CN113342873B - A Population Analysis Unit Division Method Based on Urban Morphology and Convergence Mode - Google Patents

A Population Analysis Unit Division Method Based on Urban Morphology and Convergence Mode Download PDF

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CN113342873B
CN113342873B CN202110586173.6A CN202110586173A CN113342873B CN 113342873 B CN113342873 B CN 113342873B CN 202110586173 A CN202110586173 A CN 202110586173A CN 113342873 B CN113342873 B CN 113342873B
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吴华意
胡秋实
李锐
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Abstract

本发明公开了一种基于城市形态与汇聚模式的人口分析单元划分方法,包括以下步骤:S1、顾及城市的空间结构和人口分析细粒度需求,面向微观尺度人口活动区域功能异质性贴合城市自然形态,划分基础分析单元;S2、考虑城市人口流动在局部汇聚的空间分布特征以及依赖出入口动态变化的长期稳定特征,构建人口汇聚偏好模型;S3、利用基础分析单元内的微观结构要素,划分适合表达和分析人口分布与变化特征的FPAZ(Fine Population Analysis Zone人口分析区)。本发明通过考虑城市形态特征和人口汇聚模式,基于城市形态要素和人口汇聚偏好模型,划分了适宜表达人口分布与变化特征的FPAZ,有助于人口分布与变化时空模式的分析挖掘,从而进一步支撑城市人口的精细化管理。

Figure 202110586173

The invention discloses a population analysis unit division method based on urban form and aggregation mode, comprising the following steps: S1. Taking into account the spatial structure of the city and the fine-grained needs of population analysis, and orienting to the functional heterogeneity of the micro-scale population activity area to fit the city Natural form, divide the basic analysis unit; S2. Consider the spatial distribution characteristics of urban population flow in local convergence and the long-term stability characteristics that depend on the dynamic change of entrances and exits, and construct a population convergence preference model; S3. Use the microstructural elements in the basic analysis unit to divide FPAZ (Fine Population Analysis Zone), which is suitable for expressing and analyzing population distribution and variation characteristics. The present invention divides the FPAZ suitable for expressing the characteristics of population distribution and change based on the urban morphological elements and the population convergence preference model by considering the urban morphological characteristics and the population convergence mode, which is helpful for the analysis and mining of the population distribution and the spatial-temporal mode of the variation, thereby further supporting Delicate management of urban population.

Figure 202110586173

Description

一种基于城市形态与汇聚模式的人口分析单元划分方法A population analysis unit division method based on urban morphology and aggregation mode

技术领域technical field

本申请属于城市地理智能计算领域,设计了一种基于城市形态与人口汇聚模式的精细化人口分析单元划分方法。The present application belongs to the field of urban geographic intelligent computing, and designs a refined population analysis unit division method based on urban morphology and population aggregation mode.

背景技术Background technique

人口分析单元是城市人口分析时空操作、规律挖掘和分析结果可视化的基本空间单元。静态人口分布或动态人口变化信息通过人口分析单元进行展示,并基于人口分析单元开展时空分析,人口分析单元的形状、面积大小和空间连续性等属性直接决定了人口信息表达的精细度和人口分析结果准确度。因此,适宜的人口分析单元划分方法对于有效表达城市人口活动信息,分析人口变化时空模式,进而支撑城市人口相关的应用是至关重要的。The population analysis unit is the basic spatial unit for the spatio-temporal operation, rule mining and analysis results visualization of urban population analysis. Static population distribution or dynamic population change information is displayed through the population analysis unit, and spatiotemporal analysis is carried out based on the population analysis unit. The shape, size, and spatial continuity of the population analysis unit directly determine the fineness of population information expression and population analysis. result accuracy. Therefore, an appropriate population analysis unit division method is crucial for effectively expressing urban population activity information, analyzing the spatiotemporal patterns of population changes, and supporting urban population-related applications.

在长期的城市人口研究中,已经使用或划分了多种人口分析单元。基于人口分布与变化信息的表达,为了满足人口分析单元划分的条件和应用需求,主要的划分方法分为3个方向。In long-term urban population studies, a variety of population analysis units have been used or divided. Based on the expression of population distribution and change information, in order to meet the conditions and application requirements of population analysis unit division, the main division methods are divided into three directions.

基于空间尺度需求的人口分析单元划分。城市常见的宏观和中观人口分析单元为传统的行政区划单元包括市辖区、街道,这类空间单元能够直接匹配人口普查数据和其它类型政府统计数据,不仅是人口分布数据的标准验证单元,也为政府管理和政策规划提供了直观的科学依据数据反馈。针对微观尺度,建筑物是城市中天然的微观要素,部分研究者使用建筑物矢量面要素直接作为人口分析单元,可以表达空间细粒度的人口分布信息或开展精细化的人口分布模式分析。基于应用场景需求的人口分析单元划分方法。考虑人口的动态变化和流动,典型的应用场景为城市交通,相关研究者利用城市道路网中的主干道路划分了交通分析区 (TAZ),在符合中观城市形态的基础上用以分析城市人口的交通出行特征。在此基础上,进一步结合交通站点和交通工具的相关数据用以分析城市人口与交通设施的交互模式或交通工具的运行模式。该类单元基于交通场景的需求,针对性的表达了人口分布和变化的特征,为城市交通的规划或优化提供了有效的人口信息。基于研究数据的人口分析单元划分方法。地理格网是目前为匹配数据质量而划分的最流行和便捷的人口分析单元。通过人工建立不同尺寸大小的规则多边形实现不同空间分辨率下人口信息的表达。可以直接与城市人口研究中流行的土地利用数据、夜间灯光数据等栅格数据相匹配。随着新型传感器的发展部分研究以个体时空标记数据和相关的城市服务设施数据为核心结合数学理论划分泰森多边形作为人口分析单元,例如智能卡刷卡数据与手机信令数据,这类单元实现了对人口时空标记数据的科学统计和空间表达。Population analysis unit division based on spatial scale requirements. The common macro- and meso-population analysis units in cities are traditional administrative division units, including municipal districts and streets. These spatial units can directly match census data and other types of government statistical data. They are not only standard verification units for population distribution data, but also It provides intuitive scientific basis data feedback for government management and policy planning. For the microscopic scale, buildings are natural microscopic elements in cities. Some researchers use building vector surface elements directly as population analysis units, which can express spatially fine-grained population distribution information or carry out refined population distribution pattern analysis. A population analysis unit division method based on application scenario requirements. Considering the dynamic change and flow of the population, the typical application scenario is urban traffic. Related researchers divide the traffic analysis zone (TAZ) by using the main road in the urban road network, and use it to analyze the city on the basis of conforming to the meso-scale urban form. Traffic characteristics of the population. On this basis, the related data of traffic stations and vehicles are further combined to analyze the interaction mode between urban population and traffic facilities or the operation mode of vehicles. Based on the needs of traffic scenarios, this type of unit expresses the characteristics of population distribution and changes, and provides effective population information for urban traffic planning or optimization. A population analysis unit division method based on research data. Geographic grids are currently the most popular and convenient unit of population analysis divided for matching data quality. The expression of population information at different spatial resolutions is realized by manually establishing regular polygons of different sizes. It can be directly matched with raster data such as land use data and nighttime light data that are popular in urban population research. With the development of new sensors, part of the research centers on individual spatiotemporal marker data and related urban service facility data combined with mathematical theory to divide Thiessen polygons as population analysis units, such as smart card swiping data and mobile phone signaling data. Scientific statistics and spatial representation of population spatiotemporally labeled data.

