Scaling relations based on the geometric and metabolic theories in woody plant species: A review

Begon, 2006 von Bertalanffy, 1949, Problems of organic growth, Nature, 163, 156, 10.1038/163156a0 2000 Brown, 2004, Toward a metabolic theory of ecology, Ecology, 85, 1771, 10.1890/03-9000 Cheng, 2010, Scaling relationship between tree respiration rates and biomass, Biol. Lett., 6, 715, 10.1098/rsbl.2010.0070 Condés, 2017, Climate influences on the maximum size-density relationship in Scots pine (Pinus sylvestris L.) and European beech (Fagus sylvatica L.) stands, For. Ecol. Manage., 385, 295, 10.1016/j.foreco.2016.10.059 Coomes, 2007, Effects of size, competition and altitude on tree growth, J. Ecol., 95, 1084, 10.1111/j.1365-2745.2007.01280.x Coomes, 2009, Testing the metabolic scaling theory of tree growth, J. Ecol., 97, 1369, 10.1111/j.1365-2745.2009.01571.x Ducey, 2012, Evergreenness and wood density predict height-diameter scaling in trees of the northeastern United States, For. Ecol. Manage., 279, 21, 10.1016/j.foreco.2012.04.034 Duursma, 2010, Self-shading affects allometric scaling in trees, Funct. Ecol., 24, 723, 10.1111/j.1365-2435.2010.01690.x Enquist, 1998, Allometric scaling of plant energetics and population density, Nature, 395, 163, 10.1038/25977 Enquist, 2007, Biological scaling: does the exception prove the rule?, Nature, 445, E9, 10.1038/nature05548 Ferguson, 2002, The 3/4 power law in forest management: how to grow dead trees, For. Ecol. Manage., 169, 283, 10.1016/S0378-1127(01)00766-6 Hagihara, 1986, An estimation of the photosynthetic production of individual trees in a Chamaecyparis obtusa plantation, Tree Physiol., 1, 9, 10.1093/treephys/1.1.9 Hozumi, 1985, Phase diagramatica approach to the analysis of growth curve using the u–w diagram. – basic aspects, Bot. Mag. Tokyo, 98, 239, 10.1007/BF02488774 Kim, 2017, Modeling stand-level mortality based on maximum stem number and seasonal temperature, For. Ecol. Manage., 386, 37, 10.1016/j.foreco.2016.12.001 Kira, 1977, Production rates, 101 Larcher, 2003 Li, 2013, Initial density affects biomass–density and allometric relationships in self-thinning populations of Fagopyrum esculentum, J. Ecol., 101, 475, 10.1111/1365-2745.12039 Miyanishi, 1979, A general law of self-thinning in plant population, J. Theor. Biol., 78, 439, 10.1016/0022-5193(79)90342-4 Miyaura, 1988, Measurement of litterfall in a Japanese larch (Larix leptolepis Gordon) plantation by the cloth-trap method, J. Jpn. For. Soc., 70, 11 Miyaura, 1993, A growth model of a single sugi (Cryptomeria japonica) tree based on the dry matter budget of its aboveground parts, Tree Physiol., 13, 263, 10.1093/treephys/13.3.263 Mori, 2014, Respiratory scaling from seedlings to giant trees, Photosynth. Study, 24, 27 Mori, 2013, Ecological significance of whole-plant metabolic scaling, Jpn. J. Ecol., 63, 125 Mori, 2010, Mixed-power scaling of whole-plant respiration from seedlings to giant trees, Proc. Natl. Acad. Sci. U. S. A., 107, 1447, 10.1073/pnas.0902554107 Muller-Landau, 2006, Testing metabolic ecology theory for allometric scaling of tree size, growth and mortality in tropical forests, Ecol. Lett., 9, 575, 10.1111/j.1461-0248.2006.00904.x Ninomiya, 1981, Respiration of forest trees. I. Measurement of respiration in Pinus densi-thunbergii Uyeki by an enclosed standing tree method, J. Jpn. For. Soc., 63, 8 Ninomiya, 1983, Respiration of forest trees. II. Measurement of nighttime respiration in a Chamecyparis obtusa plantation, J. Jpn. For. Soc., 65, 193 Ninomiya, 1983, Respiration of forest trees. III. Estimation of community respiration, J. Jpn. For. Soc., 65, 275 Ogawa, 1977, Principles and methods of estimating primary production in forests, 29 Ogawa, 1977, Methods of estimating forest biomass Ogawa, 1989 Ogawa, 2009, Consideration of translocation into a growth model of a plant