Chaire Modélisation Mathématique et Biodiversité

Ecole Polytechnique, Muséum national d'Histoire naturelle
Fondation de l'Ecole Polytechnique
VEOLIA Environnement

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Publications

2009

  1. Méléard, S.: Introduction to stochastic models for evolution. Markov Process. Related Fields 15 (2009), no. 3, pp.259-264.

2010

  1. Bansaye V., Dombry C., Mazza C.: Phenotypic diversity and population growth in fluctuating environment: a MBPRE approach.
  2. Barton, N. H., Etheridge, A. M., Véber, A.: A new model for evolution in a spatial continuum. Electron. J. Probab., 15:162-216.
  3. Cattiaux, P., Méléard, S.: Competitive or weak cooperative stochastic Lotka-Volterra systems conditioned on non-extinction. J. Math. Biology 6 (2010), 797-829.
  4. Decreusefond, L., Dhersin, J.S., Moyal, P., Tran, V.C., Large graph limit for a SIR process in random network with heterogeneous connectivity, (2010), submitted.
  5. Diekmann, O., Gyllenberg, M., Metz, J. A. J., Nakaoka, S., De Roos, A.M.: Daphnia revisited: local stability and bifurcation theory for physiologically structured population models explained by way of an example. J Math Biol. 61: 277-318 (2010) DOI 10.1007/s00285-009-0299-y, web-prepublication.
  6. Diekmann, O., Metz, J.A.J.: How to lift a model for individual behaviour to the population level? Phil Trans. Roy. Soc. London B, to appear.
  7. Mariadassou, M., Robin, S., Vacher, C.: Uncovering structure in valued graphs: a variational approach. Ann. Appl. Statist., 4:715-42.
  8. Méléard S., Tran V.C.: Slow and fast scales for superprocess limits of age-structured populations, (2010), submitted.
  9. Meszéna, G., Metz, J.A.J.: In Species diversity and population regulation: the importance of environmental feedback. In U.Dieckmann & J.A.J. Metz: Elements of Adaptive Dynamics. Cambridge University Press, to appear.
  10. Metz, J.A.J.: Thoughts on the geometry of meso-evolution: collecting mathematical elements for a postmodern synthesis. In: FA da Costa Carvalho Chalub & JF Rodrigues eds. The Mathematics of Darwin's Legacy. Basel: Birkhauser, to appear.
  11. Metz, J.A.J., Leimar, O.: A simple fitness proxy for ESS calculations in structured populations with continuous traits, with applications to the evolution of haplo-diploids and genetic dimorphisms. J. Biol. Dyn., to appear.
  12. Mylius, S.D., Metz, J.A.J.: When Does Evolution Optimize? On the relationship between evolutionary stability, optimization and density dependence. In: U. Dieckmann & J.A.J. Metz (eds): Elements of Adaptive Dynamics. Cambridge University Press, to appear.
  13. Van den Berg, F., Bacaer, N., Metz, J.A.J., Lannou, C., Van Den Bosch, F.: Periodic host absence can select for higher or lower parasite transmission rates. EVEC, to appear.