总体而言,目前人口分析单元划分方法主要由研究数据和应用需求驱动,缺乏从人口分布和变化特征表达和分析准确性的角度考虑人单元的划分方法。尤其在微观尺度下,这3类人口分析单元划分的结果易存在与城市形态相异、空间单元连续性低、空间分辨率不足等不同的问题,进而导致人口信息表达不准确、场景泛用性差,无法长效支撑精细、准确的城市人口分析和分析结果应用。In general, the current population analysis unit division methods are mainly driven by research data and application requirements, and there is a lack of human unit division methods that consider the expression and analysis accuracy of population distribution and change characteristics. Especially at the micro-scale, the results of the three types of population analysis units are prone to different problems such as differences in urban form, low continuity of spatial units, and insufficient spatial resolution, resulting in inaccurate expression of population information and poor scene versatility. , it cannot support precise and accurate urban population analysis and application of analysis results for a long time.

因此,本发明根据城市人口流动汇聚的特征结合城市形态要素,构建微观尺度下适合表征与分析人口分布与变化特征的FPAZ(Fine Population Analysis Zone,精细人口分析区)。Therefore, the present invention constructs an FPAZ (Fine Population Analysis Zone, Fine Population Analysis Zone) suitable for characterizing and analyzing population distribution and variation characteristics at a micro scale according to the characteristics of urban population flow and convergence combined with urban morphological elements.

发明内容SUMMARY OF THE INVENTION

本发明针对当前缺乏适宜表达人口分布与变化特征的微观人口分析单元这一问题,提供一种基于城市形态与人口汇聚模式的精细化人口分析单元划分方法。根据城市人口流动汇聚的特征结合城市形态要素,构建微观尺度下适合表征与分析人口分布与变化特征的FPAZ。Aiming at the problem of lack of micro-population analysis units suitable for expressing population distribution and change characteristics, the present invention provides a refined population analysis unit division method based on urban morphology and population aggregation mode. According to the characteristics of urban population flow and convergence combined with urban morphological elements, an FPAZ suitable for characterizing and analyzing population distribution and change characteristics at the micro-scale is constructed.

本发明提供一种基于城市形态与人口汇聚模式的精细化人口分析单元划分方法,包括以下步骤:The present invention provides a refined population analysis unit division method based on urban morphology and population aggregation mode, comprising the following steps:

S1、顾及城市的空间结构和人口分析细粒度需求,提取城市主干道路、水系这些分割和组成城市空间区域的要素,面向微观尺度人口活动区域功能异质性贴合城市自然形态,基于几何属性和空间拓扑特征提取道路与水系多边形,将剩余的形态要素通过多边形化拓扑处理划分基础分析单元;S1. Taking into account the fine-grained needs of urban spatial structure and population analysis, extracting urban arterial roads, water systems, and other elements that divide and compose urban spatial areas, face the functional heterogeneity of micro-scale population activity areas and fit the urban natural form, based on geometric attributes Extract road and water system polygons with spatial topological features, and divide the remaining morphological elements into basic analysis units through polygonal topology processing;

S2、考虑城市人口流动在局部汇聚的空间分布特征以及依赖出入口动态变化的长期稳定特征,构建以局部出入口要素为空间划分核心的人口汇聚偏好模型,利用语义字典匹配和人口流动模拟方法提取对人口汇聚具有关键作用的主出入口要素;S2. Considering the spatial distribution characteristics of urban population flow in local convergence and the long-term stability characteristics that depend on the dynamic changes of entrances and exits, construct a population convergence preference model with local entrance and exit elements as the core of spatial division, and use semantic dictionary matching and population flow simulation methods to extract population Aggregate key entry and exit elements;

S3、利用基础分析单元内的微观结构要素,综合人口汇聚偏好模型提取的主出入口要素利用空间聚类方法划分适合表达和分析人口分布与变化特征的FPAZ,即精细人口分析区。S3. Using the microstructural elements in the basic analysis unit, the main entrance and exit elements extracted by the comprehensive population aggregation preference model use the spatial clustering method to divide the FPAZ suitable for expressing and analyzing the characteristics of population distribution and change, that is, the fine population analysis area.

进一步的,步骤S1中提取道路多边形的具体实现方式如下;Further, the specific implementation manner of extracting road polygons in step S1 is as follows;

S11、单级道路多边形提取S11. Single-level road polygon extraction

在划分区域R内,选择等级最高的主干道路集合Li,i={1,2,3…r},r越大,等级越低;合并区域边界B,通过线要素转换为面要素的空间拓扑处理构建空间单元集合Ui={uti1,uti2, uti3……utin},然后获取Ui中所有单元的面积uta,构建面积值分布直方图,根据直方图组数的突变点确定最小面积阈值minArea,对于任意utip(p=[1,2…n])如果面积utaip小于minArea 且单元内不包含除道路设施类型以外的其它要素,则该单元标记为道路多边形;反之,如果 utaip大于阈值minArea,但仅包含道路设施相关的空间要素,则该单元也被标记为道路多边形;In the divided area R, select the main road set Li with the highest grade, i ={1, 2, 3...r}, the larger the r, the lower the grade; Spatial topology processing constructs a set of spatial units U i = {ut i1 , ut i2 , ut i3 ...... ut in }, then obtains the area uta of all units in U i , and constructs a histogram of area value distribution, according to the mutation of the number of histogram groups Point to determine the minimum area threshold minArea, for any ut ip (p=[1,2...n]) If the area uta ip is less than minArea and the cell does not contain other features other than road facility types, the cell is marked as a road polygon; Conversely, if the uta ip is greater than the threshold minArea, but only contains spatial features related to road facilities, the unit is also marked as a road polygon;

S12、多级道路多边形提取S12, multi-level road polygon extraction

在Ui的基础上过滤道路多边形,并选择次等级的主干道Li+1,通过空间拓扑操作合并为空间单元集合Ui+1={ut(i+1)1,ut(i+1)2,ut(i+1)1……ut(i+1)m};然后在Ui+1的基础上重复步骤S11,直到合并所有等级的主干道,完成道路多边形的提取。Filter the road polygons on the basis of U i , and select the main road L i+1 of the secondary level, and merge them into a spatial unit set U i+1 ={ut (i+1)1 , ut (i +1 ) through the spatial topology operation )2 , ut (i+1)1 ...... ut (i+1)m }; and then repeat step S11 on the basis of U i+1 , until the main roads of all levels are merged, and the road polygon extraction is completed.

进一步的,步骤S2中利用语义字典匹配和人口流动模拟方法提取对人口汇聚具有关键作用的主出入口要素的具体实现方式如下;Further, in step S2, using semantic dictionary matching and population flow simulation methods to extract the main entrance and exit elements that play a key role in population aggregation is as follows;

S21、人口流动路径网络构建S21. Construction of population flow path network

首先,考虑人口流动汇聚的地理特征,在划分区域R内部或外部选择一个地理方位假设一个虚拟的人口流动出发点Opj,j是根据地理方位选取的出发点;并以区域内所有的出入口要素集合作为目标地点,以城市主干道路网络作为人口流动的主要网络;同时仅考虑地理距离因素对人口移动的影响,利用Dijkstra最短路径算法构建人口流动路径网络集合 EPj={epj1,epj2…epjk};First, considering the geographic characteristics of population flow convergence, select a geographic location inside or outside the divided area R, assuming a virtual population flow starting point Op j , j is the starting point selected according to the geographic location; At the target location, the main urban road network is used as the main network for population flow; at the same time, only the influence of geographical distance factors on population movement is considered, and the Dijkstra shortest path algorithm is used to construct a population flow path network set EP j = {ep j1 ,ep j2 …ep jk };

