On the width of hybrid zones
Publication
, Journal Article
Durrett, R; Zähle, I
Published in: Stochastic Processes and their Applications
December 1, 2007
Hybrid zones occur when two species are found in close proximity and interbreeding occurs, but the species' characteristics remain distinct. These systems have been treated in the biology literature using partial differential equations models. Here we investigate a stochastic spatial model and prove the existence of a stationary distribution that represents the hybrid zone in equilibrium. We calculate the width of the hybrid zone, which agrees with the PDE formula only in dimensions d ≥ 3. Our results also give insight into properties of hybrid zones in patchy environments. © 2007 Elsevier Ltd. All rights reserved.
Duke Scholars
Published In
Stochastic Processes and their Applications
DOI
ISSN
0304-4149
Publication Date
December 1, 2007
Volume
117
Issue
12
Start / End Page
1751 / 1763
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0104 Statistics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Durrett, R., & Zähle, I. (2007). On the width of hybrid zones. Stochastic Processes and Their Applications, 117(12), 1751–1763. https://doi.org/10.1016/j.spa.2006.05.017
Durrett, R., and I. Zähle. “On the width of hybrid zones.” Stochastic Processes and Their Applications 117, no. 12 (December 1, 2007): 1751–63. https://doi.org/10.1016/j.spa.2006.05.017.
Durrett R, Zähle I. On the width of hybrid zones. Stochastic Processes and their Applications. 2007 Dec 1;117(12):1751–63.
Durrett, R., and I. Zähle. “On the width of hybrid zones.” Stochastic Processes and Their Applications, vol. 117, no. 12, Dec. 2007, pp. 1751–63. Scopus, doi:10.1016/j.spa.2006.05.017.
Durrett R, Zähle I. On the width of hybrid zones. Stochastic Processes and their Applications. 2007 Dec 1;117(12):1751–1763.
Published In
Stochastic Processes and their Applications
DOI
ISSN
0304-4149
Publication Date
December 1, 2007
Volume
117
Issue
12
Start / End Page
1751 / 1763
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0104 Statistics
- 0102 Applied Mathematics