Abstract:
:We derive point and interval estimates for an urban population of green tree frogs (Hyla cinerea) from capture-mark-recapture field data obtained during the years 2006-2009. We present an infinite-dimensional least-squares approach which compares a mathematical population model to the statistical population estimates obtained from the field data. The model is composed of nonlinear first-order hyperbolic equations describing the dynamics of the amphibian population where individuals are divided into juveniles (tadpoles) and adults (frogs). To solve the least-squares problem, an explicit finite difference approximation is developed. Convergence results for the computed parameters are presented. Parameter estimates for the vital rates of juveniles and adults are obtained, and standard deviations for these estimates are computed. Numerical results for the model sensitivity with respect to these parameters are given. Finally, the above-mentioned parameter estimates are used to illustrate the long-time behavior of the population under investigation.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Ackleh AS,Carter J,Deng K,Huang Q,Pal N,Yang Xdoi
10.1007/s11538-011-9682-0subject
Has Abstractpub_date
2012-03-01 00:00:00pages
641-65issue
3eissn
0092-8240issn
1522-9602journal_volume
74pub_type
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