Estimating the historic probability of stand-replacement fire using the age-class distribution of undisturbed forest

dc.contributor.authorReed, William J.
dc.date.accessioned2009-09-02T00:27:38Z
dc.date.available2009-09-02T00:27:38Z
dc.date.copyright1993en
dc.date.issued2009-09-02T00:27:38Z
dc.descriptionOriginally DMS-509-IR (May '89)en
dc.description.abstractA simple probabilistic model for the destruction of forest stands by fire is used to determine a likelihood function for the problem of estimating the per-annum probability of stand-replacement fire using data in the form of areas in various age classes of undisturbed old-growth forest. This enables the estimation of either an age-independent fire probability or of the parameters of a parametrically defined age-dependent probability. The model includes contagion effects (the probability of a stand burning being increased by other stands burning). Maximum likelihood is used to obtain estimates of the age-independent per annum probability of stand-replacement fire (or the parameters of an age-dependent model), along with a contagion parameter. Confidence intervals for the fire probability are also obtained.en
dc.description.sponsorshipNSERC Grant A7252en
dc.identifier.urihttp://hdl.handle.net/1828/1712
dc.language.isoenen
dc.relation.ispartofseriesDMS-634-IRen
dc.subjectstand replacement fire
dc.subjecteven-aged stands
dc.subjectmaximum likelihood
dc.subjectcontagion
dc.subjectPolya's Urn Scheme
dc.subjectDirichlet distribution
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleEstimating the historic probability of stand-replacement fire using the age-class distribution of undisturbed foresten
dc.typeTechnical Reporten

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