Linearization of the Kingman Coalescent
نویسندگان
چکیده
منابع مشابه
A unified multi-resolution coalescent: Markov lumpings of the Kingman-Tajima n-coalescent
In this paper, we formulate six different resolutions of a continuous-time approximation of the Wright-Fisher sample genealogical process. We derive Markov chains for the six different approximations in the spirit of J.F.C. Kingman. These Markov chains are essential for inference methods. One of the resolutions is the well-known n-coalescent due to Kingman. The second resolution was mentioned b...
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We consider a continuous population whose dynamics is described by the standard stationary Fleming-Viot process, so that the genealogy of n uniformly sampled individuals is distributed as the Kingman n-coalescent. In this note, we study some genealogical properties of this population when the sample is conditioned to fall entirely into a subpopulation with most recent common ancestor (MRCA) sho...
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Many summary statistics currently used in population genetics and in phylogenetics depend only on a rather coarse resolution of the underlying tree (the number of extant lineages, for example). Hence, for computational purposes, working directly on these resolutions appears to be much more efficient. However, this approach seems to have been overlooked in the past. In this paper, we describe si...
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This paper presents some general formulas for random partitions of a finite set derived by Kingman’s model of random sampling from an interval partition generated by subintervals whose lengths are the points of a Poisson point process. These lengths can be also interpreted as the jumps of a subordinator, that is an increasing process with stationary independent increments. Examples include the ...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2018
ISSN: 2227-7390
DOI: 10.3390/math6050082