CN116310853A - Multi-source data-based extraction method for edge regions of medium and small cities - Google Patents

Multi-source data-based extraction method for edge regions of medium and small cities Download PDF

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CN116310853A
CN116310853A CN202211565899.2A CN202211565899A CN116310853A CN 116310853 A CN116310853 A CN 116310853A CN 202211565899 A CN202211565899 A CN 202211565899A CN 116310853 A CN116310853 A CN 116310853A
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李健锋
彭飚
刘思琪
魏雨露
张璐璐
王璐瑶
郭超
谢潇
齐丽
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Xian Jiaotong University
Shaanxi Land Engineering Technology Research Institute Co Ltd
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Abstract

The application discloses a method for extracting a border region of a medium and small city based on multi-source data, which comprises the following steps: acquiring remote sensing images, POI (PointOfInterest) data, lamplight images and population data of cities; analyzing the remote sensing image to obtain landscape disorder degree; evaluating the nuclear density according to the POI data to obtain the POI nuclear density; determining night light intensity according to the light image; determining a single interpretation effort degree of the view disorder degree, the POI nuclear density and the night light intensity on population data; determining the weight of the landscape disorder degree, the POI nuclear density and the night light intensity; determining the comprehensive index of each region according to the weight; the regions are divided into a plurality of categories according to the comprehensive index, including urban edge areas. The model provided by the application is obviously stronger than a landscape disorder degree threshold method and a POI nuclear density breakpoint analysis method in the aspects of precision, detail and integrity, has higher universality and can meet the research requirements of the border areas of small and medium cities.

Description

一种基于多源数据的中小城市边缘区提取方法A method of extracting the fringe area of small and medium cities based on multi-source data

技术领域technical field

本申请涉及图像处理技术领域,特别涉及一种基于多源数据的中小城市边缘区提取方法。The present application relates to the technical field of image processing, in particular to a method for extracting fringe areas of small and medium-sized cities based on multi-source data.

背景技术Background technique

城市边缘区作为城市与乡村之间的连接纽带,是城市扩张过程中土地利用和空间结构变化最快的区域,具有多样性、动态性和过渡性的特点。快速准确地识别城市边缘区对优化城市空间布局、控制城市无限扩张以及保护土地资源具有重要的现实意义。As the link between the city and the countryside, the urban fringe area is the area with the fastest changes in land use and spatial structure in the process of urban expansion, and it has the characteristics of diversity, dynamics, and transition. Rapid and accurate identification of urban fringe areas has important practical significance for optimizing urban spatial layout, controlling urban expansion and protecting land resources.

目前城市边缘区的识别方法主要有城乡梯度视图法、阈值法、突变点/断裂点分析法等。城乡梯度视图法主要根据区域土地利用、社会经济和人口密度等因素的空间梯度变化来识别城市边缘区。然而,城乡梯度视图法难以克服在景观结构分散地区确定分界点时的主观性。阈值法是根据距建成区距离、人口密度、建筑比例、信息熵等指标的阈值范围确定城市边缘区。阈值法具有简单实用的特点,但通常阈值的确定需要反复实验获得,存在效率低、结果不连续、通用性差等问题。突变点/断裂点分析法是通过模型计算夜间灯光强度、不透水面指数、景观紊乱度等单一或综合指标在不同方向的突变/断裂值确定城市边缘区,是目前的主流方法。At present, the identification methods of urban fringe areas mainly include urban-rural gradient view method, threshold method, mutation point/breaking point analysis method, etc. The urban-rural gradient view method mainly identifies urban fringe areas based on the spatial gradient changes of factors such as regional land use, socioeconomics, and population density. However, the urban-rural gradient view method is difficult to overcome the subjectivity of determining the dividing point in areas with scattered landscape structures. The threshold method is to determine the urban fringe area according to the threshold range of the distance from the built-up area, population density, building proportion, information entropy and other indicators. The threshold method is simple and practical, but usually the determination of the threshold requires repeated experiments, which has problems such as low efficiency, discontinuous results, and poor versatility. The abrupt change point/break point analysis method is to determine the urban fringe area by calculating the sudden change/break value of single or comprehensive indicators such as nighttime light intensity, impermeable surface index, and landscape disorder in different directions through the model, which is currently the mainstream method.

然而,针对城市边缘的识别研究主要集中于大城市,尚未存在适用于中小城市边缘区的提取模型。与大城市不同,中小城市边缘区范围往往较小,而可获取的与城市发展相关的数据(经济、人口、灯光影像)空间分辨率较低,增加了准确识别城市边缘区的难度。However, the research on the identification of urban fringes is mainly concentrated in large cities, and there is no extraction model suitable for small and medium-sized urban fringes. Different from large cities, the fringe areas of small and medium-sized cities are often small, and the available data related to urban development (economy, population, lighting images) have low spatial resolution, which increases the difficulty of accurately identifying urban fringe areas.

发明内容Contents of the invention

本申请实施例提供了一种基于多源数据的中小城市边缘区提取方法,用以解决现有技术方法对于中小城市边缘区提取存在的难度大、精度低、通用性差、结果不连续的问题。The embodiment of the present application provides a method for extracting fringe areas of small and medium-sized cities based on multi-source data, which is used to solve the problems of high difficulty, low accuracy, poor versatility, and discontinuous results in existing methods for extracting fringe areas of small and medium-sized cities.

一方面,本申请实施例提供了一种基于多源数据的中小城市边缘区提取方法,包括:On the one hand, the embodiment of the present application provides a method for extracting fringe areas of small and medium-sized cities based on multi-source data, including:

获取城市的遥感影像、POI数据、灯光影像和人口数据;Obtain remote sensing images, POI data, lighting images and population data of the city;

对遥感影像进行土地利用分类,获得城市的景观紊乱度;Carry out land use classification on remote sensing images to obtain urban landscape disorder;

根据POI数据对城市的核密度进行评估,获得城市的POI核密度;Evaluate the city's kernel density based on POI data to obtain the city's POI kernel density;

根据灯光影像确定城市的夜间灯光强度;Determine the nighttime light intensity of the city based on the light image;

确定景观紊乱度、POI核密度和夜间灯光强度分别对人口数据的单一解释力程度;Determine the degree of single explanatory power of landscape disorder, POI kernel density, and nighttime light intensity to population data;

根据单一解释力程度占解释力程度总和的比例确定景观紊乱度、POI核密度和夜间灯光强度的权重;Determine the weight of landscape disorder, POI kernel density and night light intensity according to the ratio of single explanatory power to the total explanatory power;

根据权重确定城市中各个区域的综合指数;Determine the comprehensive index of each area in the city according to the weight;

根据综合指数将城市的各个区域划分为多个类别,其中包括城市边缘区。Areas of the city are divided into categories based on a composite index, which includes the urban fringe.

