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基于矩阵特征分解的中原经济区高铁发展分析

Development Analysis of High-speed Rail in the Central Plains EconomicRegion Based on Matrix Eigendecomposition Method
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摘要 针对基于位置的空间可达性研究中位置空间成本矩阵存在缺值导致可达性指标无法计算的问题,提出以矩阵特征分解作为替代方法。基于12306网站和网络地图在线服务取得旅行时间成本矩阵并转换为空间权重矩阵,以矩阵特征分解得到的优势度指数作为基本评价指标对中原经济区2017—2021年间的高铁发展进行分析和评价。结果表明矩阵特征分解法是评价部分矩阵元素缺值时空间可达性评价的一种有效替代方法, 2021年中原经济区高铁发展空间集聚水平比2017年略下降,南北向和东西向“十”字交叉格局有弱化趋势,同时高铁发展没有显著的空间不均衡现象,但某些高铁发展水平较低,且在研究时段内受益较少的地级市单元在今后的高铁规划中应给予重点关注。 In the study of employing location-based spatial accessibility(LBSA)methods,accessibility indices cannot be calculated for those locations where some missing values exist in the cost matrix.Aiming at the mentioned above problem,we used the matrix eigendecomposition(ME)to replace LBSA in the current study.Taking the central plains economic region(CPER)in China as the study area,we obtained the travel time cost matrices derived from the 12306 website and the online map-based services,transformed it into spatial weights matrices(SWM),and analyzed and evaluated the development of high-speed rail from 2017 to 2021.The results show that being a valid alternative to the LBSA with some missing value in the evaluated locations(units),the ME method demonstrates a good effect when applied in the CPER in China.Compared with 2017,the spatial agglomeration level of high-speed rail decreases slightly and the spatial pattern with the“cross”shape of north-south direction and west-east direction has a weakening tendency in 2021.Significant spatial inequity does not exist in the CPER.Some prefecture-level cities with a low level of high-speed rail development and less benefit during the study period should be paid attention to in the future high-speed rail planning.
作者 张海军 李丹 代莎 蒋国富 ZHANG Haijun;LI Dan;DAI Sha;JIANG Guofu(School of Geography and Tourism,Nanyang Normal University,Nanyang 473061,China;School of Culture Tourism and Geography,Guangdong University of Finance&Economics,Guangzhou 510320,China;Department of College English Teaching&Studies,Nanyang Normal University,Nanyang 473061,China)
出处 《地理空间信息》 2024年第8期7-11,67,共6页 Geospatial Information
基金 河南省科技厅软科学研究项目(172400410339) 广东省社科规划一般项目(GD20CGL39)。
关键词 矩阵特征分解 空间权重矩阵 空间可达性 空间公平 中原经济区 ME SWM spatial accessibility spatial equity CPER
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