organ, Ecol. Model, 220, 1492, 10.1016/j.ecolmodel.2009.03.019 Ogawa, 2009, Theoretical analysis of the interrelationship between self-thinning, biomass density, and plant form in dense populations of hinoki (Chamaecyparis obtusa) seedlings, Eur. J. For. Res., 128, 447, 10.1007/s10342-009-0292-4 Ogawa, 1997, Seasonal courses of CO2 exchange and carbon balance in fruits of Cinnamomum camphora, Tree Physiol., 17, 415, 10.1093/treephys/17.6.415 Ogawa, 1985, Growth analysis of a seedling community of Chamaecyparis obtusa. I. Respiratiuon consumption, J. Jpn. For. Soc., 67, 218 Ogawa, 1985, Growth analysis of a seedling community of Chamaecyparis obtusa. VI. Estimation of individual gross primary production by the summation method, Transactions of the 30th Meeting of Chubu Branch of Japanese Forestry Society, 179 Ogawa, 1986, Growth analysis of a seedling community of Chamaecyparis obtusa. II. Primary production, J. Jpn. For. Soc., 68, 135 Ogawa, 1996, Analysis of translocatory balance in durian (Durio zibethinus) fruit, Tree Physiol., 16, 315, 10.1093/treephys/16.1-2.315 Press, 1992 Pretzsch, 2013, Species-specific and ontogeny-related stem allometry of European Forest Trees: evidence from extensive stem analyses, For. Sci., 59, 290, 10.5849/forsci.11-102 Pretzsch, 2012, Evidence of variant intra- and interspecific scaling of tree crown structure and relevance for allometric theory, Oecologia, 169, 637, 10.1007/s00442-011-2240-5 Price, 2007, A general model for allometric covariation in botanical form and function, Proc. Natl. Acad. Sci. U. S. A., 104, 13204, 10.1073/pnas.0702242104 R Core Team, 2018 Reich, 2006, Universal scaling of respiratory metabolism, size, and nitrogen in plants, Nature, 439, 457, 10.1038/nature04282 Shinozaki, 1979, Summation of simple power functions, Chem. Biol., 17, 331 Sprugel, 1991, Measuring woody-tissue respiration and photosynthesis, 329 Tadaki, 1977, Leaf biomass Tanaka, 1984, A method for the determination of respiratory quotient by gas chromatography, Appl. Entomol. Zool., 19, 456, 10.1303/aez.19.456 Waring, 1998, Net primary production of forests: a constant fraction of gross primary production?, Tree Physiol., 18, 129, 10.1093/treephys/18.2.129 Warton, 2006, Bivariate line fitting methods for allometry, Biol. Rev., 81, 259, 10.1017/S1464793106007007 West, 1997, A general model for the origin of allometric scaling laws in biology, Science, 276, 122, 10.1126/science.276.5309.122 West, 2001, A general model for ontogenetic growth, Nature, 413, 628, 10.1038/35098076 West, 2009, A general quantitative theory of forest structure and dynamics, Proc. Natl. Acad. Sci. U. S. A., 106, 7040, 10.1073/pnas.0812294106 Westoby, 1984, The self-thinning rule, Adv. Ecol. Res., 14, 167, 10.1016/S0065-2504(08)60171-3 White, 1980, Demographic factors in populations of plants, 21 White, 1970, Correlated changes in plant size and number in plant populations, J. Ecol., 58, 467, 10.2307/2258284 Yoda, 1963, Self-thinning in overcrowded pure stands under cultivated and natural conditions. (Intraspecific competition among higher plants XI), J. Biol. Osaka City Univ., 14, 107 Yokota, 1996, Dependence of the aboveground CO2 exchange rate on tree size in field-grown hinoki cypress (Chamaecyparis obtusa), J. Plant Res., 109, 177, 10.1007/BF02344543 Yokota, 1998, Changes in the relationship between tree size and aboveground respiration in field-grown hinoki cypress (Chamaecyparis obtusa) trees over three years, Tree Physiol., 18, 37, 10.1093/treephys/18.1.37 Yokota, 1994, Dependence of the aboveground respiration of hinoki cypress (Chamaecyparis obtusa) on tree size, Tree Physiol., 14, 467, 10.1093/treephys/14.5.467 Zeide, 1987, Analysis of the 3/2 power law of self-thinning, For. Sci., 32, 517 Zeide, 2010, Comparison of self-thinning models: an exercise in reasoning, Trees, 24, 1117, 10.1007/s00468-010-0484-z