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A general integrative model for scaling plant growth, carbon flux, and functional trait spectra

Abstract

Linking functional traits to plant growth is critical for scaling attributes of organisms to the dynamics of ecosystems1,2 and for understanding how selection shapes integrated botanical phenotypes3. However, a general mechanistic theory showing how traits specifically influence carbon and biomass flux within and across plants is needed. Building on foundational work on relative growth rate4,5,6, recent work on functional trait spectra7,8,9, and metabolic scaling theory10,11, here we derive a generalized trait-based model of plant growth. In agreement with a wide variety of empirical data, our model uniquely predicts how key functional traits interact to regulate variation in relative growth rate, the allometric growth normalizations for both angiosperms and gymnosperms, and the quantitative form of several functional trait spectra relationships. The model also provides a general quantitative framework to incorporate additional leaf-level trait scaling relationships7,8 and hence to unite functional trait spectra with theories of relative growth rate, and metabolic scaling. We apply the model to calculate carbon use efficiency. This often ignored trait, which may influence variation in relative growth rate, appears to vary directionally across geographic gradients. Together, our results show how both quantitative plant traits and the geometry of vascular transport networks can be merged into a common scaling theory. Our model provides a framework for predicting not only how traits covary within an integrated allometric phenotype but also how trait variation mechanistically influences plant growth and carbon flux within and across diverse ecosystems.

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Figure 1: Using plant traits to predict allometric growth for gymnosperms and angiosperms.
Figure 2: Using plant traits to predict individual growth rates.
Figure 3: Using plant traits and growth rate to predict carbon use efficiency and FTS.

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References

  1. Diaz, S. & Cabido, M. Plant functional types and ecosystem function in relation to global change. J. Veg. Sci. 8, 463–474 (1997)

    Article  Google Scholar 

  2. Lavorel, S. & Garnier, E. Predicting changes in community composition and ecosystem functioning from plant traits: revisiting the Holy Grail. Funct. Ecol. 16, 545–556 (2002)

    Article  Google Scholar 

  3. Reich, P. B. et al. The evolution of plant functional variation: Traits, spectra, and strategies. Int. J. Plant Sci. 164, S143–S164 (2003)

    Article  Google Scholar 

  4. Hunt, R. Plant Growth Analysis (Edward Arnold Limited, London, 1978)

    Google Scholar 

  5. Poorter, H. in Variation in Growth Rate and Productivity of Higher Plants (eds Lambers, H., Cambridge, M. L., Konings, H. & Pons, T. L.) 45–68 (SPB Academic Publishing, The Hague, 1989)

    Google Scholar 

  6. Grime, J. P. & Hunt, R. Relatve growth-rate: its range and adaptive significance in a local flora. J. Ecol. 63, 393–422 (1975)

    Article  Google Scholar 

  7. Reich, P. B., Walters, M. B. & Ellsworth, D. S. From tropics to tundra: global convergence in plant functioning. Proc. Natl Acad. Sci. USA 94, 13730–13734 (1997)

    Article  ADS  CAS  Google Scholar 

  8. Wright, I. J. et al. The worldwide leaf economics spectrum. Nature 428, 821–827 (2004)

    Article  ADS  CAS  Google Scholar 

  9. Wright, I. J. et al. Relationships among major dimensions of plant trait variation in 7 neotropical forests. Ann. Bot. Lond. doi: 10.1093/aob/mcl066 (2006)

  10. 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)

    Article  ADS  CAS  Google Scholar 

  11. Enquist, B. J., West, G. B., Charnov, E. L. & Brown, J. H. Allometric scaling of production and life-history variation in vascular plants. Nature 401, 907–911 (1999)

    Article  ADS  CAS  Google Scholar 

  12. McGill, B., Enquist, B. J., Weiher, E. & Westoby, M. Rebuilding community ecology from functional traits. Trends Ecol. Evol. 21, 178–185 (2006)

    Article  Google Scholar 

  13. Westoby, M., Falster, D. S., Moles, A. T., Vesk, P. A. & Wright, I. J. Plant ecological strategies: some leading dimensions of variation between species. Annu. Rev. Ecol. Syst. 33, 125–159 (2002)

    Article  Google Scholar 

  14. Field, C. & Mooney, H. A. in On the Economy of Plant Form and Function (ed. Givnish, T. J.) 25–55 (Cambridge Univ. Press, Cambridge, UK, 1986)

    Google Scholar 

  15. Pickup, M., Westoby, M. & Basden, A. Dry mass costs of deploying leaf area in relation to leaf size. Funct. Ecol. 19, 88–97 (2005)

    Article  Google Scholar 

  16. Konings, H. in Variation in Growth Rate and Productivity of Higher Plants (eds Lambers, H., Cambridge, M. L., Konings, H. & Pons, T. L.) 101–123 (SPB Academic Publishing, The Hague, 1989)

