Modeling time-varying growth using a generalized von Bertalanffy model with application to bloater (Coregonus hoyi) growth dynamics in Lake Michigan

Szalai, Emily B.; Fleischer, Guy W.; Bence, James R.

Abstract:

A concurrent increase in lakewide abundance and decrease in size-at-age of bloater (Coregonus hoyi) in Lake Michigan have suggested density-dependent growth regulation. We investigated these temporal patterns by fitting a dynamic von Bertalanffy model and lengthweight relationship with time-varying parameters to mean length- and weight-at-ages (ages 17) from annual surveys (1965-1999). We modeled yearling length, asymptotic size (L‰), and the parameters of a power relationship between mean weight and mean length (α and β) as changing slowly over time using a random walk model. The Brody growth coefficient (k) was modeled as a linear function of L‰ with year-specific random deviations. Our results support a positive relationship between L‰ and k, indicating that under conditions supporting larger asymptotic lengths, individuals approach the asymptote more rapidly. We explored the relationship between year-specific growth parameters and indices of lakewide bloater abundance and found evidence of density-dependent growth. However, in the most recent years, L‰ and yearling length have remained low in Lake Michigan despite low bloater abundances, suggesting the occurrence of a fundamental shift in the food web.

Genre:

Article

ProdID:

70006456

Citation Author:

Szalai, Emily B.; Fleischer, Guy W.; Bence, James R.

Citation Contributing Office:

Great Lakes Science Center

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Citation Language:

English

Citation Larger Work Title:

Canadian Journal of Fisheries and Aquatic Sciences

Citation LatN:

46.05

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41.61

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-84.95

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-87.91

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Citation Phsyical Description:

12 p.

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Abstract has subscript/superscript to be fixed

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NRC Research Press

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Modeling time-varying growth using a generalized von Bertalanffy model with application to bloater (Coregonus hoyi) growth dynamics in Lake Michigan; 2003; Article; Journal; Canadian Journal of Fisheries and Aquatic Sciences; Szalai, Emily B.; Fleischer, Guy W.; Bence, James R.