Evidence of variant intra- and interspecific scaling of tree crown structure and relevance for allometric theory

Oecologia

Volumn 169, Issue 3, 2012, Pages 637-649

  Pretzsch, Hans ^a   Dieler, Jochen ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Euclidian geometry; Fractal dimension; Metabolic scaling theory; Self thinning; Structural allometry

Indexed keywords

ALLOMETRY; ANGIOSPERM; CANOPY ARCHITECTURE; EMPIRICAL ANALYSIS; FOREST MANAGEMENT; INTERSPECIFIC INTERACTION; INTRASPECIFIC INTERACTION; METABOLISM; SELF THINNING;

ALGORITHM; ARTICLE; BEECH; BIOMETRY; HISTOLOGY; OAK; SPECIES DIFFERENCE; SPRUCE; TREE;

ALGORITHMS; BIOMETRY; FAGUS; PICEA; QUERCUS; SPECIES SPECIFICITY; TREES;

EUCLIDIA; GYMNOSPERMAE; MAGNOLIOPHYTA;

EID: 84862210277     PISSN: 00298549     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00442-011-2240-5     Document Type: Article

References (53)

1. Akaike H (1974) A new look at the statistical identification model. IEEE Trans Automat Control 19: 716-723.
2. Bates D, Maechler M, Bolker B (2011) lme4: Linear mixed-effects models using S4 classes. R package version 0. 999375-39.
3. von Bertalanffy L (1951) Theoretische Biologie: II. Band, Stoffwechsel, Wachstum, 2nd edn. Francke, Bern.
4. Dodds PS, Rothman DH, Weitz JS (2001) Re-examination of the "3/4-law" of metabolism. J Theor Biol 209: 9-27.
5. Duursma RA, Mäkelä A, Reid DEB, Jokela EJ, Porté AJ, Roberts SD (2010) Self-shading affects allometric scaling in trees. Funct Ecol 24: 723-730.
6. Enquist BJ, Niklas KJ (2001) Invariant scaling relations across tree-dominated communities. Nature 410: 655-660.
7. Enquist BJ, Brown JH, West GB (1998) Allometric scaling of plant energetics and population density. Nature 395: 163-165.
8. Enquist BJ, West GB, Brown JH (2009) Extension and evaluations of a general quantitative theory of forest structure and dynamics. Proc Natl Acad Sci USA 106: 7046-7051.
9. von Gadow K (1986) Observation on self-thinning in pine plantations. S Afr J Sci 82: 364-368.
10. Gorham E (1979) Shoot height, weight and standing crop in relation to density of monospecific plant stands. Nature 279: 148-150.
11. Hutchinson JE (1981) Fractals and self similarity. Indiana Univ Math J 30: 713-747.
12. Huxley JS (1932) Problems of relative growth. Lincoln MacVeagh, Dial Press, New York.
13. Knigge W, Schulz H (1966) Grundriss der Forstbenutzung. Paul Parey, Hamburg.
14. Kolokotrones T, Van S, Deeds EJ, Fontana W (2010) Curvature in metabolic scaling. Nature 464: 753-756.
15. Kozlowski J, Konarzewski M (2004) Is West, Brown and Enquist's model of allometric scaling mathematically correct and biologically relevant? Funct Ecol 18: 283-289.
16. Mandelbrot BB (1983) The fractal geometry of nature. Freeman, New York.
17. McCarthy MC, Enquist BJ (2007) Consistency between an allometric approach and optimal partitioning theory in global patterns of plant biomass allocation. Funct Ecol 21: 713-720.
18. McMahon TA, Kronauer RE (1976) Tree structures: deducing the principle of mechanical design. J Theor Biol 59: 443-466.
19. Niklas KJ (1994) Plant allometry. University of Chicago Press, Chicago.
20. Niklas KJ (2004) Plant allometry: is there a grand unifying theory? Biol Rev 79: 871-889.
21. Niklas KJ, Cobb ED, Spatz HC (2009) Predicting the allometry of leaf surface area and dry mass. Am J Bot 96: 531-536.
22. Oldemann RAA (1990) Forests: elements of silvology. Springer, Berlin.
23. Osawa A (1995) Inverse relationship of crown fractal dimension to self-thinning exponent of tree populations: a hypothesis. Can J For Res 25: 1608-1617.
24. Pinheiro JC, Bates DM (2000) Mixed-effects models in S and S-Plus. Springer, New York.
25. Pretzsch H (2006) Species-specific allometric scaling under self-thinning. Evidence from long-tern plots in forest stands. Oecologia 146: 572-583.
