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dc.contributor.authorGonzalez-Palacio, Luis Felipe
dc.date.accessioned2009-08-27T20:41:53Z
dc.date.available2009-08-27T20:41:53Z
dc.date.issued2009-08-27T20:41:53Z
dc.date.submittedJuly 2009
dc.identifier.urihttp://hdl.handle.net/1928/9797
dc.description.abstractThe application of techniques widely used in physics to explain biological phenomena has become a very successful endeavor in the past few decades. Such techniques include, but are not limited to, kinetic equations and nonlinear dynamics. We present an overview of some current topics of interest in ecology that use such techniques to explain and predict a wide array of phenomena. Several successful models are reviewed. We present the results of our analyses of two datasets of repeated sessions of mark-recaptures of the deer mouse, Peromyscus maniculatus (Rodentia: Muridae), the host and reservoir of Sin Nombre virus (Bunyaviridae: Hantavirus). The first dataset corresponds to a three-year period of mark-recaptures in the Valles Caldera National Preserve, New Mexico. The second one corresponds to a four-year period of mark-recaptures in the Wyoming grassland. We study the displacements of the recaptured rodents from a web distribution of traps on the landscape (New Mexico), and a square grid (Wyoming). From the displacements we extract the diffusion constant of the motion of the rodents. In New Mexico, the short-time behavior (1 day) shows the motion to be approximately diffusive and the diffusion constant to be 320 ± 40 m2/day. In Wyoming, the average diffusion constant for the deer mice was 105 ± 10 m2/day. The long-time behavior is capable, in principle, of providing an estimation of the extent of the rodent home ranges. However, the datasets analyzed were not sufficiently detailed to yield a value for the home ranges, and the focus of the thesis is on the diffusion constants rather than on the home ranges.en_US
dc.description.sponsorshipNational Science Foundation National Institutes of Health Consortium of the Americas for Interdisciplinary Scienceen_US
dc.language.isoen_USen_US
dc.subjectPeromyscusen_US
dc.subjectanimal diffusionen_US
dc.subjectepidemicsen_US
dc.subjectrodentsen_US
dc.subjecthome rangeen_US
dc.subjectHantavirusen_US
dc.subject.lcshEcology--Mathematical models.
dc.subject.lcshEpidemiology--Statistical methods.
dc.subject.lcshReaction-diffusion equations--Numerical solutions.
dc.subject.lcshPeromyscus maniculatus--New Mexico--Valles Caldera National Preserve--Geographical distribution--Mathematical models.
dc.subject.lcshPeromyscus maniculatus--Wyoming--Geographical distribution--Mathematical models.
dc.subject.lcshHantaviruses--Geographical distribution--Mathematical models.
dc.titleApplications of statistical mechanics and nonlinear science to ecological phenomenaen_US
dc.typeThesisen_US
dc.description.degreePhysicsen_US
dc.description.levelMastersen_US
dc.description.departmentUniversity of New Mexico. Dept. of Physics & Astronomyen_US
dc.description.advisorKenkre, Vasudev (Nitant)
dc.description.committee-memberKenkre, Vasudev (Nitant)
dc.description.committee-memberDunlap, David
dc.description.committee-memberParmenter, Robert


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