{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T15:11:18Z","timestamp":1772291478605,"version":"3.50.1"},"reference-count":71,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2013,3,16]],"date-time":"2013-03-16T00:00:00Z","timestamp":1363392000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Math. Biol."],"published-print":{"date-parts":[[2014,4]]},"DOI":"10.1007\/s00285-013-0657-7","type":"journal-article","created":{"date-parts":[[2013,3,15]],"date-time":"2013-03-15T18:06:42Z","timestamp":1363370802000},"page":"1089-1133","source":"Crossref","is-referenced-by-count":27,"title":["The frequency-dependent Wright\u2013Fisher model: diffusive and non-diffusive approximations"],"prefix":"10.1007","volume":"68","author":[{"given":"Fabio A. C. C.","family":"Chalub","sequence":"first","affiliation":[]},{"given":"Max O.","family":"Souza","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,3,16]]},"reference":[{"key":"657_CR1","unstructured":"Ambrosio L, Gigli N, Savar\u00e9 G (2005) Gradient flows in metric spaces and in the space of probability measures. Birkh\u00e4user, Boston"},{"issue":"5","key":"657_CR2","doi-asserted-by":"crossref","first-page":"667","DOI":"10.1002\/cpa.3160460503","volume":"46","author":"C Bardos","year":"1993","unstructured":"Bardos C, Golse F, Levermore CD (1993) Fluid dynamic limits of kinetic equations. II. Convergence proofs for the Boltzmann equation. Commun Pure Appl Math 46(5):667\u2013753. doi: 10.1002\/cpa.3160460503","journal-title":"Commun Pure Appl Math"},{"key":"657_CR3","doi-asserted-by":"crossref","unstructured":"Bardos C, Golse F, Levermore D (1991) Fluid dynamic limits of kinetic equations. I. Formal derivations. J Stat Phys 63(1\u20132):323\u2013344. doi: 10.1007\/BF01026608","DOI":"10.1007\/BF01026608"},{"issue":"3","key":"657_CR4","doi-asserted-by":"crossref","first-page":"873","DOI":"10.1111\/1468-0262.00429","volume":"71","author":"M Benaim","year":"2003","unstructured":"Benaim M, Weibull JW (2003) Deterministic approximation of stochastic evolution in games. Econometrica 71(3):873\u2013903. doi: 10.1111\/1468-0262.00429","journal-title":"Econometrica"},{"key":"657_CR5","doi-asserted-by":"crossref","DOI":"10.1002\/9780470316962","volume-title":"Convergence of probability measures","author":"P Billingsley","year":"1999","unstructured":"Billingsley P (1999) Convergence of probability measures. Wiley, New York"},{"key":"657_CR6","volume-title":"Relativistic quantum mechanics","author":"JD Bjorken","year":"1964","unstructured":"Bjorken JD, Drell SD (1964) Relativistic quantum mechanics. McGraw-Hill Book Co., New York"},{"issue":"2","key":"657_CR7","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1016\/0022-0531(92)90046-K","volume":"57","author":"RT Boylan","year":"1992","unstructured":"Boylan RT (1992) Laws of large numbers for dynamic-systems with randomly matched individuals. J Econ Theory 57(2):473\u2013504. doi: 10.1016\/0022-0531(92)90046-K","journal-title":"J Econ Theory"},{"key":"657_CR8","doi-asserted-by":"crossref","unstructured":"Boylan RT (1995) Continuous approximation of dynamical-systems with randomly matched individuals. J Econ Theory 66(2):615\u2013625. doi: 10.1006\/jeth.1995.1060","DOI":"10.1006\/jeth.1995.1060"},{"key":"657_CR9","volume-title":"Singular and degenerate Cauchy problems","author":"RW Carrol","year":"1976","unstructured":"Carrol RW, Schowalter R (1976) Singular and degenerate Cauchy problems. Academic Press, New York"},{"key":"657_CR10","doi-asserted-by":"crossref","unstructured":"Cercignani C (2002) The Boltzmann equation and fluid dynamics. Handbook of mathematical fluid dynamics, vol I. North-Holland, Amsterdam, pp 1\u201369","DOI":"10.1016\/S1874-5792(02)80003-9"},{"issue":"1\u20132","key":"657_CR11","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1007\/s00605-004-0234-7","volume":"142","author":"FACC