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2007 Summaries of Wildlife Research Findings - Minnesota State ...

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EXPLORING MIGRATION DATA USING INTERVAL-CENSORED TIME-TO-EVENT<br />

MODELS 1<br />

John Fieberg and Glenn D. DelGiudice<br />

ABSTRACT<br />

512<br />

Ecologists and wildlife biologists rely on periodic observation <strong>of</strong> radiocollared animals to<br />

study habitat use, survival, movement, and migration, resulting in response times (e.g., mortality<br />

and migration) known only to occur within an interval <strong>of</strong> time. We illustrate methods for<br />

analyzing interval-censored data using data on the timing <strong>of</strong> fall migration (from spring-summerfall<br />

to winter ranges) for white-tailed deer (Odocoileus virginianus) in northern <strong>Minnesota</strong> during<br />

years 1991-1992 and 2005-2006. We compare both nonparametric and parametric methods<br />

for estimating the cumulative distribution function <strong>of</strong> migration times, and we suggest a<br />

parametric (cure rate) model that accounts for conditional (facultative) migrators as a potential<br />

alternative to traditional parametric models. Lastly, we illustrate methods for exploring the effect<br />

<strong>of</strong> environmental covariates on migration timing. Models with time-dependent covariates (snow<br />

depth, temperature) were sensitive to the treatment <strong>of</strong> the data (as interval-censored or known<br />

event times), suggesting the need to account for interval-censoring when modeling the effect <strong>of</strong><br />

these covariates.<br />

________________<br />

1 Journal <strong>of</strong> <strong>Wildlife</strong> Management (2008) 72: In Press.

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