Relationship between Maximum Stem Volume and Density during a Courseof Self-thinning in a Cryptomeria japonica Plantation
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Abstract
Cryptomeria japonica plantation was monitored every year during 15 years from 1983 to 1997 for stem diameter and volume. The reciprocal equation, 1Y= A + BN , was applied to the relationship between cumulative volume Y and cumulative number N from the largest tree in the stand each year. The parameters A and B, which means respectively the reciprocal of an asymptotic value of total stand stem volume and the reciprocal of the maximum stem volume, are related by a power function. The power functional relationship between A and B derived a linear relationship of B-points (NB, YB; NB = BA, YB = 1 2A) of each Y-N curve on log-log coordinates. The gradient of B-point line was so steep that the Y-N curve moved parallel upward year by year. The time trajectory of mean stem volume (‾w ) and density (ρ) provided evidence in favor of the 3/2 power law of self-thinning, because the gradient of ‾w -ρ trajectory on log-log coordinates approximated to -3/2 at the final stage of stand development. On the basis of the results of Y-N curves and ‾w -ρ trajectory, the time trajectory of maximum stem volume wmaxobs and ρ was derived theoretically. The gradient of wmax obs - ρ trajectory on log-log coordinates is calculated to be -0.6105 at the final stage. The gradient of wmax obs - ρ trajectory was steeper than that of ‾w -ρ trajectory at the early stage, while the former is gentler than the latter at the later stage.
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