Chalub","year":"2004","unstructured":"Chalub FACC, Markowich PA, Perthame B, Schmeiser C (2004) Kinetic models for chemotaxis and their drift-diffusion limits. Monatsh Math 142(1\u20132):123\u2013141. doi: 10.1007\/s00605-004-0234-7","journal-title":"Monatsh Math"},{"issue":"4","key":"657_CR12","doi-asserted-by":"crossref","first-page":"268","DOI":"10.1016\/j.tpb.2009.08.006","volume":"76","author":"FACC Chalub","year":"2009","unstructured":"Chalub FACC, Souza MO (2009) From discrete to continuous evolution models: a unifying approach to drift-diffusion and replicator dynamics. Theor Popul Biol 76(4):268\u2013277. doi: 10.1016\/j.tpb.2009.08.006","journal-title":"Theor Popul Biol"},{"issue":"2","key":"657_CR13","doi-asserted-by":"crossref","first-page":"489","DOI":"10.4310\/CMS.2009.v7.n2.a11","volume":"7","author":"FACC Chalub","year":"2009","unstructured":"Chalub FACC, Souza MO (2009b) A non-standard evolution problem arising in population genetics. Commun Math Sci 7(2):489\u2013502","journal-title":"Commun Math Sci"},{"issue":"7\u20138","key":"657_CR14","doi-asserted-by":"crossref","first-page":"1568","DOI":"10.1016\/j.mcm.2010.05.036","volume":"53","author":"FACC Chalub","year":"2011","unstructured":"Chalub FACC, Souza MO (2011) The SIR epidemic model from a PDE point of view. Math Comput Model 53(7\u20138):1568\u20131574. doi: 10.1016\/j.mcm.2010.05.036","journal-title":"Math Comput Model"},{"issue":"3","key":"657_CR15","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1016\/j.tpb.2005.10.004","volume":"69","author":"N Champagnat","year":"2006","unstructured":"Champagnat N, Ferri\u00e8re R, M\u00e9l\u00e9ard S (2006) Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models. Theor Popul Biol 69(3):297\u2013321. doi: 10.1016\/j.tpb.2005.10.004","journal-title":"Theor Popul Biol"},{"issue":"suppl. 1","key":"657_CR16","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1080\/15326340802437710","volume":"24","author":"N Champagnat","year":"2008","unstructured":"Champagnat N, Ferri\u00e8re R, M\u00e9l\u00e9ard S (2008) From individual stochastic processes to macroscopic models in adaptive evolution. Stoch Models 24(suppl. 1):2\u201344. doi: 10.1080\/15326340802437710","journal-title":"Stoch Models"},{"issue":"1","key":"657_CR17","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/BF01208284","volume":"79","author":"RJ Cirincione","year":"1981","unstructured":"Cirincione RJ, Chernoff PR (1981) Dirac and Klein\u2013Gordon equations: convergence of solutions in the nonrelativistic limit. Commun Math Phys 79(1):33\u201346","journal-title":"Commun Math Phys"},{"issue":"2","key":"657_CR18","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1006\/jeth.1999.2596","volume":"94","author":"V Corradi","year":"2000","unstructured":"Corradi V, Sarin R (2000) Continuous approximations of stochastic evolutionary game dynamics. J Econ Theory 94(2):163\u2013191. doi: 10.1006\/jeth.1999.2596","journal-title":"J Econ Theory"},{"key":"657_CR19","volume-title":"Methods of mathematical physics","author":"R Courant","year":"1989","unstructured":"Courant R, Hilbert D (1989) Methods of mathematical physics, vol II. Wiley, New York"},{"issue":"1","key":"657_CR20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0273-0979-1992-00266-5","volume":"27","author":"MG Crandall","year":"1992","unstructured":"Crandall MG, Ishii H, Lions PL (1992) User\u2019s guide to viscosity solutions of second order partial differential equations. Bull AMS 27(1):1\u201367. doi: 10.1090\/S0273-0979-1992-00266-5","journal-title":"Bull AMS"},{"key":"657_CR21","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0895-2","volume-title":"Degenerate parabolic equations","author":"E DiBenedetto","year":"1993","unstructured":"DiBenedetto E (1993) Degenerate parabolic equations. Springer, Berlin"},{"key":"657_CR22","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1007\/BF01393835","volume":"98","author":"RJ DiPerna","year":"1989","unstructured":"DiPerna RJ, Lions PL (1989) Ordinary differential equations, transport theory and sobolev spaces. Invent Math 98:511\u2013547. doi: 10.1007\/BF01393835","journal-title":"Invent Math"},{"key":"657_CR23","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-16632-7","volume-title":"Some mathematical models from population genetics","author":"A Etheridge","year":"2011","unstructured":"Etheridge A (2011) Some mathematical models from population genetics. Springer, Heidelberg"},{"key":"657_CR24","doi-asserted-by":"crossref","DOI":"10.1002\/9780470316658","volume-title":"Markov processes","author":"SN Ethier","year":"1986","unstructured":"Ethier SN, Kurtz TG (1986) Markov processes. Wiley, New York"},{"key":"657_CR25","doi-asserted-by":"crossref","DOI":"10.1090\/gsm\/019","volume-title":"Partial differential equations","author":"LC Evans","year":"2010","unstructured":"Evans LC (2010) Partial differential equations, 2nd edn. American Mathematical Society, Providence","edition":"2"},{"key":"657_CR26","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-21822-9","volume-title":"Mathematical population genetics. I, 2nd edn","author":"WJ Ewens","year":"2004","unstructured":"Ewens WJ (2004) Mathematical population genetics. I, 2nd edn. Springer, New York"},{"key":"657_CR27","doi-asserted-by":"crossref","unstructured":"Feller W (1951) Diffusion processes in genetics. In: Proceedings of the second Berkeley symposium on mathematical statistics and probability, 1950. University of California Press, Berkeley, pp 227\u2013246","DOI":"10.1525\/9780520411586-018"},{"key":"657_CR28","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1017\/S0370164600023993","volume":"42","author":"RA Fisher","year":"1922","unstructured":"Fisher RA (1922) On the dominance ratio. Proc R Soc Edinb 42:321\u2013341. doi: 10.1007\/BF02459576","journal-title":"Proc R Soc Edinb"},{"key":"657_CR29","first-page":"214","volume":"50","author":"RA Fisher","year":"1930","unstructured":"Fisher RA (1930) The distribution of gene ratios for rare mutations. Proc R Soc Edinb 50:214\u2013219","journal-title":"Proc R Soc Edinb"},{"issue":"2","key":"657_CR30","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1016\/0040-5809(90)90011-J","volume":"38","author":"D Foster","year":"1990","unstructured":"Foster D, Young P (1990) Stochastic evolutionary game dynamics. Theor Popul Biol 38(2):219\u2013232. doi: 10.1016\/0040-5809(90)90011-J","journal-title":"Theor Popul Biol"},{"issue":"4","key":"657_CR31","doi-asserted-by":"crossref","first-page":"1880","DOI":"10.1214\/105051604000000882","volume":"14","author":"N Fournier","year":"2004","unstructured":"Fournier N, M\u00e9l\u00e9ard S (2004) A microscopic probabilistic description of a locally regulated population and macroscopic approximations. Ann Appl Probab 14(4):1880\u20131919. doi: 10.1214\/105051604000000882","journal-title":"Ann Appl Probab"},{"issue":"2","key":"657_CR32","doi-asserted-by":"crossref","first-page":"420","DOI":"10.1016\/0022-0531(92)90044-I","volume":"57","author":"D Fudenberg","year":"1992","unstructured":"Fudenberg D, Harris C (1992) Evolutionary dynamics with aggregate shocks. J Econ Theory 57(2):420\u2013441. doi: 10.1016\/0022-0531(92)90044-I","journal-title":"J Econ Theory"},{"key":"657_CR33","volume-title":"Principles of population genetics","author":"DL Hartle","year":"2007","unstructured":"Hartle DL, Clark AG (2007) Principles of population genetics. Sinauer, Massachussets"},{"key":"657_CR34","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1007\/BF01646348","volume":"35","author":"K Hepp","year":"1974","unstructured":"Hepp K (1974) The classical limit for quantum mechanical correlation functions. Commun Math Phys 35:265\u2013277","journal-title":"Commun Math Phys"},{"key":"657_CR35","doi-asserted-by":"crossref","unstructured":"Hillen