The nest site lottery: how selectively neutral density dependent growth suppression induces frequency dependent selection

TL;DR

This paper introduces a model where density-dependent juvenile mortality creates a frequency-dependent selection mechanism, favoring strategies with higher growth rates and revealing a new fitness measure combining R0 and r.

Contribution

It provides a simplified model demonstrating how density-dependent turnover induces a nest site lottery, leading to specific evolutionary strategies and a new fitness measure.

Findings

Frequency-dependent selection emerges at stable population size.

Strategies with higher mortality and growth rate are favored.

A new fitness measure combining R0 and r is proposed.

Abstract

Modern developments in population dynamics emphasize the role of the turnover of individuals. In the new approaches stable population size is a dynamic equilibrium between different mortality and fecundity factors instead of an arbitrary fixed carrying capacity. The latest replicator dynamics models assume that regulation of the population size acts through feedback driven by density dependent juvenile mortality. Here, we consider a simplified model to extract the properties of this approach. We show that at the stable population size, the structure of the frequency dependent evolutionary game emerges. Turnover of individuals induces a lottery mechanism where for each nest site released by a dead adult individual a single newborn is drawn from the pool of newborn candidates. This frequency dependent selection leads toward the strategy maximizing the number of newborns per adult death. However, multiple strategies can maximize this value. Among them, the strategy with the greatest mortality (which implies greater instantaneous growth rate) is selected. This result is important for the discussion about universal fitness measures and which parameters are maximized by natural selection. This is related to the fitness measures R0 and r, because the number of newborns per single dead individual equals lifetime production of newborn R0 in models without ageing. Our model suggests the existence of another fitness measure which is the combination of R0 and r. According to the nest site lottery mechanism, at stable population size, selection favours strategies with the greatest r from those with the greatest R0.