Abstract
Fishery models which are based upon stock-recruitment relationships in which the total number of recruits decreases at large stock size (e.g., the Ricker model) are well-known to show very complicated dynamic behavior for some parameter values; in particular, the potential for the population to maintain stable constant population size is strongly influenced by the growth rate at low densities, as measured by the parameter a, the density-independent egg replacement ratio. For multiple age-spawning populations, the situation is much more complicated: increase in year to year survival for a given lifetime replacement value a both spreads reproduction over more age-classes (which is stabilizing) and introduces a delay into the system response (which is potentially destabilizing) by increasing the mean age of reproduction. In this paper, the interplay of these two effects is explored.
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Levin, S.A. (1981). Age-Structure and Stability in Multiple-Age Spawning Populations. In: Vincent, T.L., Skowronski, J.M. (eds) Renewable Resource Management. Lecture Notes in Biomathematics, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46436-2_3
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DOI: https://doi.org/10.1007/978-3-642-46436-2_3
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