Abstract
A sugi ( Cryptomeria japonica D. Don) plantation was monitored for 20 years to investigate the time course of self-thinning. Mean stem volume ( w ) increased with decreasing density ( ρ), resulting in self-thinning line expressed as ln w = ln K − α ln ρ , where K and α are coefficients. The overall slope of the line, if a single straight line is fitted, was −2.17. The slope of the trajectory tended to decrease toward a value of −3/2 with increasing stand age. The phase self-thinning line ( Xue et al., 1997) tended to decrease toward a slope of −3/2 with increasing stand age. The time-trajectory of mean stem volume and density was expressed as a mathematical model which incorporates the Tadaki's model into the 3/2 power law of self-thinning. The present model is regarded as a generalized equation in comparison with other published mathematical models.
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