Symmetry breaking in cyclic competition by niche construction

Niche construction theory, which portrays organisms as active agents that modify their environment rather than mere passive entities selected by their environment, has received increasing attention in ecology and evolutionary biology. Here, we investigate the ecological consequences of niche construction in the system of three cyclically competing metapopulations, engaging a rock-scissors-paper game. Using cellular automata, we detected a variety of dynamic behaviors, including damped oscillation, periodical fluctuation and stage equilibrium, and the system transformed from disorder to order with gradually increasing niche-constructing intensity. Increasing niche-constructing intensity of a species, counterintuitively, reduced its own occupancy, but increased that of its inferior competitor. These species displayed interesting ripples in the two-dimension lattice space, with the pattern sensitive to the symmetry of competition intensity and other vital rates. Spatial heterogeneity induced by niche construction, together with the competition hierarchy, formed a stable and fixed range for each species with clear boundaries. Our results highlighted the necessity of investigating the adaptive dynamics of niche constructing traits to better understand the eco-evolutionary consequence of niche construction.

[1]  Marta Sales-Pardo,et al.  Evolutionary Conservation of Species’ Roles in Food Webs , 2012, Science.

[2]  Marcus Frean,et al.  Rock–scissors–paper and the survival of the weakest , 2001, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[3]  Kim Sterelny,et al.  PERSPECTIVE: SEVEN REASONS (NOT) TO NEGLECT NICHE CONSTRUCTION , 2006, Evolution; international journal of organic evolution.

[4]  Cang Hui,et al.  An interaction switch predicts the nested architecture of mutualistic networks. , 2011, Ecology letters.

[5]  L. Buss,et al.  Alleopathy and spatial competition among coral reef invertebrates. , 1975, Proceedings of the National Academy of Sciences of the United States of America.

[6]  Attila Szolnoki,et al.  Vortices determine the dynamics of biodiversity in cyclical interactions with protection spillovers , 2015, ArXiv.

[7]  Attila Szolnoki,et al.  From pairwise to group interactions in games of cyclic dominance. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Attila Szolnoki,et al.  Diverging fluctuations in a spatial five-species cyclic dominance game. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Erwin Frey,et al.  Noise and correlations in a spatial population model with cyclic competition. , 2007, Physical review letters.

[10]  C. Hui,et al.  Dynamical complexity and metapopulation persistence , 2003 .

[11]  M. Lawrence,et al.  Bacteria in the global atmosphere – Part 2: Modeling of emissions and transport between different ecosystems , 2009 .

[12]  M. Loreau,et al.  Ecological and evolutionary consequences of niche construction for its agent. , 2008, Ecology letters.

[13]  Attila Szolnoki,et al.  Correlation of positive and negative reciprocity fails to confer an evolutionary advantage: Phase transitions to elementary strategies , 2013, ArXiv.

[14]  M. Feldman,et al.  Local dispersal promotes biodiversity in a real-life game of rock–paper–scissors , 2002, Nature.

[15]  R. Macarthur,et al.  Competition among Fugitive Species in a Harlequin Environment , 1972 .

[16]  K. Laland,et al.  PERSPECTIVE: SEVEN REASONS (NOT) TO NEGLECT NICHE CONSTRUCTION , 2006, Evolution; international journal of organic evolution.

[17]  C. Hui,et al.  Density-dependent dispersal complicates spatial synchrony in tri-trophic food chains , 2015, Population Ecology.

[18]  Michel Pleimling,et al.  Extinction in four species cyclic competition , 2013, 1307.3097.

[19]  Johan van de Koppel,et al.  Under niche construction: an operational bridge between ecology, evolution, and ecosystem science , 2014 .

[20]  F. J. Odling-Smee,et al.  Evolutionary consequences of niche construction and their implications for ecology. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[21]  Cang Hui,et al.  Polymorphism maintenance in a spatially structured population: A two-locus genetic model of niche construction , 2006 .

[22]  F. J. Odling-Smee Niche-constructing phenotypes. , 1988 .

[23]  B. Sinervo,et al.  The rock–paper–scissors game and the evolution of alternative male strategies , 1996, Nature.

[24]  F. J. Odling-Smee,et al.  Niche Construction: The Neglected Process in Evolution , 2003 .

[25]  J. Bascompte,et al.  Synchrony and second‐order spatial correlation in host–parasitoid systems , 2001 .

[26]  P. Anderson More is different. , 1972, Science.

