Evolutionary and population dynamics: A coupled approach

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 84, Issue 5, 2011, Pages

  Cremer, Jonas ^a   Melbinger, Anna ^a   Frey, Erwin ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC CALCULATIONS; DEMOGRAPHIC FLUCTUATIONS; EVOLUTIONARY DYNAMICS; POPULATION GROWTH; POPULATION SIZES; STOCHASTIC SIMULATIONS;

BACTERIA; DYNAMICS; POPULATION DYNAMICS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

POPULATION STATISTICS;

EID: 83255163962     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.051921     Document Type: Article

References (99)

1. B. Charlesworth, Ecology ECOLAR 0012-9658 10.2307/1937629 52, 469 (1971).
2. J. Roughgarden, Ecology 0012-9658 10.2307/1937628 52, 453 (1971).
3. J. Roughgarden, Theory of Population Genetics and Evolutionary Ecology: An Introduction (Macmillan, New York, 1979).
4. L. Ginzburg, Theory of Natural Selection and Population Growth, Series in Evolutionary Biology (Benjamin Cummings, San Fransisco, 1983).
5. L. D. Mueller, Am. Nat. AMNTA4 0003-0147 10.1086/284890 132, 786 (1988). (Pubitemid 19325164)
6. B. Charlesworth, Evolution in Age-Structured Populations (Cambridge University Press, Cambridge, 1994).
7. R. Cressman and G. Vickers, J. Theor. Biol. JTBIAP 0022-5193 10.1006/jtbi.1996.0251 184, 359 (1997). (Pubitemid 27190344)
8. C. Hauert, M. Holmes, and M. Doebeli, Proc. R. Soc. London B PRLBA4 0962-8452 10.1098/rspb.2006.3600 273, 2565 (2006). (Pubitemid 44439679)
9. C. Hauert, J. Y. Wakano, and M. Doebeli, Theor. Popul. Biol. TLPBAQ 0040-5809 10.1016/j.tpb.2007.11.007 73, 257 (2008).
10. A. Melbinger, J. Cremer, and E. Frey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.178101 105, 178101 (2010).
11. J. Maynard Smith, Evolution and the Theory of Games (Cambridge University Press, Cambridge, 1982).
12. J. Hofbauer and K. Sigmund, Evolutionary Games and Population Dynamics (Cambridge University Press, Cambridge, 1998).
13. M. A. Nowak, Evolutionary Dynamics: Exploring the Equations of Life (Belknap Press, Cambridge, 2006).
14. G. Szabó and G. Fáth, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2007.04.004 446, 97 (2007).
15. R. Axelrod and W. Hamilton, Science SCIEAS 0036-8075 10.1126/science. 7466396 211, 1390 (1981).
16. E. Szathmary and L. Demeter, J. Theor. Biol. JTBIAP 0022-5193 10.1016/S0022-5193(87)80191-1 128, 463 (1987).
17. M. A. Nowak and R. M. May, Nature (London) NATUAS 0028-0836 10.1038/359826a0 359, 826 (1992). (Pubitemid 23398292)
18. M. A. Nowak, S. Bonhoeffer, and R. M. May, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.91.11.4877 91, 4877 (1994). (Pubitemid 24177753)
19. G. Szabó and C. Hauert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.118101 89, 118101 (2002).
20. C. Hauert and M. Doebeli, Nature (London) 1476-1122 10.1038/nature02360 428, 643 (2004).
21. H. Ohtsuki, C. Hauert, E. Lieberman, and M. A. Nowak, Nature (London) NATUAS 0028-0836 10.1038/nature04605 441, 502 (2006). (Pubitemid 44050150)
22. J. M. Pacheco, A. Traulsen, and M. A. Nowak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.258103 97, 258103 (2006). (Pubitemid 44958063)
