The law of allometric growth and theoretical foundation of several suburbanization models 异速生长定律与城市郊区化的分维刻画
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Urban system ; urbanization ; allometric growth ; fractal dimension ; henan cities of china 城市体系城镇化异速生长分维河南城市
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The spatial complexity of the law of allometric growth and urban population density 城市密度分布与异速生长定律的空间复杂性探讨
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Researches in models of allometric analysis of urban systems and forecast of urbanization level based on rs data of urban area 基于rs数据的城市系统异速生长分析和城镇化水平预测模型：基本理论与应用方法
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Application of broken - line analysis to assess floor space requirements of nursery and grower - finisher pigs expressed on an allometric basis 应用残破线分析的方法根据体形变异对养殖场和生长肥育猪的地板面积的要求进行评估。
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All the contents are developed around a set of scaling laws taking the form of exponentials which relate to almost all the issues of complexity including fractals , chaos , strange attractors , localization , and symmetry breaking , etc . the main work can be summarized as follows : starting from the law of allmetric growth three fractal dimensions in a broad sense are derived , and according to these dimensions , geographical space is divided into three levels , i . e . , real space , phase space , and order space , each of which corresponds to a kind of dimension . based on the idea of spatial disaggregation and using the rmi ( relationship - mapping - reversion ) principle , the urban system is formulated as three scaling laws of the three spaces , including number law , size law , and area law , which can be transformed into a set of power laws such as allometric law and zipf ’ s law associated with fractal structure 从异速生长律的纵向、横向和切向三个角度将地理空间划分为实空间、相空间和序空间,分别对应于空间系列、时间序列和等级序列三个层面,每个层面的测度各有自己的空间维度。基于“空间循环细分-等级体系-网络结构”的数理等价关系,利用rmi (关系-映射-反演)原则,成功地实现了城市系统宏观模型的理论抽象,将空间复杂性问题表征为简单的指数式标度定律(包括数量律、规模律和尺度律) ,这一组标度律可以与一组幂次定律(包括具有分形性质的规模-数目律、异速生长定律和三参数zipf定律)互为变换。
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Can be calculated . going a step further , it is possible to analyse cities and systems of cities and predict the course of regional urbanization by means of integrating the allometric growth models and the rs data into geographical information systems . allometric analyses of the urban system of henan , china , are made as examples to show how to use the models advanced in the paper 将城市人口-城区面积异速生长模型由城市动态相似分析和城市体系的几何测度分析推广到城市体系总量的动态相似分析，并据此建立了城镇化水平预测模型，然后以河南省的城市为例说明了有关模型的应用方法，为实现基于rs数据的城市系统地理信息分析和区域城镇化进程的空间监测拓展了思路。
