A growth model of a single sugi (Cryptomeria japonica) tree based on the dry matter budget of its aboveground parts

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Abstract
Growth of a single sugi (Cryptomeria japonica (L.f.) D. Don.) tree was analyzed on the basis of a dry matter budget. The aboveground net production rate and death rate were defined as the anabolic rate and catabolic rate, respectively. Growth rate of aboveground tree weight, vw (kgdw year−1), was defined as follows: vw = vp – vd (1) where vp (kgdw year−1) is the aboveground net production rate and vd (kgdw year−1) is the aboveground death rate. The value of vd is obtained by measuring the monthly clippings of new dead leaves and branches attached to a sample tree. The value of vw was calculated as the annual difference in the estimated aboveground tree weight, wT (kgdw). Finally, the value of vp was estimated as the sum of the values of vd and vw. The following allometric relationships were found between vp and wT and between vd and wT: vp = awTα, vd = bwTβ (2). Combining Equations 1 and 2 gives a growth equation, Bertalanffy's equation, of the sample tree. dwT/dt = vw = awTα – bwTβ (3). Because the growth curve of wT was derived from Equation 3, the analysis of the growth of wT is based on direct measurement of the dry matter budget.

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