    Google Scholar 

  17. Santiago, L. S. et al. Leaf photosynthetic traits scale with hydraulic conductivity and wood density in Panamanian forest canopy trees. Oecologia 140, 543–550 (2004)

    Article  ADS  CAS  Google Scholar 

  18. Bonser, S. P. Form defining function: interpreting leaf functional variability in integrated plant phenotypes. Oikos 114, 187–190 (2006)

    Article  Google Scholar 

  19. Shipley, B., Lechowicz, M. J., Wright, I. & Reich, P. B. Fundamental trade-offs generating the worldwide leaf economics spectrum. Ecology 87, 535–541 (2006)

    Article  Google Scholar 

  20. Niklas, K. J. & Enquist, B. J. Invariant scaling relationships for interspecific plant biomass production rates and body size. Proc. Natl Acad. Sci. USA 98, 2922–2927 (2001)

    Article  ADS  CAS  Google Scholar 

  21. Lambers, H., Freijsen, N., Poorter, H., Hirose, T. & van der Werff, H. in Variation in Growth Rate and Productivity of Higher Plants (eds Lambers, H., Cambridge, M. L., Konings, H. & Pons, T. L.) 1–17 (SPB Academic Publishing, The Hague, 1989)

    Google Scholar 

  22. Gifford, R. M. Plant respiration in productivity models: conceptualisation, representation and issues for global terrestrial carbon-cycle research. Funct. Plant Biol. 30, 171–186 (2003)

    Article  Google Scholar 

  23. Enquist, B. J. et al. Biological scaling: Does the exception prove the rule? Nature 445, E9–E10 (2007)

    Article  ADS  CAS  Google Scholar 

  24. Tilman, D. Plant Strategies and the Dynamics and Structure of Plant Communities (Princeton Univ. Press, Princeton, 1988)

    Google Scholar 

  25. Waring, R. H., Landsberg, J. J. & Williams, M. Net primary production of forests: a constant fraction of gross primary production? Tree Physiol. 18, 129–134 (1998)

    Article  Google Scholar 

  26. Chambers, J. C. et al. Respiration from a tropical forest ecosystem: Partitioning of sources and low carbon use efficiency. Ecol. Appl. 14, S72–S88 (2004)

    Article  Google Scholar 

  27. Enquist, B. J., Kerkhoff, A. J., Huxman, T. E. & Economo, E. P. Adaptive differences in plant physiology and ecosystem invariants: insights from a metabolic scaling model. Glob. Change Biol. 13, 591–609 (2007)

    Article  ADS  Google Scholar 

  28. Kerkhoff, A. J., Enquist, B. J., Elser, J. J. & Fagan, W. F. Plant allometry, stoichiometry and the temperature-dependence of primary productivity. Glob. Ecol. Biogeogr. 14, 585–598 (2005)

    Article  Google Scholar 

  29. Arnold, A. E. & Lutzoni, F. Diversity and host range of foliar endophytes: Are tropical leaves biodiversity hotspots? Ecology 88, 541–549 (2007)

    Article  Google Scholar 

  30. Price, C. A., Enquist, B. J. & Savage, V. M. A general model for allometric covariation in botanical form and function. Proc. Natl Acad. Sci. USA 104, 13204–13209 (2007)

    Article  ADS  CAS  Google Scholar 

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Acknowledgements

We especially thank J. Stegen for assistance with data and comments. We also thank S. R. Saleska, T. Huxman, A. Angert, A. E. B. Arnold, J. Pither, C. Lamanna and P. Chesson for comments and suggestions on earlier drafts. I. J. Wright provided constructive comments. B.J.E., A.J.K., C.A.P. and N.G.S. were supported by a NSF Career Award (to B.J.E.). A.J.K. was also supported by an HHMI Undergraduate Science Education Program Award to Kenyon College and N.G.S. was supported by a USGS fellowship. M.C.M. and S.C.S. were supported by an NSF predoctoral award. I. J. Wright and M. Pickup shared data sets. In addition, we acknowledge the use of GLOPNET data in some of our analyses.

Author Contributions B.J.E. designed the study. B.J.E., A.J.K. and S.C.S. developed the theory, compiled and analysed data, and wrote the paper. N.G.S., M.C.M. and C.A.P. provided data, ideas and comments on manuscript drafts.

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Supplementary Information

This file contains Supplementary Discussion and Equations, Supplementary Methods, Supplementary Figures S1-S4 (Graphs), Supplementary Tables S1-S2 and additional references. (PDF 7730 kb)

Supplementary Data

This file contains the original data which supports Supplementary Table S1 in file s1. Please note that this file was originally omitted and was uploaded on April 2nd, 2009. (XLS 194 kb)

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Enquist, B., Kerkhoff, A., Stark, S. et al. A general integrative model for scaling plant growth, carbon flux, and functional trait spectra. Nature 449, 218–222 (2007). https://doi.org/10.1038/nature06061

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