# An Urban Design Engineering Management Model Based on Data Analysis and Landscape Urbanism

Authors: Jingliang Li; Wei Zhang; Xiaoxiao Wang
Journal: Mathematical Problems in Engineering
 (2022)

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## Abstract

The error brought by space syntax in modeling computation and auxiliary analysis decision-making process has not been fully studied. In response to this phenomenon, this paper introduces two typical examples of digital visualization, 2D and 3D maps obtained using GIS and computer-aided design techniques, to design a multiflow system with elements interacting. By looking at flow models represented by traffic and walking, we consider how new real-time social media can be used to represent small-scale interactions at the spatial and social network levels. Watch how real-time data is sent to designers through various forms of dashboard by choosing the optimal radius, moderate model expansion range, with the aid of multisource urban data, choosing the appropriate fineness and modeling software.


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## Body

## 1. Introduction

Visualization is undoubtedly and will continue to be the dominant medium for urban design. Maps and physical models provide a lens through which design can be developed and communicated. Maps and physical models provide a lens for the development and communication of design, presenting a final design picture of the functional and artistic interconnectedness of buildings and people, and are essential to the definition of design. Currently, digital virtual representations of all types of media, auditory, visual, olfactory, and tactile, are rapidly evolving [1, 2]. In the field of urban design, the most common application is the transformation of maps, floor plans, perspective views, and other drawings previously drawn by the bare hand into digital representation [3]. Although digital technology has become quite efficient in the field of urban design compared to traditional media, it has capabilities that go far beyond simple image visualization [4]. Digital visualization can be a powerful medium for abstraction and analysis, and “visual analysis“ techniques are fast becoming the frontier of urban design development. Visual analytics go beyond the presentation of images and integrate multiple functions that define how systems of interest work, so that the visualization of a building mass or neighborhood as a design theme makes more sense [5]. In this sense, we need to define a model, that is, a set of abstract concepts that cover the core functions of the design. The best way to understand this analytical approach is to consider an urban design as a combination of multiple elements, the diversity of which is due to space, time, spatial scale, etc. [6].The core of digital visualization in urban design lies in two- and three-dimensional representations, first applied to the graphic representation of neighborhood communities and building complexes, almost simultaneously with the graphical computerization of the early 1980s [7, 8]. Currently, a suite of geographic information technologies that process building attributes as data layers is widely used. Through the proliferation of third-dimensional applications, where three-dimensional representations are marked into the data layer and made functional, new forms of analysis are acquired to mark parcel-specific analyses, while more refined renderings can be made as needed [9]. In addition to providing the usual dynamic bird's eye and height-reduced street views, these 3D models can be associated with any attribute that is relevant to the quality of urban design, such as a contaminant layer, and then a water layer that can be manipulated to simulate flooding conditions [10]. Once an urban attribute has been modeled in digital form, its 3D analysis will become simple and straightforward, and importing the 3D scene into a virtual world that can be accessed online will become “routine“ [11].In the rapid urbanization stage, the spatial issues in urban development are getting more and more attention, but in the past, urban design, both in terms of socioeconomic and physical forms, often lacked quantitative analysis methods based on quantitative spatial statistics [12]. Since Professor Hillier and his team proposed the Space Syntax theory in 1970s, it has been widely used in the fields of urban morphology and urban spatial structure analysis, historical district, and old city planning and renovation. Reference [13] argues that, in the analysis of space syntax, each city is considered as an independent and unique object, and therefore previous experiences and laws may not be adapted to a specific city; [14] tests the applicability of the principle of natural travel of space syntax in the Chinese context and argues that more localized tests of space syntax are urgently needed.In urban spatial research and planning work, detailed and clear technical operation processes and frameworks about spatial syntax model calibration are often more instructive for planners; however, most of the existing literature stays at the theoretical level to elaborate the problems in spatial syntax model construction, with less attention to the specific technical details and processes of model calibration [15]. In the era of big data, multisource urban data provide new means and methods for spatial syntactic model calibration. Based on this, this paper takes the road networks of some cities in the Pearl River Delta (Guangzhou, Huizhou, Jiangmen, Zhongshan, Zhuhai, and Zhaoqing) and the national road traffic network in 2017 as an example by relying on data source websites such as the National Basic Geographic Information Database and combining POI data, heat map data, and public reviews that can reflect the city functions and traffic conditions, and on the basis of elaborating the theoretical basis of spatial syntax model calibration [16]. On the basis of the theoretical basis of spatial syntax model calibration, we identify the error sources of spatial syntax, discuss the technical details of spatial syntax model calibration in urban design, and provide an outlook for future data-driven urban design based on spatial syntax [17].This paper presents two typical examples of digital visualization, namely, two-dimensional and three-dimensional maps obtained using GIS and computer-aided design techniques, to design multiflow systems with elements interacting by choosing the optimal radius, moderate model expansion range, with the aid of multisource urban data, choosing the appropriate fineness and modeling software.