S22、出入口流动路径相似度计算S22. Calculation of similarity of inlet and outlet flow paths

提取主要道路网络的道路交叉点,将人口流动路径网络表达为路径交叉点要素的ID序列,然后利用difflib算法计算同一个基础分析单元内各个出入口模拟的路径相似度rs,并结合相似度阈值tv开展主出入口标记,根据城市人口对于基础设施点要素的步行敏感距离数值,并结合人口流动路径网络点序列的平均长度设置tv;Extract the road intersections of the main road network, express the population flow path network as the ID sequence of the path intersection elements, and then use the difflib algorithm to calculate the path similarity rs simulated by each entrance and exit in the same basic analysis unit, and combine the similarity threshold tv Carry out main entrance and exit marking, and set tv according to the walking sensitive distance value of urban population to infrastructure point elements, combined with the average length of the network point sequence of the population flow path;

S23、基于路径相似度的主出入口标记S23. Main entrance and exit marking based on path similarity

对于任意基础分析单元内的任意两个出入口计算对应的流动路径epjv和epjw的相似度rs, v=[1,2…k],w=[1,2…k],v≠w,如果rs小于阈值tv则将两个出入口要素分别标记为主出入口;如果rs大于阈值tv则先将两个出入口要素标记为同一个簇;依次对每个出入口要素执行上述操作获得簇集合CTR={ct1,ct2,ct3……ctx},然后对于任意簇ctg中的出入口要素,g=[1,2…x],考虑空间簇的中心具有代表性的特征,计算簇ctg中每个出入口要素对应路径的地理距离dis 获得距离集合DS={disg1,disg2,disg3……disgy},通过对DS的进行排序获得序列SQ={sg1, sg2,sg3……sgy},选择序列SQ的中值对应的出入口要素标记为主出入口。Calculate the similarity rs of the corresponding flow paths ep jv and ep jw for any two entrances and exits in any basic analysis unit, v=[1,2...k], w=[1,2...k], v≠w, If rs is less than the threshold tv, the two entry and exit elements are marked as the main entry and exit; if rs is greater than the threshold tv, the two entry and exit elements are first marked as the same cluster; perform the above operations on each entry and exit element in turn to obtain a cluster set CTR={ ct 1 , ct 2 , ct 3 ...... ct x }, then for the entrance and exit elements in any cluster ct g , g = [1, 2... The geographical distance dis of the corresponding path of each entry and exit element in the distance set DS={dis g1 , dis g2 , dis g3 ……dis gy }, and the sequence SQ={s g1 , s g2 , s g3 is obtained by sorting the DS ...s gy }, select the entry and exit elements corresponding to the median value of the sequence SQ to be marked as the main entry and exit.

进一步的,步骤S22中所述difflib算法是基于LCS问题,如公式(1)所示,结合动态规划思想,如公式(2)所,以及完型匹配算法改进的序列差异度计算方法;公式(1)中,Xm是长度为m的序列X,Yn是长度为n的序列Y,LCS(Xm,Yn)为序列X和Y的最长公共子序列,公式(2)中,c[b][d]用于记录序列X和序列Y的最长公共子序列的长度,b和d分别为序列X 和序列Y的长度;Further, the difflib algorithm described in step S22 is based on the LCS problem, as shown in formula (1), combined with the idea of dynamic programming, as shown in formula (2), and the improved sequence difference calculation method of the gestalt matching algorithm; formula ( 1), X m is the sequence X of length m, Y n is the sequence Y of length n, LCS(X m , Y n ) is the longest common subsequence of the sequences X and Y, in formula (2), c[b][d] is used to record the length of the longest common subsequence of sequence X and sequence Y, and b and d are the lengths of sequence X and sequence Y respectively;

Figure GDA0003639839730000041
Figure GDA0003639839730000041

Figure GDA0003639839730000042
Figure GDA0003639839730000042

进一步的,步骤S3中FPAZ的划分步骤如下:Further, the steps of dividing the FPAZ in step S3 are as follows:

1)微观结构要素提取1) Extraction of microstructural elements

提取基础分析单元内的微观结构要素,包括内部道路、人工湖,并与基础分析单元边界结合线要素转换为面要素的空间拓扑处理得到单元集合M;Extract the microstructural elements in the basic analysis unit, including internal roads and artificial lakes, and combine the line elements with the boundary of the basic analysis unit to convert the line elements into surface elements to obtain a unit set M;

2)基于主出入口要素的单元分类2) Unit classification based on main entrance and exit elements

根据基础分析单元内主出入口要素集合E={e1,e2,e3……eh}对M的各个单元设置出入口分类为EntryC,如果某单元内包含唯一主出入口要素时标记单元类别EntryC为该要素的ID属性;反之,若某单元内包含超过一个或不包含主出入口要素时,计算该单元质心到各个主出入口要素的欧式距离,获取其中的最短距离minEntry的出入口要素ID属性标记单元类别 EntryC;According to the set of main entrance and exit elements in the basic analysis unit E={e 1 , e 2 , e 3 ...... e h }, the entrance and exit classification of each unit of M is set as EntryC, and if a unit contains a unique main entrance and exit element, the unit type EntryC is marked is the ID attribute of the element; on the contrary, if a unit contains more than one or no main entrance and exit elements, calculate the Euclidean distance from the centroid of the unit to each main entrance and exit element, and obtain the shortest distance minEntry of the entry and exit element ID attribute to mark the unit class EntryC;

3)FPAZ划分3) FPAZ division

基于主出入口的分类结果,对M中类别EntryC相同的单元进行空间融合,并将所有融合后的单元进行合并即获得该基础分析单元内的FPAZ。Based on the classification results of the main entrance and exit, spatially fuse the units with the same category EntryC in M, and merge all the fused units to obtain the FPAZ in the basic analysis unit.

进一步的,tv的取值为0.95。Further, the value of tv is 0.95.

本发明产生的有益效果是:利用城市形态要素结合人口汇聚模式划分了一种微观尺度下适合表达人口分布与变化特征的FPAZ。以界定空间尺度和人口分析单元的基本划分范围为切入点,利用大、中观尺度的城市形态要素划分基础分析单元,进一步以人口汇聚偏好模型获得对人口聚集变化具有主要影响的出入口要素,并综合微观结构要素对基础分析单元作进一步划分得到FPAZ。该方法不仅考虑了城市形态特征对人口分布和变化的影响,同时考虑了城市人口流动汇聚本身的分布变化特征和长期稳定特征,使得FPAZ更适合用于分析人口分布与变化的时空模式。The beneficial effects produced by the invention are as follows: an FPAZ suitable for expressing the characteristics of population distribution and change at a microscopic scale is divided by using urban morphological elements and a population aggregation mode. Taking defining the spatial scale and the basic division range of the population analysis unit as the starting point, the basic analysis unit is divided by the urban morphological elements of the large and medium scales, and the entrance and exit elements that have a major impact on the population aggregation change are obtained by the population aggregation preference model. The basic analysis unit is further divided into FPAZ by synthesizing the microstructural elements. This method not only considers the impact of urban morphological characteristics on population distribution and change, but also considers the distribution change characteristics and long-term stability characteristics of urban population flow aggregation itself, which makes FPAZ more suitable for analyzing the spatiotemporal patterns of population distribution and changes.

附图说明Description of drawings

图1是本发明实施例的技术流程图。FIG. 1 is a technical flow chart of an embodiment of the present invention.

具体实施方式Detailed ways

下面结合附图和实施例对本发明的技术方案作进一步说明。The technical solutions of the present invention will be further described below with reference to the accompanying drawings and embodiments.

下面结合附图并举实施例,对本发明的技术方案和详细建模流程进行说明。显然,所描述的实施例仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solution and detailed modeling process of the present invention are described below with reference to the accompanying drawings and embodiments. Obviously, the described embodiments are only some, but not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

如图1所示,本发明实施例的基于城市形态与人口汇聚模式的精细化人口分析单元划分方法,包括以下步骤:As shown in FIG. 1 , the fine-grained population analysis unit division method based on urban morphology and population aggregation mode according to an embodiment of the present invention includes the following steps:

S1、顾及城市的空间结构和人口分析细粒度需求,提取城市主干道路、水系等分割和组成城市空间区域的要素,面向微观尺度人口活动区域功能异质性贴合城市自然形态,基于几何属性和空间拓扑特征提取道路与水系多边形,将剩余的形态要素通过多边形化拓扑处理划分基础分析单元。S1. Taking into account the fine-grained needs of urban spatial structure and population analysis, extract the elements that divide and form urban spatial areas such as urban trunk roads and water systems, and face the functional heterogeneity of micro-scale population activity areas to fit the urban natural form, based on geometric attributes Extract road and water system polygons with spatial topological features, and divide the remaining morphological elements into basic analysis units through polygonal topology processing.

