species that currently do not have standard-weight models developed (e.g., pygmy whitefish Prosopium coulterii).
Using the slope parameter, b, to describe the growth pattern of a fish, allometric growth (b ≠ 3) represents a fish that has less girth as length increases (b < 3) or has an increase in plumpness as length increases (b > 3) [2] and occurs more commonly among fish species compared to isometric growth [27]. Isometric growth (b = 3) describes a fish that grows with an unchanging body form [28]. We identify six species (e.g., green sunfish Lepomis cyanellus, lake chub Couesius plumbeus, longnose dace Rhinichthys cataractae, shorthead redhorse Moxostoma macrolepidotum, Columbia slimy sculpin Uranidea sp. cf. cognata, and stonecat Noturus flavus) as having isometric growth based on the 95% credible intervals of b including 3.0.
Relative condition (Kn) requires parameters of a′ and b to calculate W′ (log10W) and offers fisheries biologists a quantitative approach to assess trends in fish condition as a potential indicator of environmental changes and general state of well-being at a regional level [1,2]. We used the years 1980 and 2020 for the Yellowstone River and Missouri River to demonstrate how comparisons of Kn can be used to assess condition both temporarily and spatially. Relative condition factor comparisons can be further informed with the addition of covariates such as discharge, which can affect fish condition factor by reducing refuge, altering prey abundance, and reducing water quality [29,30]. Furthermore, condition factors can be used as a tool to assess prey abundance or fish density, and the ability to detect changes in condition can help biologists make management recommendations concerning fish populations [1,2].
Thirty-nine species and sub-species will now have a standard weight (Ws) and W′ relationship developed allowing for a regional, Montana, and range-wide index of comparison. One limitation of Kn is that a value of 1.0 is related to the average fish which may not describe a fish in good condition [2]. However, the relationship for W′ was created from fish represented in a regional geographic area. Relative weight (Wr) which uses Ws to assess fish condition on a range wide scale can still be biased based on the geographic distribution and quantity of samples that define the Ws equation [31]. By using relative condition and relative weight, biologist can employ more tools to evaluate and monitor body condition of fishes.

Supplementary Materials

The following are available online at https://www.mdpi.com/article/10.3390/fishes8010028/s1. Figure S1: Scatter plot of log10weight–log10length for arctic grayling, bigmouth buffalo, black bullhead, black crappie, blue sucker, bluegill, brook trout, and brown trout where we propose W′ parameters. Red line represents average fish in Montana as predicted from a Bayesian linear regression. Figure S2: Scatter plot of log10weight–log10length for bull trout, burbot, cisco, Columbia slimy sculpin, common carp, flathead chub, freshwater drum, golden shiner, and golden trout where we propose W′ parameters. Red line represents average fish in Montana as predicted from a Bayesian linear regression. Figure S3: Scatter plot of log10weight–log10length for goldeye, green sunfish, kokanee, lake chub, lake trout, lake whitefish, largemouth bass, largescale sucker, and longnose dace where we propose W′ parameters. Red line represents average fish in Montana as predicted from a Bayesian linear regression. Figure S4: Scatter plot of log10weight–log10length for longnose sucker, mountain sucker, mountain whitefish, northern pike, northern pikeminnow, paddlefish, and pallid sturgeon where we propose W′ parameters. Red line represents average fish in Montana as predicted from a Bayesian linear regression. Figure S5: Scatter plot of log10weight–log10length for peamouth, pumpkinseed, pygmy whitefish, rainbow trout, redside shiner, river carpsucker, rocky mountain sculpin, and sauger where we propose W′ parameters. Red line represents average fish in Montana as predicted from a Bayesian linear regression. Figure S6: Scatter plot of log10weight–log10length for shorthead redhorse, smallmouth bass, smallmouth buffalo, stonecat, tiger muskellunge, Utah chub, walleye, and westslope cutthroat trout where we propose W′ parameters. Red line represents average fish in Montana as predicted from a Bayesian linear regression. Figure S7: Scatter plot of log10weight–log10length for white sturgeon, white sucker, yellow bullhead, yellow perch, and Yellowstone cutthroat trout where we propose W’ parameters. Red line represents average fish in Montana as predicted from a Bayesian linear regression.