本申请中的一种基于多源数据的中小城市边缘区提取方法,具有以下优点:A method for extracting fringe areas of small and medium cities based on multi-source data in this application has the following advantages:

基于GF-2影像、POI数据、NPP/VIIRS影像和Woldpop多源数据,以景观紊乱度、POI核密度和夜间灯光强度作为城市特征因子,构建了中小城市边缘区提取模型。通过汉台区、商州区、汉滨区三个中小城市的测试发现,本申请提出的模型在精度、细节性、完整性方面明显强于景观紊乱度阈值法和POI核密度断点分析法,并且通用性较高,能满足中小城市边缘区的研究需求。Based on GF-2 images, POI data, NPP/VIIRS images, and Woldpop multi-source data, the extraction model of small and medium-sized urban fringe areas was constructed with landscape disorder, POI kernel density, and nighttime light intensity as urban characteristic factors. Through the test of three small and medium-sized cities in Hantai District, Shangzhou District and Hanbin District, it is found that the model proposed in this application is significantly better than the landscape disorder threshold method and POI kernel density breakpoint analysis method in terms of accuracy, detail and integrity. , and has high versatility, which can meet the research needs of small and medium-sized urban fringe areas.

附图说明Description of drawings

为了更清楚地说明本申请实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本申请的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the technical solutions in the embodiments of the present application or the prior art, the following will briefly introduce the drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only These are some embodiments of the present application. Those skilled in the art can also obtain other drawings based on these drawings without creative work.

图1为本申请实施例提供的一种基于多源数据的中小城市边缘区提取方法的流程图;Fig. 1 is a flow chart of a method for extracting fringe areas of small and medium-sized cities based on multi-source data provided by the embodiment of the present application;

图2为本申请实施例提供的汉台区的景观紊乱度示意图;Fig. 2 is the schematic diagram of landscape disorder in Hantai District provided by the embodiment of the present application;

图3为本申请实施例提供的汉台区不同带宽下的核密度示意图;FIG. 3 is a schematic diagram of kernel density under different bandwidths in the Hantai District provided by the embodiment of the present application;

图4为本申请实施例提供的汉台区的城市边缘区提取结果示意图;FIG. 4 is a schematic diagram of the extraction results of the urban fringe area in Hantai District provided by the embodiment of the present application;

图5为本申请实施例提供的商州区和汉滨区的城市边缘区提取结果示意图。Fig. 5 is a schematic diagram of the extraction results of urban fringe areas in Shangzhou District and Hanbin District provided by the embodiment of the present application.

具体实施方式Detailed ways

下面将结合本申请实施例中的附图,对本申请实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本申请一部分实施例,而不是全部的实施例。基于本申请中的实施例,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,都属于本申请保护的范围。The following will clearly and completely describe the technical solutions in the embodiments of the application with reference to the drawings in the embodiments of the application. Apparently, the described embodiments are only some of the embodiments of the application, not all of them. Based on the embodiments in this application, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the scope of protection of this application.

图1为本申请实施例提供的一种基于多源数据的中小城市边缘区提取方法的流程图。本申请实施例提供了一种基于多源数据的中小城市边缘区提取方法,包括:FIG. 1 is a flow chart of a method for extracting fringe areas of small and medium-sized cities based on multi-source data provided by an embodiment of the present application. The embodiment of the present application provides a method for extracting fringe areas of small and medium-sized cities based on multi-source data, including:

S100,获取城市的遥感影像、POI数据、灯光影像和人口数据。S100, acquiring remote sensing images, POI data, light images and population data of the city.

示例性地,本申请中使用的数据包括GF-2、POI、Woldpop、NPP/VIIRS以及行政边界五类数据,表1显示了数据的具体信息。其中由GF-2号卫星获取的遥感影像实现了亚米级空间分辨率、多光谱综合遥感数据获取,具有高定位精度、高空间分辨率和高时间分辨率等特点。本申请采用2020年7月份覆盖研究区的4景GF-2号遥感影像。Exemplarily, the data used in this application include five types of data: GF-2, POI, Woldpop, NPP/VIIRS, and administrative boundaries. Table 1 shows the specific information of the data. Among them, the remote sensing images acquired by the GF-2 satellite have achieved sub-meter spatial resolution and multi-spectral comprehensive remote sensing data acquisition, and have the characteristics of high positioning accuracy, high spatial resolution and high temporal resolution. This application uses the GF-2 remote sensing image of 4 scenes covering the study area in July 2020.

POI是可以抽象为点的地理对象,尤其是一些与人们生活密切相关的地理实体。本申请中的POI数据来源于高德地图(https://lbs.amap.com/)。POI is a geographic object that can be abstracted as a point, especially some geographic entities that are closely related to people's lives. The POI data in this application comes from Amap (https://lbs.amap.com/).

灯光影像则采用NPP/VIIRS数据,NPP/VIIRS数据来源于美国国家地球物理数据中心(National Geophysical Data Center,NGDC),由Suomi NPP卫星搭载可见红外光成像辐射仪器探测所得。本申请选用NGDC提供的2020年7月份的月度数据灯光产品,空间分辨率为500m。The light image uses NPP/VIIRS data. The NPP/VIIRS data comes from the National Geophysical Data Center (NGDC) in the United States and is detected by the visible infrared imaging radiation instrument carried by the Suomi NPP satellite. This application selects the monthly data lighting products provided by NGDC in July 2020, with a spatial resolution of 500m.