26. Pretzsch H (2009) Forest dynamics, growth and yield. Springer, Berlin.
27. Pretzsch H (2010) Re-evaluation of allometry: state-of-the-art and perspective regarding individuals and stands of woody plants. Prog Bot 71: 339-369.
28. Pretzsch H, Biber P (2005) A re-evaluation of Reineke's rule and stand density index. For Sci 51: 304-320.
29. Pretzsch H, Biber P (2010) Size-symmetric versus size-asymmetric competition and growth partitioning among trees in forest stands along an ecological gradient in central Europe. Can J For Res 40(2): 370-384.
30. Pretzsch H, Mette T (2008) Linking stand-level self-thinning allometry to the tree-level leaf biomass allometry. Trees 22: 611-622.
31. Pretzsch H, Schütze G (2005) Crown allometry and growing space efficiency of Norway spruce (Picea abies (L.) Karst.) and European beech (Fagus sylvatica L.) in pure and mixed stands. Plant Biol 7: 628-639.
32. Price CA, Ogle K, White EP, Weitz JS (2009) Evaluating scaling models in biology using hierarchical Bayesian approaches. Ecol Lett 12: 641-651.
33. Price CA, Gilooly JF, Allen AP, Weitz JS, Niklas KJ (2010) The metabolic theory of ecology: prospects and challenges for plant biology. New Phytol 188: 696-710.
34. Purves DW, Lichstein JW, Pacala SW (2007) Crown plasticity and competition for canopy space: a new spatially implicit model parameterized for 250 North American tree species. Plos ONE 9: e870.
35. Reich PB, Tjoelker MG, Machado JL, Oleksyn J (2006) Universal scaling of respiratory metabolism, size and nitrogen in plants. Nature 439: 457-461.
36. Reineke LH (1933) Perfecting a stand-density index for even-aged forests. J Agric Res 46: 627-638.
37. Roloff A (2001) Baumkronen. Verständnis und praktische Bedeutung eines komplexen Naturphänomens, Ulmer, Stuttgart.
38. Rubner M (1931) Die Gesetze des Energieverbrauchs bei der Ernährung. Proc preuß Akad Wiss Physik-Math Kl 16/18, Berlin, Wien.
39. Sackville Hamilton NR, Matthew C, Lemaire G (1995) In defence of the -3/2 boundary rule. Ann Bot 76: 569-577.
40. Schwarz G (1978) Estimating the dimension of a model. Anal Stat 6: 461-464.
41. R Development Core Team (2009) R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, ISBN 3-900051-07-0, Vienna, Austria.
42. Teissier G (1934) Dysharmonies et discontinuités dans la Croissance. Acta Sci et Industr 95 (Exposés de Biometrie, 1). Hermann, Paris.
43. Warton DI, Wright IJ, Falster DS, Westoby M (2006) Bivariate line-fitting methods for allometry. Biol Rev 81: 259-291.
44. Weiner J (2004) Allocation, plasticity and allometry in plants. Perspect Plant Ecol Evol Syst 6(4): 207-215.
45. Weiner J, Thomas SC (1992) Competition and allometry in three species of annual plants. Ecology 73(2): 648-656.
46. Weller DE (1987) A reevaluation of the -3/2 power rule of plant self-thinning. Ecol Monogr 57: 23-43.
47. West GB, Brown JH, Enquist BJ (1997) A general model for the origin of allometric scaling laws in biology. Science 276: 122-126.
48. West GB, Enquist BJ, Brown JH (2009) A general quantitative theory of forest structure and dynamics. Proc Natl Acad Sci USA 106(17): 7040-7045.
49. Yoda KT, Kira T, Ogawa H, Hozumi K (1963) Self-thinning in overcrowded pure stands under cultivated and natural conditions. J Inst Polytech, Osaka Univ D 14: 107-129.
50. Yoda KT, Shinozaki K, Ogawa J, Hozumi K, Kira T (1965) Estimation of the total amount of respiration in woody organs of trees and forest forest communities. J Biol Osaka City Univ 16: 15-26.
51. Zeide B (1985) Tolerance and self-tolerance of trees. For Ecol Manag 13: 149-166.
52. Zeide B (1987) Analysis of the 3/2 power law of self-thinning. For Sci 33: 517-537.
53. Zeide B (1998) Fractal analysis of foliage distribution in loblolly pine crowns. Can J For Res 28: 106-114.