Acta Scientiarum Naturalium Universitatis Pekinensis

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Self-Thinning Law in Plant Populations: -3/2 vs -4/3HAN Wenxuan1,2 FANG Jingyun1   

  1. 1Department of Ecology, and Key Laboratory for Earth Surface Processes of the Ministry of Education, Peking University, Beijing 100871; 2College of Resources and Environmental Sciences, China Agricultural University, Beijing 100094;
  • Received:2007-07-09 Online:2008-07-20 Published:2008-07-20



  1. 1北京大学城市与环境学院生态学系、北京大学地表过程分析与模拟教育部重点实验室,北京100871;2中国农业大学资源与环境学院环境科学与工程系,北京100094;

Abstract: Yoda's -3/2 power rule or law of self-thinning based on the isometric scaling growth of plant, as well as a -4/3 law of self-thinning based on the energy equivalence ecological theory and the allometric relationship between metabolic rate and body mass of individuals are reviewed. Although the existence of a general self-thinning trajectory with a slope of -3/2 is questioned extensively, there is no evidence to reject the -3/2 power rule as the upper limit boundary line, below which all size-density trajectories possibly occur, and to accept the -4/3 power rule as the substitute. The authors suggest a re-evaluating of the -3/2 as well as -4/3 power law of self-thinning, from the first principles to the representation.

Key words: -3/2 power law, -4/3 power law, plant population, self-thinning, self-thinning boundary line, energy equivalence, allometry, isometry

摘要: 由密度导致的植物种群的自然稀疏现象,是植物种群生态学研究的热点。但关于植物自然稀疏规律(种群密度和个体平均质量的幂律关系)的机理,却有两类截然不同的理论解释,分别对应着-3/2和-4/3幂律。作者重点介绍这两类自然稀疏幂律的代表性理论模型: Yoda的-3/2自疏法则和基于WBE模型的-4/3自疏规律,以及它们各自的理论基础。由于研究方法等原因,目前的数据尚不足以否定一条自疏上限线的存在,也不能令人信服地推翻-3/2而确立-4/3幂值的自疏规律。

关键词: -3/2幂律, -4/3幂律, 植物种群, 自然稀疏, 自疏边界线, 能量相当, 异速生长, 等速生长

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