人口数据选用Woldpop数据。本申请选用2020年7月份100m分辨率的Woldpop数据。Population data use Woldpop data. This application selects Woldpop data with a resolution of 100m in July 2020.

表1数据具体信息Table 1 Data specific information

Figure SMS_1
Figure SMS_1

S110,对遥感影像进行土地利用分类,获得城市的景观紊乱度。S110, performing land use classification on remote sensing images to obtain urban landscape disorder.

示例性地,S110具体包括:利用面向对象的SVM(Supported Vector Machine)分类方法对遥感影像进行土地利用分类;根据土地利用类型确定景观紊乱度。Exemplarily, S110 specifically includes: using an object-oriented SVM (Supported Vector Machine) classification method to perform land use classification on remote sensing images; and determining the landscape disorder degree according to the land use type.

本申请采用面向对象的SVM分类方法。面向对象的分类方法突破了传统分类方法以单个像元为基本分类和处理单元的局限性,从对象层次对图像进行分类,减少了传统基于像元的分类方法所含有语义信息的损失率。SVM是一种建立在统计学习理论的VC维理论和结构风险最小化原理基础上的分类算法。相比于神经网络或传统的基于统计的分类方法,SVM通过向量的个数来控制模型的复杂度,不需要通过降维处理削减特征变量来控制模型的复杂度,因此在分类的过程中,SVM分类器不会损失地物目标的特征信息,减少了一些过拟合现象的发生。This application adopts the object-oriented SVM classification method. The object-oriented classification method breaks through the limitations of traditional classification methods that use a single pixel as the basic classification and processing unit, classifies images from the object level, and reduces the loss rate of semantic information contained in traditional pixel-based classification methods. SVM is a classification algorithm based on the VC dimension theory of statistical learning theory and the principle of structural risk minimization. Compared with neural networks or traditional statistics-based classification methods, SVM controls the complexity of the model through the number of vectors, and does not need to reduce the feature variables through dimensionality reduction to control the complexity of the model. Therefore, in the process of classification, The SVM classifier will not lose the characteristic information of the ground object, which reduces the occurrence of some over-fitting phenomena.

面向对象的SVM分类方法兼顾面向对象多尺度分割与SVM的优点,先根据图像上对象区域的性质进行多尺度分割,不仅考虑到图像的光谱信息,同时也加入了纹理、几何形状以及空间拓扑关系等特征,再利用训练样本进行支持向量机分类。面向对象的SVM分类方法在精度、泛化性以及高维数据处理等方面均具有明显的优势,在遥感影像分类应用中获得了广泛应用。The object-oriented SVM classification method takes into account the advantages of object-oriented multi-scale segmentation and SVM. First, multi-scale segmentation is performed according to the properties of the object area on the image, not only considering the spectral information of the image, but also adding texture, geometric shape and spatial topology. and other features, and then use the training samples for support vector machine classification. The object-oriented SVM classification method has obvious advantages in accuracy, generalization and high-dimensional data processing, and has been widely used in remote sensing image classification applications.

进一步地,在利用面向对象的SVM分类方法对遥感影像进行土地利用分类之前,还对遥感影像进行预处理。该预处理包括对遥感影像进行大气校正、融合、镶嵌和裁剪操作。Furthermore, before the object-oriented SVM classification method is used to classify remote sensing images for land use, the remote sensing images are also preprocessed. The preprocessing includes atmospheric correction, fusion, mosaic and cropping operations on remote sensing images.

完成对遥感影像的预处理后,即可对遥感影像进行土地利用分类,进而确定景观紊乱度。具体地,景观紊乱度可表示城市景观的破碎和分散程度,反映景观空间的异质性和同质性。单位面积内土地利用斑块的异质性越高,景观紊乱度就越大。城市与农村区域通常用地类型单一,多为连片的建设用地或农用地,景观紊乱度较低。城市边缘区是介于城市景观和农业腹地之间的一条活跃的扩展带,土地利用类型多样,景观紊乱度较高。因此,城市边缘区的范围可通过景观紊乱的差异进行判定。景观紊乱度的公式如下:After the preprocessing of the remote sensing image is completed, the land use classification can be carried out on the remote sensing image, and then the degree of landscape disorder can be determined. Specifically, the degree of landscape disorder can represent the degree of fragmentation and dispersion of urban landscape, reflecting the heterogeneity and homogeneity of landscape space. The higher the heterogeneity of land use patches per unit area, the greater the degree of landscape disorder. Urban and rural areas usually have a single type of land use, mostly contiguous construction land or agricultural land, with a low degree of landscape disorder. The urban fringe area is an active expansion zone between the urban landscape and the agricultural hinterland, with various land use types and high landscape disorder. Therefore, the extent of the urban fringe can be judged by the difference in landscape disorder. The formula of landscape disorder degree is as follows:

Figure SMS_2
Figure SMS_2

式中,W为景观紊乱度值,Xn表示单位面积内第n类用地占单位面积的比率;N表示单位面积土地利用类型的总数目。In the formula, W is the value of landscape disorder, X n represents the ratio of the nth type of land in the unit area to the unit area; N represents the total number of land use types in the unit area.

S120,根据POI数据对城市的核密度进行评估,获得城市的POI核密度。S120. Evaluate the city's kernel density according to the POI data to obtain the city's POI kernel density.

示例性地,S120具体包括:利用核密度评估工具对POI数据进行评估,获得POI核密度。Exemplarily, S120 specifically includes: using a kernel density evaluation tool to evaluate the POI data to obtain the POI kernel density.

核密度分析常用于评估点或线要素邻域的密度值,模拟要素的空间分布态势,广泛应用于地理空间分析研究中。其主要原理是在一定带宽范围内,要素的估算密度随距离的增大而减小,要素中心位置核密度最高,带宽边缘处为0。核密度分析遵循空间相关性定律,距离越近的地物相关性越大,POI数据同样符合这一定律。POI核密度的公式如下:Kernel density analysis is often used to evaluate the density value of the neighborhood of point or line features, and to simulate the spatial distribution of features, which is widely used in geospatial analysis research. The main principle is that within a certain bandwidth range, the estimated density of elements decreases with the increase of distance, the kernel density is the highest at the center of the element, and 0 at the edge of the bandwidth. Kernel density analysis follows the law of spatial correlation, and the closer the distance is, the greater the correlation is, and the POI data also conforms to this law. The formula for POI kernel density is as follows:

Figure SMS_3
Figure SMS_3

式中,λ(s)是计算第s个区域处的POI核密度,r为核密度函数设定的带宽,n’为所有参与计算的要素总量,dls是POI点l与s处的距离值,

Figure SMS_4
为距离的权重。In the formula, λ (s) is the calculation of the POI kernel density at the sth area, r is the bandwidth set by the kernel density function, n' is the total amount of all elements involved in the calculation, d ls is the POI point l and s distance value,
Figure SMS_4
is the distance weight.

