A counterintuitive result in Bell’s model of delayed maturity.

*(English)*Zbl 0835.92024Summary: G. Bell [Am. Nat. 116, 45-76 (1980)] formulated a model with constant parameters in which he applied the commonsense argument that delayed maturity would be favored in iteroparous species if fecundity at first episode increased with age at a rate greater than the rate of decline in survival. However, analysis of his model reveals a flaw leading to the counterintuitive result that a geometric increase in fecundity with age cannot be made large enough to offset even a small geometric decline in survival so that population growth rate could increase with age of maturity. Thus, favorable selection of delayed maturity is unlikely in Bell’s model.

Some age-dependent models are described that avoid this flaw. This analysis extends the models of R. Sibly and P. Calow [J. Theor. Biol. 123, 311-319 (1986)] to include the counterintuitive result that an exponential increase in fecudity cannot offset an exponential decline in survival to favor delayed reproduction at any age.

Some age-dependent models are described that avoid this flaw. This analysis extends the models of R. Sibly and P. Calow [J. Theor. Biol. 123, 311-319 (1986)] to include the counterintuitive result that an exponential increase in fecudity cannot offset an exponential decline in survival to favor delayed reproduction at any age.

##### Keywords:

delayed maturity; iteroparous species; fecundity; decline in survival; growth rate; selection; age-dependent models; delayed reproduction
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\textit{M. H. Bender}, Math. Biosci. 131, No. 1, 103--109 (1996; Zbl 0835.92024)

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##### References:

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