Allometric Convergence in Savanna Trees and Implications for the Use of Plant Scaling Models in Variable Ecosystems

PLoS ONE

Volumn 8, Issue 3, 2013, Pages

  Tredennick, Andrew T ^a   Bentley, Lisa Patrick ^b   Hanan, Niall P ^c  

^a Department of Environmental and Radiological Health Sciences   (United States)

^b University of Arizona   (United States)

^c SOUTH DAKOTA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALLOMETRY; ARTICLE; BAYES THEOREM; COMBRETUM GEITYNOPHYLUM; COMBRETUM GLUTINOSUM; DETARIUM MICROCARPUM; ECOSYSTEM; GEOMETRIC SIMILARITY MODEL; INTERMETHOD COMPARISON; MATHEMATICAL MODEL; METABOLIC SCALING THEORY; MONTE CARLO METHOD; NONHUMAN; PLANT EVOLUTION; PLANT LEAF; PLANT STEM; PREDICTION; PROBABILITY; SAVANNA; STRESS SIMILARITY MODEL; VALIDATION PROCESS;

BAYES THEOREM; ECOSYSTEM; MALI; MARKOV CHAINS; MODELS, THEORETICAL; MONTE CARLO METHOD; SPECIES SPECIFICITY; TREES;

EID: 84874585221     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0058241     Document Type: Article

References (73)

