Time-trajectory of Mean Phytomass and Density in Self-thinning Plant Populations

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概要

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• Reconciling the competition-density (C-D) effect observed at a particular momentin time with the 3/2 power law of self-thinning observed over time, a model fordescribing the time-trajectory of mean phytomass w and density p (briefly, the w-ptrajectory) during the course of self-thinning is theoretically derived. The model givesa consistent, full explanation of the w-p trajectories of populations starting with anyinitial density. The larger value of the relative mortality rate with respect to biologicaltime of a population, which is governed by the 3/2 power law of self-thinning, plays animportant role in relieving the C-D effect, so that the w-p trajectories asymptoticallyapproach the self-thinning line on logarithmic coordinates at the earlier stage ofgrowth. The survivorship curve is divided into three types owing to initial density:logistic, exponential and cologistic types of decrease. All populations tend to decreaseexponentially in number at the same rate of relative mortality after a sufficient lapse oftime, irrespective of their initial density. The populations decreasing exponentially innumber follow the 3/2 power law of self-thinning. The carrying capacity of yield isexplicitly defined as a function of biological time, so that it is concluded that thecarrying capacity increases exponentially with increasing biological time. Anapproximated expression of the model for the w-p trajectory is proposed and isconfirmed to mimic well the time-trajectories of mean stem volume and density duringthe development of eastern white pine (Pinus strobus L.) plantations.

• 琉球大学理学部の論文

著者

• Hagihara A

  Univ. Ryukyus Okinawa Jpn

• Hagihara Akio

  Forest Ecophysiology Laboratory Forest Sciences Division School Of Agricultural Sciences Nagoya Univ

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• Time-trajectory of Mean Phytomass and Density in Self-thinning Plant Populations

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