进一步地,在利用核密度评估工具对POI数据进行评估之前,还对POI数据进行预处理。该预处理包括对POI数据进行过滤和重投影。Further, before using the kernel density evaluation tool to evaluate the POI data, the POI data is also preprocessed. This preprocessing includes filtering and reprojecting the POI data.

S130,根据灯光影像确定城市的夜间灯光强度。S130. Determine the night light intensity of the city according to the light image.

示例性地,S130具体包括:确定灯光影像中每个影像的DN(Digital Number)值,获得夜间灯光强度。Exemplarily, S130 specifically includes: determining a DN (Digital Number) value of each image in the light image to obtain the light intensity at night.

同样地,在确定灯光影像中每个影像的DN值之前,还对灯光影像进行预处理,该预处理包括对NPP/VIIRS数据进行重投影、去噪和裁剪处理。Likewise, before determining the DN value of each image in the light image, the light image is also preprocessed, which includes reprojection, denoising and cropping of the NPP/VIIRS data.

S140,确定景观紊乱度、POI核密度和夜间灯光强度分别对人口数据的单一解释力程度。S140, determining the degree of single explanatory power of the landscape disorder degree, POI kernel density and night light intensity to the population data respectively.

示例性地,S140具体包括:利用地理探测器的分异及因子探测确定景观紊乱度、POI核密度和夜间灯光强度分别对人口数据的单一解释力程度。Exemplarily, S140 specifically includes: using the differentiation and factor detection of the geographical detector to determine the degree of single explanatory power of the landscape disorder degree, POI kernel density and nighttime light intensity to the population data.

地理探测器是探测空间分异性,解释其背后驱动力的一组统计学方法,包含分异及因子探测、交互作用探测、风险区探测和生态探测。地理探测器的主要原理是假设研究区分为若干子区域,如果子区域的方差之和小于区域总方差,则存在空间分异性;如果两变量的空间分布趋于一致,则两者存在统计关联性。地理探测器可以评估空间分异性、探测解释因子、分析变量之间交互关系,已广泛应用于自然、环境科学、人类健康等领域。分异及因子探测是探测属性Y的空间分异性和某因子X对属性Y的解释力,用q值度量。人口数据中的人口密度与城市发展密切相关,本申请根据景观紊乱度、POI核密度、夜间灯光强度对人口数据的解释力程度确定各因子权重。q的公式为:Geographic detectors are a set of statistical methods to detect spatial variability and explain the driving forces behind it, including differentiation and factor detection, interaction detection, risk area detection and ecological detection. The main principle of the geographic detector is to assume that the research area is divided into several sub-regions. If the sum of the variances of the sub-regions is less than the total variance of the region, there is spatial differentiation; if the spatial distribution of the two variables tends to be consistent, there is a statistical correlation between the two . Geographic detectors can assess spatial variability, detect explanatory factors, and analyze the interaction between variables, and have been widely used in fields such as nature, environmental science, and human health. Differentiation and factor detection is to detect the spatial differentiation of attribute Y and the explanatory power of a certain factor X to attribute Y, which is measured by q value. Population density in population data is closely related to urban development. This application determines the weight of each factor according to the explanatory power of landscape disorder, POI kernel density, and night light intensity to population data. The formula for q is:

Figure SMS_5
Figure SMS_5

Figure SMS_6
Figure SMS_6

式中:L为人口数据Y或景观紊乱度、POI核密度、夜间灯光强度X的分层,即分类或分区;Nh和N’分别为第h层和全区的单元数,σh 2和σ2分别是第h层和全区的人口数据Y的方差,SSW和SST分别为层内方差之和和全区方差之和。In the formula: L is the stratification of population data Y or landscape disorder, POI kernel density, and night light intensity X, that is, classification or partition; N h and N' are the number of units in the h-th layer and the whole area, respectively, σ h 2 and σ 2 are the variance of the population data Y of the h-th layer and the whole area, respectively, and SSW and SST are the sum of the variance within the layer and the sum of the variance of the whole area, respectively.

S150,根据单一解释力程度占解释力程度总和的比例确定景观紊乱度、POI核密度和夜间灯光强度的权重。S150. Determine the weights of landscape disorder, POI kernel density, and night light intensity according to the ratio of a single explanatory power degree to the total explanatory power degree.

S160,根据权重确定城市中各个区域的综合指数。S160. Determine the comprehensive index of each region in the city according to the weight.

示例性地,可以采用景观紊乱度、POI核密度、夜间灯光强度以及相应权重的加权和作为综合指数。Exemplarily, the weighted sum of landscape disorder degree, POI kernel density, night light intensity and corresponding weights may be used as the comprehensive index.

S170,根据综合指数将城市的各个区域划分为多个类别,其中包括城市边缘区。S170, according to the comprehensive index, the various areas of the city are divided into categories, including the urban fringe area.

示例性地,可以采用自然断点法将城市的各个区域划分为多个类别,本申请包括三个类别,分别为城市核心区、城市边缘区和农村腹地。Exemplarily, the natural break point method can be used to divide various areas of the city into multiple categories, and this application includes three categories, namely urban core area, urban fringe area and rural hinterland.

