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| Matrice de Leslie× | Modèle de Projection Intégrale× | |
|---|---|---|
| Domaine | Écologie | Écologie |
| Famille | Process / pipeline | Process / pipeline |
| Année d'origine≠ | 1945 | 2000 |
| Auteur d'origine≠ | Patrick Leslie | Stephen Ellner and Mark Rees |
| Type≠ | structured population dynamics | size-structured population projection |
| Source fondatrice≠ | Leslie, P. H. (1945). On the use of matrices in certain population mathematics. Biometrika, 33(3), 183-212. DOI ↗ | Easterling, M. R., Ellner, S. P., & Dixon, P. M. (2000). Size-specific sensitivity: applying a new structured population model. Ecology, 81(3), 694-708. DOI ↗ |
| Alias | Leslie model, age-structured population model, matrix population model, population dynamics | IPM, continuous size structure, kernel model, size-structured population |
| Apparentées | 4 | 4 |
| Résumé≠ | The Leslie matrix is a deterministic model of age-structured population dynamics, introduced by Patrick Leslie (1945). It projects population size and structure forward in time using age-specific fertility and survival rates. A Leslie matrix encodes these vital rates in a square matrix; multiplying the matrix by a population vector yields the population's composition at the next time step. This approach enables calculation of the population's asymptotic growth rate (λ), identification of stable age structure, and sensitivity analysis—understanding which vital rates most strongly influence population growth. | Integral projection models (IPMs) are a class of structured population models that use continuous traits (size, age, height) to describe population dynamics. Introduced by Easterling and colleagues (2000) and developed extensively by Ellner, Rees, and collaborators, IPMs overcome limitations of age- or stage-structured models by treating individual traits as continuous. They use integration to project populations forward in time, making them particularly suitable for organisms with continuous size distributions or flexible developmental pathways. IPMs enable estimation of population growth rate (λ), sensitivity analysis, and projection under changing environmental conditions. |
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