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On the mechanistic derivation of various discrete-time population models. (English) Zbl 1133.92355
Summary: We present a derivation of various discrete-time population models within a single unifying mechanistic context. By systematically varying the within-year patterns of reproduction and aggression between individuals we can derive various discrete-time population models. These models include classical examples such as the W. E. Ricker model [J. Fish. Res. Bd. Can. 11, 559–623 (1954)], the R. J. H. Beverton and S. J. Holt model [Fish. Investig., Ser. 2, Vol. 19 (1957)], the J. G. Skellam model [Biometrika 38, 196–218 (1951; Zbl 0043.14401)], the M. P. Hassell model [J. Anim. Ecol. 44, 283–295 (1975)], and others. Some of these models until now lacked a good mechanistic interpretation or have been derived in a different context. By using this mechanistic approach, the model parameters can be interpreted in terms of individual behavior.

92D40 Ecology
37N25 Dynamical systems in biology
92D25 Population dynamics (general)
Full Text: DOI
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