T, Othmer HG (2000) The diffusion limit of transport equations derived from velocity-jump processes. SIAM J Appl Math 61(3):751\u2013775 (electronic). doi: 10.1137\/S0036139999358167","DOI":"10.1137\/S0036139999358167"},{"key":"657_CR36","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139173179","volume-title":"Evolutionary games and population dynamics","author":"J Hofbauer","year":"1998","unstructured":"Hofbauer J, Sigmund K (1998) Evolutionary games and population dynamics. Cambridge University Press, Cambridge"},{"issue":"5","key":"657_CR37","doi-asserted-by":"crossref","first-page":"667","DOI":"10.1007\/s00285-005-0369-8","volume":"52","author":"LA Imhof","year":"2006","unstructured":"Imhof LA, Nowak MA (2006) Evolutionary game dynamics in a Wright\u2013Fisher process. J Math Biol 52(5):667\u2013681. doi: 10.1007\/s00285-005-0369-8","journal-title":"J Math Biol"},{"key":"657_CR38","volume-title":"Partial differential equations","author":"F John","year":"1991","unstructured":"John F (1991) Partial differential equations, 4th edn. Springer, New York","edition":"4"},{"key":"657_CR39","volume-title":"A first course in stochastic processes. 2nd edn.","author":"S Karlin","year":"1975","unstructured":"Karlin S, Taylor HM (1975) A first course in stochastic processes. 2nd edn. Academic Press (A subsidiary of Harcourt Brace Jovanovich Publishers), New York"},{"key":"657_CR40","unstructured":"Keller L (ed) (1999) Levels of selection in evolution. Princeton University Press, Princeton"},{"key":"657_CR41","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1093\/genetics\/47.6.713","volume":"47","author":"M Kimura","year":"1962","unstructured":"Kimura M (1962) On the probability of fixation of mutant genes in a population. Genetics 47:713\u2013719","journal-title":"Genetics"},{"issue":"1","key":"657_CR42","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/j.tpb.2005.04.001","volume":"68","author":"S Lessard","year":"2005","unstructured":"Lessard S (2005) Long-term stability from fixation probabilities in finite populations: new perspectives for ESS theory. Theor Popul Biol 68(1):19\u201327. doi: 10.1016\/j.tpb.2005.04.001","journal-title":"Theor Popul Biol"},{"key":"657_CR43","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1007\/s00285-007-0069-7","volume":"54","author":"S Lessard","year":"2007","unstructured":"Lessard S, Ladret V (2007) The probability of fixation of a single mutant in an exchangeable selection model. J Math Biol 54:721\u2013744. doi: 10.1007\/s00285-007-0069-7","journal-title":"J Math Biol"},{"key":"657_CR44","doi-asserted-by":"crossref","DOI":"10.1142\/3302","volume-title":"Second order parabolic differential equations","author":"G Lieberman","year":"1996","unstructured":"Lieberman G (1996) Second order parabolic differential equations. World Scientific, Singapore"},{"key":"657_CR45","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-93065-2","volume-title":"Stochastic problems in population genetics","author":"T Maruyama","year":"1977","unstructured":"Maruyama T (1977) Stochastic problems in population genetics. Springer, Berlin"},{"issue":"4","key":"657_CR46","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1016\/j.jtbi.2007.04.016","volume":"247","author":"AJ McKane","year":"2007","unstructured":"McKane AJ, Waxman D (2007) Singular solutions of the diffusion equation of population genetics. J Theor Biol 247(4):849\u2013858. doi: 10.1016\/j.jtbi.2007.04.016","journal-title":"J Theor Biol"},{"key":"657_CR47","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1214\/11-PS191","volume":"9","author":"S M\u00e9l\u00e9ard","year":"2012","unstructured":"M\u00e9l\u00e9ard S, Villemonais D (2012) Quasi-stationary distributions and population processes. Probab Surv 9:340\u2013410. doi: 10.1214\/11-PS191","journal-title":"Probab Surv"},{"key":"657_CR48","doi-asserted-by":"crossref","unstructured":"Metz JAJ (2011) Thoughts on the geometry of meso-evolution: collecting mathematical elements for a post-modern synthesis. In: Chalub FACC, Rodrigues JF (eds) The mathematics of Darwin\u2019s legacy. Springer, Basel, pp 193\u2013231","DOI":"10.1007\/978-3-0348-0122-5_11"},{"key":"657_CR49","doi-asserted-by":"crossref","unstructured":"Molzon R (2009) Deterministic approximation of stochastic evolutionary dynamics. 