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Neutral Models with Generalised Speciation
- Source :
- Bulletin of Mathematical Biology, Bulletin of Mathematical Biology, Springer Verlag, 2009, 71 (6), pp.1507-1519. ⟨10.1007/s11538-009-9411-0⟩, Bulletin of mathematical biology, 71(6), 1507-1519. SPRINGER, Bulletin of Mathematical Biology, 2009, 71 (6), pp.1507-1519. ⟨10.1007/s11538-009-9411-0⟩
- Publication Year :
- 2009
- Publisher :
- HAL CCSD, 2009.
-
Abstract
- aeres : ACL; International audience; Hubbell's neutral theory claims that ecological patterns such as species abundance distributions can be explained by a stochastic model based on simple assumptions. One of these assumptions, the point mutation assumption, states that every individual has the same probability to speciate. Etienne et al. have argued that other assumptions on the speciation process could be more realistic, for example, that every species has the same probability to speciate (Etienne, et al. in Oikos 116:241-258, 2007). They introduced a number of neutral community models with a different speciation process, and conjectured formulas for their stationary species abundance distribution. Here we study a generalised neutral community model, encompassing these modified models, and derive its stationary distribution, thus proving the conjectured formulas.
- Subjects :
- 0106 biological sciences
Metacommunity
SPECIES ABUNDANCE
Stochastic modelling
Genetic Speciation
General Mathematics
Speciation
Immunology
[INFO.INFO-OH]Computer Science [cs]/Other [cs.OH]
Biology
Extinction, Biological
010603 evolutionary biology
01 natural sciences
Models, Biological
General Biochemistry, Genetics and Molecular Biology
Neutral model
03 medical and health sciences
Simple (abstract algebra)
Genetic algorithm
Statistics
Quantitative Biology::Populations and Evolution
Statistical physics
RATES
10. No inequality
Relative abundance distribution
030304 developmental biology
General Environmental Science
Probability
Pharmacology
0303 health sciences
Stationary distribution
Models, Statistical
Models, Genetic
General Neuroscience
Ewens sampling formula
Biodiversity
BIODIVERSITY EWENS SAMPLING FORMULA METACOMMUNITY NEUTRAL MODEL SPECIATION SPECIES ABUNDANCE DISTRIBUTION ECOLOGIE BIOLOGIE DES POPULATIONS MODELE NEUTRE FORMATION DES ESPECES
Markov Chains
Unified neutral theory of biodiversity
Computational Theory and Mathematics
Species abundance distribution
General Agricultural and Biological Sciences
Neutral theory of molecular evolution
Algorithms
Subjects
Details
- Language :
- English
- ISSN :
- 00928240 and 15229602
- Database :
- OpenAIRE
- Journal :
- Bulletin of Mathematical Biology, Bulletin of Mathematical Biology, Springer Verlag, 2009, 71 (6), pp.1507-1519. ⟨10.1007/s11538-009-9411-0⟩, Bulletin of mathematical biology, 71(6), 1507-1519. SPRINGER, Bulletin of Mathematical Biology, 2009, 71 (6), pp.1507-1519. ⟨10.1007/s11538-009-9411-0⟩
- Accession number :
- edsair.doi.dedup.....f422b44fa6790677b63560d1d9f4eb4d
- Full Text :
- https://doi.org/10.1007/s11538-009-9411-0⟩