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

Josep L. Garcia-Domingo and Joan Saldaña

Mathematical Population Studies, 2013, vol. 20, issue 4, 175-191

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.

Date: 2013
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DOI: 10.1080/08898480.2013.831698

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