23. F. C. Santos, J. M. Pacheco, and T. Lenaerts, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0508201103 103, 3490 (2006). (Pubitemid 43346496)
24. C. P. Roca, J. A. Cuesta, and A. Sanchez, Phys. Rev. E PNASA6 1539-3755 10.1103/PhysRevE.80.046106 80, 046106 (2009).
25. C. P. Roca, J. A. Cuesta, and A. Sanchez, Phys. Life. Rev. PNASA6 1571-0645 10.1016/j.plrev.2009.08.001 6, 208 (2009).
26. T. Reichenbach, M. Mobilia, and E. Frey, Phys. Rev. E PNASA6 1539-3755 10.1103/PhysRevE.74.051907 74, 051907 (2006). (Pubitemid 44746118)
27. T. Reichenbach, M. Mobilia, and E. Frey, Nature (London) NATUAS 0028-0836 10.1038/nature06095 448, 1046 (2007). (Pubitemid 47345589)
28. T. Antal and I. Scheuring, Bull. Math. Biol. BMTBAP 0092-8240 10.1007/s11538-006-9061-4 68, 1923 (2006). (Pubitemid 44705854)
29. J. Cremer, T. Reichenbach, and E. Frey, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2008-00036-x 63, 373 (2008).
30. M. Peltomäki and M. Alava, Phys. Rev. E EPJBFY 1539-3755 10.1103/PhysRevE.78.031906 78, 031906 (2008).
31. T. Reichenbach, M. Mobilia, and E. Frey, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2008.05.014 254, 368 (2008).
32. B. Andrae, J. Cremer, T. Reichenbach, and E. Frey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.218102 104, 218102 (2010).
33. J. C. Claussen and A. Traulsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.058104 100, 058104 (2008). (Pubitemid 351230694)
34. A. Traulsen and M. A. Nowak, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0602530103 103, 10952 (2006). (Pubitemid 44148399)
35. C. E. Tarnita, T. Antal, H. Ohtsuki, and M. A. Nowak, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0903019106 106, 8601 (2009).
36. C. P. Roca, J. A. Cuesta, and A. Sanchez, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.158701 97, 158701 (2006). (Pubitemid 44570415)
37. P. M. Altrock and A. Traulsen, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.80.011909 80, 011909 (2009).
38. C. S. Gokhale and A. Traulsen, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0912214107 107, 5500 (2010).
39. L. Worden and S. A. Levin, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2006.10.011 245, 411 (2007). (Pubitemid 46365736)
40. M. A. Nowak, A. Sasaki, C. Taylor, and D. Fudenberg, Nature (London) NATUAS 0028-0836 10.1038/nature02414 428, 646 (2004). (Pubitemid 38524805)
41. R. A. Blythe and A. J. McKane, J. Stat. Mech. NATUAS 1742-5468 10.1088/1742-5468/2007/07/P07018 (2007) P07018.
42. T. Galla, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103. 198702 103, 198702 (2009).
43. A. Traulsen, J. C. Claussen, and C. Hauert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.238701 95, 238701 (2005). (Pubitemid 41776946)
44. A. Traulsen, M. A. Nowak, and J. M. Pacheco, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.74.011909 74, 011909 (2006). (Pubitemid 44091277)
45. J. Cremer, T. Reichenbach, and E. Frey, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/9/093029 11, 093029 (2009).
46. J. Murray, Mathematical Biology, 1+2 (Springer, New York, 2002).
47. A. Hastings, Population Biology: Concepts and Models (Springer Verlag, New York, 1997).
48. M. Kot, Mathematical Ecology (Cambridge University Press, Cambridge, 2001).
