Emergence of cooperative behaviours in the management of mobile ecological resources

Cooperation at neighbourhood and landscape scale is frequently advocated as a means of improving the management of ecological resources. Such management often involves multiple agents and takes place in spatially structured landscapes where interactions between management actions are mediated via spatio-temporal dynamics of the managed resource. Evolutionary game theory has sought mechanisms to explain the emergence of cooperation among selfish individuals in these complex socio-ecological contexts, and spatial implementations of standard games have shown that the development and persistence of cooperation is affected by spatial structure. However, existing game theoretic models do not incorporate the dynamics of the managed resource or cross-linkages between resource dynamics and management actions and payoffs. We use a spatial agent-based modelling approach to investigate how ecological dynamics, payoff structures, and their interdependencies, influence the emergence and persistence of cooperative behaviours in the management of red deer (Cervus elaphus) in Scotland. Simulation results for landscapes comprised of agents with (i) only sporting, and (ii) only biodiversity management objectives show significant differences in the spatial patterns of management action and cooperative behaviour which emerge as limit cycle attractors. Compact clusters of cooperative agents arise in the sporting scenario, culling at low intensity to maintain advantageously high deer densities. Cooperative behaviour in the biodiversity scenario emerges as a context-dependent function of deer density in filament-like structures along the boundaries between linear regions of high or low culling intensity. These findings suggest that mechanisms driving the emergence of cooperative behaviours can be complex and that the opportunities for, and benefits derived from, cooperation are likely to depend critically on both the management objectives and dynamics of the resource.

[1]  K. Bruckmeier,et al.  Interdisciplinary Conflict Analysis and Conflict Mitigation in Local Resource Management , 2005, Ambio.

[2]  Yoh Iwasa,et al.  Conflict between groups of players in coupled socio-economic and ecological dynamics , 2009 .

[3]  Michael Monticino,et al.  Coupled human and natural systems: A multi-agent-based approach , 2007, Environ. Model. Softw..

[4]  Michael Doebeli,et al.  Spatial structure often inhibits the evolution of cooperation in the snowdrift game , 2004, Nature.

[5]  C. Withagen,et al.  Spatial Evolution of Social Norms in a Common-Pool Resource Game , 2005 .

[6]  R. Hinde,et al.  The Possibility of Cooperation@@@Cooperation: The Basis of Sociability.@@@Cooperation and Prosocial Behavior.@@@Governing the Commons: The Evolution of Institutions for Collective Action. , 1990 .

[7]  M. Nowak Five Rules for the Evolution of Cooperation , 2006, Science.

[8]  H. Gintis,et al.  Human Motivation and Social Cooperation: Experimental and Analytical , 2007 .

[9]  Uta Berger,et al.  Pattern-Oriented Modeling of Agent-Based Complex Systems: Lessons from Ecology , 2005, Science.

[10]  Glen Saunders,et al.  An Economic Evaluation of a Pest Management Control Program: "Outfox the Fox" , 2005 .

[11]  G. Hardin,et al.  The Tragedy of the Commons , 1968, Green Planet Blues.

[12]  H. Ohtsuki,et al.  A simple rule for the evolution of cooperation on graphs and social networks , 2006, Nature.

[13]  A. Griffin,et al.  Social semantics : altruism , cooperation , mutualism , strong reciprocity and group selection , 2007 .

[14]  J. M. Milner,et al.  Red deer stocks in the Highlands of Scotland , 2004, Nature.

[15]  L M Wahl,et al.  The Continuous Prisoner:s Dilemma: I. Linear Reactive Strategies , 1999 .

[16]  Arne Traulsen,et al.  Social learning promotes institutions for governing the commons , 2010, Nature.

[17]  Christophe Le Page,et al.  Co-constructing with stakeholders a role-playing game to initiate collective management of erosive runoff risks at the watershed scale , 2010, Environ. Model. Softw..

[18]  M. Doebeli,et al.  Variable investment, the Continuous Prisoner's Dilemma, and the origin of cooperation , 1999, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[19]  Keith Kirby,et al.  The impact of deer on the ground flora of British broadleaved woodland , 2001 .

[20]  C. Hauert,et al.  Models of cooperation based on the Prisoner's Dilemma and the Snowdrift game , 2005 .

[21]  Jun Bi,et al.  An adaptive agent-based modeling approach for analyzing the influence of transaction costs on emissions trading markets , 2011, Environ. Model. Softw..

[22]  S. Auyang Foundations of Complex-System Theories: In Economics, Evolutionary Biology, and Statistical Physics , 1998 .

[23]  Contents , 2010, Neuroscience Letters.

[24]  R. Fuller,et al.  Ecological impacts of increasing numbers of deer in British woodland , 2001 .

[25]  C. Hauert,et al.  The Evolutionary Origin of Cooperators and Defectors , 2004, Science.

[26]  E. Fehr,et al.  Cooperation and Punishment in Public Goods Experiments , 1999, SSRN Electronic Journal.

[27]  R. Axelrod Agent-based Modeling as a Bridge Between Disciplines , 2006 .

[28]  A. Truscott,et al.  Browsing by deer on naturally regenerating Scots pine (Pinus sylvestris L.) and its effects on sapling growth , 2003 .

[29]  E. J. Milner-Gulland,et al.  Sex differences in emigration and mortality affect optimal management of deer populations , 2002, Nature.

[30]  Christian T. K.-H. Stadtländer,et al.  Individual-based modelling and ecology , 2012 .

[31]  M. Nowak,et al.  Evolutionary Dynamics of Biological Games , 2004, Science.

[32]  J. Smart,et al.  Modelling conflicting objectives in the management of a mobile ecological resource: Red deer in the Scottish Highlands , 2008 .

[33]  C. Withagen,et al.  Local and Global Interactions in an Evolutionary Resource Game , 2005 .

[34]  D. Parker,et al.  An Overview of Computational Modeling in Agricultural and Resource Economics , 2009 .

[35]  Laijun Zhao Model of collective cooperation and reallocation of benefits related to conflicts over water pollution across regional boundaries in a Chinese river basin , 2009, Environ. Model. Softw..

[36]  Sunny Y. Auyang,et al.  Foundations of Complex-system Theories , 1998 .

[37]  Arne Traulsen,et al.  Exploration dynamics in evolutionary games , 2009, Proceedings of the National Academy of Sciences.