Skip to main content
Log in

Variable generation times and Darwinian fitness measures

  • Published:
Evolutionary Ecology Aims and scope Submit manuscript

Summary

Reproductive value (RV) and net reproductive output (R o) are frequently used fitness measures. We argue that they are only appropriate when intervals between reproductive events are fixed, as they are dimensionless generation-to-generation scalings with units offspring per parent. A fitness measure should account for two different effects of a decrease in generation time: (1) increased survival due to shorter exposure to mortality agents and (2) increased frequency of reproduction.R o andRV deal with the first of these two effects, while a measure with a physical dimensionper time [T−1] is needed to account for the second. The Malthusian growth parameter,r, meets this requirement and in situations where time to reproduction is variable, we proposeρ, the instantaneous rate of spread of descendants (from an individual) be used instead ofR o. As an alternative toRV, we suggest using the instantaneous difference Ф = ρ −r, wherer is the population rate of increase. WhileRV andR o are dimensionless ratios, Ф, and ρ areper time rates which are appropriate in accounting for alterations in generation time.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Aksnes, D. L. and Giske, J. (1990) Habitat profitability in pelagic environments.Mar. Ecol. Prog. Ser. 64, 209–15.

    Google Scholar 

  • Caswell, H. (1989)Matrix Population Models. Sinauer, Sunderland.

    Google Scholar 

  • Charlesworth, B. (1980) Evolution in age-structured populations. InCambridge Studies in Mathematical Biology. Cambridge University Press, London, UK.

    Google Scholar 

  • Charnov, E. (1990) On evolution of age at maturity and the adult life span.J. Evol. Biol. 3, 139–44.

    Google Scholar 

  • Clark, C. W. and Levy, D. A. (1988) Diel vertical migration by juvenile sockeye salmon and the antipredation window.Am. Nat. 131, 271–90.

    Google Scholar 

  • Cole, L. C. (1954) The population consequences of life history phenomena.Q. Rev. Biol. 29, 103–37.

    PubMed  Google Scholar 

  • Fisher, R. A. (1930)The Genetical Theory of Natural Selection. Clarendon, Oxford, UK.

    Google Scholar 

  • Gilliam, J. F. and Fraser, D. F. (1987) Habitat selection under predation hazard: test of a model with foraging minnows.Ecology 68, 1856–62.

    Google Scholar 

  • Keyfitz, N. (1968)Introduction to the Mathematics of Population. Addison-Wesley Publishing Company, Reading, UK.

    Google Scholar 

  • Lande, R. (1982) A quantitative genetic theory of life history evolution.Ecology 63, 607–15.

    Google Scholar 

  • Lewontin, R. C. (1965) Selection for colonizing ability. InThe Genetics of Colonizing Species (H. G. Baker and G. L. Stebbins, eds), pp. 77–94. Academic Press, NY, USA.

    Google Scholar 

  • Lotka, A. J. (1925)Elements of Physical Biology. Williams & Wilkins Company, Baltimore, USA.

    Google Scholar 

  • Mangel, M. and Clark, C. W. (1988)Dynamic Modeling in Behavioral Ecology. Princeton University Press, Princeton, USA.

    Google Scholar 

  • McLaren, I. A. (1963) Effect of temperature on growth of zooplankton and the adaptive value of vertical migration.J. Fish. Res. Board Can.,20, 685–727.

    Google Scholar 

  • Murray Jr, B. G. (1985) Population growth rate as a measure of individual fitness.Oikos 44, 509–11.

    Google Scholar 

  • Nur, N. (1984) Fitness, population growth rate and natural selection.Oikos 42, 413–4.

    Google Scholar 

  • Sibly, R. M. and Calow, P. (1986) Why breeding earlier is always worthwhile.J. Theor. Biol. 123, 311–9.

    Google Scholar 

  • Stearns, S. C. (1992)The Evolution of Life Histories. Oxford University Press, Oxford, UK.

    Google Scholar 

  • Stenseth, N. C. (1984) Fitness, population growth rate and evolution in plant-grazer systems: a reply to Nur.Oikos 42, 414–5.

    Google Scholar 

  • Stephens, D. W. (1981) The logic of risk-sensitive foraging preferences.Anim. Behav. 29, 628–9.

    Google Scholar 

  • Werner, E. E. and Gilliam, J. F. (1984) The ontogenetic niche and species interactions in size-structured populations.Ann. Rev. Ecol. Syst. 15, 393–425.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Giske, J., Aksnes, D.L. & Førland, B. Variable generation times and Darwinian fitness measures. Evol Ecol 7, 233–239 (1993). https://doi.org/10.1007/BF01237741

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01237741

Keywords

Navigation