系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2013年
5期
1217~1224
,共null页
城市地价 空间系统 分形特征 提取模型
城市地價 空間繫統 分形特徵 提取模型
성시지개 공간계통 분형특정 제취모형
urban land price; space system; fractal characteristic; extraction model
针对城市地价空间系统的特点,运用Moran’sI指数,Oetis—OrdGeneralG指数和盒维数模拟原理构建地价空间系统分形特征的提取模型.采用北京市414个住宅用地出让数据作为样本进行实证分析.研究发现在3500m范围内,北京市居住地价空间系统存在较强正自相关的分形特征,随着空间尺度增大空间相关性逐步降低;北京市居住地价空间系统呈现低度集聚分布模式,即地价较高样点趋于和地价较高样点相邻,地价较低样点趋于地价较低样点相邻规律;北京市居住地价空间系统分形维数处于2—3之间且均为分数,维数越大地价空间系统越复杂.理论与实证研究表明城市地价空间系统的确存在分形特征,城市地价空间系统分形特征的判定为深入分析地价空间分布,以及进一步的地价空间分形插值提供了重要的理论依据.
針對城市地價空間繫統的特點,運用Moran’sI指數,Oetis—OrdGeneralG指數和盒維數模擬原理構建地價空間繫統分形特徵的提取模型.採用北京市414箇住宅用地齣讓數據作為樣本進行實證分析.研究髮現在3500m範圍內,北京市居住地價空間繫統存在較彊正自相關的分形特徵,隨著空間呎度增大空間相關性逐步降低;北京市居住地價空間繫統呈現低度集聚分佈模式,即地價較高樣點趨于和地價較高樣點相鄰,地價較低樣點趨于地價較低樣點相鄰規律;北京市居住地價空間繫統分形維數處于2—3之間且均為分數,維數越大地價空間繫統越複雜.理論與實證研究錶明城市地價空間繫統的確存在分形特徵,城市地價空間繫統分形特徵的判定為深入分析地價空間分佈,以及進一步的地價空間分形插值提供瞭重要的理論依據.
침대성시지개공간계통적특점,운용Moran’sI지수,Oetis—OrdGeneralG지수화합유수모의원리구건지개공간계통분형특정적제취모형.채용북경시414개주택용지출양수거작위양본진행실증분석.연구발현재3500m범위내,북경시거주지개공간계통존재교강정자상관적분형특정,수착공간척도증대공간상관성축보강저;북경시거주지개공간계통정현저도집취분포모식,즉지개교고양점추우화지개교고양점상린,지개교저양점추우지개교저양점상린규률;북경시거주지개공간계통분형유수처우2—3지간차균위분수,유수월대지개공간계통월복잡.이론여실증연구표명성시지개공간계통적학존재분형특정,성시지개공간계통분형특정적판정위심입분석지개공간분포,이급진일보적지개공간분형삽치제공료중요적이론의거.
Considering characteristics of urban land price space system, fractal feature extraction models of urban land price space system based on Moran's I index, Getis-Ord General G index and the box counting dimension principle were proposed. The experiment was carried out with residential land market data of Beijing. The results show that there are significant positive autocorrelations for residential land price space system within 3500m. Spatial autocorrelation degree of land price decreases with the increase of spatial scale. Residential land prices are clustered in space such that higher land price tends to be surrounded by higher land price neighbors and lower land price by lower land price neighbors. Further, fractal dimension of residential land price space system is between 2 and 3. The bigger fractal dimension, the more complicated land price space system. The empirical results suggest the space system. It helps us not only for knowing the land exploring fractal interpolation of land price space. existence of fractal features in urban land price price distribution in space better, but also for