On moment closures for population dynamics in continuous space.

@article{Murrell2004OnMC,
  title={On moment closures for population dynamics in continuous space.},
  author={David John Murrell and Ulf Dieckmann and Richard J. Law},
  journal={Journal of theoretical biology},
  year={2004},
  volume={229 3},
  pages={
          421-32
        }
}
A first-order moment closure, the mean-field assumption that organisms encounter one another in proportion to their spatial average densities, lies at the heart of much theoretical ecology. This assumption ignores all spatial information and, at the very least, needs to be replaced by a second-order closure to gain understanding of ecological dynamics in spatially structured populations. We describe a number of conditions that a second-order closure should satisfy and use these conditions to… CONTINUE READING

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