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Models of invasive species spread often assume that landscapes are spatiallyhomogeneous; thus simplifying analysis but potentially reducing accuracy. Weextend a recently developed partial differential equation model for invasiveconifer spread to account for spatial heterogeneity in parameter values andintroduce a method to obtain key outputs (e.g. spread rates) from computationalsimulations. Simulations produce patterns of spatial spread remarkably similarto observed patterns in grassland ecosystems invaded by exotic conifers,validating our spatially explicit strategy. We find that incorporating spatialvariation in different parameters does not significantly affect the evolutionof invasions (which are characterised by a long quiescent period followed byrapid evolution towards to a constant rate of invasion) but that distributionalassumptions can have a significant impact on the spread rate of invasions. Ourwork demonstrates that spatial variation in site-suitability or otherparameters can have a significant impact on invasions

Partial differential equation models for invasive species spread in the presence of spatial heterogeneity