S2、考虑城市人口流动在局部汇聚的空间分布特征以及依赖出入口动态变化的长期稳定特征,构建以局部出入口要素为空间划分核心的人口汇聚偏好模型,利用语义字典匹配和人口流动模拟方法提取对人口汇聚具有关键作用的主出入口要素。S2. Considering the spatial distribution characteristics of urban population flow in local convergence and the long-term stability characteristics that depend on the dynamic changes of entrances and exits, construct a population convergence preference model with local entrance and exit elements as the core of spatial division, and use semantic dictionary matching and population flow simulation methods to extract population Aggregate key entry and exit elements.

S3、利用基础分析单元内的微观结构要素,综合人口汇聚偏好模型提取的主出入口要素利用空间聚类方法划分适合表达和分析人口分布与变化特征的FPAZ。S3. Using the microstructural elements in the basic analysis unit, the main entrance and exit elements extracted by the comprehensive population aggregation preference model are divided into FPAZs suitable for expressing and analyzing the characteristics of population distribution and change by using the spatial clustering method.

本发明的基本思想为:基于对城市人口分布和变化过程的理解,城市中人口流动和汇聚的模式与自然界中的水流到湖泊的形成过程特征是相似的。人口通过多等级的交通网络,由不同活动行为驱动进行移动,最终通过固定出入口在局部的空间区域聚集,这些聚集区域通过道路、水网等城市形态要素的限制形成不规则的空间单元。因此本发明以界定空间尺度和人口分析单元的基本划分范围为切入点,利用大、中观尺度的城市形态要素划分基础分析单元,进一步以人口汇聚偏好模型获得对人口聚集变化具有主要影响的出入口要素,并综合微观结构要素对基础分析单元作进一步划分得到FPAZ。The basic idea of the present invention is: based on the understanding of urban population distribution and change process, the pattern of population flow and convergence in the city is similar to the characteristics of the formation process of water flow to lakes in nature. The population moves through the multi-level transportation network, driven by different activity behaviors, and finally gathers in local spatial areas through fixed entrances and exits. These gathering areas form irregular spatial units through the restrictions of urban morphological elements such as roads and water networks. Therefore, the present invention takes defining the spatial scale and the basic division range of the population analysis unit as the starting point, uses the urban form elements of large and medium scales to divide the basic analysis unit, and further uses the population aggregation preference model to obtain entrances and exits that have a major impact on population aggregation changes. FPAZ is obtained by further dividing the basic analysis unit by synthesizing the microstructure elements.

同其它人口分析单元的划分方法相比,本发明的关键创造点是考虑人口分布与变化的特征同时顾及城市形态和细粒度空间需求,提供了一种微观尺度适合分析人口分布与变化模式的人口分析单元划分方法。Compared with other methods of dividing population analysis units, the key creation point of the present invention is to consider the characteristics of population distribution and change, and also take into account the urban form and fine-grained space requirements, and provide a micro-scale population suitable for analyzing population distribution and change patterns. Analysis unit division method.

在本发明的另一个具体实施例中:In another specific embodiment of the present invention:

本发明提出的一种基于城市形态与人口汇聚模式的精细化人口分析单元划分方法,将此方法应用于某城市,具体步骤如下:A refined population analysis unit division method based on urban morphology and population aggregation mode proposed by the present invention applies this method to a certain city, and the specific steps are as follows:

步骤1,顾及城市形态的基础分析单元划分Step 1. Consider the basic analysis unit division of urban form

城市中的形态要素对于分割城市空间区域,形成更细粒度的空间单元,进而改变人口的流动与聚集模式也具有直接的限制作用。城市道路作为城市人口移动和通行的交通设施,是最基本的城市自然形态要素,对划分建筑地块、构成城市居民生活边界具有重要影响。The morphological elements in the city also have a direct restrictive effect on dividing urban spatial areas, forming finer-grained spatial units, and changing the flow and aggregation patterns of the population. As a transportation facility for urban population movement and passage, urban roads are the most basic urban natural form elements, and have an important impact on the division of building plots and the formation of urban residents' living boundaries.

1)宏观与中观城市形态要素提取与空间拓扑单元构建1) Extraction of macroscopic and mesoscopic urban morphological elements and construction of spatial topological units

首先利用城市形态要素界定空间范围和尺度,划分基础分析单元。根据城市到路网数据和水网数据,在某城市共提取到县级以上主干道路线要素约250000条,主要水系多边形要素约800条,共构建空间拓扑单元约50000个。Firstly, the urban form elements are used to define the spatial scope and scale, and the basic analysis units are divided. According to the city-to-road network data and water network data, a total of about 250,000 main road line elements above the county level and about 800 polygonal elements of the main water system were extracted in a city, and a total of about 50,000 spatial topological units were constructed.

2)多级道路多边形提取与过滤2) Multi-level road polygon extraction and filtering

面向微观尺度人口活动聚集区域贴合城市自然形态,过滤多级道路多边形、水系多边形和绿化多边形。考虑道路多边形的几何属性特征,由于TAZ适用于中观或宏观的空间分析,道路多边形面积普遍小于TAZ;考虑道路多边形的空间拓扑特征,道路是城市基础交通要素,道路多边形内仅包含与道路设施相关的空间要素。因此道路多边形的过滤步骤如下:For the micro-scale population activity gathering area, it fits the natural form of the city, and filters multi-level road polygons, water system polygons and green polygons. Considering the geometric attribute characteristics of road polygons, since TAZ is suitable for mesoscopic or macroscopic spatial analysis, the area of road polygons is generally smaller than that of TAZ; considering the spatial topology characteristics of road polygons, roads are basic urban traffic elements, and road polygons only contain road facilities. related spatial elements. Therefore, the filtering steps of the road polygon are as follows:

(1)单级道路多边形提取(1) Single-level road polygon extraction

在划分区域R内,选择等级最高的主干道路集合Li(i={1,2,3…r}r越大,等级越低) 合并区域边界B,通过线要素转换为面要素的空间拓扑处理构建空间单元集合Ui={uti1,uti2, uti3……utin},其中n为集合Ui中的空间单元最大数目,然后获取Ui中所有单元的面积uta,构建面积值分布直方图,根据直方图组数的突变点确定最小面积阈值minArea。对于任意 utip(p=[1,2…n])如果面积utaip小于minArea且单元内不包含除道路设施类型以外的其它要素,则该单元标记为道路多边形。反之,如果utaip大于阈值minArea,但仅包含道路设施相关的空间要素,则该单元也被标记为道路多边形。根据城市道路设施目录,从交通与仓储类型的 POI数据中提取了道路设施相关要素如表1所示。In the divided area R, select the arterial road set Li with the highest level (the larger i ={1, 2, 3...r}r, the lower the level), merge the area boundary B, and convert it into the space of area elements through line elements Topological processing constructs a set of space units U i = {ut i1 , ut i2 , ut i3 ...... ut in }, where n is the maximum number of space units in the set U i , and then obtains the area uta of all units in U i , the construction area The value distribution histogram, the minimum area threshold minArea is determined according to the mutation point of the histogram group number. For any ut ip (p=[1,2...n]) if the area uta ip is less than minArea and the cell contains no features other than road facility type, the cell is marked as a road polygon. Conversely, if the uta ip is greater than the threshold minArea, but only contains spatial features related to road facilities, the cell is also marked as a road polygon. According to the catalogue of urban road facilities, the relevant elements of road facilities are extracted from POI data of traffic and storage types, as shown in Table 1.