Author Contributions

Conceptualization, R.W.E., N.M.H., C.S.G., and D.A.S.; methodology, R.W.E., N.M.H., and C.S.G.; validation, R.W.E., and C.S.G.; formal analysis, R.W.E., N.M.H., C.S.G., and D.A.S.; investigation, R.W.E., N.M.H., C.S.G., D.A.S.; resources, D.A.S.; data curation, R.W.E., N.M.H.; writing—original draft preparation, R.W.E., N.M.H.; writing—review and editing, R.W.E., N.M.H., C.S.G., D.A.S.; visualization, R.W.E.; supervision, C.S.G., D.A.S.; project administration, C.S.G., D.A.S. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Institutional Review Board Statement

Not applicable. Data for this study were from Montana Fish, Wildlife & Parks standardized database. Thus, animal use protocols were based on Montana Fish, Wildlife & Parks guidelines.

Data Availability Statement

Data available upon reasonable request from Montana Fish, Wildlife & Parks.

Acknowledgments

We would like to acknowledge Montana Fish, Wildlife & Parks for allowing access to their fisheries data along with the additional agencies and organizations that have contributed to the scientific records hosted by Montana Fish, Wildlife & Parks. The Montana Cooperative Fishery Research Unit is jointly sponsored by Montana State University; Montana Fish, Wildlife & Parks; and the U.S. Geological Survey. Any use of trade, firm, or product names is for descriptive purposes only and does not imply endorsement by the U.S. Government.

Conflicts of Interest

The authors declare no conflict of interest.

