The May threshold and life-history allometry

Biology Letters

Volumn 6, Issue 6, 2010, Pages 850-853

  Ginzburg, Lev R ^a   Burger, Oskar ^b   Damuth, John ^c  

^a STONY BROOK UNIVERSITY   (United States)

^b STANFORD UNIVERSITY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Body size; Chaos; Ecological elimination; Lifetime reproduction; Population extinction; Population growth rate

Indexed keywords

ALLOMETRY; BODY SIZE; CHAOTIC DYNAMICS; DENSITY DEPENDENCE; DEVELOPMENTAL BIOLOGY; EXTINCTION; LIFE HISTORY TRAIT; POPULATION GROWTH; REPRODUCTION; TAXONOMY; THRESHOLD;

ANIMALIA;

EID: 78649824785     PISSN: 17449561     EISSN: 1744957X     Source Type: Journal    
DOI: 10.1098/rsbl.2010.0452     Document Type: Article

References (25)

1. Abrams, P. A. 2009 Determining the functional form of density dependence: deductive approaches for consumer-resource systems having a single resource. Am. Nat. 174, 321-330. (doi:10.1086/603627)
2. Anderson, C. N. K., Hsieh, C. H., Sandin, S. A., Hewitt, R., Hollowed, A., Beddington, J., May, R. M. & Sugihara, G. 2008 Why fishing magnifies fluctuations in fish abundance. Nature 452, 835-839. (doi:10.1038/nature06851) (Pubitemid 351550866)
3. Berryman, A. A. & Millstein, J. A. 1989 Are ecological systems chaotic-and if not, why not? Trends Ecol. Evol. 4, 26-28. (doi:10.1016/0169- 5347(89)90014-1)
4. Calder III, W. A. 1984 Size, function, and life history. Cambridge, MA: Harvard University Press.
5. Charnov, E. L. 1993 Life history invariants. Oxford, UK: Oxford University Press.
6. Charnov, E. L., Warne, R. & Moses, M. E. 2007 Lifetime reproductive effort. Am. Nat. 170, E129-E142. (doi:10. 1086/522840)
7. Doebeli, M. & Koella, J. C. 1995 Evolution of simple population dynamics. Proc. R. Soc. Lond. B 260, 119-125. (doi:10.1098/rspb.1995.0068)
8. Ellner, S. & Turchin, P. 1995 Chaos in a noisy world: new methods and evidence from time-series analysis. Am. Nat. 145, 343-375. (doi:10.1086/285744)
9. Fowler, C. W. 1981 Density dependence as related to life history strategy. Ecology 62, 602-610. (doi:10.2307/ 1937727)
10. Fowler, C. W. 1988 Population dynamics as related to rate of increase per generation. Evol. Ecol. 2, 197-204. (doi:10. 1007/BF02214283)
11. Getz, W. M. 1996 A hypothesis regarding the abruptness of density dependence and the growth rate of populations. Ecology 77, 2014-2026. (doi:10.2307/2265697)
12. Gilpin, M. E. & Ayala, F. J. 1973 Global models of growth and competition. Proc. Natl Acad. Sci. USA 70, 3590-3593. (doi:10.1073/pnas.70.12. 3590)
13. Ginzburg, L. R. & Colyvan, M. 2004 Ecological orbits. New York, NY: Oxford University Press.
14. Hsieh, C. H., Reiss, C. S., Hunter, J. R., Beddington, J. R., May, R. M. & Sugihara, G. 2006 Fishing elevates variability in the abundance of exploited species. Nature 443, 859-862. (doi:10.1038/nature05232) (Pubitemid 44622696)
15. Levin, S. A. & Goodyear, C. P. 1980 Analysis of an agestructured fishery model. J. Math. Biol. 9, 245-274. (doi:10.1007/BF00276028) (Pubitemid 10006137)
16. May, R. M. 1974 Biological populations with nonoverlapping generations: stable points, stable cycles, and chaos. Science 186, 645-647. (doi:10.1126/science.186. 4164.645)
17. May, R. M. & Oster, G. F. 1976 Bifurcations and dynamic complexity in simple ecological models. Am. Nat. 110, 573-599. (doi:10.1086/283092)
18. Myers, R. A., Bowen, K. G. & Barrowman, N. J. 1999 Maximum reproductive rate of fish at low population sizes. Can. J. Fish. Aquat. Sci. 56, 2404-2419. (doi:10.1139/ cjfas-56-12-2404)
19. Okasha, S. 2006 Evolution and the levels of selection. Oxford, UK: Oxford University Press.
20. Purvis, A. & Harvey, P. H. 1995 Mammal life-history evolution: a comparative test of Charnov's model. J. Zool. 237, 259-283. (doi:10.1111/j.1469- 7998.1995.tb02762.x)
21. Rice, W. R. 1989 Analyzing tables of statistical tests. Evolution 43, 223-225. (doi:10.2307/2409177)
22. Ricker, W. E. 1954 Stock and recruitment. J. Fish. Res. Board. Can. 11, 559-623.
23. Sibly, R. M., Barker, D., Denham, M. C., Hone, J. & Pagel, M. 2005 On the regulation of populations of mammals, birds, fish, and insects. Science 309, 607-610. (doi:10. 1126/science.1110760)
24. Thomas, W. R., Pomerantz, M. J. & Gilpin, M. E. 1980 Chaos, asymmetric growth and group selection for dynamical stability. Ecology 61, 1312-1320. (doi:10.2307/ 1939039)
25. Tuljapurkar, S., Boe, C. & Wachter, K. W. 1994 Nonlinear feedback dynamics in fisheries: analysis of the Deriso-Schnute model. Can. J. Fish. Aquat. Sci. 51, 1462-1473. (doi:10.1139/f94-146)