The effect of density-dependent mortality on the shape of the stock and recruitment curve

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Abstract
A theoretical investigation of a number of stock and recruitment curves was made. A distinction was drawn between density-dependent and stock-dependent processes. The Beverton and Holt curve with density-dependent mortality yields only an asymptotic curve of recruitment on stock, whereas the Ricker curve is dome-shaped because a stock-dependent mortality is used. The role of density-dependent growth was also examined. The relationship of stock (S) and recruitment (R) of the form R = AS exp (–BS) was derived by Ricker and by Beverton and Holt (in a second equation) in different ways. Mortality in both derivations is stock-dependent. Perhaps by means of density-dependent growth, both stock and density processes can be combined to yield a dome-shaped curve.

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