title: A new demographic function maximized by life-history evolution.
abstract: A goal of life-history theory has been to understand what combination of demographic traits is maximized by natural selection. In practice, researchers usually choose either density-independent population growth rate, lambda, or lifetime reproductive success, R0 (expected number of offspring produced in a lifetime). Others have shown that the maxima of density-independent lambda and R0 are evolutionarily stable strategies under specific density-dependent conditions: population regulation by equal density dependence among all age classes for lambda and by density dependence on a single age class for R0. Here I extend these connections between density-independent optimization models and density-dependent invasion function models in two ways. First, I derive a new demographic function for which a maximum corresponds to attainability of the equilibrium strategy or stability of the mean rather than stability of the variance of the strategy distribution. Second, I show explicitly a continuous range of cases with maxima between those for the lambda and R0. Graphical and biological interpretations are given for an example model. Finally, exceptions to a putative life-history generality (from lambda and R0 models), that high early-life mortality selects for high iteroparity, are shown.
authors.affiliation: Department of Environmental Science and Policy, Center for Population Biology, University of California, Davis 95616, USA.
authors.forename: P
authors.initials: P
authors.lastname: de Valpine
mesh_terms: D005075:Biological Evolution; D003710:Demography; D008954:Models, Biological; D012098:Reproduction; D012641:Selection, Genetic