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Invasion Tom and Uno

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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Invasion Tom and Uno

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  1. 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

  2. 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

  3. 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

  4. Spatial speed Colonizational speed

  5. Observed spatial distributions Illustrate that alsopossible to measureContinuity and Contrast Illustratewhatvalues to expect on continuity and contrast

  6. summary • Kurtosisbecomesveryimportant in heterogenous landscapes • Depends on landscape • New demands on theory and empirical data: • Kurtosis • Continuity and contrast

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