49. P. F. Verhulst, Corresp. Math. Phys. 10, 113 (1838).
50. J. Monod, Annu. Rev. Microbiol. ARMIAZ 0066-4227 10.1146/annurev.mi.03. 100149.002103 3, 371 (1949).
51. G. J. Velicer, Trends Microbiol. TRMIEA 0966-842X 10.1016/S0966-842X(03) 00152-5 11, 330 (2003). (Pubitemid 37289039)
52. L. Hall-Stoodley, J. W. Costerton, and P. Stoodley, Nat. Rev. Micro. TRMIEA 1740-1526 10.1038/nrmicro821 2, 95 (2004). (Pubitemid 39490064)
53. R. E. Lenski, M. R. Rose, S. C. Simpson, and S. C. Tadler, Am. Nat. AMNTA4 0003-0147 10.1086/285289 138, 1315 (1991).
54. S. F. Elena and R. E. Lenski, Nat. Rev. Gen. AMNTA4 1471-0056 10.1038/nrg1088 4, 457 (2003). (Pubitemid 36648145)
55. S. A. West, A. S. Griffin, A. Gardner, and S. P. Diggle, Nat. Rev. Microbiol. AMNTA4 1740-1526 10.1038/nrmicro1461 4, 597 (2006). (Pubitemid 44317022)
56. A. Buckling, R. C. Maclean, M. A. Brockhurst, and N. Colegrave, Nature (London) NATUAS 0028-0836 10.1038/nature07892 457, 824 (2009).
57. M. E. Hibbing, C. Fuqua, M. R. Parsek, and S. B. Peterson, Nat. Rev. Microbiol. NATUAS 1740-1526 10.1038/nrmicro2259 8, 15 (2010).
58. E. Frey, Physica A PHYADX 0378-4371 10.1016/j.physa.2010.02.047 389, 4265 (2010).
59. J. B. Xavier, Molecular Systems Biology PHYADX 1744-4292 10.1038/msb.2011.16 7, 483 (2011).
60. J. A. Damore and J. Gore, J. Theor. Biol. (in press).
61. D. Greig and M. Travisano, Proc. R. Soc. London B PRLBA4 0962-8452 10.1098/rsbl.2003.0083 271, S25 (2004). (Pubitemid 38186899)
62. J. Gore, H. Youk, and A. van Oudenaarden, Nature (London) NATUAS 0028-0836 10.1038/nature07921 459, 253 (2009).
63. R. C. MacLean, A. Fuentes-Hernandez, D. Greig, L. D. Hurst, and I. Gudelj, PLoS Biol. NATUAS 1544-9173 10.1371/journal.pbio.1000486 8, e1000486 (2010).
64. J. Strassmann, Y. Zhu, and D. Queller, Nature NATUAS 0028-0836 10.1038/35050087 (London) 408, 965 (2000). (Pubitemid 32101640)
65. G. J. Velicer and M. Vos, Annu. Rev. Microbiol. ARMIAZ 0066-4227 10.1146/annurev.micro.091208.073158 63, 599 (2009).
66. P. B. Rainey and K. Rainey, Nature (London) NATUAS 0028-0836 10.1038/nature01906 425, 72 (2004).
67. C. D. Nadell, J. B. Xavier, and K. R. Foster, FEMS Microbiol. Rev. FMREE4 0168-6445 10.1111/j.1574-6976.2008.00150.x 33, 206 (2009).
68. S. P. Diggle, A. S. Griffin, G. S. Campbell, and S. A. West, Nature (London) NATUAS 0028-0836 10.1038/nature06279 450, 411 (2007). (Pubitemid 350126749)
69. A. Buckling, F. Harrison, M. Vos, M. A. Brockhurst, A. Gardner, S. A. West, and A. Griffin, FEMS Microbiol. Ecol. FMECEZ 0168-6496 10.1111/j.1574-6941.2007.00388.x 62, 135 (2007). (Pubitemid 47609666)
70. R. Kümmerli, A. Gardner, S. West, and A. S. Griffin, Evolution 0014-3820 10.1111/j.1558-5646.2008.00548.x 63, 939 (2009).
71. J. S. Chuang, O. Rivoire, and S. Leibler, Science SCIEAS 0036-8075 10.1126/science.1166739 323, 272 (2009).
72. J. S. Chuang, O. Rivoire, and S. Leibler, Molec. Syst. Biol. 6, 398 (2010).
73. C. W. Gardiner, Handbook of Stochastic Methods (Springer, New York, 2007).
74. N. Van Kampen, Stochastic Processes in Physics and Chemistry, 2nd ed., North-Holland Personal Library (North Holland, Amsterdam, 2001).
