Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Brief Communication
  • Published:

Coexistence theory and the frequency-dependence of priority effects

Abstract

Priority effects are commonly used to describe a broad suite of phenomena capturing the influence of species arrival order on the diversity, composition and function of ecological communities. Several studies have suggested reframing priority effects around the stabilizing and equalizing concepts of coexistence theory. We show that the only compatible priority effects are those characterized by positive frequency-dependence, irrespective of whether they emerge in equilibrium or non-equilibrium systems.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Fig. 1: Effect of changing the consumption vector of species and the supply ratio of two resources in a consumer–resource model on the fitness ratio and stabilization potential (niche difference) of coexistence theory.
Fig. 2: PFD emerges from endogenously generated resource fluctuations.

Similar content being viewed by others

Data availability

All simulated data was generated by R language. All code used for this study is available at https://github.com/pojuke/CoexistPFD and upon request from the corresponding author.

References

  1. Chase, J. M. Oecologia 136, 489–498 (2003).

    Article  Google Scholar 

  2. Fukami, T. Annu. Rev. Ecol. Evol. Syst. 46, 1–23 (2015).

    Article  Google Scholar 

  3. Slatkin, M. Ecology 55, 128–134 (1974).

    Article  Google Scholar 

  4. Lewontin, R. C. Brookhaven Sym. Biol. 22, 13–24 (1969).

    CAS  Google Scholar 

  5. May, R. M. Math. Biosci. 12, 59–79 (1971).

    Article  Google Scholar 

  6. Petraitis, P. Multiple Stable States in Natural Ecosystems (Oxford Univ. Press, Oxford, 2013).

  7. Mordecai, E. A. Ecol. Monogr. 81, 429–441 (2011).

    Article  Google Scholar 

  8. Fukami, T., Mordecai, E. A. & Ostling, A. J. Veg. Sci. 27, 655–657 (2016).

    Article  Google Scholar 

  9. Letten, A. D., Ke, P.-J. & Fukami, T. Ecol. Monogr. 87, 161–177 (2017).

    Article  Google Scholar 

  10. Chesson, P. Annu. Rev. Ecol. Syst. 31, 343–366 (2000).

    Article  Google Scholar 

  11. Chesson, P. Theor. Popul. Biol. 37, 26–38 (1990).

    Article  Google Scholar 

  12. Chesson P. & Leemans, R. in Ecological Systems (ed. Leemans, R.) 223–256 (Springer, New York, 2013).

  13. Tilman, D. Resource Competition and Community Structure (Monographs in Population Biology Vol. 17, (Princeton Univ. Press, Princeton, 1982).

  14. Chesson, P. & Kuang, J. J. Nature 456, 235–238 (2008).

    Article  CAS  Google Scholar 

  15. Chase, J. & Leibold, M. Ecological Niches: Linking Classical and Contemporary Approaches (Univ. Chicago Press, Chicago, 2003).

    Book  Google Scholar 

  16. Chesson, P. J. Biol. Dynam. 3, 149–163 (2009).

    Article  Google Scholar 

  17. Schreiber, S., Yamamichi, M. & Strauss, S. Preprint at bioRxiv https://doi.org/10.1101/161919 (2017).

  18. Fukami, T. & Nakajima, M. Ecol. Lett. 14, 973–984 (2011).

    Article  Google Scholar 

  19. Soetaert, K., Petzoldt, T. & Setzer, R. W. J. Stat. Softw. 33, 1–25 (2010).

    Google Scholar 

Download references

Acknowledgements

We thank T. Fukami, T. Grainger and D. Stouffer for helpful comments. P.-J.K. was supported by Stanford University and the Studying Abroad Scholarship from the Ministry of Education, Taiwan. A.D.L. was supported by a postdoctoral fellowship from the Center for Computational, Evolutionary, and Human Genomics of Stanford University.

Author information

Authors and Affiliations

Authors

Contributions

P.-J.K. and A.D.L. conceived the study, performed the analysis and wrote the manuscript.

Corresponding authors

Correspondence to Po-Ju Ke or Andrew D. Letten.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Publisher’s note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary information

Supplementary Information

Supplementary Methods, Supplementary References

Reporting Summary

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ke, PJ., Letten, A.D. Coexistence theory and the frequency-dependence of priority effects. Nat Ecol Evol 2, 1691–1695 (2018). https://doi.org/10.1038/s41559-018-0679-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/s41559-018-0679-z

This article is cited by

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing