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- Amaury Lambert
- 2007

We consider continuous-state branching (CB) processes which become extinct (i.e., hit 0) with positive probability. We characterize all the quasi-stationary distributions (QSD) for the CB-process asâ€¦ (More)

- Patrick Cattiaux, P. Collet, +6 authors Sylvie MÃ©lÃ©ard
- 2007

In this paper, we study quasi-stationarity for a large class of Kolmogorov diffusions, that is, existence of a quasi-stationary distribution, conditional convergence to such a distribution,â€¦ (More)

The biological theory of adaptive dynamics proposes a description of the long-term evolution of a structured asexual population. It is based on the assumptions of large population, rare mutations andâ€¦ (More)

- Robin AguilÃ©e, David Claessen, Amaury Lambert
- Evolution; international journal of organicâ€¦
- 2013

We investigate an individual-based model of adaptive radiation based on the biogeographical changes of the Great African Lakes where cichlid fishes radiated. In our model, the landscape consists of aâ€¦ (More)

- Amaury Lambert
- Theoretical population biology
- 2006

We link two-allele population models by Haldane and Fisher with Kimura's diffusion approximations of the Wright-Fisher model, by considering continuous-state branching (CB) processes which are eitherâ€¦ (More)

- Helen K. Alexander, Amaury Lambert, Tanja Stadler
- Systematic biology
- 2016

Several ecological factors that could play into species extinction are expected to correlate with species age, i.e., time elapsed since the species arose by speciation. To date, however, statisticalâ€¦ (More)

- Claire RÃ©gnier, Guillaume Achaz, Amaury Lambert, Robert H Cowie, Philippe Bouchet, BenoÃ®t Fontaine
- Proceedings of the National Academy of Sciencesâ€¦
- 2015

Since the 1980s, many have suggested we are in the midst of a massive extinction crisis, yet only 799 (0.04%) of the 1.9 million known recent species are recorded as extinct, questioning the realityâ€¦ (More)

- Amaury Lambert
- Journal of mathematical biology
- 2011

We consider a general, neutral, dynamical model of biodiversity. Individuals have i.i.d. lifetime durations, which are not necessarily exponentially distributed, and each individual gives birthâ€¦ (More)

Microsatellite markers are extensively used to evaluate genetic diversity in natural or experimental evolving populations. Their high degree of polymorphism reflects their high mutation rates.â€¦ (More)

We consider a neutral dynamical model of biological diversity, where individuals live and reproduce independently. They have i.i.d. lifetime durations (which are not necessarily exponentiallyâ€¦ (More)