Evolution of fixed demographic heterogeneity from a game of stable coexistence

Stefano Giaimo; Xiang-Yi Li; Arne Traulsen; Annette Baudisch

doi:10.4054/DemRes.2018.38.8

Volume 38 - Article 8 | Pages 197–226

Evolution of fixed demographic heterogeneity from a game of stable coexistence

By Stefano Giaimo, Xiang-Yi Li, Arne Traulsen, Annette Baudisch

Date received:

28 Mar 2017

Date published:

16 Jan 2018

Word count:

8411

Keywords:

aging, demographic heterogeneity, evolution, game theory, matrix population models

DOI:

10.4054/DemRes.2018.38.8

Replicable Material:

demographic-research.38-8 (zip file, 74 kB)
readme.38-8 (text file, 8 kB)

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Abstract

Background: Demographic heterogeneity refers to the observation that – within the same population – trajectories of survival and reproduction differ substantially between individuals. These differences have been found in both natural and captive populations. Models in ecology and evolution that incorporate demographic heterogeneity can improve both our understanding of the evolution of mortality curves and our population management abilities. Current explanations of the origin of demographic heterogeneity mostly revolve around interindividual differences that are either present at birth (ﬁxed heterogeneity) or the result of stochasticity in life history realization (dynamic heterogeneity). Largely neglected remains the possibility that a form of ﬁxed heterogeneity may evolve from interactions between behaviorally distinct individuals through their lifespan.

Objective: We suggest one possible way in which heterogeneity in vital rates may evolve. Our approach assumes game theoretic interactions in the population.

Methods: We combine population matrix models and game theory. We study a stable coexistence game between two types that are initially demographically homogeneous and analyze the effect of mutations that inﬂuence the trajectories of survival and reproduction.

Results: The rise and ﬁxation of mutations can make the population demographically heterogeneous, while the game can preserve the coexistence of different types in the population.

Conclusions: Frequency-dependent selection can help to explain the evolution of demographic heterogeneity.

Contribution: Frequency-dependent selection can maintain already existing demographic heterogeneity in a population without overlapping generations. Here, we show that this form of selection can also be involved in the origin of a form of ﬁxed heterogeneity.