Formulating spread of species with habitat dependent growth and dispersal in heterogeneous landscapes.

Abstract:

:Habitat heterogeneity can have profound effects on the spreading dynamics of invasive species. Using integro-difference equations, we investigate the spreading dynamics in a one-dimensional heterogeneous landscape comprising alternating favourable and unfavourable habitat patches or randomly generated habitat patches with given spatial autocorrelation. We assume that population growth and dispersal (including emigration probability and dispersal distance) are dependent on habitat quality. We derived an approximation of the rate of spread in such heterogeneous landscapes, suggesting the sensitivity of spread to the periodic length of the alternating favourable and unfavourable patches, as well as their spatial autocorrelation. A dispersal-limited population tends to spread faster in landscapes with shorter periodic length. The spreading dynamics in a heterogeneous landscape was found to be not only dependent on the availability of favourable habitats, but also the dispersal strategy. Estimates of time lag before detection and the condition for boom-and-bust spreading dynamics were explained. Furthermore, rates of spread in heterogeneous landscapes and corresponding homogeneous landscapes were compared, using weighted sums of vital rates.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Ramanantoanina A,Hui C

doi

10.1016/j.mbs.2016.02.013

subject

Has Abstract

pub_date

2016-05-01 00:00:00

pages

51-6

eissn

0025-5564

issn

1879-3134

pii

S0025-5564(16)00044-4

journal_volume

275

pub_type

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