OOS 15-1 - Randomness and uncertainty in spatial spread: Stochastic models and biological experiments

Tuesday, August 9, 2011: 1:30 PM
17A, Austin Convention Center
Brett A. Melbourne, Department of Ecology and Evolutionary Biology, University of Colorado at Boulder, Boulder, CO and Alan Hastings, Department of Environmental Science and Policy, University of California, Davis, Davis, CA
Background/Question/Methods

Prediction of spatial spread must take into account considerable uncertainties that are generated by stochastic and nonlinear processes. We derive mechanistic stochastic models at the population and landscape levels by scaling up from stochastic processes at the level of individuals. Randomness of invasive spread is difficult to study in the field since any invasion in nature is just one realization of the stochastic process. Instead, we have been studying variance in spatial spread in highly replicated experimental microcosms using the red flour beetle, Tribolium castaneum.

Results/Conclusions

By fitting the stochastic models to data from this model system we show that the accuracy and uncertainty of predictions for invasive spread depend critically on factors contributing to stochasticity. For example, even a carefully parameterized demographic model with comprehensive sources of stochasticity was unable to explain the observed variance between replicated microcosms until stochastic founder effects were also included. Similarly, microcosms with spatially heterogeneous environments paradoxically had lower variance in spread rates than homogeneous environments. These results show that stochastic biological processes can influence uncertainty in surprising ways.

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