自然断点法是一种地图分级算法,其将数据分为两组,即二值自然断点。自然断点法认为任何数列之间均存在一些自然的转折点和断点,可通过这些转折点和断点把研究对象分成性质相似的群组。该算法主要原理是对各数值进行聚类,聚类结束的条件是组间方差最大、组内方差最小。自然断点法实现的过程总共分为三步:Natural Breaks is a map binning algorithm that divides the data into two groups, binary natural breaks. The natural breakpoint method believes that there are some natural turning points and breakpoints between any sequence, and the research objects can be divided into groups with similar properties through these turning points and breakpoints. The main principle of the algorithm is to cluster each value, and the condition for the end of clustering is that the variance between groups is the largest and the variance within the group is the smallest. The process of realizing the natural breakpoint method is divided into three steps:

(1)计算数组平均值的偏差平方和SDAM:(1) Calculate the sum of squared deviations SDAM of the array mean:

Figure SMS_7
Figure SMS_7

SDAM为数组平均值的偏差平方和,

Figure SMS_8
为数组平均值。SDAM is the sum of squared deviations from the mean of the array,
Figure SMS_8
is the average of the array.

(2)对于每个范围内的区域,计算类别平均值的平方偏差之和SDCM,并找到最小的一个。(2) For each region within the range, compute the sum of squared deviations SDCM from the class mean and find the smallest one.

(3)计算方差拟合优度GVF:(3) Calculate the variance goodness-of-fit GVF:

GVF=(SDAM-SDCM)/SDAMGVF=(SDAM-SDCM)/SDAM

GVF的值在0-1之间,1表示拟合极好,0表示拟合极差。方差拟合优度是为了验证其分类结果是否达到了类内差异最小、类间差异最大的分组目的。The value of GVF is between 0 and 1, with 1 indicating an excellent fit and 0 indicating an extremely poor fit. The variance goodness of fit is to verify whether the classification results achieve the grouping purpose of the smallest intra-class difference and the largest inter-class difference.

在根据综合指数将城市的各个区域划分为多个类别之后,本申请还对类别划分后得到的栅格图像进行栅格转矢量和平滑处理,获得城市边缘区范围。After dividing each area of the city into multiple categories according to the comprehensive index, this application also performs raster conversion and smoothing on the raster image obtained after the category division to obtain the range of the urban fringe area.

实验说明Experiment Description

研究区概况。汉台区位于陕西省西南部汉中盆地中心,南依汉江,北偎秦岭。汉台区地势北高南低,北部属秦岭南坡山地,海拔700~2000米,占总面积34%;中部为丘陵地带,海拔541~700米,占总面积28%;南部为汉江冲积平原,占总面积38%。汉台区是陕南最大商品集散地,是秦岭和巴山的核心区域,具有重要的经济和生态价值。由于汉台区的城镇建设主要集中于南部,本申请以南部8个镇的行政边界组成研究区。D. Hantai District is located in the center of the Hanzhong Basin in the southwest of Shaanxi Province, with the Han River in the south and the Qinling Mountains in the north. The terrain of Hantai District is higher in the north and lower in the south. The northern part belongs to the southern slope of Qinling Mountains, with an altitude of 700-2000 meters, accounting for 34% of the total area; the central part is hilly area, with an altitude of 541-700 meters, accounting for 28% of the total area; the south is the alluvial plain of the Han River , accounting for 38% of the total area. Hantai District is the largest commodity distribution center in southern Shaanxi, and is the core area of Qinling and Bashan, with important economic and ecological value. Since the urban construction of Hantai District is mainly concentrated in the south, this application uses the administrative boundaries of 8 towns in the south to form the research area.

结果与分析。景观紊乱度阈值法结果:基于研究区预处理后的GF-2遥感影像,利用面向对象的SVM分类方法将土地利用分为植被(耕地、林地、草地)、建设用地、水体和未利用土地四类,图2中(a)。从图中可以看出,建设用地主要分布在研究区中部和南部,水体沿着南部边界分布,未利用土地主要分布在北部,植被主要分布在西北、东北和东南部。经统计,研究区植被面积为80.34km2,建设用地面积为60.83km2,水体面积为6.95km2,未利用土地面积为3.31km2results and analysis. The results of landscape disorder threshold method: Based on the preprocessed GF-2 remote sensing images in the study area, the object-oriented SVM classification method is used to divide the land use into vegetation (cultivated land, woodland, grassland), construction land, water body and unused land. class, Figure 2(a). It can be seen from the figure that the construction land is mainly distributed in the middle and south of the study area, the water body is distributed along the southern boundary, the unused land is mainly distributed in the north, and the vegetation is mainly distributed in the northwest, northeast and southeast. According to statistics, the vegetation area in the study area is 80.34km 2 , the construction land area is 60.83km 2 , the water body area is 6.95km 2 , and the unused land area is 3.31km 2 .

为了突出研究区景观紊乱度的圈层结构,构建100m×100m的格网作为空间计算尺度单位,利用ArcGIS 10.3软件计算单元格网内植被、建设用地、水体和未利用土地所占面积比,最终计算研究区景观紊乱度,图2中(b)。从图中可以看出,城市核心区的景观结构特征突出,景观紊乱度较低,存在集中连片的低值区域。经过反复实验,以阈值小于0.46作为识别城市核心区的标志。但当城市核心区存在较大范围的绿地时,景观紊乱较高,景观紊乱度阈值法不能识别出完整的城市核心区。城市边缘区与农村景观紊乱度之间差异不明显,景观紊乱度均较高。与大城市不同,中小城市的人口较少,村落较小,并且研究区地处汉中平原,村落比较聚集,耕地较为分散,从而导致了城市边缘区与农村间的景观紊乱度较高。虽然景观紊乱度阈值法在大城市边缘区的识别中有广泛的应用,但在研究区城市边缘区识别的过程中,单因子阈值法普遍存在的结果不连续、细节性不足、通用性差等缺点被明显放大。因此,景观紊乱度阈值法不适用于中小城市边缘区的识别。In order to highlight the circle structure of landscape disorder in the study area, a 100m×100m grid was constructed as the spatial calculation scale unit, and ArcGIS 10.3 software was used to calculate the area ratio of vegetation, construction land, water body and unused land in the grid, and finally Calculate the landscape disorder degree in the study area, Fig. 2 (b). It can be seen from the figure that the landscape structure features of the urban core area are prominent, the landscape disorder is low, and there are concentrated and contiguous low-value areas. After repeated experiments, the threshold value less than 0.46 is used as a sign to identify the urban core area. However, when there is a large area of green space in the urban core area, the landscape disorder is high, and the landscape disorder threshold method cannot identify the complete urban core area. There is no obvious difference between the urban fringe area and the rural landscape disorder, and the landscape disorder is relatively high. Different from large cities, small and medium-sized cities have a small population and small villages, and the study area is located in the Hanzhong Plain, where the villages are relatively concentrated and the cultivated land is relatively scattered, resulting in a high degree of landscape disorder between the urban fringe area and the countryside. Although the landscape disorder threshold method is widely used in the identification of the fringe areas of large cities, in the process of identifying the fringe areas of the study area, the single-factor threshold method generally has the disadvantages of discontinuous results, insufficient details, and poor versatility. was significantly enlarged. Therefore, the landscape disorder threshold method is not suitable for the identification of small and medium urban fringe areas.

