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É.V.P. Rácz Department of Environmental Engineering, Széchenyi István University Egyetem tér 1. H-9026, Győr, Hungary

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J. Karsai Department of Medical Informatics, University of Szeged Korányi fasor 9. H-6720, Szeged, Hungary

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We used cellular automata models to investigate the effect of initial pattern geometry on competition. We measured the average proportion of sites with foreign neighbours to track interspecific segregation during pattern development. Our simulation results show that intraspecific aggregation can considerably slow down the extinction of the weaker competitor. A series of experiments was performed to estimate the expected time to extinction for the weaker species. The perimeter-to-area ratio of the initial configuration proved to be an adequate determinant of expected timeto- extinction. Furthermore, we demonstrated that the degree of aggregation is closely related to the local density dependence of the colonization functions.

  • Amarasekare, P. 2003. Competitive coexistence in spatially structured environments: a synthesis. Ecology Letters 6:1109-1122.

    'Competitive coexistence in spatially structured environments: a synthesis ' () 6 Ecology Letters : 1109 -1122 .

    • Search Google Scholar
  • Bolker, B. M. and S. W. Pacala. 1997. Using moment equations to understand stochastically driven spatial pattern formation in ecological systems. Theor. Popul. Biol. 52:179-197.

    'Using moment equations to understand stochastically driven spatial pattern formation in ecological systems ' () 52 Theor. Popul. Biol. : 179 -197 .

    • Search Google Scholar
  • Bolker, B. M. and S. W. Pacala. 1999. Spatial moment equations for plant competition: understanding spatial strategies and the advantages of short dispersal. Am. Nat. 153:575-602.

    'Spatial moment equations for plant competition: understanding spatial strategies and the advantages of short dispersal ' () 153 Am. Nat. : 575 -602 .

    • Search Google Scholar
  • Bolker, B. M., S. W. Pacala and C. Neuhauser. 2003. Spatial dynamics in model plant communities: What do we really know? Am. Nat. 162:135-148.

    'Spatial dynamics in model plant communities: What do we really know? ' () 162 Am. Nat. : 135 -148 .

    • Search Google Scholar
  • Burks, A. W. 1970. Von Neumann's self-reproducting automata. In:A. W.Burks (ed), Essays on Cellular Automata. University of Illinois Press, Urbana, pp. 3-64.

    Von Neumann's self-reproducting automata , () 3 -64 .

  • Chesson, P. and C. Neuhauser. 2002. Intraspecific aggregation and species coexistence. TREE 17: 210-211.

    'Intraspecific aggregation and species coexistence ' () 17 TREE : 210 -211 .

  • Crawley, M. J. and R. M. May. 1987. Population dynamics and plant community structure: competition between annuals and perennials. J. Theor. Biol. 125: 475-489.

    'Population dynamics and plant community structure: competition between annuals and perennials ' () 125 J. Theor. Biol. : 475 -489 .

    • Search Google Scholar
  • Czárán, T. 1998. Spatiotemporal Models of Population and Community Dynamics. Chapman & Hall, London.

    Spatiotemporal Models of Population and Community Dynamics , ().

  • Dieckman, U., R. Law and J. A. J. Metz (eds.), 2000. The Geometry of Ecological Interactions. Simplifying Spatial Complexity. Cambridge University Press, UK.

    The Geometry of Ecological Interactions , ().

  • Doncaster, C. P., G. E. Pound and S. J. Cox. 2003. Dynamics of regional coexistence for more or less equal competitors. J. Anim. Ecol. 72: 116-126.

    'Dynamics of regional coexistence for more or less equal competitors ' () 72 J. Anim. Ecol. : 116 -126 .

    • Search Google Scholar
  • Durrett, R. and S. Levin. 1998. Spatial aspects of interspecific competition. Theor. Popul. Biol. 53:30-43.

    'Spatial aspects of interspecific competition ' () 53 Theor. Popul. Biol. : 30 -43 .

  • Dytham, C. 1994. Habitat destruction and competitive coexistence: a cellular model. J. Anim. Ecol. 63:490-491.

    'Habitat destruction and competitive coexistence: a cellular model ' () 63 J. Anim. Ecol. : 490 -491 .

    • Search Google Scholar
  • Dytham, C. 1995. The effect of habitat destruction pattern on species persistence: a cellular model. Oikos 74:340-344.

    'The effect of habitat destruction pattern on species persistence: a cellular model ' () 74 Oikos : 340 -344 .

    • Search Google Scholar
  • Gandhi, A., S. Levin and S. Orszag. 1998. "Critical slowing down" in time-to-extiniction: an example of critical phenomena in ecology. J. theor. Biol. 192:363-376.

    '"Critical slowing down" in time-to-extiniction: an example of critical phenomena in ecology ' () 192 J. theor. Biol. : 363 -376 .

