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Activity Number: 117
Type: Contributed
Date/Time: Monday, August 3, 2009 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics and the Environment
Abstract - #305807
Title: Application of Branching Models in the Study of Invasive Species
Author(s): Earvin Balderama*+
Companies: University of California, Los Angeles
Address: , Los Angeles, CA, ,
Keywords: branching models ; epidemic type aftershock sequence ; point process ; invasive species ; ecology ; alien plants
Abstract:

Earthquake occurrences are often described using a class of branching models called Epidemic-Type Aftershock Sequence (ETAS) models. The name derives from the fact that the model allows earthquakes to cause aftershocks, and then those aftershocks may induce subsequent aftershocks, and so on. Despite their value in seismology, such models have not previously been used in studying the incidence of invasive species. Here, we apply ETAS models to study the spread of an invasive species of red banana plants in Costa Rica. One challenge in this ecological application is that fitting the model requires the originations of the plants, which are not observed but may be estimated using the heights of the plants and their empirical growth rates. We then characterize the estimated spatial-temporal rate of spread of red banana plants using a space-time ETAS model.


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