Allometric scaling of production and life-history variation in vascular plants (original) (raw)

Nature volume 401, pages 907–911 (1999) Cite this article

A Correction to this article was published on 07 December 2000

Abstract

A prominent feature of comparative life histories is the well documented negative correlation between growth rate and life span1,2. Patterns of resource allocation during growth and reproduction reflect life-history differences between species1,2. This is particularly striking in tropical forests, where tree species can differ greatly in their rates of growth and ages of maturity but still attain similar canopy sizes3,4. Here we provide a theoretical framework for relating life-history variables to rates of production, d_M_/d_t_, where M is above-ground mass and t is time. As metabolic rate limits production as an individual grows, d_M_/d_t_ ∝ M_3/4. Incorporating interspecific variation in resource allocation to wood density, we derive a universal growth law that quantitatively fits data for a large sample of tropical tree species with diverse life histories. Combined with evolutionary life-history theory1, the growth law also predicts several qualitative features of tree demography and reproduction. This framework also provides a general quantitative answer to why relative growth rate (1/M)(d_M/d_f_) decreases with increasing plant size (∝_M_-1/4) and how it varies with differing allocation strategies5,6,7,8.

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Figure 1: Representative variation of _D_2/3(0) versus _D_2/3(20) for six species of tropical trees.

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Figure 2: Growth rates of multiple species of tropical forest trees.

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References

  1. Charnov,E. L. Life History Invariants: Some Explorations of Symmetry in Evolutionary Ecology (Oxford Univ. Press, Oxford, 1993).
    Google Scholar
  2. Stearns,S. C. The Evolution of Life Histories (Oxford Univ. Press, Oxford, 1992).
    Google Scholar
  3. Richards,P. W. The Tropical Rain Forest 2nd edn (Cambridge Univ. Press, Cambridge, 1996).
    Google Scholar
  4. Chambers,J. Q., Higuchi,N. & Schimel,J. P. Ancient trees in Amazonia. Nature 391, 135–136 (1998).
    ADS CAS Google Scholar
  5. Grime,J. P. & Hunt,R. Relative growth-rate: its range and adaptive significance in a local flora. J. Ecology 63, 393–422 (1975).
    Google Scholar
  6. Tilman,D. Plant Strategies nd the Dynamics and Structure of Plant Communities (Princeton Univ. Press, Princeton, 1988).
    Google Scholar
  7. Cebran,J. & Duarte,C. M. The dependence of herbivory on growth rate in natural plant communities. Func. Ecol. 8, 518–525 (1994).
    Google Scholar
  8. Gleeson,S. K. & Tilman,D. Plant allocation, growth rate and successional status. Func. Ecol. 8, 543–550 (1994).
    Google Scholar
  9. Ricklefs,R. E. Environmental heterogeneity and plant species diversity: an hypothesis. Am. Nat. 111, 376–381 (1977).
    Google Scholar
  10. Grubb,P. J. The maintenance of species diversity in plant communities: the importance of the regeneration niche. Biol. Rev. 52, 107–145 (1977).
    Google Scholar
  11. Denslow,J. S. Gap partitioning among tropical rain forest trees. Biotropica (Suppl.), 12, 47–55 (1980).
    Google Scholar
  12. Williamson,G. B. Gradients in wood specific gravity of trees. Bull. Torr. Bot. Club 111, 51–55 (1996).
    Google Scholar
  13. Hubbell,S. P. et al. Light-gap disturbances, recruitment limitation, and tree diversity in a neotropical forest. Science 283, 554–557 (1999).
    ADS CAS PubMed Google Scholar
  14. West,G. B., Brown,J. H. & Enquist,B. J. A general model for the origin of allometric scaling laws in biology. Science 276, 122–126 (1997).
    CAS PubMed Google Scholar
  15. Enquist,B. J., Brown,J. H. & West,G. B. Allometric scaling of plant energetics and population density. Nature 395, 163–165 (1998).
    ADS CAS Google Scholar
  16. West,G. B., Brown,J. H. & Enquist,B J. A general model for the structure and allometry of plant vascular systems. Nature 400, 664–667 (1999).
    ADS CAS Google Scholar
  17. Peters,R. H. et al. The allometry of the weight of fruit on trees and shrubs in Barbados. Oecologia 74, 612–616 (1988).
    ADS CAS PubMed Google Scholar
  18. Niklas,K. The allometry of plant reproductive biomass and stem diameter. Am. J. Bot. 80, 461–467 (1993).
    Google Scholar
  19. Thomas,S. C. Reproductive allometry in Malaysian rain forest trees: biomechanics verses optimal allocation. Evol. Ecol. 10, 517–530 (1996).
    Google Scholar
  20. Stevens,G. C. Lianas as structural parasites: the Bursera simaruba example. Ecol. 68, 77–81 (1987).
    Google Scholar
  21. Whittaker,R. H. & Woodwell,G. M. Dimension and production relations of trees and shrubs in the Brookhaven Forest, New York. Ecology 56, 1–25 (1968).
    Google Scholar
  22. Smith,D. W. & Tumey,P. R. Specific density and caloric value of the trunk wood of white birch, black cherry, and sugar maple and their relationship to forest succession. Can. J. For. Res. 12, 186–190 (1982).
    Google Scholar
  23. Augspurger,C. K. Seed dispersal of the tropical tree Platyposdium elegans and the escape of its seedlings from fungal pathogens. J. Ecol. 71, 759–771 (1983).
    Google Scholar
  24. Borchert,R. Soil and stem water storage determine phenology and distribution of Dry Tropical forest trees. Ecology 75, 1437–1449 (1994).
    Google Scholar
  25. Sobrado,M. A. Aspects of tissue water relations of evergreen and seasonal changes in leaf water potential components of evergreen and deciduous species coexisting in tropical forests. Oecologia 68, 413–416 (1986).
    ADS CAS PubMed Google Scholar
  26. Fearnside,P. M. Wood density for estimating forest biomass in Brazilian Amazonia. For. Ecol. Manage. 90, 59–87 (1997).
    Google Scholar
  27. Janzen,D. H. Guanacaste National Park: Tropical Education, and Cultural Restoration (Editorial Univ. Estatal a Distanca, San Jose, 1986).
    Google Scholar
  28. Niklas,K. J. Plant Allometry: The Scaling of Form and Process (Univ. Chicago Press, Chicago, 1994).
    Google Scholar
  29. Harvey,P. H. & Pagel,M. D. The Comparative Method in Evolutionary Biology (Oxford Univ. Press, Oxford, 1991).
    Google Scholar
  30. Malavassi,I. C. Maderas de Costa Rica: 150 Especies Forestales (Univ. de Costa Rica, San Jose, 1998).
    Google Scholar