2009 international conference on game theory for networks (GAMENETS 2009), pp 323\u2013332","DOI":"10.1109\/GAMENETS.2009.5137417"},{"key":"657_CR50","doi-asserted-by":"crossref","DOI":"10.2307\/j.ctvjghw98","volume-title":"Evolutionary dynamics\u2014exploring the equations of life","author":"MA Nowak","year":"2006","unstructured":"Nowak MA (2006) Evolutionary dynamics\u2014exploring the equations of life. The Belknap Press of Harvard University Press, Cambridge"},{"key":"657_CR51","doi-asserted-by":"crossref","unstructured":"Othmer HG, Hillen T (2002) The diffusion limit of transport equations. II. Chemotaxis equations. SIAM J Appl Math 62(4):1222\u20131250 (electronic). doi: 10.1137\/S0036139900382772","DOI":"10.1137\/S0036139900382772"},{"key":"657_CR52","doi-asserted-by":"crossref","unstructured":"Rogers L, Williams D (2000a) Diffusions, Markov processes, and martingales, Foundations, vol 1. Cambridge University Press, Cambridge","DOI":"10.1017\/CBO9781107590120"},{"key":"657_CR53","doi-asserted-by":"crossref","unstructured":"Rogers L, Williams D (2000b) Diffusions, Markov processes and martingales, It\u00f4 calculus, vol 2. Cambridge University Press, Cambridge","DOI":"10.1017\/CBO9781107590120"},{"issue":"4","key":"657_CR54","doi-asserted-by":"crossref","first-page":"621","DOI":"10.2969\/jmsj\/02840621","volume":"28","author":"KI Sato","year":"1976","unstructured":"Sato KI (1976) Class of Markov-chains related to selection in population-genetics. J Math Soc Japan 28(4):621\u2013637","journal-title":"J Math Soc Japan"},{"issue":"3","key":"657_CR55","doi-asserted-by":"crossref","first-page":"538","DOI":"10.2307\/1426633","volume":"10","author":"KI Sato","year":"1978","unstructured":"Sato KI (1978) Convergence to a diffusion of a multi-allelic model in population genetics. Adv Appl Probab 10(3):538\u2013562","journal-title":"Adv Appl Probab"},{"issue":"3","key":"657_CR56","doi-asserted-by":"crossref","first-page":"460","DOI":"10.2307\/3213884","volume":"20","author":"KI Sato","year":"1983","unstructured":"Sato KI (1983) Limit diffusions of some stepping-stone models. J Appl Probab 20(3):460\u2013471","journal-title":"J Appl Probab"},{"key":"657_CR57","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511806292","volume-title":"Evolution and the theory of games","author":"JM Smith","year":"1982","unstructured":"Smith JM (1982) Evolution and the theory of games. Cambridge University Press, Cambridge"},{"issue":"2","key":"657_CR58","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/S0022-5193(88)80100-0","volume":"130","author":"JM Smith","year":"1988","unstructured":"Smith JM (1988) Can a mixed strategy be stable in a finite population? J Theor Biol 130(2):247\u2013251. doi: 10.1016\/S0022-5193(88)80100-0","journal-title":"J Theor Biol"},{"key":"657_CR59","unstructured":"Stanley RP (1996) Combinatorics and commutative algebra. Birkhauser, Boston"},{"key":"657_CR60","doi-asserted-by":"crossref","unstructured":"Stevens A (2000) The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems. SIAM J Appl Math 61(1):183\u2013212 (electronic). doi: 10.1137\/S0036139998342065","DOI":"10.1137\/S0036139998342065"},{"key":"657_CR61","doi-asserted-by":"crossref","DOI":"10.1007\/3-540-28999-2","volume-title":"Multidimensional diffusion processes","author":"D Stroock","year":"1997","unstructured":"Stroock D, Varandhan S (1997) Multidimensional diffusion