POI核密度断点分析法结果:基于研究区预处理后的POI数据,利用ArcGIS10.3的Kernel Density工具计算POI核密度。核密度分析中的带宽对结果有至关重要的影响,在参考了现有的研究成果后,分别选取500m、1000m和1500m进行核密度分析,结果如图3中(a)-(c)所示。从图中可以看出,当带宽为500m时,核密度分析结果较为细碎、不连续,城市POI的整体分布态势不明显;当带宽为1500m时,城市POI整体分布态势的局部特征难以显现,细节性不足;当带宽为1000m时,核密度分析结果具有较好的稳定性,同时整体分布态势明显,可以满足研究区城市边缘区的分析需要。Results of POI kernel density breakpoint analysis method: Based on the preprocessed POI data in the study area, the Kernel Density tool of ArcGIS10.3 was used to calculate the POI kernel density. The bandwidth in kernel density analysis has a crucial impact on the results. After referring to the existing research results, 500m, 1000m and 1500m were respectively selected for kernel density analysis. The results are shown in (a)-(c) in Figure 3 Show. It can be seen from the figure that when the bandwidth is 500m, the results of kernel density analysis are fragmented and discontinuous, and the overall distribution of urban POIs is not obvious; When the bandwidth is 1000m, the kernel density analysis results have good stability, and the overall distribution trend is obvious, which can meet the analysis needs of the urban fringe area in the study area.

图3中(d)是利用自然断点法将研究区带宽为1000m的POI核密度分成三类的结果。结合图3中(b)、(d)可以看出,研究区呈现出明显的圈层结构分布,城市核心区分布有大面积连续的高密度区域,城市边缘区密度较低,大部分农村区域的密度接近于0。相比于景观紊乱度阈值法,POI核密度的分析结果能比较清晰完整的识别出城市核心区,但二者对城市边缘区的识别结果均不理想。POI核密度断点分析法会将部分发展较好、POI数量较多的乡村识别为城市边缘区,同时城市边缘区处于发展阶段,POI数据少且更新速度慢,从而导致结果与实际城市边缘区存在较大的误差。不同于大城市,中小城市边缘区的POI数据完整度较低且更新慢,单因子的POI核密度断点分析法难以实现研究区城市边缘区的精确提取。Figure 3(d) is the result of dividing the POI kernel density with a bandwidth of 1000m in the study area into three categories by using the natural breakpoint method. Combined with (b) and (d) in Figure 3, it can be seen that the study area presents an obvious distribution of circle structure, the urban core area has a large area of continuous high-density areas, the density of urban fringe areas is low, and most rural areas The density is close to 0. Compared with the landscape disorder threshold method, the analysis results of POI kernel density can clearly and completely identify the urban core area, but the identification results of the two methods for the urban fringe area are not ideal. The POI kernel density breakpoint analysis method will identify some well-developed villages with a large number of POIs as urban fringe areas. At the same time, the urban fringe area is in the development stage, with few POI data and slow update speed, resulting in results that are different from the actual urban fringe area. There are large errors. Different from large cities, POI data in the fringe areas of small and medium-sized cities have low integrity and slow update, and the single-factor POI kernel density breakpoint analysis method is difficult to accurately extract the fringe areas of the study area.

中小城市边缘区提取模型结果:基于中小城市边缘区提取模型,首先计算出研究区的景观紊乱度、POI核密度和夜间灯光强度;然后结合地理探测器和Woldpop数据确定各因子的权重(景观紊乱度:0.10,POI核密度:0.51,夜间灯光强度:0.39),以此构建综合指数;最终利用自然断点法识别城市边缘区,并对结果进行后处理。图4中(a)为利用自然断点法将综合指数分成三类的结果;图4中(b)为中小城市边缘区提取模型的最终结果。从图中可以看出,中小城市边缘区提取模型能比较准确且完整地识别出研究区城市边缘边界。研究区的城市边缘区主要集中在北部和东部,面积约为39km2。相比于单因子的景观紊乱度阈值法和POI核密度断点分析法,中小城市边缘区提取模型的性能有了很大的提升,尤其是城市边缘区外边界的结果。本申请中的模型和POI核密度断点分析法提取出的城市边缘区内边界(城市核心区)的总体格局较为一致,但相比之下前者的细节性更强。两者结果的差异主要集中在研究区西南部,主要由于西南部为汉江新区,尚处于快速开发阶段,景观格局变化较快,POI数据更新较慢,因此,POI核密度断点分析法提取的城市边缘区的内边界与实际边界存在误差。本申请的模型注重区域景观紊乱度、POI核密度以及夜间灯光强度的综合表现,对单个因子的表现依赖较小,因此,能比较准确地识别出城市边缘区的范围。The results of the extraction model for the fringe areas of small and medium-sized cities: based on the extraction model for the fringe areas of small and medium-sized cities, the landscape disorder degree, POI kernel density, and night light intensity of the study area are first calculated; then the weight of each factor (landscape disorder degree: 0.10, POI kernel density: 0.51, nighttime light intensity: 0.39) to build a comprehensive index; finally use the natural breakpoint method to identify the urban fringe area, and post-process the results. Figure 4 (a) is the result of dividing the comprehensive index into three categories by using the natural breakpoint method; Figure 4 (b) is the final result of the extraction model of the fringe area of small and medium cities. It can be seen from the figure that the extraction model of small and medium urban fringe areas can accurately and completely identify the urban fringe boundary of the study area. The urban fringes of the study area are mainly concentrated in the north and east, with an area of about 39km 2 . Compared with the single-factor landscape disorder threshold method and POI kernel density breakpoint analysis method, the performance of the small and medium-sized urban fringe extraction model has been greatly improved, especially the results of the outer boundary of the urban fringe. The model in this application is relatively consistent with the overall pattern of the inner boundary of the urban fringe (urban core area) extracted by the POI kernel density breakpoint analysis method, but the former is more detailed in comparison. The difference between the two results is mainly concentrated in the southwest of the study area, mainly because the southwest is the Hanjiang New Area, which is still in the stage of rapid development, the landscape pattern changes rapidly, and the update of POI data is slow. Therefore, the POI kernel density breakpoint analysis method extracts There is a discrepancy between the inner boundary of the urban fringe area and the actual boundary. The model of this application focuses on the comprehensive performance of regional landscape disorder, POI kernel density, and night light intensity, and is less dependent on the performance of a single factor. Therefore, it can more accurately identify the range of urban fringe areas.