## 2. Related Work

In the context of globalization and urbanization, landscape urbanism has emerged. Landscape urbanism views architecture and infrastructure as a continuation of the development of the landscape and studies them from a deeper perspective, not only understanding the landscape as green plants and garden structures, but also emphasizing that the landscape, rather than architecture, is more capable of determining the form and experience of the city [18]. This view is a rediscovery of landscape and landscape design, bringing the discipline of landscape from behind the scenes to the forefront of the curtain, and more interestingly, the theory of landscape urbanism is promoted by some architects and designers with architectural backgrounds. The current research and application of the theory abroad are still more theoretical, and there are many successful practice cases. “Urbanism Reader” marked the emergence of this new field with its own album of ideas, and the theory is a landmark in the development of landscape architecture today. The AA School of Architecture in London has offered a master's degree in Landscape Urbanism, and James Comer, head of the landscape department at the University of Pennsylvania and founder of Field Operation, has become an internationally renowned landscape architect for his work on landscape urbanism and landscape urbanism-related design [19].From Olmsted's Central Park in New York City to James Corner's current work, they believe that landscape is also a kind of culture, and reviving landscape is one of the important ways to revive culture. James Corner, as the main theorist of landscape urbanism, has also published a series of academic papers and books to explain his understanding of landscape urbanism, such as “Landscape Urbanism,” “On the Revival of Contemporary Landscape Architecture,” “Topographic Flows,” and many other related works [20]. In recent years, there are also many practical case works to demonstrate the feasibility of landscape urbanism, and the strategies of landscape urbanism adopted in the restoration of industrial wastelands abroad as well as in the open spaces of the re-city parks studied in this paper. Examples include the elevated railroad park in New York, the Los Angeles Riverwalk renovation, the Rotterdam Theater Plaza in the Netherlands, and Downsview Park in Canada.


### 2.1. Theoretical Basis of Spatial Syntax Model Calibration

#### 2.1.1. The Consistency of Spatial Syntax and Urban Design

The core of urban design is to understand the spatial problems in the city, and to design and reorganize the urban space to improve the quality of life of urban residents, enhance the vitality of the city, and ease the traffic. The core of spatial syntax is the modeling of spatial relationships through spatial configuration. The theory of spatial syntax assumes that urban space is not the background of human activities, but rather, space has a great influence on the travel patterns of space users and ultimately becomes the driving force in shaping urban functions. Under the logic of spatial syntax, urban spatial structure and urban function are consistent, so by finding this correspondence, urban spatial structure can be adjusted (e.g., by encrypting the road network) to achieve the desired urban function. On the one hand, planners follow the logic of spatial syntax to reveal the laws of urban spatial structure through quantitative analysis, thus providing technical support for urban design; on the other hand, the model of spatial syntax based on human movement reflects to a certain extent the residents' cognitive laws of urban space, which meets the objective requirement of urban design to meet citizens' expectations [8]. Based on the topological law of urban space, the spatial syntax can calculate relevant parameters to digitally express urban structure, urban traffic, and urban functions. This type of center is often the basic content to be identified and expressed in the urban spatial structure representation of urban design. For example, the results of road network integration in Guangzhou based on the 50 km search radius are consistent with the spatial system of “Xinjiekou area as the center of the metropolitan area and the central area of Hexi as the subcenter” as proposed in the Guangzhou Master Plan (2007–2020) (Figure 1. The spatial syntax is consistent with the spatial understanding of urban design in theory and practice, which is the theoretical basis for the application of the spatial syntax in urban planning and design, and the premise for the calibration of the spatial syntax model.Figure 1
Comparison of urban planning and spatial syntax spatial structure analysis.


