A model for random fire induced tree-grass coexistence in savannas

Paweł Klimasara, and Marta Tyran-Kamińska. "A model for random fire induced tree-grass coexistence in savannas." Mathematica Applicanda 46.1 (2018): null. <http://eudml.org/doc/293489>.

@article{PawełKlimasara2018,
abstract = {Tree-grass coexistence in savanna ecosystems depends strongly on environmental disturbances out of which crucial is fire. Most modeling attempts in the literature lack stochastic approach to fire occurrences which is essential to reflect their unpredictability. Existing models that actually include stochasticity of fire are usually analyzed only numerically. We introduce minimalistic model of tree-grass coexistence where fires occur according to stochastic process. We use the tools of linear semigroup theory to provide more careful mathematical analysis of the model. Essentially we show that there exists a unique stationary distribution of tree and grass biomasses.},
author = {Paweł Klimasara, Marta Tyran-Kamińska},
journal = {Mathematica Applicanda},
keywords = {savanna, ecology, fire-vegetation feedbacks, tree-grass coexistence, stochastic modelling, piecewise deterministic Markov processes},
language = {eng},
number = {1},
pages = {null},
title = {A model for random fire induced tree-grass coexistence in savannas},
url = {http://eudml.org/doc/293489},
volume = {46},
year = {2018},
}

TY - JOUR
AU - Paweł Klimasara
AU - Marta Tyran-Kamińska
TI - A model for random fire induced tree-grass coexistence in savannas
JO - Mathematica Applicanda
PY - 2018
VL - 46
IS - 1
SP - null
AB - Tree-grass coexistence in savanna ecosystems depends strongly on environmental disturbances out of which crucial is fire. Most modeling attempts in the literature lack stochastic approach to fire occurrences which is essential to reflect their unpredictability. Existing models that actually include stochasticity of fire are usually analyzed only numerically. We introduce minimalistic model of tree-grass coexistence where fires occur according to stochastic process. We use the tools of linear semigroup theory to provide more careful mathematical analysis of the model. Essentially we show that there exists a unique stationary distribution of tree and grass biomasses.
LA - eng
KW - savanna, ecology, fire-vegetation feedbacks, tree-grass coexistence, stochastic modelling, piecewise deterministic Markov processes
UR - http://eudml.org/doc/293489
ER -