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Table 1. Minimum and maximum length and weight used to create weight–length relationship for 51 Montana fish species and three subspecies. All lengths are reported as total length except paddlefish, noted by †, that is measured from eye to fork of caudal fin. Cottidae species are noted with a ‡ as they are being described as new species. Columbia slimy sculpin were previously referred to as slimy sculpin Cottus cognatus and Rocky Mountain sculpin were previously referred to as mottled sculpin C. bairdii.
Table 1. Minimum and maximum length and weight used to create weight–length relationship for 51 Montana fish species and three subspecies. All lengths are reported as total length except paddlefish, noted by †, that is measured from eye to fork of caudal fin. Cottidae species are noted with a ‡ as they are being described as new species. Columbia slimy sculpin were previously referred to as slimy sculpin Cottus cognatus and Rocky Mountain sculpin were previously referred to as mottled sculpin C. bairdii.
Length (mm)Weight (g)Kn
SpeciesScientific NameMinMaxMinMaxMinMax
Acipenseridae
Pallid sturgeonScaphirhynchus albus32514729415,8760.641.40
White sturgeonAcipenser transmontanus7011460116017,2220.761.39
Catostomidae
Bigmouth buffaloIctiobus cyprinellus1639057313,4500.761.29
Blue suckerCycleptus elongatus43788468071000.681.45
Largescale suckerCatostomus macrocheilus1106471027740.661.55
Longnose suckerCatostomus catostomus90597627670.661.53
Mountain suckerCatostomus platyrhynchus10024691810.452.30
River carpsuckerCarpiodes carpio1307622777110.701.43
Shorthead redhorseMoxostoma macrolepidotum100581926750.691.47
Smallmouth buffaloIctiobus bubalus20187015011,0670.681.45
White suckerCatostomus commersonii100564822590.691.44
Centrarchidae
Black crappiePomoxis nigromaculatus10039699600.591.72
BluegillLepomis macrochirus8025455720.502.02
Green sunfishLepomis cyanellus6122652600.402.40
Largemouth bassMicropterus salmoides1505204026300.671.50
PumpkinseedLepomis gibbosus5326033170.531.93
Smallmouth bassMicropterus dolomieu1515612735000.601.67
Cottidae
Columbia slimy sculpinUranidea sp. cf. cognata 901386430.541.63
Rocky mountain sculpinUranidea sp. cf. bairdii 90597627670.661.53
Cyprinidae
Common carpCyprinus carpio2008519010,6100.691.45
Esocidae
Northern PikeEsox lucius1021118513,6170.621.61
Tiger muskellungeEsox masquinongy x lucius25412706814,5150.711.45
Hiodontidae
GoldeyeHiodon alosoides100505915010.681.48
Ictaluridae
Black bullheadAmeiurus melas130353208500.601.66
StonecatNoturus flavus9026952720.561.78
Yellow bullheadAmeiurus natalis124360207500.711.41
Leuciscidae
Flathead chubPlatygobio gracilis10027292130.402.37
Golden shinerNotemigonus crysoleucas71452510210.521.91
Lake chubCouesius plumbeus501832730.412.63
Longnose daceRhinichthys cataractae11016810540.542.22
Northern pikeminnowPtychocheilus oregonensis2506429229880.671.48
PeamouthMylocheilus caurinus10241477780.681.47
Redside shinerRichardsonius balteatus901934700.542.01
Utah chubGila atraria1094621410610.631.61
Lotidae
BurbotLota lota2009143646490.571.77
Percidae
SaugerSander canadensis84676534000.641.62
WalleyeSander vitreus1508561874750.701.44
Yellow perchPerca flavescens101569934700.591.68
Polyodontidae
Paddlefish Polyodon spathula
Overall 7111473499056,2460.681.46