    • Search Google Scholar
  • Gandhi, A., S. Levin and S. Orszag. 1999. Nucleation and relaxation from meta-stability in spatial ecological models. J. theor. Biol. 200:121-146.

    'Nucleation and relaxation from meta-stability in spatial ecological models ' () 200 J. theor. Biol. : 121 -146 .

    • Search Google Scholar
  • Gause, G. F. 1934. The Struggle for Existence. Williams & Wilkins, Baltimore, Maryland, USA.

    The Struggle for Existence , ().

  • Gaylord, R. J. and K. Nishidate. 1996. Modeling Nature: Cellular Automata Simulations with Mathematica. Springer, New York.

    Modeling Nature: Cellular Automata Simulations with Mathematica , ().

  • Holmes, E. E. and H. B. Wilson. 1998. Running from trouble: long-distance dispersal and the competitive coexistence of inferior species. Am. Nat. 151:578-586.

    'Running from trouble: long-distance dispersal and the competitive coexistence of inferior species ' () 151 Am. Nat. : 578 -586 .

    • Search Google Scholar
  • Ittzés, P., É. Jakó, Á. Kun, A. Kun and J. Podani. 2005. A discrete mathematical method for the analysis of spatial pattern. Community Ecology 6:177-190.

    'A discrete mathematical method for the analysis of spatial pattern ' () 6 Community Ecology : 177 -190 .

    • Search Google Scholar
  • Ives, A. R. 1988. Aggregation and the coexistence of competitors. Ann. Zool. Fennici 25:75-88.

    'Aggregation and the coexistence of competitors ' () 25 Ann. Zool. Fennici : 75 -88 .

    • Search Google Scholar
  • Kneitel, J.M. and J. M. Chase. 2004. Trade-offs in community ecology: linking spatial scales and species coexistence. Ecology Letters 7:69-90.

    'Trade-offs in community ecology: linking spatial scales and species coexistence ' () 7 Ecology Letters : 69 -90 .

    • Search Google Scholar
  • Korniss, G. and T. Caraco. 2005. Spatial dynamics of invasion: the geometry of introduced species. J. theor Biol. 233: 137-150.

    'Spatial dynamics of invasion: the geometry of introduced species ' () 233 J. theor Biol. : 137 -150 .

    • Search Google Scholar
  • Kun, Á. and B. Oborny. 2003. Survival and competition of clonal plant populations in spatially and temporally heterogeneous habitats. Community Ecology 4: 1-20.

    'Survival and competition of clonal plant populations in spatially and temporally heterogeneous habitats ' () 4 Community Ecology : 1 -20 .

    • Search Google Scholar
  • Levins, R. 1969. Some demographic and genetic consequences of environmental heterogeneity for biological control. Bulletin of the Entomological Society of America 15:237-240.

    'Some demographic and genetic consequences of environmental heterogeneity for biological control ' () 15 Bulletin of the Entomological Society of America : 237 -240 .

    • Search Google Scholar
  • Molofsky, J. 1994. Population dynamics and pattern formation in theoretical populations. Ecology 75: 30-39.

    'Population dynamics and pattern formation in theoretical populations ' () 75 Ecology : 30 -39 .

    • Search Google Scholar
  • Molofsky, J., J. D. Bever, J. Antonovics and T. J. Newman. 2002. Negative frequency dependence and the importance of spatial scale. Ecology 83:21-27.

    'Negative frequency dependence and the importance of spatial scale ' () 83 Ecolog : 21 -27 .

    • Search Google Scholar
  • Molofsky, J., R. Durrett, J. Dushoff, D. Griffeath and S. Levin. 1999. Local frequency dependence and global coexistence. Theor. Popul. Biol. 55:270-282.

    'Local frequency dependence and global coexistence ' () 55 Theor. Popul. Biol. : 270 -282 .

    • Search Google Scholar
  • Murray, J. D. 1989. Mathematical Biology. Springer-Verlag, Berlin, Germany.

    Mathematical Biology , ().

  • Murrell, D. J. and R. Law. 2003. Heteromyopia and the spatial coexistence of similar competitors. Ecology Letters 6: 48-59.

    'Heteromyopia and the spatial coexistence of similar competitors ' () 6 Ecology Letters : 48 -59 .

    • Search Google Scholar
  • Murrell, D. J, D. W. Purves, and R. Law. 2001. Uniting pattern and process in plant ecology. TREE 16: 529-530.

    'Uniting pattern and process in plant ecology ' () 16 TREE : 529 -530 .

  • Nee, S. and R. R. May. 1992. Dynamics of metapopulations: Habitat destruction and competitive coexistence. J. Anim. Ecol. 61:37-40.

    'Dynamics of metapopulations: Habitat destruction and competitive coexistence ' () 61 J. Anim. Ecol. : 37 -40 .

