The principal investigator, along with Dr. Donnelley from England, will continue the research in mathematical models in molecular evolution and population biology. The particular problems are quite diverse and build on the results previously obtained by their collaboration. A more powerful statistical test for neutrality will be designed assuming that the age- ordering of the alleles in the sample is known. Asymptotic theory will show that the weak limit for the age-ordered allele frequencies of a range of exchangeable models lead to the GEM distribution. The canonical representation of the genealogical urn model will be used to provide more detailed description of the evolution of the population. Distribution of the segregating sites in a sample from a stationary population of an infinitely- many sites model will be found. New statistical methods will be developed for the analyses of substitution rates and divergence times in pairs of homologous sequences.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
8803284
Program Officer
Peter Arzberger
Project Start
Project End
Budget Start
1988-07-01
Budget End
1990-12-31
Support Year
Fiscal Year
1988
Total Cost
$65,634
Indirect Cost
Name
University of Utah
Department
Type
DUNS #
City
Salt Lake City
State
UT
Country
United States
Zip Code
84112