Female 914147312,24756,2460.721.37
Male 7111143499025,8550.731.39
Salmonidae
Arctic graylingThymallus arcticus1504772311390.561.82
Brook troutSalvelinus fontinalis1205621118460.591.69
Brown troutSalmo trutta
Lentic 1407772760560.631.59
Lotic 1408202060000.681.46
Bull troutSalvelinus confluentus1209001073060.661.53
CiscoCoregonus artedi10246399180.631.57
Golden troutO. mykiss aguabonita1245662317240.511.94
KokaneeOncorhynchus nerka1216761429570.691.46
Lake troutSalvelinus namaycush280111014511,2250.671.49
Lake whitefishCoregonus clupeaformis100650530980.651.57
Mountain whitefishProsopium williamsoni1405771620140.651.55
Pygmy whitefishProsopium coulterii9023541160.701.41
Rainbow troutOncorhynchus mykiss
Lentic 1228081861440.631.60
Lotic 1208291374690.671.50
Westslope cutthroat troutO. clarkii lewisi
Lentic 1305971524000.671.50
Lotic 1305461417350.641.56
Yellowstone cutthroat troutO. clarkii bouvieri
Lentic 1326321425000.551.82
Lotic 1316081624150.671.48
Sciaenidae
Freshwater drumAplodinotus grunniens1146802048000.671.53
Table 2. Parameter estimates for a′ and b used for W′ for 51 Montana fish species and three subspecies with 95% credible intervals in parentheses. Equation parameters for metric units are in millimeters and grams and values for English units are in inches and pounds. All lengths are reported as total length except paddlefish, noted by †, that is measured from eye to fork of caudal fin. Asterisks (*) on minimal total length indicate values obtained from standard-weight, Ws, equations [2]. Cottidae species are noted with a ‡ as they are being described as new species. Columbia slimy sculpin were previously referred to as slimy sculpin Cottus cognatus and Rocky Mountain sculpin were previously referred to as mottled sculpin C. bairdii.
Table 2. Parameter estimates for a′ and b used for W′ for 51 Montana fish species and three subspecies with 95% credible intervals in parentheses. Equation parameters for metric units are in millimeters and grams and values for English units are in inches and pounds. All lengths are reported as total length except paddlefish, noted by †, that is measured from eye to fork of caudal fin. Asterisks (*) on minimal total length indicate values obtained from standard-weight, Ws, equations [2]. Cottidae species are noted with a ‡ as they are being described as new species. Columbia slimy sculpin were previously referred to as slimy sculpin Cottus cognatus and Rocky Mountain sculpin were previously referred to as mottled sculpin C. bairdii.
Intercept (a′) Minimal Total Length
SpeciesScientific NameMetricEnglishSlope (b)(mm)n
Acipenseridae
Pallid sturgeonScaphirhynchus albus−6.397 (−6.501, −6.292)−4.377 (−4.428, −4.327)3.329 (3.290, 3.367)320464
White sturgeonAcipenser transmontanus−6.692 (−6.895, −6.487)−4.497 (−4.604, −4.390)3.454 (3.384, 3.522)700 *328
Catostomidae
Bigmouth buffaloIctiobus cyprinellus−5.130 (−5.229, −5.031)−3.401 (−3.450, −3.352)3.122 (3.086, 3.157)150 *312
Blue suckerCycleptus elongatus−5.850 (−6.068, −5.631)−3.903 (−4.014, −3.792)3.277 (3.200, 3.353)240 *807
Largescale suckerCatostomus macrocheilus−5.134 (−5.146, −5.122)−3.509 (−3.514, −3.504)3.048 (3.043, 3.053)11026,035
Longnose suckerCatostomus catostomus−5.012 (−5.020, −5.004)−3.433 (−3.437, −3.430)3.015 (3.012, 3.018)9043,717
Mountain suckerCatostomus platyrhynchus−4.633 (−4.748, −4.517)−3.267 (−3.307, −3.226)2.864 (2.810, 2.917)1002030