[27]  C. Hui,et al.  Zeta Diversity as a Concept and Metric That Unifies Incidence-Based Biodiversity Patterns , 2014, The American Naturalist.

[28]  Bruce Bowerman,et al.  Symmetry breaking in biology. , 2010, Cold Spring Harbor perspectives in biology.

[29]  R. Nisbet,et al.  How should we define 'fitness' for general ecological scenarios? , 1992, Trends in ecology & evolution.

[30]  C. Johnson,et al.  Selection for restraint in competitive ability in spatial competition systems , 2002, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[31]  H. O. Minoarivelo,et al.  Trait-mediated interaction leads to structural emergence in mutualistic networks , 2015, Evolutionary Ecology.

[32]  C. Hui,et al.  Spatial distributions of niche-constructing populations , 2015 .

[33]  Attila Szolnoki,et al.  Reward and cooperation in the spatial public goods game , 2010, ArXiv.

[34]  J. van der Gucht,et al.  Physical model of cellular symmetry breaking. , 2009, Cold Spring Harbor perspectives in biology.

[35]  C. Hui,et al.  Does the self-similar species distribution model lead to unrealistic predictions? , 2008, Ecology.

[36]  Douglas H. Erwin,et al.  Niche Construction Theory: A Practical Guide for Ecologists , 2013, The Quarterly Review of Biology.

[37]  György Szabó,et al.  Competing associations in bacterial warfare with two toxins. , 2007, Journal of theoretical biology.

[38]  C. Hui,et al.  ADAPTIVE DIVERGENCE IN DARWIN'S RACE: HOW COEVOLUTION CAN GENERATE TRAIT DIVERSITY IN A POLLINATION SYSTEM , 2013, Evolution; international journal of organic evolution.

[39]  Attila Szolnoki,et al.  Rock-scissors-paper game on regular small-world networks , 2004 .

[40]  Attila Szolnoki,et al.  Noise-guided evolution within cyclical interactions , 2007, 0707.1992.

[41]  C. Hui,et al.  Spatiotemporal dynamics and distribution patterns of cyclic competition in metapopulation , 2006 .

[42]  Ulf Dieckmann,et al.  Fisheries-induced disruptive selection. , 2015, Journal of theoretical biology.

[43]  Eric L. Charnov,et al.  The optimal balance between growth rate and survival in mammals , 2004 .

[44]  J. Laakso,et al.  Effects of patch number and dispersal patterns on population dynamics and synchrony. , 2000, Journal of theoretical biology.

[45]  F. J. Odling-Smee,et al.  The evolutionary consequences of niche construction: a theoretical investigation using two‐locus theory , 1996 .

[46]  Zi-Gang Huang,et al.  Mesoscopic Interactions and Species Coexistence in Evolutionary Game Dynamics of Cyclic Competitions , 2014, Scientific Reports.

[47]  Stefano Allesina,et al.  A competitive network theory of species diversity , 2011, Proceedings of the National Academy of Sciences.

[48]  E. Charnov,et al.  Allometric aspects of population dynamics: A symmetry approach , 1992, Evolutionary Ecology.

[49]  Wen-Xu Wang,et al.  Pattern formation, synchronization, and outbreak of biodiversity in cyclically competing games. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[50]  Yanyu Zhang,et al.  Effects of time-lagged niche construction on metapopulation dynamics and environmental heterogeneity , 2009, Appl. Math. Comput..

[51]  D. Tilman Competition and Biodiversity in Spatially Structured Habitats , 1994 .

[52]  C. Hui,et al.  Distribution patterns of metapopulation determined by Allee effects , 2004, Population Ecology.

[53]  Cang Hui,et al.  Niche construction and polymorphism maintenance in metapopulations , 2005, Ecological Research.

[54]  Attila Szolnoki,et al.  Phase Diagrams for the Spatial Public Goods Game with Pool-Punishment , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[55]  C. Hui,et al.  Niche Construction on Environmental Gradients: The Formation of Fitness Valley and Stratified Genotypic Distributions , 2014, PloS one.

[56]  Erwin Frey,et al.  Self-organization of mobile populations in cyclic competition. , 2008, Journal of theoretical biology.

[57]  Stephanie Dutkiewicz,et al.  Patterns of Diversity in Marine Phytoplankton , 2010, Science.

[58]  Attila Szolnoki,et al.  Cyclic dominance in evolutionary games: a review , 2014, Journal of The Royal Society Interface.

[59]  Sha Feng,et al.  Self-organization of five species in a cyclic competition game , 2013 .

