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[Fwd: abstract for math bio.]



This week's speaker is Eric Anderson.   His talk and title are here for
all to see.


As in all quarters past and future, we meet in 114 Kincaid Hall, 1230
W,F.



The Management




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"Genetic analysis of hybridizing populations"

I intend to spend Wednesday talking about a project that I've worked 
on for about a year or so. I haven't yet talked about it in Math Bio. 
The abstract for the paper I submitted on it is, in part:

Biologists regularly encounter populations of organisms with 
disparate ancestries. Untangling the composition of such populations 
is a problem for conservation biologists and wildlife managers. In 
many cases the population under question is known to consist of 
individuals from two different subpopulations and their hybrids. This 
occurs, for example, in hybrid zones between two species or in 
regions recently colonized by exotics capable of reproducing with 
resident inhabitants. This paper develops techniques using multilocus 
genetic data for Bayesian clustering of individuals to purebred or 
genetically-mixed categories. The method relies on a novel 
application of the forward-backward recursions in a two-component, 
finite mixture model.  Though developed in the context of the genetic 
admixture problem, these calculations are relevant more generally to 
Bayesian inference in finite mixtures; they may potentially improve 
mixing of the Gibbs sampler in such contexts. The technique is 
applied to genetic data on the Scottish wildcat, Felis sylvestris, a 
protected species whose distinctness from domestic housecats has been 
questioned. A high proportion ( around 60%) of the wild-living cats 
from which the sample was drawn are arguably purebred F. sylvestris.

The full manuscript is available at 
http://students.washington.edu/eriq/writings/eric_anderson_JABES.pdf

On Friday I intend to talk about how I would like to extend/modify 
these methods to a large dataset on steelhead/cutthroat trout hybrids 
from the National Marine Fisheries Service.  This is work in 
progress, that with any luck, will eventually yield some results 
relevant to an abstract that sounds like:

A pervasive concern in the conservation of salmonids is hybridization 
between different populations and species. For example, small, wild 
populations might encounter substantial gene flow from fish straying 
from hatcheries. Also, the use of genetic data in helping to 
delineate "evolutionarily significant units" may be complicated by 
naturally-occurring hybridization between closely related species. 
However, ongoing hybridization between genetically dissimilar 
populations leads to predictable changes in the frequency of 
multilocus genotypes, and so may be investigated using genetic marker 
data. I will review recent advances in Bayesian methods for analyzing 
genetic data from populations containing hybrids. I illustrate these 
versatile methods by using them to estimate allele frequencies and to 
identify coastal cutthroat trout, steelhead trout, and their hybrids 
in samples of juvenile fish taken from Oregon and Washington.


--------------
Eric Anderson			Interdisciplinary Program in Quantitative
				Ecology and Resource Management

Mailing Address:			Office:
	Department of Statistics		Padelford Hall, C-312
	University of Washington	Phone:
	Box 354322				(206) 685-8969  (wk)
	Seattle, WA 98195			(206) 634-3204  (hm)

URL:  http://students.washington.edu/eriq/
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