    • Search Google Scholar
  • Neuhauser, C. 1992. Ergodic theorems for the multitype contact process. Probab. Theory Related Fields 91:467-506

    'Ergodic theorems for the multitype contact process ' () 91 Probab. Theory Related Fields : 467 -506 .

    • Search Google Scholar
  • Neuhauser, C. 1998. Habitat destruction and competitive coexistence in spatially explicit models with local interactions. J. theor. Biol. 193:445-463.

    'Habitat destruction and competitive coexistence in spatially explicit models with local interactions ' () 193 J. theor. Biol. : 445 -463 .

    • Search Google Scholar
  • Neuhauser, C. 2001. Mathematical challenges in spatial ecology. Notices of the AMS 48:1304-1314.

    'Mathematical challenges in spatial ecology ' () 48 Notices of the AMS : 1304 -1314 .

    • Search Google Scholar
  • Pimentel, D., S. McNair, J. Wightman, C. Simmonds, C. O'Connell, E. Wong, E. Russel, J. Zern, T. Aquino, and T. Tsomondo. 2001. Economic and environmental threats of alien plant, animal and microbial invasions. Agriculture, Ecosystems and Environment 84: 1-20

    'Economic and environmental threats of alien plant, animal and microbial invasions ' () 84 Agriculture, Ecosystems and Environment : 1 -20 .

    • Search Google Scholar
  • Plotkin J. B., M. D. Potts, N. Leslie, N. Manokaran, J. LaFrankie and P. S. Ashton. 2000. Species area curves, spatial aggregation, and habitat specialization in tropical forests. J. theor. Biol. 207:81-99

    'Species area curves, spatial aggregation, and habitat specialization in tropical forests ' () 207 J. theor. Biol. : 81 -99 .

    • Search Google Scholar
  • Rácz, É V. P. and J. Karsai. 2003. Computer simulation results for cellular automata models of some ecological systems. Folia FSN Universitatis Masarykianae Brunniensis Mathematica 13:213-221.

    'Computer simulation results for cellular automata models of some ecological systems ' () 13 Folia FSN Universitatis Masarykianae Brunniensis Mathematica : 213 -221 .

    • Search Google Scholar
  • Silvertown, J. 2004. Plant coexistence and the niche. TREE 19:605-611.

    'Plant coexistence and the niche ' () 19 TREE : 605 -611 .

  • Silvertown, J., Holtier, S., Johnson J. and P. Dale. 1992. Cellular automaton models of interspecific comperition for space - the effect of pattern on process. J. Ecol. 80:527-534.

    'Cellular automaton models of interspecific comperition for space - the effect of pattern on process ' () 80 J. Ecol. : 527 -534 .

    • Search Google Scholar
  • Silvertown, J. and J. B. Wilson. 2000. Spatial interactions among grassland plant populations. In: U. Dieckman, R. Law and J. A. J. Metz (eds.),The Geometry of Ecological Interactions. Simplifying Spatial Complexity. Cambridge Univ. Press, Cambridge, pp. 28-47.

    Spatial interactions among grassland plant populations , () 28 -47 .

  • Skellam, J. G. 1951. Random dispersal in theoretical populations. Biometrika 38:196-218.

    'Random dispersal in theoretical populations ' () 38 Biometrika : 196 -218 .

  • Tilman, D. 1994. Competition and biodiversity in spatially structured habitats. Ecology 75:2-16.

    'Competition and biodiversity in spatially structured habitats ' () 75 Ecology : 2 -16 .

    • Search Google Scholar
  • Tilman, D. and P. Kareiva (eds) 1997. Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions. Princeton University Press, New Jersey.

    Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions , ().

    • Search Google Scholar
  • Tilman, D. and C. L. Lehman. 1997. Habitat destruction and species extinctions. In: D. Tilman, and P. Kareiva (eds), Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions. Princeton University Press, New Jersey, pp. 233-249

    Habitat destruction and species extinctions , () 233 -249 .

  • Turner, M. G., R. H. Gardner and R. V. O'Neill. 1999. Landscape Ecology in Theory and Practice: Pattern and Process. Springer-Verlag, New York.

    Landscape Ecology in Theory and Practice: Pattern and Process , ().

  • von Neumann, J. 1966. Theory of Self-Reproducing Automata. University of Illinois Press, Urbana.

    Theory of Self-Reproducing Automata , ().

  • Wolfram, S. 1986. Theory and Applications of Cellular Automata. World Scientific, Singapore.

    Theory and Applications of Cellular Automata , ().

  • Wolfram, S. 2002. A New Kind of Science. Wolfram Media, Champaign, IL.

    A New Kind of Science , ().

  • Yu, D. W., H. B. Wilson. 2001. The competition-colonization trade-off is dead; long live the competition-colonization trade-off. Am. Nat. 158:49-63.

    'The competition-colonization trade-off is dead; long live the competition-colonization trade-off ' () 158 Am. Nat. : 49 -63 .

    • Search Google Scholar
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Community Ecology
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