Probability that a Sequence is Lost Without Trace Under the Neutral Wright–Fisher Model with Recombination

Badri K. Padhukasahasram ()
Additional contact information
Badri K. Padhukasahasram: University of California Davis

Methodology and Computing in Applied Probability, 2013, vol. 15, issue 4, 919-933

Abstract: Abstract I describe an approximate formula for calculating the short-term probability of loss of a sequence under the neutral Wright–Fisher model with recombination. I also present an upper and lower bound for this probability. Exact analytical calculation of this quantity is difficult and computationally expensive because the number of different ways in which a sequence can be lost, grows very large in the presence of recombination. Simulations indicate that the probabilities obtained using my approximation are always comparable to the true expectations provided that the number of generations remains small. These results are useful in the context of an algorithm that we recently developed for simulating Wright–Fisher populations forward in time.

Keywords: Recombination; Probability of loss; Short term behaviour; Wright Fisher model; Forward Wright–Fisher simulations; 60J05 (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11009-012-9288-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:metcap:v:15:y:2013:i:4:d:10.1007_s11009-012-9288-5

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/11009

DOI: 10.1007/s11009-012-9288-5

Access Statistics for this article

Methodology and Computing in Applied Probability is currently edited by Joseph Glaz

More articles in Methodology and Computing in Applied Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().