6533b825fe1ef96bd128340d

RESEARCH PRODUCT

A nonstationary cylinder-based model describing group dispersal in a fragmented habitat

Antti PenttinenTomáš MrkvičkaSamuel Soubeyrand

subject

Statistics and ProbabilityPoint sourcePopulation92D25Spatial extentFragmentationStatisticsRandom cylinder92D30CylinderQuantitative Biology::Populations and EvolutionObject-based model[INFO]Computer Science [cs]Statistical physics60D05[MATH]Mathematics [math]educationMathematics60G60ta112education.field_of_studyBoolean modelApplied MathematicsFragmentation (computing)Boolean modelDispersal60K37HabitatModeling and Simulation60K9992D40Biological dispersalPopulation vanishing60G55Distribution (differential geometry)

description

International audience; A doubly nonstationary cylinder-based model is built to describe the dispersal of a population from a point source. In this model, each cylinder represents a fraction of the population, i.e., a group. Two contexts are considered: The dispersal can occur in a uniform habitat or in a fragmented habitat described by a conditional Boolean model. After the construction of the models, we investigate their properties: the first and second order moments, the probability that the population vanishes, and the distribution of the spatial extent of the population.

10.1080/15326349.2014.868734https://hal.inrae.fr/hal-02635017