2011

  1. Bansaye, V., Delmas, J.F., Marsalle, L., Tran, V.C.: Limit theorems for Markov processes indexed by continuous time Galton-Watson trees. Ann. of App. Probab., 21:2263-2314.
  2. Bansaye, V., Boeinghoff, C.: Upper large deviations for Branching Processes in Random Environment with heavy tails. Electron. J. Probab., 16:1900-1933.
  3. Bansaye, V., Tran, V.C.: Branching Feller diffusion for cell division with parasite infection. ALEA, 8:95-127.
  4. Berestycki, N., Etheridge, A.M., Véber, A.: Large scale behaviour of the spatial Lambda-Fleming-Viot process. À paraître aux Ann. Inst. H. Poincaré Probab. Statist.
  5. Champagnat, N., Méléard, S.: Polymorphic evolution sequence and evolutionary branching. Probab. Theory Related Fields, Volume 151, Issue 1 (2011), 45-94.
  6. Collet, P., Martinez, S., Méléard, S., San Martin, J.: Quasi-stationarity distributions for structured birth and death process with mutations. Probab. Theory Related Fields, Volume 151, Issue 1 (2011), Page 191-231.
  7. Etheridge, A.M., Véber, A.: The spatial Lambda-Fleming-Viot process on a large torus: genealogies in the presence of recombination. A paraître dans Ann. Applied Probab.
  8. Fontaine, C., Guimarães, P.R., Kéfi, S., Loeuille, N., Memmott, J., Van Der Putten, W.H., Thébault, E.: The ecological and evolutionary implications of merging different types of networks. Ecology Letters, 14:1170-1181.
  9. Gyllenberg, M., Metz, J.A.J., Service, R.: When do optimisation arguments make evolutionary sense? Chapitre du livre ''The Mathematics of Darwin's Legacy'', Mathematics and Biosciences in Interaction. J.F. Rodrigues and F. Chalub editors, Birkhäuser Basel, (2011) pp. 235-269.
  10. Huillet, T.: On the Karlin-Kimura approaches to the Wright-Fisher diffusion with fluctuating selection. J. Stat. Mech. Th. and Exp., P02016.
  11. Huillet, T.: Nonconservative diffusions on [0,1] with killing and branching. Applications to Wright-Fisher models with or without selection. Internat. J. Stoch. Analysis, Article ID 605068.
  12. Huillet, T., Martinez, S.: Duality and Intertwining for discrete Markov kernels: relations and examples. Adv. Applied Probab., 43:437-460.
  13. Huillet, T., Moehle, M.: On the extended Moran model and its relation to coalescents with multiple collisions. Theor. Pop. Biology, Online first.
  14. Jesse, M., Mazucco, R., Metz, J.A.J., Diekmann, U., Heesterbeek, J.A.P.: How to calculate a threshold for infectious diseases in a metapopulation. PLoS ONE, 66: e2406.
  15. Lorz, A., Mirrahimi, S., Perthame, B.: Dirac mass dynamics in multidimensional nonlocal parabolic equations. Comm. in PDEs, 36:1071-1098.
  16. Méléard, S.: Random Modeling of Adaptive Dynamics and Evolutionary Branching. Chapitre du livre ''The Mathematics of Darwin's Legacy'', Mathematics and Biosciences in Interaction. J. F. Rodrigues and F. Chalub editors, Birkhâuser Basel, (2011).
  17. Mirrahimi, S., Perthame, B., Bouin, E., Millien, P.: Population formulation of adaptative evolution ; theory and numerics. Chapitre du livre "The Mathematics of Darwin's Legacy?", Mathematics and Biosciences in Interaction. J. F. Rodrigues and F. Chalub editors, Birkhäuser Basel, (2011) pp. 159-174.
  18. Morlon, H., Kemps, B., Plotkin J.B., Brisson, D.: Explosive radiation of a bacterial species group. Evolution, Online first.
  19. Morlon, H., Parsons, T.L., Plotkin, J.: Reconciling molecular phylogenies with the fossil record. PNAS 108:16327-16332.
  20. Rolland, J., Cadotte, M.W., Davies, J., Devictor, V., Lavergne, S., Mouquet, N., Pavoine, S., Rodrigues, A., Thuiller, W., Turcati, L., Winter, M., Zupan, L., Jabot F., Morlon, H.: Using phylogenies in conservation: new perspectives. Biology Letters, Online.
  21. Villemonais, D.: Interacting particle systems and Yaglom limit approximation of diffusions with unbounded drift. Electron. J. Probab, 16:1663-1692.

2012

  1. Abraham, R., Delmas, J.F., He, H.: Pruning Galton-Watson Trees and Tree-valued Markov Processes. À paraître aux Annales de l'Institut Henri Poincaré.
  2. Billiard, S., Tran, V. C.: A general stochastic model for sporophytic self-incompatibility. J. Math. Biol., 64:163-210.
  3. Chen, Y., Delmas, J.F.: Smaller population size at the MRCA time for stationary branching processes. À paraître dans Ann. of Probab.
  4. Jourdain, B., Méléard, S., Woyczynski, W.: Lévy flights in evolutionary ecology. À paraître dans J. Math. Biol.
  5. Méléard, S., Tran, V. C.: Slow and fast scales for superprocess limits of age-structured populations. Stochastic Proc. Appl., 122:250-276.
  6. Mirrahimi, S., Perthame, B., Wakano, J.Y.: Evolution of species trait through resource competition. À paraître dans J. Math. Biol.
  7. Jourdain, B., Méléard, S., Woyczynski, W.: Lévy flights in evolutionary ecology. À paraître dans JMB.
  8. Méléard, S., Tran, C.V.: Stochastic Processes and their Applications 122 (2012) 250-276.
  9. Pavard, S., Branger, F.: Effect of maternal and grandmaternal care on population dynamics and human life-history evolution: A matrix projection model. Theoretical Population Biology (2012)

Prepublications:

  1. Barton, N.H., Etheridge, A.M., Véber, A.: Modelling evolution in a spatial continuum.
  2. Blein-Nicolas, M., Xu, H., de Vienne, D., Giraud, C., Huet, S., Zivy, M.: Including shared peptides for estimating protein abundances: a significant improvement for quantitative proteomics.
  3. Collet, P., Méléard, S., Metz, J.A.J.: A rigorous model study of adaptive dynamics for Mendelian diploids.
  4. Coron, C., Méléard, S., Porcher, E., Robert, A.: Quantifying the mutational meltdown in diploid populations.
  5. Giraud, C., Julliard, R., Porcher, E.: Delimiting synchronous populations from monitoring data.
  6. Méléard, S., Metz, J. A. J., Tran, V. C.: Limiting Feller diffusions for logistic populations with age-structure.
  7. Méléard, S., Tran, C.V.: Nonlinear historical superprocess approximations for population models with past dependence.
  8. Méléard, S., Villemonais, D.: Quasi-stationary distributions and population processes. Article de survey.
  9. Villemonais, D.: Interacting particle processes and approximation of Markov processes conditioned to not be killed.