宋卫国,范维澄,汪秉宏.整数型森林火灾模型及其自组织临界性[J].火灾科学,2001,10(1):53-56. |
整数型森林火灾模型及其自组织临界性 |
Study on Self-Organized Criticality of Forest Fires in China |
投稿时间:2000-10-06 |
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DOI:10.3969/j.issn.1004-5309.年.期.顺序 |
基金项目:国家自然科学基金资助项目(59876039,39970621) |
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中文关键词: 自组织临界性 元胞自动机 森林火灾模型 |
英文关键词:self-organized criticality cellular automata forest fire model. |
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中文摘要: |
森林火灾元胞自动机模型是研究自组织临界性的典型模型之一。森林火灾模型中森林用一个布尔型的网格来表示 ,其中的每一点可以取两个值 :0—代表空地 ,或者 1—代表树木。在这个意义上 ,经典森林火灾模型是布尔型模型。在布尔型模型中 ,没有考虑树木间的差别 ,每一个是树木的点都是相同的。为了考虑这些差别 ,本文研究了整数型森林火灾模型 ,森林用一个整数型的网格表示 :每个点的值或者取 0表示是空地 ;或者取一个正整数 ,表示该点所含树木的质量。本文通过理论推导证明了新模型具有自组织临界性 ,并比较了经典森林火灾模型和整数型森林火灾模型计算机模拟结果. |
英文摘要: |
Forest-fire model (FFM) introduced by Drossel et al\ is a typical model in the study of self-organized criticality (SOC). In the model, the forest is denoted by a boolean lattice, each site of which is either a tree (represented by a value 1 ) or is empty (represented by a value 0). In this traditional model, the differences between trees are ignored. In fact, trees in a forest are different in size and forest clusters are different in density. Considering these differences, a forest-fire model with integer site value is introduced in this paper. A tree is represented by an integer value that is proportional to the mass of the tree. SOC of the new model is analyzed theoretically and simulation results of the traditional model and the new model are compared. It is shown that SOC exponents of the two models are very similar. |
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