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Research talks;Dynamical Systems and Ordinary Differential Equations;Partial Differential Equations

Evolutionary rescue (ER) is the process by which a population, initially destined to extinction due to environmental stress, avoids extinction via adaptive evolution. One of the widely observed pattern of ER (especially in the study of antibiotic resistance) is that it is more likely to occur in mild than in strong stress. This may be due either to purely demographic effects (extinction is faster in strong stress) or to evolutionary effects (adaptation is harder in strong stress). Disentangling the two and predicting the likelihood of ER has important medical or agronomic implications, but also has a strong potential for empirical testing of eco-evolutionary theory, as ER experiments are widespread (at least in microbial systems) and fairly rapid to perform.
Here, I will present results from three recent articles [1-3] where we considered the probability of ER, and the distribution of extinction times, in a classic phenotype-fitness landscape: Fisher’s geometric model (FGM). In our (classic) version of the FGM, fitness is a quadratic function of traits, with an optimum that depends on the environment. This model has received some empirical support with respects to its ability to reproduce or even predict patterns of context dependence in mutation effects on fitness (be it environmental or genetic context).
In our FGM-ER scenario, a population is initially adapted to the current optimum (either a clone or at mutation selection balance). The environment shifts abruptly and the optimum position, plus possibly peak height and width are modified. We follow the evolutionary and demographic response to this change, assuming a density-independent demography (which we approximate by continuous branching process CB process or Feller process).
In spite of its simplicity, the FGM displays fairly distinct behaviors depending on the relative strength of selection and mutation: this yields different approaches to deal with the FGM-ER scenario. I will thus present the different approaches we have used so far: from the strong selection, weak mutation regime to the weak mutation strong selection regime, and discuss possible extensions at the transition between these regimes. Evolutionary rescue (ER) is the process by which a population, initially destined to extinction due to environmental stress, avoids extinction via adaptive evolution. One of the widely observed pattern of ER (especially in the study of antibiotic resistance) is that it is more likely to occur in mild than in strong stress. This may be due either to purely demographic effects (extinction is faster in strong stress) or to evolutionary effects ...

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Documents 60G99 | enregistrements trouvés : 28

Evolutionary rescue over a phenotype fitness landscape: across the mutation rate spectrum Martin, Guillaume | CIRM H Nouveau

Banach spaces harmonic analysis and probability theory :proceedings of the special year in analysis held at the university of connecticut Blei, R. C. Sidney, S. J. | Springer-Verlag 1983 Nouveau

Geometric problems in the theory of infinite-dimensional probability distributions Sudakov, V. N. | American Mathematical Society 1979 Nouveau

Methods and applications of mathematical logic :proceedings of the vii latin american symposium on...#july 29 - aug. 2 Carnielli, Water A. ; De Alcantara, Luiz Paulo | American Mathematical Society 1988 Nouveau

Stochastic models :proceedings of the international conference on ...#June 10-13 Gorostiza, Luis G. ; Ivanoff, B. Gail | American Mathematical Society 2000 Nouveau

Applications aux jeux de hasard. Fasc. II Borel, Emile ; Ville, Jean | Gauthier-Villars 1938 Nouveau

Généralité sur les probabilités. Variables aléatoires. Livre premier. Fasc. III :recherches théoriques modernes sur la théorie des probablités Frechet, Maurice ; Lévy, Paul | Gauthier-Villars 1937 Nouveau

Ensembles parfaits et séries trigonométriques Kahane, Jean-Pierre ; Salem, Raphael | Hermann 1963 Nouveau

Ecole d'été de probabilitésprocessus stochastiques Bretagnolle, J. L. ; Chatterji, S. D. ; Meyer, P. A. | Springer-Verlag 1973 Nouveau

Random polynomials Bharucha-Reid, A. T. ; Sambandham, M. | Academic Press;Inc. 1986 Nouveau

Stochastic convergence of weighted sums of random elements in linear spaces Taylor, Robert L. | Springer-Verlag 1978 Nouveau

Constructing nonhomeomorphic stochastic flows Darling, R. W. R. | American Mathematical Society 1987 Nouveau

Discrete stochastics Jacobs, Konrad | Birkhäuser Verlag 1992 Nouveau

Probability and information theory II Behara, Minaketan ; Krickeberg , K. ; Wolfowitz, J. | Springer-Verlag 1973 Nouveau

Laws of large numbers for normed linear spaces and certain Fréchet spaces Padgett, W. J. ; Taylor, R. L. | Springer-Verlag 1973 Nouveau

Algebraic structures and operator calculus. Vol. I :representations and probability theory Feinsilver, Philip ; Schott , Rene | Kluwer Academic Publishers 1993 Nouveau

Methods of mathematical finance Karatzas, Ioannis ; Shreve, Steven E. | Springer 1998 Nouveau

Application of spectral multiplicity in separable Hilbert space to stochastic processes Ivkovic, Z. ; Bulatovic, J. ; Vukmirovic, J. ; Zivanovic, S. | Mathematicki Institut SANU 1974 Nouveau

Filtering and prediction: a primer Fristedt, B. ; Jain, N. ; Krylov, N. | American Mathematical Society 2007 Nouveau

Extreme value theory:an introduction de Haan, Laurens ; Ferreira, Ana | Springer 2006 Nouveau

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Banach spaces harmonic analysis and probability theory :
proceedings of the special year in analysis held at the university of connecticut Blei, R. C. Sidney, S. J. | Springer-Verlag 1983 Nouveau

Methods and applications of mathematical logic :
proceedings of the vii latin american symposium on...#july 29 - aug. 2 Carnielli, Water A. ; De Alcantara, Luiz Paulo | American Mathematical Society 1988 Nouveau

Stochastic models :
proceedings of the international conference on ...#June 10-13 Gorostiza, Luis G. ; Ivanoff, B. Gail | American Mathematical Society 2000 Nouveau

Généralité sur les probabilités. Variables aléatoires. Livre premier. Fasc. III :
recherches théoriques modernes sur la théorie des probablités Frechet, Maurice ; Lévy, Paul | Gauthier-Villars 1937 Nouveau

Ecole d'été de probabilités
processus stochastiques Bretagnolle, J. L. ; Chatterji, S. D. ; Meyer, P. A. | Springer-Verlag 1973 Nouveau

Algebraic structures and operator calculus. Vol. I :
representations and probability theory Feinsilver, Philip ; Schott , Rene | Kluwer Academic Publishers 1993 Nouveau

Extreme value theory:
an introduction de Haan, Laurens ; Ferreira, Ana | Springer 2006 Nouveau