River carpsuckerCarpiodes carpio−5.134 (−5.159, −5.109)−3.434 (−3.445, −3.422)3.102 (3.092, 3.111)130 *14,017
Shorthead redhorseMoxostoma macrolepidotum−4.964 (−4.976, −4.952)−3.407 (−3.413, −3.402)2.999 (2.994, 3.004)100 *26,877
Smallmouth buffaloIctiobus bubalus−4.621 (−4.675, −4.567)−3.157 (−3.184, −3.130)2.933 (2.914, 2.953)200 *2945
White suckerCatostomus commersonii−5.243 (−5.248, −5.237)−3.512 (−3.514, −3.510)3.123 (3.121, 3.125)100 *134,086
Centrarchidae
Black crappiePomoxis nigromaculatus−5.150 (−5.173, −5.128)−3.387 (−3.396, −3.378)3.147 (3.137, 3.157)100 *16,650
BluegillLepomis macrochirus−5.435 (−5.502, −5.368)−3.388 (−3.410, −3.365)3.349 (3.317, 3.380)80 *4770
Green sunfishLepomis cyanellus−4.702 (−4.820, −4.584)−3.155 (−3.194, −3.117)2.993 (2.936, 3.049)60 *1613
Largemouth bassMicropterus salmoides−5.178 (−5.217, −5.140)−3.407 (−3.423, −3.391)3.152 (3.136, 3.168)150 *4448
PumpkinseedLepomis gibbosus−4.998 (−5.050, −4.946)−3.220 (−3.237, −3.203)3.157 (3.132, 3.182)50 *5164
Smallmouth bassMicropterus dolomieu−5.302 (−5.321, −5.282)−3.474 (−3.482, −3.466)3.192 (3.184, 3.200)150 *19,325
Cottidae
Columbia slimy sculpinUranidea sp. cf. cognata −5.488 (−6.065, −4.907)−3.529 (−3.701, −3.356)3.286 (2.994, 3.574)90260
Rocky mountain sculpinUranidea sp. cf. bairdii −5.012 (−5.020, −5.004)−3.433 (−3.437, −3.430)3.015 (3.012, 3.018)8043,717
Cyprinidae
Common carpCyprinus carpio−4.787 (−4.800, −4.773)−3.280 (−3.287, −3.273)2.964 (2.959, 2.969)200 *33,650
Esocidae
Northern pikeEsox lucius−5.618 (−5.636, −5.600)−3.839 (−3.848, −3.830)3.158 (3.151, 3.164)100 *17,788
Tiger muskellungeEsox masquinongy x lucius−6.009 (−6.107, −5.911)−4.041 (−4.090, −3.993)3.292 (3.257, 3.327)240 *365
Hiodontidae
GoldeyeHiodon alosoides−4.834 (−4.857, −4.810)−3.399 (−3.409, −3.388)2.913 (2.903, 2.922)10026,257
Ictaluridae
Black bullheadAmeiurus melas−5.174 (−5.233, −5.115)−3.401 (−3.424, −3.378)3.154 (3.128, 3.179)130 *3157
StonecatNoturus flavus−5.038 (−5.126, −4.948)−3.467 (−3.501, −3.433)3.009 (2.970, 3.049)902609
Yellow bullheadAmeiurus natalis−5.442 (−5.531, −5.353)−3.528 (−3.564, −3.491)3.254 (3.217, 3.291)60 *1462
Leuciscidae
Flathead chubPlatygobio gracilis−4.453 (−4.561, −4.345)−3.257 (−3.294, −3.219)2.743 (2.693, 2.793)1003146
Golden shinerNotemigonus crysoleucas−4.261 (−4.398, −4.123)−3.117 (−3.166, −3.067)2.706 (2.642, 2.768)50 *454
Lake chubCouesius plumbeus−4.760 (−5.002, 4.517)−3.331 (−3.402, −3.260)2.908 (2.785, 3.031)50275
Longnose daceRhinichthys cataractae−4.703 (−5.207, 4.197)−3.338 (−3.506, −3.169)2.863 (2.623, 3.102)110303
Northern pikeminnowPtychocheilus oregonensis−5.630 (−5.655, 5.604)−3.753 (−3.765, −3.742)3.227 (3.217, 3.237)250 *10,663
PeamouthMylocheilus caurinus−5.552 (−5.569, 5.536)−3.718 (−3.725, −3.711)3.197 (3.190, 3.204)10045,476
Redside shinerRichardsonius balteatus−5.864 (−5.997, 5.730)−3.723 (−3.768, −3.677)3.416 (3.353, 3.478)901463
Utah chubGila atraria−5.155 (−5.176, 5.133)−3.444 (−3.453, −3.436)3.109 (3.100, 3.118)90 *15,394
Lotidae
BurbotLota lota−4.944 (−4.968, 4.920)−3.540 (−3.551, −3.528)2.891 (2.882, 2.900)200 *14,913
Percidae
SaugerSander canadensis−5.606 (−5.628, 5.583)−3.774 (−3.785, −3.764)3.195 (3.186, 3.204)70 *15,293
WalleyeSander vitreus−5.688 (−5.695, 5.681)−3.780 (−3.784, −3.777)3.249 (3.247, 3.252)150 *73,814
