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Applied Mathematics

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Jacob P Duncan

2015

Mountain pine beetle

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A Model For Mountain Pine Beetle Outbreaks In An Age-Structured Forest: Predicting Severity And Outbreak Recovery Cycle Period, Jacob P. Duncan May 2015

A Model For Mountain Pine Beetle Outbreaks In An Age-Structured Forest: Predicting Severity And Outbreak Recovery Cycle Period, Jacob P. Duncan

Jacob P Duncan

The mountain pine beetle (MPB, Dendroctonus ponderosae), a tree-killing bark beetle, has historically been part of the normal disturbance regime in lodgepole pine (Pinus contorta) forests. In recent years,warm winters and summers have allowed MPB populations to achieve synchronous emergence and successful attacks, resulting in widespread population outbreaks and resultant tree mortality across western North America. We develop an age-structured forest demographic model that incorporates temperature-dependent MPB infestations. Stability of fixed points is analyzed as a function of (thermally controlled) MPB population growth rates and indicates the existence of periodic outbreaks that intensify as growth rates increase. We devise analytical …