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Cluster formation in a stepping-stone model with continuous, hierarchically structured sites - MaRDI portal

Cluster formation in a stepping-stone model with continuous, hierarchically structured sites (Q674508)

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scientific article; zbMATH DE number 986791
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Cluster formation in a stepping-stone model with continuous, hierarchically structured sites
scientific article; zbMATH DE number 986791

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    Cluster formation in a stepping-stone model with continuous, hierarchically structured sites (English)
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    24 September 1997
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    A stepping-stone model with space a continuous, hierarchical group, is constructed via duality with a system of (delayed) coalescing ``stable'' Lévy processes. This model can be understood as a continuum limit of discrete state-space, two allele, genetics models with hierarchically structured resampling and migration. The existence of a process rescaling limit on suitably related large space and time scales is established and interpreted in terms of the dynamics of cluster formation.
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    cluster formation
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    stepping-stone model
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    Lévy processes
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    genetics models
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    dynamics of cluster formation
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