Yellow perchPerca flavescens−5.507 (−5.518, 5.496)−3.573 (−3.578, −3.569)3.268 (3.263, 3.273)100 *94,512
Polyodontidae
Paddlefish Polyodon spathula
Overall −7.010 (−7.090, 6.929)−4.424 (−4.467, −4.381)3.732 (3.705, 3.758)280 *7200
Female −5.274 (−5.481, 5.066)−3.480 (−3.592, −3.367)3.169 (3.101, 3.236)280 *3785
Male −4.530 (−4.692, 4.366)−3.119 (−3.205, −3.032)2.896 (2.841, 2.950)280 *3,379
Salmonidae
Arctic graylingThymallus arcticus−5.696 (−5.721, 5.671)−3.781 (−3.792, −3.770)3.254 (3.244, 3.265)150 *14,668
Brook troutSalvelinus fontinalis−5.248 (−5.256, 5.240)−3.527 (−3.530, −3.524)3.117 (3.113, 3.120)120 *84,064
Brown troutSalmo trutta
Lentic −5.133 (−5.161, 5.105)−3.510 (−3.523, −3.498)3.046 (3.035, 3.057)140 *6381
Lotic −4.783 (−4.786, 4.781)−3.353 (−3.354, −3.352)2.910 (2.909, 2.911)140 *841,787
Bull troutSalvelinus confluentus−5.125 (−5.133, 5.117)−3.525 (−3.528, −3.522)3.030 (3.027, 3.034)120 *26,930
CiscoCoregonus artedi−5.513 (−5.529, −5.498)−3.677 (−3.684, −3.671)3.198 (3.192, 3.205)100 *31,244
Golden troutO. mykiss aguabonita−4.713 (−4.834, −4.591)−3.326 (−3.377, −3.274)2.879 (2.829, 2.928)120 *972
KokaneeOncorhynchus nerka−5.206 (−5.217, −5.195)−3.549 (−3.554, −3.544)3.071 (3.067, 3.075)120 *56,706
Lake troutSalvelinus namaycush−5.301 (−5.326, −5.276)−3.635 (−3.647, −3.622)3.078 (3.068, 3.087)280 *9714
Lake whitefishCoregonus clupeaformis−5.834 (−5.847, −5.820)−3.858 (−3.864, −3.853)3.297 (3.292, 3.302)100 *17,893
Mountain whitefishProsopium williamsoni−5.226 (−5.234, −5.219)−3.559 (−3.562, −3.556)3.079 (3.076, 3.081)140 *170,721
Pygmy whitefishProsopium coulterii−6.044 (−6.098, −5.990)−3.916 (−3.934, −3.898)3.406 (3.380, 3.432)902965
Rainbow troutOncorhynchus mykiss
Lentic −4.906 (−4.926, −4.886)−3.398 (−3.407, −3.389)2.965 (2.957, 2.973)120 *18,967
Lotic −4.841 (−4.844, −4.839)−3.370 (−3.371, −3.369)2.939 (2.938, 2.940)120 *780,901
Westslope cutthroat troutO. clarkii lewisi
Lentic −5.322 (−5.344, −5.301)−3.578 (−3.587, −3.569)3.133 (3.124, 3.142)130 *12,006
Lotic −5.086 (−5.092, −5.080)−3.480 (−3.483, −3.478)3.034 (3.032, 3.037)130 *94,520
Yellowstone cutthroat troutO. clarkii bouvieri
Lentic −5.260 (−5.292, −5.227)−3.577 (−3.591, −3.562)3.089 (3.076, 3.102)130 *11,308
Lotic −4.958 (−4.967, −4.949)−3.421 (−3.425, −3.417)2.985 (2.981, 2.989)130 *44,958
Sciaenidae
Freshwater drumAplodinotus grunniens−5.161 (−5.193, −5.130)−3.454 (−3.468, −3.439)3.107 (3.094, 3.119)100 *6155
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Eckelbecker, R.W.; Heili, N.M.; Guy, C.S.; Schmetterling, D.A. Relative Condition Parameters for Fishes of Montana, USA. Fishes 2023, 8, 28. https://doi.org/10.3390/fishes8010028

AMA Style

Eckelbecker RW, Heili NM, Guy CS, Schmetterling DA. Relative Condition Parameters for Fishes of Montana, USA. Fishes. 2023; 8(1):28. https://doi.org/10.3390/fishes8010028

Chicago/Turabian Style

Eckelbecker, Robert W., Nathaniel M. Heili, Christopher S. Guy, and David A. Schmetterling. 2023. "Relative Condition Parameters for Fishes of Montana, USA" Fishes 8, no. 1: 28. https://doi.org/10.3390/fishes8010028

APA Style

Eckelbecker, R. W., Heili, N. M., Guy, C. S., & Schmetterling, D. A. (2023). Relative Condition Parameters for Fishes of Montana, USA. Fishes, 8(1), 28. https://doi.org/10.3390/fishes8010028

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