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Invasion Tom and Uno. No previous study on invasion in heterogenous landscape. Applies to spread of disease and invasion/colonization of populations in new areas. Previous is made on homogeneous landscapes Combining Flexible dispersal kernel heterogenous landscape
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InvasionTom and Uno • No previousstudy on invasion in heterogenous landscape. • Applies to spread of disease and invasion/colonization of populations in new areas. • Previous is made on homogeneous landscapes • Combining • Flexible dispersalkernel • heterogenous landscape • Point pattern landscape
methodology • Dispersalkernel – variance vs kurtosis • Generatingheterogenouspoint pattern landscape • Usingfourier transform (more flexible) • Developing previous FT point pattern methodology to • Continuitymeasure – 1/f • Contrastmeasure - CV (variance) • Analysingheterogenouspoint pattern landscape • Developing spectral mimicry to measureContinuity and Contrast
Results • Not simple straightforwardsincemany parameters • Kurtosisbecomesimportant • Itsimportancemainlydepends on contrast • Kurtosis less importantwhen spatial speed than proportion colonized (espinitially) • Relative distances makes kurtosis less important – closer to homogenous landscapes less distancedependentdispersal
Spatial speed Colonizational speed
Observed spatial distributions Illustrate that alsopossible to measureContinuity and Contrast Illustratewhatvalues to expect on continuity and contrast
summary • Kurtosisbecomesveryimportant in heterogenous landscapes • Depends on landscape • New demands on theory and empirical data: • Kurtosis • Continuity and contrast