1. West GB, Brown JH, Enquist BJ, (1999) A general model for the structure and allometry of plant vascular systems. Nature 400: 664-667.
2. Niklas KJ (1994) Plant allometry the scaling of form and process. Chicago: University of Chicago Press.
3. McMahon TA, Kronauer RE, (1976) Tree structures: Deducing the principle of mechanical design. Journal of Theoretical Biology 59: 443-466.
4. Kozĺowski J, Konarzewski M, (2004) Is West, Brown and Enquist's model of allometric scaling mathematically correct and biologically relevant? Functional Ecology 18: 283-289.
5. Muller-Landau HC, Condit RS, Chave J, Thomas SC, Bohlman SA, et al. (2006) Testing metabolic ecology theory for allometric scaling of tree size, growth and mortality in tropical forests. Ecology Letters 9: 575-588.
6. Tilman D, HilleRisLambers J, Harpole S, Dybzinski R, Fargione J, et al. (2004) Does metabolic theory apply to community ecology? It's a matter of scale. Ecology 85: 1797-1799.
7. Coomes DA, (2006) Challenges to the generality of WBE theory. Trends in Ecology & Evolution 21: 593-596.
8. Coomes DA, Allen RB, (2009) Testing the Metabolic Scaling Theory of tree growth. Journal of Ecology 97: 1369-1373.
9. Moncrieff GR, Chamaillé-Jammes S, Higgins SI, O'Hara RB, Bond WJ, (2011) Tree allometries reflect a lifetime of herbivory in an African savanna. Ecology 92: 2310-2315.
10. Price CA, Ogle K, White EP, Weitz JS, (2009) Evaluating scaling models in biology using hierarchical Bayesian approaches. Ecology Letters 12: 641-651.
11. Brown JH, West GB, Enquist BJ, (2005) Yes, West, Brown and Enquist's model of allometric scaling is both mathematically correct and biologically relevant. Functional Ecology 19: 735-738.
12. Stark SC, Bentley LP, Enquist BJ, (2010) FORUM: Response to Coomes & Allen (2009)'Testing the metabolic scaling theory of tree growth'. Journal of Ecology 99: 741-747.
13. Ellis JE, Swift DM, (1988) Stability of African Pastoral Ecosystems: Alternate Paradigms and Implications for Development. Journal of Range Management 41: 450-459.
14. Sankaran M, Hanan NP, Scholes RJ, Ratnam J, Augustine DJ, et al. (2005) Determinants of woody cover in African savannas. Nature 438: 846-849.
15. Chesson P, Gebauer RLE, Schwinning S, Huntly N, Wiegand K, et al. (2004) Resource pulses, species interactions, and diversity maintenance in arid and semi-arid environments. Oecologia 141: 236-253.
16. Russo SE, Wiser SK, Coomes DA, (2007) Growth-size scaling relationships of woody plant species differ from predictions of the Metabolic Ecology Model. Ecology Letters 10: 889-901.
17. Sankaran M, Ratnam J, Hanan NP, (2004) Tree-grass coexistence in savannas revisited - insights from an examination of assumptions and mechanisms invoked in existing models. Ecology Letters 7: 480-490.
18. Ratnam J, Bond WJ, Fensham RJ, Hoffmann WA, Archibald S, et al. (2011) When is a 'forest' a savanna, and why does it matter? Global Ecology and Biogeography 20: 653-660.
19. Archibald S, Bond WJ, (2003) Growing tall vs growing wide: tree architecture and allometry of Acacia karroo in forest, savanna, and arid environments. Oikos 102: 3-14.
20. Enquist BJ, (2002) Universal scaling in tree and vascular plant allometry: toward a general quantitative theory linking plant form and function from cells to ecosystems. Tree Physiology 22: 1045-1064.
21. Enquist BJ, Niklas KJ, (2002) Global Allocation Rules for Patterns of Biomass Partitioning in Seed Plants. Science 295: 1517-1520.
22. Enquist BJ, Bentley LP (2012) Land Plants: New Theoretical Directions and Empirical Prospects. In: Sibly R, Brown JH, Kodric-Brown A, editors. Metabolic Ecology: A Scaling Approach. Hoboken, NJ: Wiley-Blackwell. 164-187.
23. McMahon T, (1973) Size and Shape in Biology. Science 179: 1201-1204.
24. Price CA, Gilooly JF, Allen AP, Weitz JS, Niklas KJ, (2010) The metabolic theory of ecology: prospects and challenges for plant biology. New Phytologist 188: 696-710.
25. Price CA, Enquist BJ, Savage VM, (2007) A general model for allometric covariation in botanical form and function. Proceedings of the National Academy of Sciences 104: 13204-13209.
26. Rüger N, Condit R, (2012) Testing metabolic theory with models of tree growth that include light competition. Functional Ecology 26: 759-765.
27. Xiao X, White EP, Hooten MB, Durham SL, (2011) On the use of log-transformation vs. nonlinear regression for analyzing biological power laws. Ecology 92: 1887-1894.
28. Kerkhoff AJ, Enquist BJ, (2009) Multiplicative by nature: Why logarithmic transformation is necessary in allometry. Journal of Theoretical Biology 257: 519-521.
29. Gelman A, Hill J (2009) Data analysis using regression and multilevel/hierarchical modeling. Cambridge, UK: Cambridge University Press.
30. Dellaportas P, Stephens DA, (1995) Bayesian Analysis of Errors-in-Variables Regression Models. Biometrics 51: 1085-1095.
31. Gelman A, (2006) Prior distributions for variance parameters in hierarchical models. Bayesian Analysis 1: 515-533.
32. Dietze MC, Wolosin MS, Clark JS, (2008) Capturing diversity and interspecific variability in allometries: A hierarchical approach. Forest Ecology and Management 256: 1939-1948.
33. Plummer M (2003) JAGS: a program for analysis of Bayesian graphical models using Gibbs sampling. In: Hornik K, Leish F, Zeileis A, editors. Proceedings of the 3rd International Workshop on Distributed Statistical Computing. Vienna, Austria.
34. Team RDC (2012) R: a language environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria.
35. Heidelberger P, Welch PD, (1983) Simulation run length control in the presence of an initial transient. Operations Research 31: 1109-1144.
36. Plummer M, Best N, Cowles K, Vines K (2010) coda: Output analysis and diagnostics for MCMC. R package version 0.14-4. R package version 0.14-4 ed: http://CRAN. R-project. org/package = coda.
37. Hobbs NT, Andrén H, Persson J, Aronsson M, Chapron G, (2012) Native predators reduce harvest of reindeer by Sámi pastoralists. Ecological Applications 22: 1640-1654.
