Evol Ecol Res 12: 23-33 (2010)     Full PDF if your library subscribes.

The evolution of cooperation on fragmented landscapes: the spatial Hamilton rule

Feng Zhang1,2, Yi Tao1, Zizhen Li3 and Cang Hui2

1Key Laboratory of Animal Ecology and Conservation Biology, Institute of Zoology, Chinese Academy of Science, Beijing, China, 2Centre for Invasion Biology, Department of Botany and Zoology, Stellenbosch University, Matieland, South Africa and 3Department of Mathematics and Statistics, Lanzhou University, Lanzhou, China

Correspondence: C. Hui, Centre for Invasion Biology, Department of Botany and Zoology, Stellenbosch University, Private Bag X1, Matieland 7602, South Africa.
e-mail: chui@sun.ac.za


Question: How does habitat destruction affect the evolution of cooperation?

Methods: Differential equations of the probabilities for different states in pairwise sites based on the Prisoner’s Dilemma game in a regular network.

Key assumptions: Individuals play the Prisoner’s Dilemma game with other individuals on directly connected (adjacent) sites. Individuals’ average payoff affects the birth rate. The population undergoes a birth–death process. Habitat loss and fragmentation in the network affect the population dynamics and the invasion and persistence of cooperation.

Predictions: (1) The evolution of cooperation is made possible through non-random encounters in a spatially local process. (2) Derive a spatial Hamilton rule whereby the proportion of cooperators among the neighbouring individuals of a cooperator serves the same role of relatedness as in kin selection, which is consistent with other forms of Hamilton rules. (3) The evolution of cooperation becomes easier in harsh environments. (4) The co-existence of multiple strategies in a species can maintain population size at a constant level.

Keywords: evolutionary game, habitat loss, invasion analysis, pair approximation, Prisoner’s Dilemma.

IF you are connected using the IP of a subscribing institution (library, laboratory, etc.)
or through its VPN.


        © 2010 Cang Hui. All EER articles are copyrighted by their authors. All authors endorse, permit and license Evolutionary Ecology Ltd. to grant its subscribing institutions/libraries the copying privileges specified below without additional consideration or payment to them or to Evolutionary Ecology, Ltd. These endorsements, in writing, are on file in the office of Evolutionary Ecology, Ltd. Consult authors for permission to use any portion of their work in derivative works, compilations or to distribute their work in any commercial manner.

       Subscribing institutions/libraries may grant individuals the privilege of making a single copy of an EER article for non-commercial educational or non-commercial research purposes. Subscribing institutions/libraries may also use articles for non-commercial educational purposes by making any number of copies for course packs or course reserve collections. Subscribing institutions/libraries may also loan single copies of articles to non-commercial libraries for educational purposes.

       All copies of abstracts and articles must preserve their copyright notice without modification.