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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。
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