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Acknowledgements

We thank R. J. Whittaker, G. C. Stevens, D. H. Janzen, J. J. Sullivan, L. Brown, C. A. F. Enquist, A. Masis and the A.C.G. for comments and help with data collection. B.J.E. was supported by a NSF postdoctoral fellowship, G.B.W. by the US Department of Energy and the NSF, E.L.C. by a MacArthur fellowship and J.H.B. by a University of New Mexico Faculty Research Semester. B.J.E., G.B.W. and J.H.B. were also supported by the Thaw Charitable Trust.

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Authors and Affiliations

  1. National Center for Ecological Analysis and Synthesis, 735 State Street, Suite 300, Santa Barbara, 93101-5504, California, USA
    Brian J. Enquist
  2. Department of Biology, University of New Mexico, Albuquerque, 87131, New Mexico, USA
    Eric L. Charnov & James H. Brown
  3. The Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, 87501, New Mexico, USA
    Brian J. Enquist, Geoffrey B. West & James H. Brown
  4. Theoretical Division, T-8, MS B285, Los Alamos National Laboratory, Los Alamos, 87545, New Mexico, USA
    Geoffrey B. West

Authors

  1. Brian J. Enquist
  2. Geoffrey B. West
  3. Eric L. Charnov
  4. James H. Brown

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Correspondence toBrian J. Enquist.

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Enquist, B., West, G., Charnov, E. et al. Allometric scaling of production and life-history variation in vascular plants.Nature 401, 907–911 (1999). https://doi.org/10.1038/44819

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