Spatial evolutionary dynamics produce a negative cooperation-population size relationship.

[1]  Stanislas Leibler,et al.  Simpson's Paradox in a Synthetic Microbial System , 2009, Science.

[2]  Joshua M. Epstein,et al.  Zones of cooperation in demographic prisoner's dilemma , 1997, Complex..

[3]  Akira Sasaki,et al.  Statistical Mechanics of Population: The Lattice Lotka-Volterra Model , 1992 .

[4]  Akira Sasaki,et al.  Statistical Mechanics of Population , 1992 .

[5]  Stephen T. Emlen,et al.  The Evolution of Helping. I. An Ecological Constraints Model , 1982, The American Naturalist.

[6]  S. West,et al.  Group Formation, Relatedness, and the Evolution of Multicellularity , 2013, Current Biology.

[7]  P. Taylor Altruism in viscous populations — an inclusive fitness model , 1992, Evolutionary Ecology.

[8]  C. Hauert,et al.  Spatial dynamics of ecological public goods , 2009, Proceedings of the National Academy of Sciences.

[9]  M. Wade,et al.  ORIGINS OF ALTRUISM DIVERSITY I: THE DIVERSE ECOLOGICAL ROLES OF ALTRUISTIC STRATEGIES AND THEIR EVOLUTIONARY RESPONSES TO LOCAL COMPETITION , 2012, Evolution; international journal of organic evolution.

[10]  A. Griffin,et al.  Siderophore-mediated cooperation and virulence in Pseudomonas aeruginosa. , 2007, FEMS microbiology ecology.

[11]  Sonia Kéfi,et al.  Evolution of Local Facilitation in Arid Ecosystems , 2008, The American Naturalist.

[12]  Patrick Forber Evolution and the Levels of Selection , 2008 .

[13]  Ulf Dieckmann,et al.  Adaptive Evolution of Social Traits: Origin, Trajectories, and Correlations of Altruism and Mobility , 2004, The American Naturalist.

[14]  A. Griffin,et al.  Cooperation facilitates the colonization of harsh environments , 2017, Nature Ecology &Evolution.

[15]  W. Hamilton,et al.  The evolution of cooperation. , 1984, Science.

[16]  C Athena Aktipis,et al.  Know when to walk away: contingent movement and the evolution of cooperation. , 2004, Journal of theoretical biology.

[17]  B. Bolker,et al.  Spatial Moment Equations for Plant Competition: Understanding Spatial Strategies and the Advantages of Short Dispersal , 1999, The American Naturalist.

[18]  M. Nowak Evolutionary Dynamics: Exploring the Equations of Life , 2006 .

[19]  C. Hauert,et al.  Social evolution in structured populations , 2014, Nature Communications.

[20]  C. Darwin The Descent of Man and Selection in Relation to Sex: INDEX , 1871 .

[21]  Ilkka Hanski,et al.  Single‐species metapopulation dynamics: concepts, models and observations , 1991 .

[22]  M. Baalen,et al.  Self-structuring in spatial evolutionary ecology. , 2008, Ecology letters.

[23]  Richard McElreath,et al.  Increased Costs of Cooperation Help Cooperators in the Long Run , 2013, The American Naturalist.

[24]  J. Koella,et al.  The spatial spread of altruism versus the evolutionary response of egoists , 2000, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[25]  S. Gandon,et al.  LIFE HISTORY, HABITAT SATURATION AND THE EVOLUTION OF FECUNDITY AND SURVIVAL ALTRUISM , 2010, Evolution; international journal of organic evolution.

[26]  V. Wynne-Edwards,et al.  Intergroup Selection in the Evolution of Social Systems , 1963, Nature.

[27]  D. Portnoy,et al.  A Generalization of Hamilton’s Rule for the Evolution of Microbial Cooperation , 2010, Science.

[28]  C. Webb A Complete Classification of Darwinian Extinction in Ecological Interactions , 2003, The American Naturalist.

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

[30]  M A Nowak,et al.  Spatial games and the maintenance of cooperation. , 1994, Proceedings of the National Academy of Sciences of the United States of America.

[31]  M. Loreau,et al.  Local densities connect spatial ecology to game, multilevel selection and inclusive fitness theories of cooperation. , 2015, Journal of theoretical biology.

[32]  M. Loreau,et al.  Defector clustering is linked to cooperation in a pathogenic bacterium , 2017, Proceedings of the Royal Society B: Biological Sciences.

[33]  S. Okasha Evolution and the Levels of Selection , 2007 .

[34]  Simon A. Levin,et al.  Public goods in relation to competition, cooperation, and spite , 2014, Proceedings of the National Academy of Sciences.

[35]  Demographic Noise , 2008 .

[36]  J. Weibull,et al.  A generalization of Hamilton's rule — Love thy sibling how much? , 2011 .

