Abstract
Scaling invariance in living systems emerges from complex interactions of organisms with the physical world. According to the Metabolic Scaling Theory (MST), the way that energy and materials are distributed generally follows an invariant power law scaling with the body mass, independent on the species and the environment. Such generalization has been defined universal or ubiquitous, which is however not broadly accepted. For native woody savanna species in the Nhecolândia landscape, the scaling between trunk diameter and the whole plant body mass as d ~ m 3/8 follows MST prediction. Nevertheless, empirical data and model suggest biomass allocation beyond 50% to branches for trunk diameters above 18 cm, whereas root–trunk ratio does not vary significantly with plant size. The elevated water table explains such biomass allocation by limiting vertical root growth while enhancing branch growth to cope with evapotranspiration. Therefore, empirical deviations from MST scaling exponents of biomass partitioning for these plants can be understood as ecohydrological adaptations to conspicuous physical constraints.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
http://instagram.com/anthillart.
References
Glazier DS (2013) Log-transformation is useful for examining proportional relationships in allometric scaling. J Theor Biol 334:200–203
West GB, Enquist BJ, Brown JH (2009) A general quantitative theory of forest structure and dynamics. Proc Natl Acad Sci 106(17):7040–7045
Brown JH, Gupta VK, Li B-L, Milne BT, Restrepo C, West GB (2002) The fractal nature of nature: power laws, ecological complexity and biodiversity. Philos Trans R Soc Lond B Biol Sci 357(1421):619–626
Turcotte DL (1997) Fractals and chaos in geology and geophysics. Cambridge University Press, New York
Malamud BD, Turcotte DL (1999) Self-affine time series: measures of weak and strong persistence. J Stat Plan Inference 80(1–2):173–196
Kolmogorov AN (1941) Dissipation of energy in locally isotropic turbulence. Dokl Akad Nauk SSSR 32:16–18
West GB, Brown JH, Enquist BJ (1999) The fourth dimension of life: fractal geometry and allometric scaling of organisms. Science 284(5420):1677–1679
Enquist BJ, Niklas KJ (2001) Invariant scaling relations across tree-dominated communities. Nature 410(6829):655–660
Bastviken D, Cole J, Pace M, Tranvik L (2004) Methane emissions from lakes: dependence of lake characteristics, two regional assessments, and a global estimate. Global Biogeochem Cycles 18(4), GB4009
Lima IBT, Ramos FM, Bambace LAW, Rosa RR (2008) Methane emissions from large dams as renewable energy resources: a developing nation perspective. Mitig Adapt Strat Gl 13(2):193–206
West GB (1999) The origin of universal scaling laws in biology. Physica A 263(1–4):104–113
Whitfield J (2004) Ecology’s big hot idea. PLoS Biol 2:e440
Coomes DA, Allen RB (2009) Testing the metabolic scaling theory of tree growth. J Ecol 97(6):1369–1373
Coomes DA, Lines ER, Allen RB (2011) Moving on from metabolic scaling theory: hierarchical models of tree growth and asymmetric competition for light. J Ecol 99(3):748–756
Enquist BJ, West GB, Brown JH (2009) Extensions and evaluations of a general quantitative theory of forest structure and dynamics. Proc Natl Acad Sci 10:2009
Price CA, Weitz JS, Savage VM, Stegen J, Clarke A, Coomes DA et al (2012) Testing the metabolic theory of ecology. Ecol Lett 15(12):1465–1474
Salis SM, Assis MA, Mattos PP, Pião ACS (2006) Estimating the aboveground biomass and wood volume of savanna woodlands in Brazil’s Pantanal wetlands based on allometric correlations. For Ecol Manage 228(1–3):61–88
Salis SM, Assis MA, Crispim SMA, Casagrande JC (2006) Distribuição e abundância de espécies arbóreas em cerradões no Pantanal, estado do mato grosso do sul Brasil. Braz J Bot 29:339–352
Salis SM, Lehn CR, Mattos PP, Bergier I, Crispim SMA (2014) Root behavior of savanna species in Brazil’s Pantanal wetland. Glob Ecol Conserv 2:378–384
Niklas KJ, Spatz H-C (2004) Growth and hydraulic (not mechanical) constraints govern the scaling of tree height and mass. Proc Natl Acad Sci U S A 101(44):15661–15663
Pott A, Silva JSV (2015) Terrestrial and aquatic vegetation diversity of the Pantanal wetland. Hdb Env Chem. doi:10.1007/698_2014_352
Grace J, José JS, Meir P, Miranda HS, Montes RA (2006) Productivity and carbon fluxes of tropical savannas. J Biogeogr 33(3):387–400
D’Odorico P, Laio F, Porporato A, Ridolfi L, Rinaldo A, Rodriguez-Iturbe I (2010) Ecohydrology of terrestrial ecosystems. BioScience 60(11):898–907
Tredennick AT, Bentley LP, Hanan NP (2013) Allometric convergence in savanna trees and implications for the use of plant scaling models in variable ecosystems. PLoS One 8(3):e58241
Kempes CP, West GB, Crowell K, Girvan M (2011) Predicting maximum tree heights and other traits from allometric scaling and resource limitations. PLoS One 6(6):e20551
Ramos FM, Rosa RR, Neto CR, Bolzan MJA, Abren Sá LD (2001) Nonextensive thermostatistics description of intermittency in turbulence and financial markets. Nonlinear Anal Theory, Methods Appl 47(5):3521–3530
Watanabe MDB, Ortega E (2014) Dynamic energy accounting of water and carbon ecosystem services: a model to simulate the impacts of land-use change. Ecol Model 271:113–131
Gillooly JF, Brown JH, West GB, Savage VM, Charnov EL (2001) Effects of size and temperature on metabolic rate. Science 293(5538):2248–51
Acknowledgments
The authors thank Zachary Brym (Utah State University) for kindly reviewing this chapter.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Bergier, I., Salis, S.M., Mattos, P.P. (2015). Metabolic Scaling Applied to Native Woody Savanna Species in the Pantanal of Nhecolândia. In: Bergier, I., Assine, M. (eds) Dynamics of the Pantanal Wetland in South America. The Handbook of Environmental Chemistry, vol 37. Springer, Cham. https://doi.org/10.1007/698_2015_354
Download citation
DOI: https://doi.org/10.1007/698_2015_354
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18734-1
Online ISBN: 978-3-319-18735-8
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)