表1交通与仓储类型POI数据,用于过滤微观尺度道路多边形Table 1 Traffic and storage type POI data for filtering micro-scale road polygons

Figure GDA0003639839730000061
Figure GDA0003639839730000061

(2)多级道路多边形提取(2) Multi-level road polygon extraction

在Ui的基础上过滤道路多边形,并选择次等级的主干道Li+1,通过空间拓扑操作合并为空间单元集合Ui+1={ut(i+1)1,ut(i+1)2,ut(i+1)1……ut(i+1)m},其中m为集合Ui+1中空间单元的最大数目。然后在Ui+1的基础上重复步骤(1),直到合并所有等级的主干道,完成道路多边形的提取。基于上述步骤在某市共过滤道路多边形和水系多边形约30800个,最终获取基础分析单元约19000个。Filter the road polygons on the basis of U i , and select the main road L i+1 of the secondary level, and merge them into a spatial unit set U i+1 ={ut (i+1)1 , ut (i +1 ) through the spatial topology operation )2 , ut (i+1)1 ......ut (i+1)m }, where m is the maximum number of space units in the set U i+1 . Then repeat step (1) on the basis of U i+1 until the main roads of all levels are merged, and the extraction of road polygons is completed. Based on the above steps, about 30,800 road polygons and water system polygons were filtered in a city, and about 19,000 basic analysis units were finally obtained.

步骤2,人口汇聚偏好模型Step 2, Population Convergence Preference Model

城市微观尺度下,人口分布变化的平稳性不仅受到城市形态要素的影响也与人口行为相关联。人口在局部区域的分布和变化在城市形态要素的限制下,主要依赖出入口进行流动。在此基础上,城市人口在活动目的、距离等影响移动行为的因素驱动下选择偏好的出入口,进而由于行为相似性产生长期稳定的空间汇聚现象,进而以出入口为核心形成人口分布变化稳定的空间单元。At the urban micro-scale, the stability of population distribution changes is not only affected by urban morphological factors but also related to population behavior. The distribution and changes of population in local areas are limited by urban form factors and mainly rely on entrances and exits for flow. On this basis, the urban population chooses preferred entrances and exits driven by factors such as the purpose of activities, distance and other factors that affect mobile behavior, and then a long-term stable spatial convergence phenomenon occurs due to the similarity of behaviors, and then a space with stable population distribution changes is formed with the entrances and exits as the core. unit.

1)出入口要素定义与提取1) Definition and extraction of entry and exit elements

本发明对于出入口的定义是局部区域下人口流入和流出的固定通道,根据属性特征,通过构造语义字典获取属性描述上相符的出入口要素,其中语义字典主要包括方位、等级、序号和出入口描述等目录如表2所示。The definition of the entrance and exit in the present invention is a fixed channel for the inflow and outflow of the population in a local area. According to the attribute characteristics, the entrance and exit elements that match the attribute description are obtained by constructing a semantic dictionary, wherein the semantic dictionary mainly includes the directory such as orientation, grade, serial number, and entrance and exit description. As shown in table 2.

表2出入口要素提取语义字典Table 2. Entry and exit element extraction semantic dictionary

Figure GDA0003639839730000071
Figure GDA0003639839730000071

顾及空间特征,以与该边界直接相连内部道路进行空间叠加,获取空间特征上相符的出入口要素。根据语义字典从某市POI数据中匹配出入口要素约45000个;同时,结合道路网分类目录中的“停车场连接路”和“POI连接路”属性提取内部道路与基础分析单元边界交点,最后共获得出入口要素约53000个。Taking into account the spatial characteristics, the internal roads directly connected to the boundary are used for spatial superposition to obtain the entrance and exit elements that are consistent with the spatial characteristics. According to the semantic dictionary, about 45,000 entrance and exit elements are matched from the POI data of a city; at the same time, the intersection points of the internal road and the boundary of the basic analysis unit are extracted by combining the attributes of "parking lot connecting road" and "POI connecting road" in the road network classification directory, and finally a total of Obtained about 53,000 entrance and exit elements.

2)人口汇聚偏好模型构建2) Construction of population aggregation preference model

顾及人口流动对出入口选择的偏好特征,不同等级和空间位置的出入口要素对人口的流动和聚集具有差异性。人口汇集模式,人口流量大且空间特征与其它出入口要素相差较大的主出入口对局部区域的人口汇集具有显著影响。Taking into account the preference characteristics of population flow on the choice of entrance and exit, the entrance and exit elements of different levels and spatial locations have differences in population flow and aggregation. Population aggregation mode, main entrances and exits with large population flow and large differences in spatial characteristics from other entrance and exit elements have a significant impact on population aggregation in local areas.

首先,顾及出入口要素的语义属性特征部分出入口要素的获取来自与语义字典的匹配结果,因此可以根据语义字典目录提取主出入口要素,步骤如下:First, taking into account the semantic attribute features of the entry and exit elements, the entry and exit elements are obtained from the matching results with the semantic dictionary, so the main entry and exit elements can be extracted according to the semantic dictionary catalog. The steps are as follows:

(1)考虑人口步行出入口的低流量特征,不是人口流动和局部区域汇集主要节点,根据语义字典“分类”目录的“人行”词汇过滤的仅允许人步行通过的出入口要素。在某市由该方法共过滤出入口要素约8000个,余下出入口要素约39000个。(1) Considering the low-flow characteristics of pedestrian entrances and exits, not the main nodes of population flow and local area aggregation, the entrance and exit elements that only allow pedestrians to pass through are filtered according to the "pedestrian" vocabulary in the "category" directory of the semantic dictionary. In a city, about 8,000 entrance and exit elements are filtered by this method, and about 39,000 entrance and exit elements are left.

(2)考虑出入口要素的位置和分类,根据语义字典“方位和分类”目录中的“主要”、“前”等相似语义词汇提取空间位置上具有主要地位的出入口要素,标记为主要出入口。(2) Considering the location and classification of the entrance and exit elements, according to the similar semantic words such as "main" and "front" in the "orientation and classification" directory of the semantic dictionary, the entrance and exit elements with the main position in the spatial position are extracted, and marked as the main entrance and exit.

(3)考虑出入口要素的等级相似性特征,相同名称不同序号的出入口要素具有相似的人口偏好影响。因此根据语义字典“编号”目录中的具体序号提取具有相同出入口名称的出入口要素,标记为主要出入口。基于上述步骤在某市共标记主要出入口约160个。(3) Considering the level similarity characteristics of entrance and exit elements, entrance and exit elements with the same name but different serial numbers have similar population preference effects. Therefore, according to the specific serial number in the "number" directory of the semantic dictionary, the entrance and exit elements with the same entrance and exit names are extracted and marked as the main entrance and exit. Based on the above steps, a total of about 160 main entrances and exits were marked in a city.