模型精度评价:由于景观紊乱度阈值法难以识别出研究区城市边缘区的范围,本申请只评价POI核密度断点分析法和中小城市边缘区提取模型的精度。通过详细的目视分析发现,中小城市边缘区提取模型在细节性、完整性方面明显强于POI核密度断点分析法。为了进一步评估不同方法的提取精度,本申请采用了野外实地核查和景观格局指数评估两种方法。野外实地核查是在城市边缘区周围沿道路边均匀选取100个样本点,图4中(b),通过实地验证的方式分析提取结果的精度,如表2所示。从表中可以看出,中小城市边缘区提取模型的总体精度明显高于POI核密度断点分析法,达到了98%。POI核密度断点分析法的误提数较多,总体精度仅为67%。Evaluation of model accuracy: Since it is difficult to identify the range of urban fringe areas in the study area by the landscape disorder threshold method, this application only evaluates the accuracy of the POI kernel density breakpoint analysis method and the extraction model of small and medium urban fringe areas. Through detailed visual analysis, it is found that the extraction model of the fringe area of small and medium-sized cities is obviously stronger than the POI kernel density breakpoint analysis method in terms of detail and integrity. In order to further evaluate the extraction accuracy of different methods, this application uses two methods of field inspection and landscape pattern index evaluation. Field verification is to uniformly select 100 sample points along the roadside around the urban fringe area. In Figure 4 (b), the accuracy of the extraction results is analyzed through field verification, as shown in Table 2. It can be seen from the table that the overall accuracy of the extraction model for small and medium urban fringe areas is significantly higher than that of the POI kernel density breakpoint analysis method, reaching 98%. The POI kernel density breakpoint analysis method has a large number of false extractions, and the overall accuracy is only 67%.

表2不同方法提取精度Table 2 Extraction accuracy of different methods

Figure SMS_9
Figure SMS_9

景观格局指数常用来评估城市边缘区的提取精度,选取斑块密度(PD)和香农多样性指数(SHDI)从等级和景观水平评估两种方法的精度。PD表示景观的破碎化程度,SHDI表示景观类型的丰富性和复杂性程度。通常城市边缘区的PD和SHDI较高,城市中心和农村的较低。表3是基于Fragstats 4.2软件计算的两种方法在不同区域的PD和SHDI值。从表中可以看出,在城市边缘区,中小城市边缘区提取模型的PD和SHDI值明显高于POI核密度断点分析法,这表明了前者提取的城市边缘区内的景观破碎化、复杂性和多样性程度均高于后者,更能体现城市边缘区的特征。在农村腹地,中小城市边缘区提取模型的PD和SHDI值明显低于POI核密度断点分析法,而在城市核心区,由于两种方法提取的边界差异较小,因此PD和SHDI值近似。综合,本申请提出的模型拥有较高的精度,能实现研究区城市边缘区的精确提取。The landscape pattern index is often used to evaluate the extraction accuracy of urban fringe areas, and the patch density (PD) and Shannon diversity index (SHDI) are selected to evaluate the accuracy of the two methods from the level and landscape level. PD represents the degree of fragmentation of the landscape, and SHDI represents the degree of richness and complexity of the landscape type. PD and SHDI are generally higher in urban fringe areas and lower in urban centers and rural areas. Table 3 is the PD and SHDI values of the two methods in different regions calculated based on Fragstats 4.2 software. It can be seen from the table that in the urban fringe area, the PD and SHDI values of the small and medium-sized urban fringe area extraction model are significantly higher than those of the POI kernel density break point analysis method, which indicates that the landscape in the urban fringe area extracted by the former is fragmented and complex. The degree of sex and diversity is higher than the latter, which can better reflect the characteristics of the urban fringe area. In the rural hinterland, the PD and SHDI values of the small and medium-sized urban fringe area extraction model are significantly lower than those of the POI kernel density breakpoint analysis method, while in the urban core area, the PD and SHDI values are similar due to the small difference in the boundaries extracted by the two methods. In general, the model proposed in this application has high precision and can realize the precise extraction of urban fringe areas in the research area.