[37]  Peter D. Taylor,et al.  Evolution of cooperation in a finite homogeneous graph , 2007, Nature.

[38]  Attila Szolnoki,et al.  Coevolutionary Games - A Mini Review , 2009, Biosyst..

[39]  Arne Traulsen,et al.  Stochastic game dynamics under demographic fluctuations , 2015, Proceedings of the National Academy of Sciences.

[40]  W. Hamilton The genetical evolution of social behaviour. I. , 1964, Journal of theoretical biology.

[41]  M. van der Ploeg,et al.  Matrix models , 2004, Histochemistry.

[42]  S. Levin Self-organization and the Emergence of Complexity in Ecological Systems , 2005 .

[43]  F. Rousset,et al.  Inclusive fitness for traits affecting metapopulation demography. , 2004, Theoretical population biology.

[44]  T. Schoener The Newest Synthesis: Understanding the Interplay of Evolutionary and Ecological Dynamics , 2011, Science.

[45]  M. Rietkerk,et al.  Spatial vegetation patterns and imminent desertification in Mediterranean arid ecosystems , 2007, Nature.

[46]  C. Hauert,et al.  Evolutionary games and population dynamics: maintenance of cooperation in public goods games , 2006, Proceedings of the Royal Society B: Biological Sciences.

[47]  G. B. Pollock,et al.  Can altruism evolve in purely viscous populations? , 1992, Evolutionary Ecology.

[48]  Shigeru Kondo,et al.  Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation , 2010, Science.

[49]  J. Strassmann,et al.  Kin discrimination and cooperation in microbes. , 2011, Annual review of microbiology.

[50]  Grenfell,et al.  Inverse density dependence and the Allee effect. , 1999, Trends in ecology & evolution.

[51]  Jeffrey C Schank,et al.  Movement patterns, social dynamics, and the evolution of cooperation. , 2012, Theoretical population biology.

[52]  Leticia Avilés,et al.  Cooperation and non-linear dynamics: An ecological perspective on the evolution of sociality , 1999 .

[53]  M. Loreau,et al.  Patchiness in a microhabitat chip affects evolutionary dynamics of bacterial cooperation. , 2015, Lab on a chip.

[54]  Martin A. Nowak,et al.  Calculating Evolutionary Dynamics in Structured Populations , 2009, PLoS Comput. Biol..

[55]  Isabel Gordo,et al.  The tragedy of the commons, the public goods dilemma, and the meaning of rivalry and excludability in evolutionary biology , 2006 .

[56]  M. Baalen,et al.  The Unit of Selection in Viscous Populations and the Evolution of Altruism. , 1998, Journal of theoretical biology.

[57]  J. Gore,et al.  Feedback between Population and Evolutionary Dynamics Determines the Fate of Social Microbial Populations , 2013, PLoS biology.

[58]  Andrew Gonzalez,et al.  Adaptation and Evolutionary Rescue in Metapopulations Experiencing Environmental Deterioration , 2011, Science.

[59]  R. Michod,et al.  Life-history evolution and the origin of multicellularity. , 2006, Journal of theoretical biology.

[60]  E. H. Simpson,et al.  The Interpretation of Interaction in Contingency Tables , 1951 .

[61]  Patrick Abbot,et al.  Population Ecology, Nonlinear Dynamics, and Social Evolution. I. Associations among Nonrelatives , 2002, The American Naturalist.

[62]  T. Clutton‐Brock,et al.  Matrix Models of Hierarchical Demography: Linking Group- and Population-Level Dynamics in Cooperative Breeders , 2018, The American Naturalist.

[63]  G. J. Velicer Social strife in the microbial world. , 2003, Trends in microbiology.

[64]  H. Ohtsuki,et al.  Strategy selection in structured populations. , 2009, Journal of theoretical biology.

[65]  S. Bonhoeffer,et al.  Cooperation and Competition in the Evolution of ATP-Producing Pathways , 2001, Science.

[66]  D. Roze,et al.  Cooperation and conflict in the evolution of multicellularity , 2001, Heredity.

[67]  Tim Rogers,et al.  Demographic noise can reverse the direction of deterministic selection , 2016, Proceedings of the National Academy of Sciences.

[68]  L. Keller Levels of selection in evolution , 1999 .

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

[70]  Wenying Shou,et al.  Defectors Can Create Conditions That Rescue Cooperation , 2015, PLoS Comput. Biol..

[71]  David W. Johnson,et al.  Cooperation and Competition , 2015 .

[72]  Attila Szolnoki,et al.  Evolutionary dynamics of group interactions on structured populations: a review , 2013, Journal of The Royal Society Interface.

[73]  Robert M. May,et al.  Dispersal in stable habitats , 1977, Nature.