Pair approximation for lattice models with multiple interaction scales.

@article{Ellner2001PairAF,
  title={Pair approximation for lattice models with multiple interaction scales.},
  author={Stephen P. Ellner},
  journal={Journal of theoretical biology},
  year={2001},
  volume={210 4},
  pages={435-47}
}
Pair approximation has frequently proved effective for deriving qualitative information about lattice-based stochastic spatial models for population, epidemic and evolutionary dynamics. Pair approximation is a moment closure method in which the mean-field description is supplemented by approximate equations for the frequencies of neighbor-site pairs of each possible type. A limitation of pair approximation relative to moment closure for continuous space models is that all modes of interaction… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.
32 Citations
35 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 32 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 35 references

Pair approximations for di!erent spatial geometries. In: 1he Geometry of Ecological Interactions: Simplifying Spatial Complexity (Dieckmann

  • M. VAN BAALEN
  • 2000
Highly Influential
4 Excerpts

Aspergillosis of sea fan

  • K. KIM, C. D. HARVELL
  • 2001
1 Excerpt

Aspergillosis of sea fan corals : dynamics in the Florida Keys

  • K. KIM, C. D. HARVELL
  • Connections Between Ecosystems in the South…
  • 2001
1 Excerpt

1he Geometry of Ecological Interactions: Simplifying

  • U. DIECKMANN, R. LAW, J.A.J. METZ
  • 2000
1 Excerpt

Grid - based models as tools for ecological research

  • R. Law, J. A. J. Metz
  • 2000

Grid-based models as tools for ecological research. In: 1he Geometry of Ecological Interactions: Simplifying Spatial Complexity (Dieckmann

  • C. WISSEL
  • 2000
1 Excerpt

Introduction. In: 1he Geometry of Ecological Interactions: Sim

  • R. LAW, U. DIECKMANN, J.A.J. METZ
  • 2000
1 Excerpt

Lattice models and pair approximation in ecology

  • Y. IWASA
  • 2000
1 Excerpt

Lattice models and pair approximation in ecology. In: 1he geometry of ecological interactions

  • Y. IWASA
  • 2000
1 Excerpt

Similar Papers

Loading similar papers…