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4 results for “Lévy process”
Simulation for "Asymptotic Behavior for a Time-Inhomogeneous Stochastic Differential Equation Driven by an α-Stable Lévy Process"
<p>The code and the video are related to the article G.Mihai, and E. Luirard. « Asymptotic Behavior for a Time-Inhomogeneous Stochastic Differential Equation Driven by an α-Stable Lévy Process », available on http://arxiv.org/abs/2112.07287.</p>
Data from: Inference of evolutionary jumps in large phylogenies using Lévy processes
While it is now widely accepted that the rate of phenotypic evolution may not necessarily be constant across large phylogenies, the frequency and phylogenetic position of periods of rapid evolution remain unclear. In his highly influential view of evolution, G. G. Simpson supposed that such evolutionary jumps occur when organisms transition into so called new adaptive zones, for instance after dispersal into a new geographic area, after rapid climatic changes, or following the appearance of an evolutionary novelty. Only recently, large, accurate and well calibrated phylogenies have become available that allow testing this hypothesis directly, yet inferring evolutionary jumps remains computationally very challenging. Here, we develop a computationally highly efficient algorithm to accurately infer the rate and strength of evolutionary jumps as well as their phylogenetic location. Following previous work we model evolutionary jumps as a compound process, but introduce a novel approach to sample jump configurations that does not require matrix inversions and thus naturally scales to large trees. We then make use of this development to infer evolutionary jumps in Anolis lizards and Loriinii parrots where we find strong signal for such jumps at the basis of clades that transitioned into new adaptive zones, just as postulated by Simpson's hypothesis.
Data from: Phylogenetic analysis using Lévy processes: finding jumps in the evolution of continuous traits
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Data from: Inference of evolutionary jumps in large phylogenies using Lévy processes
Open the record for dataset details and reuse information.
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