其次,顾及基础分析单元的形状、面积和出入口要素空间分布特征的基础上,利用人口流动模拟方法标记进一步标记主出入口要素。基于人口模拟方法的标记步骤如下:Secondly, taking into account the shape, area and spatial distribution characteristics of the entrance and exit elements of the basic analysis unit, the main entrance and exit elements are further marked by using the population flow simulation method to mark. The labeling steps based on the population simulation method are as follows:

(1)人口流动路径网络构建(1) Construction of population flow path network

首先,考虑人口流动汇聚的地理特征,在划分区域R内部或外部选择一个地理方位假设一个虚拟的人口流动出发点Opj(j是根据地理方位选取的出发点,至多需要4个模拟点就可以完成模拟,因此本实施例中j=1,2,3,4)并以区域内所有的出入口要素集合作为目标地点,以城市主干道路网络作为人口流动的主要网络。同时仅考虑地理距离因素对人口移动的影响,利用 Dijkstra最短路径算法构建人口流动路径网络集合EPj={epj1,epj2…epjk},其中k为集合EPj中的流动路径最大数目。First, consider the geographic characteristics of population flow convergence, select a geographic location inside or outside the divided area R, and assume a virtual population flow starting point Op j (j is the starting point selected according to the geographic location, at most 4 simulation points are needed to complete the simulation , so in this embodiment, j=1, 2, 3, 4) and take all the set of entrance and exit elements in the area as the target location, and take the urban arterial road network as the main network of population flow. At the same time, only considering the influence of geographical distance on population movement, the Dijkstra shortest path algorithm is used to construct a population flow path network set EP j = {ep j1 ,ep j2 ...ep jk }, where k is the maximum number of flow paths in the set EP j .

本实施例在某市分别选取了位于东西两个方位的火车站和机场两个交通站点作为人口流动模拟的出发点,39000个出入口要素为终点,以县级以上道路为人口流动的模拟网络,以最短路径搜寻算法模拟构建人口流动路径共约78000条。In this example, two traffic stations, the railway station and the airport, located in the east and west directions of a city were selected as the starting point of the population flow simulation, 39,000 entrance and exit elements were used as the end points, and the roads above the county level were used as the simulation network for population flow. The shortest path search algorithm simulates and constructs about 78,000 population flow paths.

(2)出入口流动路径相似度计算(2) Calculation of similarity of inlet and outlet flow paths

提取主要道路网络的道路交叉点,将人口流动路径网络表达为路径交叉点要素的ID序列,然后利用difflib算法计算同一个基础分析单元内各个出入口模拟的路径相似度rs,difflib算法是基于LCS问题(如公式(1)所示),结合动态规划思想(如公式(2)所示)和完型匹配算法改进的序列差异度计算方法。公式(1)中,Xm是长度为m的序列X,Yn是长度为n的序列Y,LCS(Xm,Yn)为序列X和Y的最长公共子序列,max表示取最大值。公式(2)中, c[b][d]用于记录序列X和序列Y的最长公共子序列的长度,b和d分别为序列X和序列Y的长度。Extract the road intersections of the main road network, express the population flow path network as the ID sequence of the path intersection elements, and then use the difflib algorithm to calculate the path similarity rs simulated by each entrance and exit in the same basic analysis unit. The difflib algorithm is based on the LCS problem (as shown in formula (1)), combined with the idea of dynamic programming (as shown in formula (2)) and the improved sequence difference calculation method of the cloze matching algorithm. In formula (1), X m is the sequence X of length m, Y n is the sequence Y of length n, LCS(X m , Y n ) is the longest common subsequence of the sequences X and Y, and max represents the maximum value. value. In formula (2), c[b][d] is used to record the length of the longest common subsequence of sequence X and sequence Y, and b and d are the lengths of sequence X and sequence Y, respectively.

Figure GDA0003639839730000091
Figure GDA0003639839730000091

Figure GDA0003639839730000092
Figure GDA0003639839730000092

然后结合相似度阈值tv开展主出入口标记,本实施例根据城市人口对于基础设施点要素的步行敏感距离数值400m并结合人口流动路径网络点序列的平均长度设置tv为0.95。Then, the main entrance and exit marking is carried out in combination with the similarity threshold tv. In this embodiment, tv is set to 0.95 according to the walking sensitive distance value of the urban population to the infrastructure point elements of 400m and the average length of the network point sequence of the population flow path.

(3)基于路径相似度的主出入口标记(3) Main entrance and exit marking based on path similarity

对于任意基础分析单元内的任意两个出入口计算对应的流动路径epjv和 epjw(v=[1,2…k],w=[1,2…k],v≠w)的相似度rs,如果rs小于阈值tv则将两个出入口要素分别标记为主出入口;如果rs大于阈值tv则先将两个出入口要素标记为同一个簇。依次对每个出入口要素执行上述操作获得簇集合CTR={ct1,ct2,ct3……ctx},其中x为集合CTR中的簇最大数目。然后对于任意簇ctg(g=[1,2…x])中的出入口要素,考虑空间簇的中心具有代表性的特征,计算簇ctg中每个出入口要素对应路径的地理距离dis获得距离集合DS={disg1,disg2, disg3……disgy},通过对DS的进行排序获得序列SQ={sg1,sg2,sg3……sgy},其中y为距离集合DS和排序序列SQ的最大数目,选择序列SQ的中值对应的出入口要素标记为主出入口。本实施例基于上述步骤计算后共得到包含2个以上主出入口的基本分析单元约6000个。Calculate the similarity rs of the corresponding flow paths ep jv and ep jw (v=[1,2...k],w=[1,2...k],v≠w) for any two entrances and exits in any basic analysis unit , if rs is less than the threshold tv, the two entrance and exit elements are marked as the main entrance and exit respectively; if rs is greater than the threshold tv, the two entrance and exit elements are first marked as the same cluster. Perform the above operations on each entry and exit element in turn to obtain a cluster set CTR={ct 1 , ct 2 , ct 3 ...... ct x }, where x is the maximum number of clusters in the set CTR. Then, for the entrance and exit elements in any cluster ct g (g=[1,2...x]), considering the representative features of the center of the spatial cluster, calculate the geographic distance dis of the corresponding path of each entrance and exit element in the cluster ct g to obtain the distance. Set DS={dis g1 , dis g2 , dis g3 ……dis gy }, and obtain sequence SQ={s g1 , s g2 , s g3 …… s gy } by sorting DS, where y is the distance set DS and The maximum number of sorted sequences SQ, and the entry and exit elements corresponding to the median value of the selected sequence SQ are marked as the main entry and exit. In this embodiment, about 6000 basic analysis units including more than two main entrances and exits are obtained after calculation based on the above steps.

步骤3,基于微观要素的FPAZ划分Step 3, FPAZ division based on microscopic elements

基于人口汇聚偏好模型获取的主要出入口要素,对基础分析单元作进一步的划分获得微观尺度下适宜表达人口分布和变化信息的FPAZ。考虑基础分析单元内的微观结构要素对于人口汇聚的空间范围影响,FPAZ的划分步骤如下:Based on the main entrance and exit elements obtained by the population convergence preference model, the basic analysis unit is further divided to obtain FPAZ that is suitable for expressing population distribution and change information at the micro-scale. Considering the influence of the microstructural elements in the basic analysis unit on the spatial extent of population aggregation, the division steps of FPAZ are as follows:

1)微观结构要素提取1) Extraction of microstructural elements

提取基础分析单元内的微观结构要素如内部道路、人工湖等,并与基础分析单元边界结合线要素转换为面要素的空间拓扑处理得到单元集合M。Extract the microstructure elements in the basic analysis unit, such as internal roads, artificial lakes, etc., and combine the line elements with the boundary of the basic analysis unit to convert the line elements into surface elements to obtain the unit set M.

2)基于主出入口要素的单元分类2) Unit classification based on main entrance and exit elements

根据基础分析单元内主出入口要素集合E={e1,e2,e3……eh},h为集合E中的主出入口要素最大数目,对M的各个单元设置出入口分类为EntryC,如果某单元内包含唯一主出入口要素时标记单元类别EntryC为该要素的ID属性;反之,若某单元内包含超过一个或不包含主出入口要素时,计算该单元质心到各个主出入口要素的欧式距离,获取其中的最短距离minEntry 的出入口要素ID属性标记单元类别EntryC。According to the set of main entry and exit elements in the basic analysis unit E={e 1 , e 2 , e 3 ...... e h }, h is the maximum number of main entry and exit elements in the set E, and the entry and exit classification of each unit of M is set as EntryC, if When a unit contains a unique main entrance and exit element, mark the unit category EntryC as the ID attribute of the element; on the contrary, if a unit contains more than one or no main entrance and exit elements, calculate the Euclidean distance from the centroid of the unit to each main entrance and exit element, The entry and exit element ID attribute of the shortest distance minEntry among them is obtained and the unit type EntryC is marked.