[60]  C. Hui,et al.  Detecting phylogenetic signal in mutualistic interaction networks using a Markov process model. , 2014, Oikos.

[61]  Christoph Hauert,et al.  Replicator dynamics of reward & reputation in public goods games. , 2010, Journal of theoretical biology.

[62]  Marcus W. Feldman,et al.  Niche construction: do the changes that organisms make to their habitats transform evolution and influence natural selection? , 2004 .

[63]  Stefano Allesina,et al.  A General Model for Food Web Structure , 2008, Science.

[64]  J. Axelrod,et al.  Planar cell polarity signaling: the developing cell's compass. , 2009, Cold Spring Harbor perspectives in biology.

[65]  C. Hui,et al.  Adaptive Diversification in Coevolutionary Systems , 2015 .

[66]  G. Szabó,et al.  Defense mechanisms of empathetic players in the spatial ultimatum game. , 2012, Physical review letters.

[67]  G Szabó,et al.  Phase transition in a spatial Lotka-Volterra model. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[68]  Cang Hui,et al.  Metapopulation dynamics and distribution, and environmental heterogeneity induced by niche construction , 2004 .

[69]  C. Hui,et al.  Recent experience-driven behaviour optimizes foraging , 2014, Animal Behaviour.

[70]  M. Milinski,et al.  Volunteering leads to rock–paper–scissors dynamics in a public goods game , 2003, Nature.

[71]  D. Richardson,et al.  A Cross-Scale Approach for Abundance Estimation of Invasive Alien Plants in a Large Protected Area , 2013 .

[72]  Joaquim Fort,et al.  Effects of punishment in a mobile population playing the prisoner's dilemma game. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[73]  T. Reichenbach,et al.  Mobility promotes and jeopardizes biodiversity in rock–paper–scissors games , 2007, Nature.

[74]  Tainaka Vortices and strings in a model ecosystem. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[75]  Causing a commotion , 2004, Nature.

[76]  Frank Jenko,et al.  How turbulence regulates biodiversity in systems with cyclic competition. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[77]  John Vandermeer,et al.  The Importance of a Constructivist View , 2004, Science.

[78]  K. Evans,et al.  Flexible dispersal strategies in native and non-native ranges: environmental quality and the 'good-stay, bad-disperse' rule , 2012 .

[79]  Cang Hui,et al.  A hybrid behavioural rule of adaptation and drift explains the emergent architecture of antagonistic networks , 2015, Proceedings of the Royal Society B: Biological Sciences.

[80]  R. Macarthur,et al.  On Optimal Use of a Patchy Environment , 1966, The American Naturalist.

[81]  Ulf Dieckmann,et al.  Evolutionary Branching and Sympatric Speciation Caused by Different Types of Ecological Interactions , 2000, The American Naturalist.

[82]  Attila Szolnoki,et al.  Dynamically Generated Cyclic Dominance in Spatial Prisoner's Dilemma Games , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[83]  Sophie G. Martin,et al.  Shaping fission yeast with microtubules. , 2009, Cold Spring Harbor perspectives in biology.

[84]  W. Nelson,et al.  Remodeling epithelial cell organization: transitions between front-rear and apical-basal polarity. , 2009, Cold Spring Harbor perspectives in biology.

[85]  Brian D. Slaughter,et al.  Symmetry breaking in the life cycle of the budding yeast. , 2009, Cold Spring Harbor perspectives in biology.

[86]  M. Loreau,et al.  Niche construction in the light of niche theory. , 2011, Ecology letters.

[87]  Deborah Charlesworth,et al.  Introduction to plant population ecology , 1983, Vegetatio.

[88]  R. Mullins Cytoskeletal mechanisms for breaking cellular symmetry. , 2010, Cold Spring Harbor perspectives in biology.

[89]  F. J. Odling-Smee,et al.  Rethinking Adaptation: The Niche-Construction Perspective , 2003, Perspectives in biology and medicine.

[90]  Jonathan B. Losos,et al.  Adaptive Radiation, Ecological Opportunity, and Evolutionary Determinism , 2010, The American Naturalist.

[91]  Jonathan Dworkin,et al.  Cellular polarity in prokaryotic organisms. , 2009, Cold Spring Harbor perspectives in biology.

[92]  M. W. Adamson,et al.  Revising the Role of Species Mobility in Maintaining Biodiversity in Communities with Cyclic Competition , 2012, Bulletin of Mathematical Biology.

[93]  Attila Szolnoki,et al.  Cyclical interactions with alliance-specific heterogeneous invasion rates. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.