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Growth analysis of the self‐thinning stands of Pinus densiflora Sieb. et Zucc.
Author(s) -
XUE LI,
HAGIHARA AKIO
Publication year - 1998
Publication title -
ecological research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.628
H-Index - 68
eISSN - 1440-1703
pISSN - 0912-3814
DOI - 10.1046/j.1440-1703.1998.00256.x
Subject(s) - pinus densiflora , thinning , mathematics , constant (computer programming) , maximum density , volume (thermodynamics) , mathematical analysis , physics , thermodynamics , botany , ecology , biology , computer science , programming language
The competition‐density (C‐D) effect for self‐thinning Pinus densiflora Sieb. et Zucc. stands was analyzed. The relationship between biological time τ and physical time t followed a hyperbolic curve. The coefficients A t and B included in the reciprocal equation of the C‐D effect in self‐thinning stands (i.e. 1/ w = A t + B ), where w and ρ, respectively, represent the mean stem volume and the realized stand density, were calculated at each time. With increasing τ, the coefficient A t increased abruptly up to a maximum value, and then decreased gradually to a constant level, whereas the coefficient B decreased exponentially. The relationship between the realized stand density ρ and the initial stand density ρ i was confirmed to follow the equation: 1/=1/ i +, where 1/ɛ represents the asymptotic stand density at a given time. The ɛ‐τ relationship was represented by the equation: = p ( e μ −1), where p and μ are constants. The density in the self‐thinning stands tended to converge to the same density level after a sufficient lapse of time, irrespective of the difference in initial stand density. The time‐trajectory of the mean stem volume and asymptotic stand density on logarithmic coordinates moved gradually toward the self‐thinning line with a slope of approximately −3/2, whereas the time‐trajectory of the mean stem volume and full stand density moved initially along the self‐thinning line with a slope of approximately −3/2, and then changed to move along the maximum yield line with a slope of −1.0.