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基于數(shù)理視角的空間界面存在性研究——以河南省城鄉(xiāng)界面為例

發(fā)布時(shí)間:2018-02-12 18:02

  本文關(guān)鍵詞: 數(shù)理視角 空間界面 城鄉(xiāng)界面 存在性 河南省 出處:《地域研究與開發(fā)》2017年05期  論文類型:期刊論文


【摘要】:空間界面理論已顯示出強(qiáng)大生命力,但其理論架構(gòu)還不完善,F(xiàn)有研究基本上是建立在"空間界面確實(shí)存在"這一經(jīng)驗(yàn)判斷的前提下進(jìn)行的,對于其存在性還缺乏理論驗(yàn)證。在提煉空間界面唯象理論的基礎(chǔ)上,構(gòu)建了空間界面的數(shù)理模型,并以城鄉(xiāng)界面為例,以空間為內(nèi)生變量,空間中的元素如經(jīng)濟(jì)、社會(huì)、文化等為外生變量,構(gòu)建聯(lián)立方程模型,以河南省108個(gè)縣域?yàn)榭臻g單元,采用三階段最小二乘法和迭代三階段最小二乘法進(jìn)行參數(shù)估計(jì),建構(gòu)了城市系統(tǒng)和鄉(xiāng)村系統(tǒng)的函數(shù),并進(jìn)行了數(shù)理推導(dǎo)與求解。研究表明,城市函數(shù)與鄉(xiāng)村函數(shù)存在著交集,且其交集為無窮多個(gè)點(diǎn)組成的域面,即存在一個(gè)城市與鄉(xiāng)村系統(tǒng)空間及其要素相互交織而成的獨(dú)立系統(tǒng),進(jìn)而從理論上證明"城鄉(xiāng)界面是存在的"。
[Abstract]:The theory of spatial interface has shown great vitality, but its theoretical framework is not perfect. On the basis of abstracting the phenomenological theory of spatial interface, the mathematical model of spatial interface is constructed. Taking the urban and rural interface as an example, the space is taken as an endogenous variable, and the elements in space such as economy and society are taken as examples. Taking 108 counties in Henan Province as spatial unit, the paper constructs a simultaneous equation model by using the three-stage least square method and iterative three-stage least square method to estimate the parameters, and constructs the functions of urban and rural systems. The results show that there exists an intersection between the urban function and the country function, and the intersection is a domain of infinitely many points. That is, there is an independent system which interweaves urban and rural system space and its elements, and proves theoretically that "urban-rural interface exists".
【作者單位】: 河南大學(xué)環(huán)境與規(guī)劃學(xué)院;河南大學(xué)黃河文明與可持續(xù)發(fā)展研究中心暨黃河文明傳承與現(xiàn)代文明建設(shè)河南省協(xié)同創(chuàng)新中心;河南大學(xué)區(qū)域發(fā)展與規(guī)劃研究中心;
【基金】:國家自然科學(xué)基金項(xiàng)目(41171150,41671172,41701130) 教育部人文社會(huì)科學(xué)重點(diǎn)研究基地重大項(xiàng)目(14JJD790011) 河南省高校哲學(xué)社會(huì)科學(xué)創(chuàng)新團(tuán)隊(duì)支持計(jì)劃(2014-CXTD-03)
【分類號(hào)】:K926.1
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本文編號(hào):1506225

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