DOI: 10.1101/456012Oct 31, 2018Paper

Demography, class-structure and kin selection in continuous-time models

BioRxiv : the Preprint Server for Biology
António M. M. Rodrigues

Abstract

The Wright-Fisher infinite island model and the neighbour-modulated approach to kin selection have enabled major advances in the understanding of social evolution in a demographic context. Due to structural assumptions, however, some important evolutionary problems are difficult to solve within the Wright-Fisher discrete-time framework. Although these major constraints are relaxed in the Moran continuous-time framework, a formal treatment of the mathematics of kin selection in continuous-time class-structured populations is still lacking. Here, I employ the neighbour-modulated approach to formalise key features of the kin selection theory in continuous-time infinite-island models. Next, I derive a general form of Hamilton's rule to enable an inclusive fitness interpretation of social behaviours. I consider class-structure at the group and individual level, and I focus on conditional and unconditional phenotypes. I illustrate how the general theory can be applied to solve a wide range of biological problems. Finally, I show how a simple extension of the framework allows for the study of problems pertaining to the transmission of parental quality. I show that while inheritance of parental quality may either promote or inhibit sel...Continue Reading

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