Spatial pattern and power function deviation in a cellular automata model of an ant population

A spatially explicit model previously developed to apply to a population of arboreal nesting ants in southern Mexico is explored in detail, including notions of criticality and robust criticality and expected power law adjustment.

[1]  Mercedes Pascual,et al.  Broad scaling region in a spatial ecological system , 2003, Complex..

[2]  R. May.  Thresholds and breakpoints in ecosystems with a multiplicity of stable states , 1977, Nature.

[3]  Bernhard Schmid,et al.  Janzen-Connell effects are widespread and strong enough to maintain diversity in grasslands. , 2008, Ecology.

[4]  Marten Scheffer,et al.  Spatial correlation as leading indicator of catastrophic shifts , 2010, Theoretical Ecology.

[5]  J. Timothy Wootton,et al.  Local interactions predict large-scale pattern in empirically derived cellular automata , 2001, Nature.

[6]  T. Höök,et al.  Increased competition may promote species coexistence , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[7]  J. Vandermeer,et al.  Clusters of ant colonies and robust criticality in a tropical agroecosystem , 2008, Nature.

[8]  Michael Mitzenmacher,et al.  A Brief History of Generative Models for Power Law and Lognormal Distributions , 2004, Internet Math..

[9]  Mark E. J. Newman,et al.  Power-Law Distributions in Empirical Data , 2007, SIAM Rev..

[10]  Mercedes Pascual,et al.  Cluster size distributions: signatures of self-organization in spatial ecologies. , 2002, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[11]  M. Pascual,et al.  Competitive coexistence through intermediate polyphagy , 2006 .

[12]  R. J. Pool,et al.  Plant Succession. An Analysis of the Development of Vegetation , 1917 .

[13]  M. Rietkerk,et al.  Self-Organized Patchiness and Catastrophic Shifts in Ecosystems , 2004, Science.

[14]  M. Rietkerk,et al.  Robust scaling in ecosystems and the meltdown of patch size distributions before extinction. , 2011, Ecology letters.

[15]  S. Carpenter,et al.  Anticipating Critical Transitions , 2012, Science.

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

[17]  H. Liere,et al.  Ecological Complexity in a Coffee Agroecosystem: Spatial Heterogeneity, Population Persistence and Biological Control , 2012, PloS one.

[18]  Patrick H. Martin,et al.  Dispersal and recruitment limitation in native versus exotic tree species: life‐history strategies and Janzen‐Connell effects , 2010 .

[19]  Berkeley,et al.  Critical transitions in nature and society , 2009, Choice Reviews Online.

[20]  S. Carpenter,et al.  Early-warning signals for critical transitions , 2009, Nature.

[21]  D. Lathrop.  Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering , 2015 .

[22]  Ulf Dieckmann,et al.  The Geometry of Ecological Interactions: Simplifying Spatial Complexity , 2000 .

[23]  Derin B. Wysham,et al.  Regime shifts in ecological systems can occur with no warning. , 2010, Ecology letters.

[24]  M. Newman.  Power laws, Pareto distributions and Zipf's law , 2005 .

[25]  V. Shelford.  Animal Communities in Temperate America: As Illustrated in the Chicago Region , 2012 .

[26]  Peter Kareiva,et al.  Spatial ecology : the role of space in population dynamics and interspecific interactions , 1998 .