3)FPAZ划分3) FPAZ division

基于主出入口的分类结果,对M中类别EntryC相同的单元进行空间融合,并将所有融合后的单元进行合并即获得该基础分析单元内的FPAZ。Based on the classification results of the main entrance and exit, spatially fuse the units with the same category EntryC in M, and merge all the fused units to obtain the FPAZ in the basic analysis unit.

本实施例在某市人口汇聚偏好模型计算的结果上,基于上述步骤对6000个基本分析单元作了进一步划分,结合原有的基础分析单元共得到FPAZ约39000个。In this embodiment, based on the calculation result of a city's population aggregation preference model, 6000 basic analysis units are further divided based on the above steps, and a total of about 39,000 FPAZs are obtained in combination with the original basic analysis units.

本发明基于城市人口流动汇聚的特征,以城市宏观中观形态要素界定空间尺度和空间划分范围,面向微观尺度需求过滤多级道路多边形,构建基础分析单元。利用人口汇聚偏好模型标记对人口汇聚具有主要影响的出入口要素,并结合基础分析单元内的微观结构要素进一步划分适宜表达人口分布与变化特征的FPAZ。本发明对于微观尺度人口分析单元划分方法的研究有助于人口分布与变化时空模式分析挖掘,从而进一步支撑城市人口的精细化管理。Based on the characteristics of urban population flow and convergence, the invention defines the spatial scale and the spatial division range with urban macro-meso form elements, filters multi-level road polygons for micro-scale requirements, and constructs a basic analysis unit. The population convergence preference model is used to mark the entrance and exit elements that have a major impact on population convergence, and combined with the microstructural elements in the basic analysis unit to further divide the FPAZ that is suitable for expressing the characteristics of population distribution and change. The research on the division method of the micro-scale population analysis unit in the present invention is helpful for the analysis and mining of the population distribution and the changing spatiotemporal pattern, thereby further supporting the refined management of the urban population.

本文中所描述的具体实施例仅仅是对本发明精神作举例说明。本发明所属技术领域的技术人员可以对所描述的具体实施例做各种各样的修改或补充或采用类似的方式替代,但并不会偏离本发明的精神或者超越所附权利要求书所定义的范围。The specific embodiments described herein are merely illustrative of the spirit of the invention. Those skilled in the art to which the present invention pertains can make various modifications or additions to the described specific embodiments or substitute in similar manners, but will not deviate from the spirit of the present invention or go beyond the definitions of the appended claims range.

Claims (5)

