Competition for resources may reinforce the evolution of altruism in spatially structured populations

Minus van Baalen; Atsushi Yamauchi; Minus van Baalen; Atsushi Yamauchi

doi:10.3934/mbe.2019183

Mathematical Biosciences and Engineering

2019, Volume 16, Issue 5: 3694-3717. doi: 10.3934/mbe.2019183

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Competition for resources may reinforce the evolution of altruism in spatially structured populations

Minus van Baalen ^{1
,
,},
Atsushi Yamauchi ²

1.
Institut de biologie de l’Ecole normale supérieure (IBENS), Ecole normale supérieure, CNRS, INSERM, PSL Research University, 75005 Paris, France
2.
Center for Ecological Research, Kyoto University, Hirano 2-509-3, Otsu 520-2113, Japan

Received: 28 December 2018 Accepted: 15 April 2019 Published: 26 April 2019

Spatial structure is known to affect the evolution of social behaviour, but little is known on how this evolution depends on simultaneous competition for resources. In simple models, competition for resources tends to counteract altruism, but ecologically more realistic models suggest that competition for resources might actually reinforce altruism. Here we set up a probabilistic cellular automaton (PCA) model and analyse it using the Correlation Dynamics (CD) approach, to study how competition for resources affects the evolution of altruism. If the resource diffuses across space, spatially separate clusters of relatives may still compete for resources, thus creating a larger competitive kernel than the immediate neighbourhood. This increases the separation of clusters of relatives and thus reinforces the selection of altruistic behaviour.
- evolution,
- altruism,
- resource competition,
- spatial distributions
Citation: Minus van Baalen, Atsushi Yamauchi. Competition for resources may reinforce the evolution of altruism in spatially structured populations[J]. Mathematical Biosciences and Engineering, 2019, 16(5): 3694-3717. doi: 10.3934/mbe.2019183

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Abstract

Spatial structure is known to affect the evolution of social behaviour, but little is known on how this evolution depends on simultaneous competition for resources. In simple models, competition for resources tends to counteract altruism, but ecologically more realistic models suggest that competition for resources might actually reinforce altruism. Here we set up a probabilistic cellular automaton (PCA) model and analyse it using the Correlation Dynamics (CD) approach, to study how competition for resources affects the evolution of altruism. If the resource diffuses across space, spatially separate clusters of relatives may still compete for resources, thus creating a larger competitive kernel than the immediate neighbourhood. This increases the separation of clusters of relatives and thus reinforces the selection of altruistic behaviour.

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