Some inequalities for theoretical spatial ecology
Slade, Paul
ANZIAM Journal, Tome 55 (2014), / Harvested from Australian Mathematical Society
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An important open problem in fully-structured spatial population dynamics, particularly those of competing plant communities, is a rigorous justification of the key assumption required for the pair-approximations of lattice models in statistical mechanics introduced to theoretical ecology by H. Matsuda, K. Sato and Y. Iwasa, among others. A similar assumption is made in the derivation of the spatially continuous moment equations introduced by B.M. Bolker and S. Pacala (1997, Theor. Popul. Biol., 52: 179-197). Towards this aim, upper bounds of the k-th central moment in the contact process of a single spatial dimension are precisely derived. The proof of this result explains, from an analytical perspective, why moment closure methodologies of spatial ecology can be so effective. doi:10.1017/S1446181113000266

Publié le : 2014-01-01
DOI : https://doi.org/10.21914/anziamj.v55i0.6680 
@article{6680,
     title = {Some inequalities for theoretical spatial ecology},
     journal = {ANZIAM Journal},
     volume = {55},
     year = {2014},
     doi = {10.21914/anziamj.v55i0.6680},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/6680}
}

Slade, Paul. Some inequalities for theoretical spatial ecology. ANZIAM Journal, Tome 55 (2014) . doi : 10.21914/anziamj.v55i0.6680. http://gdmltest.u-ga.fr/item/6680/