Abstract
The identity [Formula: see text], where Bt is the population biomass, Nt is the population size, and [Formula: see text] is the average individual weight for all ages, is applied to develop simultaneous equations for change in biomass, number of individuals, and average individual weight for the linear surplus-production equation. It is shown that equations for all three variables cannot be simultaneously logistic. The relation between logeNt and [Formula: see text] predicted by the linear surplus-production model is compared with observations of bluegill population densities and average weights estimated from 10 years of cove rotenone sampling in five large TVA reservoirs. The fit of the model to the data is fairly good, but it accounts for only a small amount of the total variation observed.
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