| 区域经济系统的分形特征及规模分布 |
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| 作者姓名： | 于晓秋 葛家麒 徐中儒 |
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| 作者单位： | 黑龙江八一农垦大学文理学院 黑龙江大庆163319(于晓秋)，东北农业大学理学院 黑龙江哈尔滨150030(葛家麒，徐中儒) |
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| 基金项目： | 湖北省科技厅科研项目;黑龙江省教育厅科学技术研究项目 |
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| 摘 要： | 将分形方法引入区域经济系统中,从Zipf定则的理论出发,推导出Zipf公式是Hausdorff(豪斯道夫)维数的特例。以黑龙江省粮食生产经济系统为例,定量地分析了近四年黑龙江省粮食生产经济系统中各要素的规模分布现状和发展趋势:由分维整体结果看,规模分布是分散的;由分维值的变化趋势来看,差异在减小,规模分布趋于集中。表明Hausdorff(豪斯道夫)维数能更深刻地反映粮食生产经济要素规模分布的复杂变化,并为了解和指导区域经济发展提供了新的方法和依据。
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| 关 键 词： | 分形 Zipf定则 分维 规模分布 |
Fractal Characteristics and Scale Distribution of Regional Economy Systems |
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| Authors: | Yu Xiaoqiu Ge Jiaqi Xu Zhongru |
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| Abstract: | Fractal method was introduced to study the regional economy systems. Based on Zipf theory, in was inferred that Zipf formula is a special case of Hausdorff fractal dimension. According to fractal dimension of key element of Heilongjiang grain production system, current situation and trend of the scale distribution of key element of Heilongjiang grain production system in the past four years were analyzed quantitatively in the paper. The overall results of fractal dimension showed that the scale distribution was scattered. The trend of fractal dimension showed that the fractal dimension was reduced and scale distribution was concentrated. It is proved that Hausdorff fractal dimension deeply reflected complicated changes in the economic system. In a word, it offered the theoretical foundation and new methods in guiding regional economic development. |
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| Keywords: | Fractal Zipf rule Fractal dimension Scale distribution |
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