processes. Springer, Berlin"},{"key":"657_CR62","volume-title":"An introduction to stochastic modeling","author":"HM Taylor","year":"1998","unstructured":"Taylor HM, Karlin S (1998) An introduction to stochastic modeling, 3rd edn. Academic Press Inc., San Diego","edition":"3"},{"key":"657_CR63","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-9320-7","volume-title":"Partial differential equations, I","author":"ME Taylor","year":"1996","unstructured":"Taylor ME (1996) Partial differential equations, I. Springer, New York"},{"issue":"23","key":"657_CR64","doi-asserted-by":"crossref","first-page":"238701","DOI":"10.1103\/PhysRevLett.95.238701","volume":"95","author":"A Traulsen","year":"2005","unstructured":"Traulsen A, Claussen JC, Hauert C (2005) Coevolutionary dynamics: from finite to infinite populations. Phys Rev Lett 95(23):238701. doi: 10.1103\/PhysRevLett.95.238701","journal-title":"Phys Rev Lett"},{"key":"657_CR65","doi-asserted-by":"crossref","unstructured":"Traulsen A, Claussen JC, Hauert C (2012) Stochastic differential equations for evolutionary dynamics with demographic noise and mutations. Phys Rev E 85(4, Part 1). doi: 10.1103\/PhysRevE.85.041901","DOI":"10.1103\/PhysRevE.85.041901"},{"key":"657_CR66","volume-title":"Stochastic processes in physics and chemistry","author":"NG Kampen van","year":"1981","unstructured":"van Kampen NG (1981) Stochastic processes in physics and chemistry. North-Holland Publishing Co., Amsterdam"},{"issue":"3","key":"657_CR67","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1016\/S0022-5193(88)80222-4","volume":"132","author":"WL Vickery","year":"1988","unstructured":"Vickery WL (1988) Can a mixed strategy be stable in a finite population?\u2014reply. J Theor Biol 132(3):375\u2013378. doi: 10.1016\/S0022-5193(88)80222-4","journal-title":"J Theor Biol"},{"issue":"1","key":"657_CR68","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/j.jtbi.2010.10.014","volume":"269","author":"D Waxman","year":"2011","unstructured":"Waxman D (2011) Comparison and content of the Wright\u2013Fisher model of random genetic drift, the diffusion approximation, and an intermediate model. J Theor Biol 269(1):79\u201387. doi: 10.1016\/j.jtbi.2010.10.014","journal-title":"J Theor Biol"},{"key":"657_CR69","volume-title":"Evolutionary game theory","author":"JW Weibull","year":"1995","unstructured":"Weibull JW (1995) Evolutionary game theory. The MIT Press, Cambridge"},{"key":"657_CR70","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1073\/pnas.23.6.307","volume":"23","author":"S Wright","year":"1937","unstructured":"Wright S (1937) The distribution of gene frequencies in populations. Proc Natl Acad Sci USA 23:307\u2013320","journal-title":"Proc Natl Acad Sci USA"},{"key":"657_CR71","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1073\/pnas.24.7.253","volume":"24","author":"S Wright","year":"1938","unstructured":"Wright S (1938) The distribution of gene frequencies under irreversible mutations. Proc Natl Acad Sci USA 24:253\u2013259","journal-title":"Proc Natl Acad Sci USA"}],"container-title":["Journal of Mathematical Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00285-013-0657-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00285-013-0657-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00285-013-0657-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,30]],"date-time":"2025-04-30T00:41:31Z","timestamp":1745973691000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00285-013-0657-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,3,16]]},"references-count":71,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2014,4]]}},"alternative-id":["657"],"URL":"https:\/\/doi.org\/10.1007\/s00285-013-0657-7","relation":{},"ISSN":["0303-6812","1432-1416"],"issn-type":[{"value":"0303-6812","type":"print"},{"value":"1432-1416","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,3,16]]}}}