Multifractal characterization of urban residential land price in space and time

Multifractal characterization of urban residential land price in space and time
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城市住宅地价时空多重分形表征

DOI:
10.1016/j.apgeog.2011.10.016
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发表时间:
2012-05-01
期刊:
影响因子:
4.9
通讯作者:
Xie, Shuyun
Xie, Shuyun
中科院分区:
地球科学2区
文献类型:
--
作者:
Hu, Shougeng;Cheng, Qiuming;Xie, Shuyun

文献摘要

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土地价格的时空分布在城市发展和再开发过程中起着关键作用。土地价格分布特征的识别是完善城市规划和土地利用变化模型的基础。本研究的目的是确定是否可以用多重分形模型来表征LPD,并开发多重分形方法来表征LPD在不同尺度上的性质。对中国中部武汉市的一个研究地点进行了分析。土地价格在2001年、2004年和2007年进行了抽样。用矩量法估计的多重分形谱表示LPD模式,并用5个定量多重分形参数表征LPD模式。结果表明:不同地区、不同时间的LPD数据计算的维数谱确实描绘了多重分形,多重分形谱的曲线是连续的,在不同地区同时表现出不对称和凸曲线的相同特征,其中共同的过渡趋势是2001年向左变短但向右变长,2004年相对对称但向右略有偏差;2007年,土地价格向右变短,而向左变长,这表明LPD呈现连续的多重分形,这一趋势表明不同地区土地价格的奇异性与城市发展同步。此外,在城市不同发展阶段,曲线的水平特征也有所不同。这些结果也表明,我们可以利用多重分形方法来表征不同LPD模式的时空差异,从而可以作为理解地价如何影响城市土地利用变化的定量指标。(C) 2011 Elsevier Ltd.版权所有。
The spatial and temporal distribution of land price plays a key role in urban development and redevelopment processes. Identifying the features of land price distribution (LPD) is essential for improving urban planning and modeling land use changes. The purposes of this study were to determine if LPD can be characterized by multifractal models and to develop multifractal methods for characterizing the properties of LPD at various scales. An analysis was performed for a study site in Wuhan City, central China. Land prices were sampled in the years 2001, 2004, and 2007. The LPD patterns were represented by multifractal spectra estimated using the method of moments and characterized by five quantitative multifractal parameters. The results showed that the dimension spectra calculated from the LPD data in various regions and at different times indeed depict multifractality, the curves of the multifractal spectra are continuous, displaying the same characteristics of asymmetric and convex curves at the same times in different regions, where the common transitional trend was from shorter toward the left but much longer toward the right in 2001, comparatively symmetric with a slight right deviation in 2004, shorter toward the right but much longer toward the left in 2007, which implying continuous multifractality observed for LPD, and this trend indicates that the singularity of land prices in the different areas keeps step with urban development. In addition, the horizontal characteristics of the curves also differed in different development stages in the city. These results also demonstrated that we may characterize the spatial and temporal differences of different LPD patterns using multifractal methods, which may thus be utilized as a quantitative measure in understanding how land price affects changes in urban land use. (C) 2011 Elsevier Ltd. All rights reserved.