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A Pair-Approximation Model for Spatial Patterns in Tree Populations with Asymmetrical Resource Competition

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  • JOSEP L. GARCIA-DOMINGO
  • JOAN SALDAÑA

Abstract

A pair-approximation model for the spatial dynamics of a height-structured tree population is defined on a regular lattice where each site can be in 1 of 3 states: empty (gap site), occupied by an immature tree, and occupied by a mature tree. The nonlinearities are associated with resource competition effects of mature trees on immature ones (asymmetric competition) affecting the mortality of the latter but not their growth. The survival--extinction transition of the forest is expressed; the early dynamics of colonization are described in terms of local densities. Predictions of the pair-approximation model are compared with results from numerical simulations of cellular automata.

Suggested Citation

  • Josep L. Garcia-Domingo & Joan Saldaña, 2013. "A Pair-Approximation Model for Spatial Patterns in Tree Populations with Asymmetrical Resource Competition," Mathematical Population Studies, Taylor & Francis Journals, vol. 20(4), pages 175-191, October.
    • Handle: RePEc:taf:mpopst:v:20:y:2013:i:4:p:175-191
    DOI: 10.1080/08898480.2013.831698
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    References listed on IDEAS

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    1. Renan Goetz & Angels Xabadia & Elena Calvo, 2011. "Optimal Forest Management in the Presence of Intraspecific Competition," Mathematical Population Studies, Taylor & Francis Journals, vol. 18(3), pages 151-171.
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