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Abstract Plant self‐thinning, which is density‐dependent mortality, has several observed characteristics, including a certain mathematical relationship between growth and density. The original equation that describes self‐thinning is logw¯=C−(3/2)×logdensity, w¯ = mean weight. The basic equation is supported by data from ecology and forestry, but there have been a number of reported slopes that differ from −3/2. This study proposed that change in plant density over time decreases exponentially and that plant growth (weight or volume) increases over time according to one of two models: either exponential growth or sigmoid growth. Exponential growth with a finite time limit, in conjunction with exponential decrease in density, led to the equation log w = C + α/γ × log density, where α/γ |
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