We present a general growth model based on nonextensive statistical physics. We show that the most common unidimensional growth laws such as power law, exponential, logistic, Richards, Von Bertalanffy, Gompertz can be obtained. This model belongs to a particular case reported in (Physica A 369, 645 (2006)). The new evolution equation resembles the “universality” revealed by West for ontogenetic growth (Nature 413, 628 (2001)). We show that for early times the model follows a power law growth as [Formula: see text], where the exponent [Formula: see text] classifies different types of growth. Several examples are given and discussed.

中文翻译：

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基于非加性熵的广义q增长模型

我们提出了一个基于非广延统计物理学的通用增长模型。我们表明可以得到最常见的一维增长定律，如幂律、指数、逻辑、理查兹、冯伯塔朗菲、冈珀茨。该模型属于 (Physica A 369, 645 (2006)) 中报道的一个特定案例。新的进化方程类似于 West 揭示的个体发育生长的“普遍性”（Nature 413, 628 (2001)）。我们表明，在早期，该模型遵循 [公式：参见文本] 的幂律增长，其中指数 [公式：参见文本] 对不同类型的增长进行分类。给出并讨论了几个例子。