Future Directions and Advanced Topics

This chapter is a collection of some advanced and cutting-edge topics that we think are important directions for future research on IPMs. (1) Fitting more flexible IPM kernels using nonlinear and/or nonparametric regression. (2) Putting demographic stochasticity into IPMs. (3) IPMs where some of the individual state variables have deterministic dynamics or are subject to deterministic constraints. Theory and numerical methods are totally undeveloped for these models. (4) More kinds of data. We revisit our assumption that the modeler has accurate observations on state and fate for marked individuals who can be re-found at each census. Better methods for fitting IPMs using mark-recapture data where recapture is not certain, or data on unmarked individuals, will greatly expand the scope for IPM applications, especially applications to animal populations.

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