75. T. Yoshida, L. E. Jones, S. P. Ellner, G. F. Fussmann, and N. G. Hairston, Nature (London) NATUAS 0028-0836 10.1038/nature01767 424, 303 (2003). (Pubitemid 36899369)
76. N. G. Hairston, S. P. Ellner, M. A. Geber, T. Yoshida, and J. A. Fox, Ecol. Lett. NATUAS 1461-023X 10.1111/j.1461-0248.2005.00812.x 8, 1114 (2005). (Pubitemid 41345842)
77. I. Saccheri and I. Hanski, Trends Ecol. & Evol. TREEEQ 0169-5347 10.1016/j.tree.2006.03.018 21, 341 (2006). (Pubitemid 43850059)
78. S. P. Carroll, A. P. Hendry, D. N. Reznick, and C. W. Fox, Functional Ecology TREEEQ 0269-8463 10.1111/j.1365-2435.2007.01289.x 21, 387 (2007). (Pubitemid 46802147)
79. P. A. Moran, The Statistical Processes of Evolutionary Theory (Clarendon Press Oxford, Oxford, 1964).
80. W. J. Ewens, Mathematical Population Genetics, 2nd ed. (Springer, New York, 2004).
81. A. Traulsen, J. C. Claussen, and C. Hauert, Phys. Rev. E TREEEQ 1539-3755 10.1103/PhysRevE.74.011901 74, 011901 (2006). (Pubitemid 44447436)
82. M. Kimura, The Neutral Theory of Molecular Evolution (Cambridge University Press, Cambridge, 1983).
83. P. M. Altrock and A. Traulsen, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/1/013012 11, 013012 (2009).
84. P. Stoodley, K. Sauer, D. G. Davies, and J. W. Costerton, Annu. Rev. Microbiol. ARMIAZ 0066-4227 10.1146/annurev.micro.56.012302.160705 56, 187 (2002). (Pubitemid 35217453)
85. S. E. Jones and J. T. Lennon, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0912765107 107, 5881 (2010).
86. J. T. Lennon and S. E. Jones, Nat. Rev. Micro. PNASA6 1740-1526 10.1038/nrmicro2504 9, 119 (2011).
87. K. Lewis, Nat. Rev. Micro. PNASA6 1740-1526 10.1038/nrmicro1557 5, 48 (2007). (Pubitemid 44942303)
88. N. Q. Balaban, J. Merrin, R. Chait, L. Kowalik, and S. Leibler, Science SCIEAS 0036-8075 10.1126/science.1099390 305, 1622 (2004). (Pubitemid 39296357)
89. E. Kussell, R. Kishony, N. Q. Balaban, and S. Leibler, Genetics GENTAE 0016-6731 10.1534/genetics.104.035352 169, 1807 (2005). (Pubitemid 40695598)
90. I. G. de Jong, P. Haccou, and O. P. Kuipers, BioEssays BIOEEJ 0265-9247 10.1002/bies.201000127 33, 215 (2011).
91. C. E. Cáceres and A. J. Tessier, Ecology ECOLAR 0012-9658 10.1890/0012-9658(2003)084[1189:HLTRTE]2.0.CO;2 84, 1189 (2003).
92. J. S. Webb, L. S. Thompson, S. James, T. Charlton, T. Tolker-Nielsen, B. Koch, M. Givskov, and S. Kjelleberg, J. Bacteriol. JOBAAY 0021-9193 10.1128/JB.185.15.4585-4592.2003 185, 4585 (2003). (Pubitemid 36890507)
93. J. J. Cole, Ecosystems JOBAAY 1432-9840 10.1007/s100219900069 2, 215 (1999). (Pubitemid 29332243)
94. D. Gillespie, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(76) 90041-3 22, 403 (1976). (Pubitemid 8008311)
95. O. Hallatschek, P. Hersen, S. Ramanathan, and D. R. Nelson, Proc. Nat. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0710150104 104, 19926 (2007).
96. C. D. Nadell, K. R. Foster, and J. B. Xavier, PLoS Comput. Biol. PNASA6 1553-734X 10.1371/journal.pcbi.1000716 6, e1000716 (2010).
97. O. Hallatschek, PLoS Comput. Biol. PNASA6 1553-734X 10.1371/journal.pcbi. 1002005 7, e1002005 (2011).
98. J.-T. Kuhr, M. Leisner, and E. Frey, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/13/11/113013 13, 113013 (2011).
99. J. Cremer, A. Melbinger, and E. Frey (unpublished).