1.一种基于城市形态与汇聚模式的人口分析单元划分方法,其特征在于,包含以下步骤:1. a population analysis unit division method based on urban form and convergence mode, is characterized in that, comprises the following steps: S1、根据城市的空间结构和人口分析细粒度需求,提取分割和组成城市空间区域的要素,包括城市主干道路和水系,面向微观尺度人口活动区域功能异质性贴合城市自然形态,基于几何属性和空间拓扑特征提取道路与水系多边形,将剩余的形态要素通过多边形化拓扑处理划分基础分析单元;S1. According to the fine-grained needs of urban spatial structure and population analysis, extract the elements that segment and compose urban spatial areas, including urban trunk roads and water systems, oriented to the functional heterogeneity of micro-scale population activity areas and fit the urban natural form, based on geometric Attributes and spatial topological features extract road and water polygons, and divide the remaining morphological elements into basic analysis units through polygonal topology processing; S2、考虑城市人口流动在局部汇聚的空间分布特征以及依赖出入口动态变化的长期稳定特征,构建以局部出入口要素为空间划分核心的人口汇聚偏好模型,利用语义字典匹配和人口流动模拟方法提取对人口汇聚具有关键作用的主出入口要素;S2. Considering the spatial distribution characteristics of urban population flow in local convergence and the long-term stability characteristics that depend on the dynamic changes of entrances and exits, construct a population convergence preference model with local entrance and exit elements as the core of spatial division, and use semantic dictionary matching and population flow simulation methods to extract population Aggregate key entry and exit elements; 步骤S2中利用语义字典匹配和人口流动模拟方法提取对人口汇聚具有关键作用的主出入口要素的具体实现方式如下;In step S2, using semantic dictionary matching and population flow simulation methods to extract the main entrance and exit elements that play a key role in population aggregation is as follows; S21、人口流动路径网络构建S21. Construction of population flow path network 首先,考虑人口流动汇聚的地理特征,在划分区域R内部或外部选择一个地理方位假设一个虚拟的人口流动出发点Opj,j是根据地理方位选取的出发点;并以区域内所有的出入口要素集合作为目标地点,以城市主干道路网络作为人口流动的主要网络;同时仅考虑地理距离因素对人口移动的影响,利用Dijkstra最短路径算法构建人口流动路径网络集合EPj={epj1,epj2…epjk},其中k为集合EPj中的流动路径最大数目;First, considering the geographic characteristics of population flow convergence, select a geographic location inside or outside the divided area R, assuming a virtual population flow starting point Op j , j is the starting point selected according to the geographic location; At the target location, the main urban road network is used as the main network for population flow; at the same time, only the influence of geographical distance factors on population movement is considered, and the Dijkstra shortest path algorithm is used to construct a population flow path network set EP j = {ep j1 ,ep j2 …ep jk }, where k is the maximum number of flow paths in set EP j ; S22、出入口流动路径相似度计算S22. Calculation of similarity of inlet and outlet flow paths 提取主要道路网络的道路交叉点,将人口流动路径网络表达为路径交叉点要素的ID序列,然后利用difflib算法计算同一个基础分析单元内各个出入口模拟的路径相似度rs,并结合相似度阈值tv开展主出入口标记,根据城市人口对于基础设施点要素的步行敏感距离数值,并结合人口流动路径网络点序列的平均长度设置tv;Extract the road intersections of the main road network, express the population flow path network as the ID sequence of the path intersection elements, and then use the difflib algorithm to calculate the path similarity rs simulated by each entrance and exit in the same basic analysis unit, and combine the similarity threshold tv Carry out main entrance and exit marking, and set tv according to the walking sensitive distance value of urban population to infrastructure point elements, combined with the average length of the network point sequence of the population flow path; S23、基于路径相似度的主出入口标记S23. Main entrance and exit marking based on path similarity 对于任意基础分析单元内的任意两个出入口计算对应的流动路径epjv和epjw的相似度rs,v=[1,2…k],w=[1,2…k],v≠w,如果rs小于阈值tv则将两个出入口要素分别标记为主出入口;如果rs大于阈值tv则先将两个出入口要素标记为同一个簇;依次对每个出入口要素执行上述操作获得簇集合CTR={ct1,ct2,ct3……ctx},其中x为集合CTR中的簇最大数目;然后对于任意簇ctg中的出入口要素,g=[1,2…x],考虑空间簇的中心具有代表性的特征,计算簇ctg中每个出入口要素对应路径的地理距离dis获得距离集合DS={disg1,disg2,disg3……disgy},通过对DS的进行排序获得序列SQ={sg1,sg2,sg3……sgy},其中y为距离集合DS和排序序列SQ的最大数目,选择序列SQ的中值对应的出入口要素标记为主出入口;Calculate the similarity rs of the corresponding flow paths ep jv and ep jw for any two entrances and exits in any basic analysis unit, v=[1,2...k],w=[1,2...k], v≠w, If rs is less than the threshold tv, the two entry and exit elements are marked as the main entry and exit; if rs is greater than the threshold tv, the two entry and exit elements are first marked as the same cluster; perform the above operations on each entry and exit element in turn to obtain a cluster set CTR={ ct 1 , ct 2 , ct 3 ...... ct x }, where x is the maximum number of clusters in the set CTR; then for the entry and exit elements in any cluster ct g , g = [1,2... The center has a representative feature. Calculate the geographic distance dis of the corresponding path of each entry and exit element in the cluster ct g to obtain the distance set DS={dis g1 , dis g2 , dis g3 ......dis gy }, and obtain the sequence by sorting the DS SQ={s g1 , s g2 , s g3 ...... s gy }, where y is the maximum number of the distance set DS and the sorting sequence SQ, and the entrance and exit elements corresponding to the median value of the sequence SQ are selected to be marked as the main entrance and exit; S3、利用基础分析单元内的微观结构要素,综合人口汇聚偏好模型提取的主出入口要素利用空间聚类方法划分适合表达和分析人口分布与变化特征的FPAZ,即精细人口分析区。S3. Using the microstructural elements in the basic analysis unit, the main entrance and exit elements extracted by the comprehensive population aggregation preference model use the spatial clustering method to divide the FPAZ suitable for expressing and analyzing the characteristics of population distribution and change, that is, the fine population analysis area. 2.如权利要求1所述的一种基于城市形态与汇聚模式的人口分析单元划分方法,其特征在于:步骤S1中提取道路多边形的具体实现方式如下;2. a kind of population analysis unit division method based on urban form and convergence mode as claimed in claim 1, is characterized in that: the concrete implementation mode of extracting road polygon in step S1 is as follows; S11、单级道路多边形提取S11. Single-level road polygon extraction 在划分区域R内,选择等级最高的主干道路集合Li,i={1,2,3…r},r越大,等级越低;合并区域边界B,通过线要素转换为面要素的空间拓扑处理构建空间单元集合Ui={uti1,uti2,uti3……utin},其中n为集合Ui中的空间单元最大数目,然后获取Ui中所有单元的面积uta,构建面积值分布直方图,根据直方图组数的突变点确定最小面积阈值minArea,对于任意utip,p=[1,2…n],如果面积utaip小于minArea且单元内不包含除道路设施类型以外的其它要素,则该单元标记为道路多边形;反之,如果utaip大于阈值minArea,但仅包含道路设施相关的空间要素,则该单元也被标记为道路多边形;In the divided area R, select the main road set Li with the highest grade, i ={1, 2, 3...r}, the larger the r, the lower the grade; Spatial topology processing constructs a set of space units U i = {ut i1 , ut i2 , ut i3 ...... ut in }, where n is the maximum number of space units in the set U i , and then obtains the area uta of all units in U i , and constructs The area value distribution histogram, the minimum area threshold minArea is determined according to the mutation point of the histogram group number, for any ut ip , p=[1,2...n], if the area uta ip is less than minArea and the unit does not contain other than road facility types If the uta ip is greater than the threshold minArea, but only contains spatial features related to road facilities, the unit is also marked as a road polygon; S12、多级道路多边形提取S12, multi-level road polygon extraction 在Ui的基础上过滤道路多边形,并选择次等级的主干道Li+1,通过空间拓扑操作合并为空间单元集合Ui+1={ut(i+1)1,ut(i+1)2,ut(i+1)1……ut(i+1)m},其中m为集合Ui+1中空间单元的最大数目;然后在Ui+1的基础上重复步骤S11,直到合并所有等级的主干道,完成道路多边形的提取。Filter the road polygons on the basis of U i , and select the main road L i+1 of the secondary level, and merge them into a spatial unit set U i+1 ={ut (i+1)1 , ut (i +1 ) through the spatial topology operation )2 , ut (i+1)1 ......ut (i+1)m }, where m is the maximum number of space units in the set U i+1 ; then repeat step S11 on the basis of U i+1 , until Merge all levels of arterial roads to complete the extraction of road polygons. 3.如权利要求1所述的一种基于城市形态与汇聚模式的人口分析单元划分方法,其特征在于:步骤S22中所述difflib算法是基于LCS问题,如公式(1)所示,结合动态规划思想,如公式(2)所示,以及完型匹配算法改进的序列差异度计算方法;公式(1)中,Xm是长度为m的序列X,Yn是长度为n的序列Y,LCS(Xm,Yn)为序列X和Y的最长公共子序列,max表示取最大值,公式(2)中,c[b][d]用于记录序列X和序列Y的最长公共子序列的长度,b和d分别为序列X和序列Y的长度;3. a kind of population analysis unit division method based on urban form and convergence mode as claimed in claim 1, is characterized in that: the difflib algorithm described in step S22 is based on LCS problem, as shown in formula (1), combined with dynamic The planning idea, as shown in formula (2), and the improved sequence difference calculation method of the cloze matching algorithm; in formula (1), X m is the sequence X of length m, Y n is the sequence Y of length n, LCS(X m , Y n ) is the longest common subsequence of sequences X and Y, and max means taking the maximum value. In formula (2), c[b][d] is used to record the longest common subsequence of sequence X and sequence Y The length of the common subsequence, b and d are the lengths of sequence X and sequence Y respectively;
Figure FDA0003639839720000021
Figure FDA0003639839720000021
Figure FDA0003639839720000022
Figure FDA0003639839720000022
4.如权利要求1所述的一种基于城市形态与汇聚模式的人口分析单元划分方法,其特征在于:步骤S3中FPAZ的划分步骤如下;4. a kind of population analysis unit dividing method based on urban form and convergence pattern as claimed in claim 1 is characterized in that: the dividing step of FPAZ in step S3 is as follows; 1)微观结构要素提取1) Extraction of microstructural elements 提取基础分析单元内的微观结构要素,包括内部道路、人工湖,并与基础分析单元边界结合线要素转换为面要素的空间拓扑处理得到单元集合M;Extract the microstructural elements in the basic analysis unit, including internal roads and artificial lakes, and combine the line elements with the boundary of the basic analysis unit to convert the line elements into surface elements to obtain a unit set M; 2)基于主出入口要素的单元分类2) Unit classification based on main entrance and exit elements 根据基础分析单元内主出入口要素集合E={e1,e2,e3……eh},h为集合E中的主出入口要素最大数目,对M的各个单元设置出入口分类为EntryC,如果某单元内包含唯一主出入口要素时标记单元类别EntryC为该要素的ID属性;反之,若某单元内包含超过一个或不包含主出入口要素时,计算该单元质心到各个主出入口要素的欧式距离,获取其中的最短距离minEntry的出入口要素ID属性标记单元类别EntryC;According to the set of main entry and exit elements in the basic analysis unit E={e 1 , e 2 , e 3 ...... e h }, h is the maximum number of main entry and exit elements in the set E, and the entry and exit classification of each unit of M is set as EntryC, if When a unit contains a unique main entrance and exit element, mark the unit category EntryC as the ID attribute of the element; on the contrary, if a unit contains more than one or no main entrance and exit elements, calculate the Euclidean distance from the centroid of the unit to each main entrance and exit element, Obtain the entry and exit element ID attribute of the shortest distance minEntry and mark the unit category EntryC; 3)FPAZ划分3) FPAZ division 基于主出入口的分类结果,对M中类别EntryC相同的单元进行空间融合,并将所有融合后的单元进行合并即获得该基础分析单元内的FPAZ。Based on the classification results of the main entrance and exit, spatial fusion is performed on the units with the same category EntryC in M, and all fused units are merged to obtain the FPAZ in the basic analysis unit. 5.如权利要求1所述的一种基于城市形态与汇聚模式的人口分析单元划分方法,其特征在于:tv的取值为0.95。5 . The method for dividing population analysis units based on urban morphology and aggregation mode according to claim 1 , wherein the value of tv is 0.95. 6 .
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