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SUMMARY:A Cauchy process to model trait evolution on a phylogeny
DTSTART;VALUE=DATE-TIME:20221018T121500Z
DTEND;VALUE=DATE-TIME:20221018T131500Z
DTSTAMP;VALUE=DATE-TIME:20230129T101600Z
UID:indico-event-8588@indico.math.cnrs.fr
DESCRIPTION:Speakers: Paul Bastide (IMAG\, Université de Montpellier\, CN
RS)\n\nPhylogenetic comparative methods correct for the shared evolutionar
y history among a set of non-independent organisms by modeling the sampled
continuous trait as arising from a diffusion process along the branches o
f a phylogenetic tree. Beyond the Brownian motion\, several processes have
been proposed in the literature\, either Gaussian\, in which case efficie
nt algorithms relying on the Kalman filter are available\, or based on mor
e general Lévy processes\, that can model a realistic evolution with jump
s\, but that are computationally intensive. Here\, we propose to use a Cau
chy process\, for which we derive a recursive algorithm to compute the lik
elihood in a polynomial time. The Cauchy process is a pure jump process\,
that can also be seen as a Brownian motion with an inverse gamma relaxed v
ariance parameter. It is already widely used to model virus spatial diffus
ion in phylodynamics approaches\, as it can capture both small scale and l
arge scale diffusion events\, that are common in an epidemics. It can also
be used in ecology to account for the heterogeneous evolution of function
al traits of related organisms on long time scales.\n\nhttps://indico.math
.cnrs.fr/event/8588/
LOCATION:GI - UTC
URL:https://indico.math.cnrs.fr/event/8588/
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