表3不同区域的PD和SHDI值Table 3 PD and SHDI values in different regions

Figure SMS_10
Figure SMS_10

模型通用性分析:为了进一步验证本申请提出的模型在不同地区、不同类型中小城市的适用性,分别在商洛市商州区和安康市汉滨区进行了城市边缘区识别。商州区属于典型的带状城市结构,受资源条件限制明显。从图5中(a)看出,POI核密度断点分析法对商州区城市边缘区提取结果不完整,主要集中在东南部。其主要原因是东南部为工业园区,POI数量少且分散,不足以支撑城市边缘区的识别。汉滨区被汉江从中间分开,东南部主要为老城区,西北部为新城区,属于多中心城市结构。从图5中(b)可以看出,POI核密度断点分析法对汉滨区的城市边缘区提取结果较差,尤其是东南部老城区。其主要因为单因子方法提取多中心城市边缘区时对数据质量要求极高,而老城区的发展较为落后,人口分布集中,POI数据不够完整。相比之下,中小城市边缘区提取模型可以准确、完整地提取出两个地区的城市边缘区。模型根据区域景观紊乱度、POI核密度和夜间灯光强度的综合表现差异识别城市边缘区,对单因子的表现依赖较小,能够适应不同地区、不同类型的中小城市。Model versatility analysis: In order to further verify the applicability of the model proposed in this application in different regions and different types of small and medium-sized cities, urban fringe areas were identified in Shangzhou District of Shangluo City and Hanbin District of Ankang City. Shangzhou District belongs to a typical belt-shaped urban structure, which is obviously restricted by resource conditions. It can be seen from (a) in Figure 5 that the POI kernel density breakpoint analysis method is incomplete for the extraction results of the urban fringe area of Shangzhou District, mainly concentrated in the southeast. The main reason is that the southeast is an industrial park, and the number of POIs is small and scattered, which is not enough to support the identification of urban fringe areas. Hanbin District is separated from the middle by the Han River, with the old city in the southeast and the new city in the northwest, belonging to a polycentric urban structure. It can be seen from (b) in Figure 5 that the POI kernel density breakpoint analysis method has poor extraction results for the urban fringe area of Hanbin District, especially for the old city in the southeast. The main reason is that the single-factor method requires extremely high data quality when extracting the fringe areas of polycentric cities, while the development of the old urban areas is relatively backward, the population distribution is concentrated, and the POI data is not complete. In contrast, the small and medium urban fringe area extraction model can accurately and completely extract the urban fringe areas of the two regions. The model identifies urban fringe areas based on the comprehensive performance differences of regional landscape disorder, POI kernel density, and night light intensity. It is less dependent on the performance of a single factor and can adapt to different regions and different types of small and medium-sized cities.

尽管已描述了本申请的优选实施例,但本领域内的技术人员一旦得知了基本创造性概念,则可对这些实施例做出另外的变更和修改。所以,所附权利要求意欲解释为包括优选实施例以及落入本申请范围的所有变更和修改。While preferred embodiments of the present application have been described, additional changes and modifications to these embodiments can be made by those skilled in the art once the basic inventive concept is appreciated. Therefore, the appended claims are intended to be construed to cover the preferred embodiment and all changes and modifications which fall within the scope of the application.

显然,本领域的技术人员可以对本申请进行各种改动和变型而不脱离本申请的精神和范围。这样,倘若本申请的这些修改和变型属于本申请权利要求及其等同技术的范围之内,则本申请也意图包含这些改动和变型在内。Obviously, those skilled in the art can make various changes and modifications to the application without departing from the spirit and scope of the application. In this way, if these modifications and variations of the present application fall within the scope of the claims of the present application and their equivalent technologies, the present application is also intended to include these modifications and variations.

Claims (8)

1. The method for extracting the edge region of the medium and small cities based on the multi-source data is characterized by comprising the following steps of:
acquiring remote sensing images, POI data, lamplight images and population data of cities;
land utilization classification is carried out on the remote sensing images, and the landscape disorder degree of the city is obtained;
evaluating the nuclear density of the city according to the POI data to obtain the POI nuclear density of the city;
determining the night light intensity of the city according to the light image;
determining single explanatory degrees of the view disorder degree, the POI nuclear density and the night light intensity on the population data respectively;
determining the weight of the landscape disorder degree, the POI nuclear density and the night light intensity according to the proportion of the single interpretation effort degree to the sum of the interpretation effort degrees;
determining the comprehensive index of each region in the city according to the weight;
and dividing each region of the city into a plurality of categories according to the comprehensive index, wherein the categories comprise city edge regions.
2. The method for extracting the border region of the medium and small cities based on the multi-source data according to claim 1, wherein the step of classifying the land utilization of the remote sensing image to obtain the landscape disorder of the cities comprises the following steps:
performing land utilization classification on the remote sensing images by using an object-oriented SVM classification method;
and determining the landscape disorder degree according to the land utilization type.
3. The method for extracting border areas of small and medium cities based on multi-source data according to claim 2, wherein before land utilization classification is performed on the remote sensing images by using an object-oriented SVM classification method, the method further comprises:
and preprocessing the remote sensing image.
4. The method for extracting border areas of small and medium cities based on multi-source data according to claim 1, wherein the step of evaluating the nuclear density of the cities according to the POI data to obtain the POI nuclear density of the cities comprises the following steps:
and evaluating the POI data by using a nuclear density evaluation tool to obtain the POI nuclear density.
5. The method for extracting a border region of a medium and small city based on multi-source data according to claim 4, further comprising, prior to evaluating the POI data using a nuclear density evaluation tool:
and preprocessing the POI data.
6. The method for extracting border areas of small and medium cities based on multi-source data as set forth in claim 1, wherein the determining the night light intensity of the cities according to the light images includes:
and determining DN value of each image in the lamplight images to obtain the night lamplight intensity.
7. The method for extracting border areas of small and medium cities based on multi-source data as set forth in claim 1, wherein said determining a single degree of interpretation of said demographic data by said degree of landscape turbulence, POI kernel density and night light intensity, respectively, comprises:
and determining the single explanatory degree of the landscape disorder degree, the POI nuclear density and the night light intensity on the population data respectively by utilizing the difference and factor detection of the geographic detector.
8. The method for extracting border areas of small and medium cities based on multi-source data as set forth in claim 1, further comprising, after dividing each area of the cities into a plurality of categories according to the composite index:
and carrying out grid conversion vector and smoothing on the grid images obtained after category division to obtain the range of the urban border area.
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CN116645012A (en) * 2023-07-27 2023-08-25 河北工业大学 High-precision dynamic identification method for spatial range of urban border area
CN117710746A (en) * 2023-12-22 2024-03-15 中国科学院地理科学与资源研究所 Multi-scale landscape function main body type identification method integrating open geographic data
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CN116645012A (en) * 2023-07-27 2023-08-25 河北工业大学 High-precision dynamic identification method for spatial range of urban border area
CN116645012B (en) * 2023-07-27 2023-10-10 河北工业大学 High-precision dynamic identification method for spatial range of urban border area
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