38. Gelman A, Carlin JB, Stern HS, Rubin DB (2004) Bayesian data analysis. London: Chapman and Hall/CRC.
39. Anyamba A, Tucker CJ, (2005) Analysis of Sahelian vegetation dynamics using NOAA-AVHRR NDVI data from 1981-2003. Journal of Arid Environments 63: 596-614.
40. Held IM, Delworth TL, Lu J, Findell KL, Knutson TR, (2005) Simulation of Sahel drought in the 20th and 21st centuries. Proceedings of the National Academy of Sciences of the United States of America 102: 17891-17896.
41. Hoffmann WA, Geiger EL, Gotsch SG, Rossatto DR, Silva LCR, et al. (2012) Ecological thresholds at the savanna-forest boundary: how plant traits, resources and fire govern the distribution of tropical biomes. Ecology Letters 15: 759-768.
42. Staver AC, Bond WJ, Cramer MD, Wakeling JL, (2012) Top-down determinants of niche structure and adaptation among African Acacias. Ecology Letters 15: 673-679.
43. Hanan NP, Sea WB, Dangelmayr G, Govender N, (2008) Do fires in savannas consume woody biomass? A comment on approaches to modeling savanna dynamics. American Naturalist 171: 851-856.
44. Sperry JS, Smith DD, Savage VM, Enquist BJ, McCulloh KA, et al. (2012) A species-level model for metabolic scaling in trees I. Exploring boundaries to scaling space within and across species. Functional Ecology 26: 1054-1065.
45. Niklas KJ, Spatz H-C, (2004) Growth and hydraulic (not mechanical) constraints govern the scaling of tree height and mass. Proceedings of the National Academy of Sciences of the United States of America 101: 15661-15663.
46. von Allmen EI, Sperry JS, Smith DD, Savage VM, Enquist BJ, et al. (2012) A species-level model for metabolic scaling of trees II. Testing in a ring- and diffuse-porous species. Functional Ecology 26: 1066-1076.
47. Myneni RB, Yang W, Nemani RR, Huete AR, Dickinson RE, et al. (2007) Large seasonal swings in leaf area of Amazon rainforests. Proceedings of the National Academy of Sciences 104: 4820-4823.
48. Sultan SE, (2000) Phenotypic plasticity for plant development, function and life history. Trends in Plant Science 5: 537-542.
49. Osada N, Takeda H, Furukawa A, Awang M, (2001) Leaf dynamics and maintenance of tree crowns in a Malaysian rain forest stand. Journal of Ecology 89: 774-782.
50. Barker SB, Cumming G, Horsfield K, (1973) Quantitative morphometry of the branching structure of trees. Journal of Theoretical Biology 40: 33-43.
51. Bertram JA, (1989) Size-dependent differential scaling in branches: the mechanical design of trees revisited. Trees 3: 241-253.
52. Costes E, Guédon Y, (2012) Deciphering the ontogeny of a sympodial tree. Trees 26: 865-879.
53. Dahle G, Grabosky J, (2010) Allometric patterns in Acer platanoides (Aceraceae) branches. Trees 24: 321-326.
54. Day JS, Gould KS, (1997) Vegetative Architecture of Elaeocarpus hookerianus. Periodic Growth Patterns in Divaricating Juveniles. Annals of Botany 79: 607-616.
55. Horn HS (2000) Twigs, trees, and the dynamics of carbon in the landscape. In: Brown JH, West GB, editors. Scaling in Biology. Oxford: Oxford University Press.
56. Leopold LB, (1971) Trees and streams: The efficiency of branching patterns. Journal of Theoretical Biology 31: 339-354.
57. Renton M, Guédon Y, Godin C, Costes E, (2006) Similarities and gradients in growth unit branching patterns during ontogeny in 'Fuji' apple trees: a stochastic approach. Journal of Experimental Botany 57: 3131-3143.
58. Shinozaki K, Yoda K, Hozumi K, Kira T, (1964) A quantitative analysis of plant form;the pipe model theory,1. Japanese Journal of Ecology 14: 97-105.
59. Sone K, Noguchi K, Terashima I, (2005) Dependency of branch diameter growth in young Acer trees on light availability and shoot elongation. Tree Physiology 25: 39-48.
60. Price CA, Weitz JS, Savage VM, Stegen J, Clarke A, et al. (2012) Testing the metabolic theory of ecology. Ecology Letters: 1465-1474.
61. Price CA, Weitz JS, (2012) Allometric covariation: a hallmark behavior of plants and leaves. New Phytologist 193: 882-889.
62. Price CA, Enquist BJ, (2007) Scaling mass and morphology in leaves: an extension of the WBE model. Ecology 88: 1132-1141.
63. Bond WJ, Woodward FI, Midgley GF, (2005) The global distribution of ecosystems in a world without fire. New Phytologist 165: 525-538.
64. Bond WJ, Keeley JE, (2005) Fire as a global 'herbivore': the ecology and evolution of flammable ecosystems. Trends in Ecology & Evolution 20: 387-394.
65. Bond WJ, (2008) What Limits Trees in C4 Grasslands and Savannas? Annual Review of Ecology, Evolution, and Systematics 39: 641-659.
66. Staver AC, Archibald S, Levin S, (2011) Tree cover in sub-Saharan Africa: Rainfall and fire constrain forest and savanna as alternative stable states. Ecology 92: 1063-1072.
67. Staver AC, Archibald S, Levin SA, (2011) The global extent and determinants of savanna and forest as alternative biome states. Science 334: 230-232.
68. Hoffmann WA, Orthen B, Nascimento PKVD, (2003) Comparative Fire Ecology of Tropical Savanna and Forest Trees. Functional Ecology 17: 720-726.
69. Gignoux J, Clobert J, Menaut J-C, (1997) Alternative fire resistance strategies in savanna trees. Oecologia 110: 576-583.
70. Hoffmann WA, Adasme R, Haridasan M, T. de Carvalho M, Geiger EL, et al. (2009) Tree topkill, not mortality, governs the dynamics of savanna-forest boundaries under frequent fire in central Brazil. Ecology 90: 1326-1337.
71. Dodonov P, Lucena IC, Leite MB, Silva Matos DM, (2011) Allometry of some woody plant species in a Brazilian savanna after two years of a dry season fire. Brazilian Journal of Biology 71: 527-535.
72. McConnaughay KDM, Coleman JS, (1999) Biomass allocation in plants: ontogeny or optimality? A test along three resource gradients. Ecology 80: 2581-2593.
73. Lawes MJ, Adie H, Russell-Smith J, Murphy B, Midgley JJ, (2011) How do small savanna trees avoid stem mortality by fire? The roles of stem diameter, height and bark thickness. Ecosphere 2: art42.