D. Aldous, Stopping times and tightness, Ann. Probab, vol.6, p.335340, 1978.

B. Bolker and S. W. Pacala, Using Moment Equations to Understand Stochastically Driven Spatial Pattern Formation in Ecological Systems, Theoretical Population Biology, vol.52, issue.3, p.179197, 1997.
DOI : 10.1006/tpbi.1997.1331

B. M. Bolker and S. W. Pacala, Spatial moment equations for plant competition: Understanding spatial strategies and the advantages of short dispersal, Am. Nat, vol.153, p.575602, 1999.

R. Bürger, The Mathematical Theory of Selection

I. Calder and W. A. , Size, Function and Life History, 1984.

N. Champagnat, A microscopic interpretation for adaptive dynamics trait substitution sequence models, Stochastic Processes and their Applications, vol.116, issue.8, 2004.
DOI : 10.1016/j.spa.2006.01.004
URL : https://hal.archives-ouvertes.fr/hal-00015130

N. Champagnat, R. Ferrière, and S. Méléard, Unifying evolutionary dynamics: From individual stochastic processes to macroscopic models, Theoretical Population Biology, vol.69, issue.3, 2006.
DOI : 10.1016/j.tpb.2005.10.004
URL : https://hal.archives-ouvertes.fr/inria-00164784

E. L. Charnov, Life History Invariants, 1993.

L. Desvillettes, C. Prévost, and R. Ferrière, Innite dimensional reaction-diusion for evolutionary population dynamics, 2004.

U. Dieckmann and R. Law, The dynamical theory of coevolution: a derivation from stochastic ecological processes, Journal of Mathematical Biology, vol.39, issue.5-6, p.579612, 1996.
DOI : 10.1007/BF02409751

U. Dieckmann and R. Law, Relaxation projections and the method of moments. Pages 412-455 in The Geometry of Ecological Interactions: Symplifying Spatial Complexity, 2000.

A. Etheridge, Survival and extinction in a locally regulated population, The Annals of Applied Probability, vol.14, issue.1, p.188214, 2004.
DOI : 10.1214/aoap/1075828051

S. N. Ethier and T. G. Kurtz, Markov Processes, characterization and convergence, 1986.

S. N. Evans and E. A. Perkins, Measure-valued branching diusions with singular interactions . Canad, J. Math, vol.46, p.120168, 1994.

N. Fournier and S. Méléard, A microscopic probabilistic description of a locally regulated population and macroscopic approximations, The Annals of Applied Probability, vol.14, issue.4, p.18801919, 2004.
DOI : 10.1214/105051604000000882

M. I. Freidlin and A. D. Wentzel, Random Perturbations of Dynamical Systems, 1984.

A. Joe and M. Métivier, Weak convergence of sequences of semimartingales with applications to multitype branching processes, Adv. Appl. Probab, vol.18, p.2065, 1986.

E. Kisdi, Evolutionary Branching under Asymmetric Competition, Journal of Theoretical Biology, vol.197, issue.2, p.149162, 1999.
DOI : 10.1006/jtbi.1998.0864

R. Law, D. J. Murrell, and U. Dieckmann, POPULATION GROWTH IN SPACE AND TIME: SPATIAL LOGISTIC EQUATIONS, Ecology, vol.84, issue.1, p.252262, 2003.
DOI : 10.2307/1939169

S. Méléard and S. Roelly, Sur les convergences étroite ou vague de processus à valeurs mesures, C. R. Acad. Sci. Paris Sér. I Math, vol.317, p.785788, 1993.

J. A. Metz, R. M. Nisbet, and S. A. Geritz, How should we dene tness for general ecological scenarios, Trends Ecol. Evol, vol.7, p.198202, 1992.

J. A. Metz, S. A. Geritz, G. Meszeena, F. A. Jacobs, and J. S. Van-heerwaarden, Adaptive Dynamics, a geometrical study of the consequences of nearly faithful reproduction . Pages 183-231 in Stochastic and Spatial Structures of Dynamical Systems (S, J. van Strien, S.M. Verduyn Lunel, 1996.

S. Roelly-coppoletta, A criterion of convergence of measure???valued processes: application to measure branching processes, Stochastics, vol.8, issue.1-2, p.4365, 1986.
DOI : 10.1007/BF00736006