### 2.2. Urban System in General

Another reason why the spatial syntax needs model calibration is related to the nature of the spatial syntax itself; that is, the analysis of the spatial syntax revolves around the actual built space, which is a “bottom-up“ analysis method, and through the establishment and adjustment of local rules, the overall “emergence” of the system at the macro level is observed. It is experimental in nature. When researchers carry out spatial syntax analysis on a certain area, they often have to go through the process of selecting a suitable analysis model, calculation radius, analysis parameters, etc., and the above process has a great impact on the results of spatial syntax calculation, and there is a lack of clear process and technical guidelines. When using the spatial syntax to model and analyze a certain area, multiple search radii can be calculated based on empirical selection under the assumptions of various models such as axis model and line segment model, and the results can be used to assist planning and design with various parameters such as integration degree, penetration degree, and comprehensibility degree. However, in practice, researchers often rely on previous experience and substitute experimental methods for exploratory analysis, which leads to uncertainty in the final calculation results. Therefore, model calibration should be performed before using the spatial syntax method to reduce the subsequent analysis errors.


### 2.3. Landscape Urbanism Perspective of Urban Park Design Planning Principles

The landscape brings a new concept of urban park, rejecting the mediocre planning model, changing the inherent mode of thinking that urban park is a green space in the center of the city, focusing on the relationship between urban park and the surrounding regional environment, transforming the closed monolith into an open group, and redefining the nature of the land to the control of scale, so that the design becomes more flexible and delicate, conceptually different from the previous ideal of park as an urban utopia. They advocate the open space of urban park, facing the city instead of choosing to escape. As green infrastructure is fully utilized to build urban green space system to improve the urban environment, the theory is practiced and applied through the open space of the park, mainly in the comprehensive application, and the planning principles derived from the study of landscape urbanism and urban park open space are, firstly, the localization of the site, secondly, the planning tendency of large scale space, and finally, the urban park that is used as a model for research. Lastly, urban parks are used as a model to understand the essence of landscape urbanism and to discover new values and future directions of urban parks.The flowing terrain has a great sense of space and can produce different spatial effects. This huge landscape is like a flowing topographic undulating surface, using the difference between high and low to create a slope effect, and the topography becomes a flowing and visual guide, such space is collective and highly free. The spatial principles trace the connection between open spaces in urban parks, and the principle of fluidity between spaces is particularly important in an organization where open spaces in urban parks are the cornerstone. At the same time, this design approach requires high requirements for the landscape elements of the site, bringing visual freshness to people while also focusing on the feelings of users rather than just pursuing the form. It not only fully expresses the regional characteristics of the open space of the city park, but also shows the harmony between human and nature.


## 2.1. Theoretical Basis of Spatial Syntax Model Calibration

### 2.1.1. The Consistency of Spatial Syntax and Urban Design

The core of urban design is to understand the spatial problems in the city, and to design and reorganize the urban space to improve the quality of life of urban residents, enhance the vitality of the city, and ease the traffic. The core of spatial syntax is the modeling of spatial relationships through spatial configuration. The theory of spatial syntax assumes that urban space is not the background of human activities, but rather, space has a great influence on the travel patterns of space users and ultimately becomes the driving force in shaping urban functions. Under the logic of spatial syntax, urban spatial structure and urban function are consistent, so by finding this correspondence, urban spatial structure can be adjusted (e.g., by encrypting the road network) to achieve the desired urban function. On the one hand, planners follow the logic of spatial syntax to reveal the laws of urban spatial structure through quantitative analysis, thus providing technical support for urban design; on the other hand, the model of spatial syntax based on human movement reflects to a certain extent the residents' cognitive laws of urban space, which meets the objective requirement of urban design to meet citizens' expectations [8]. Based on the topological law of urban space, the spatial syntax can calculate relevant parameters to digitally express urban structure, urban traffic, and urban functions. This type of center is often the basic content to be identified and expressed in the urban spatial structure representation of urban design. For example, the results of road network integration in Guangzhou based on the 50 km search radius are consistent with the spatial system of “Xinjiekou area as the center of the metropolitan area and the central area of Hexi as the subcenter” as proposed in the Guangzhou Master Plan (2007–2020) (Figure 1. The spatial syntax is consistent with the spatial understanding of urban design in theory and practice, which is the theoretical basis for the application of the spatial syntax in urban planning and design, and the premise for the calibration of the spatial syntax model.Figure 1
Comparison of urban planning and spatial syntax spatial structure analysis.


## 2.1.1. The Consistency of Spatial Syntax and Urban Design

The core of urban design is to understand the spatial problems in the city, and to design and reorganize the urban space to improve the quality of life of urban residents, enhance the vitality of the city, and ease the traffic. The core of spatial syntax is the modeling of spatial relationships through spatial configuration. The theory of spatial syntax assumes that urban space is not the background of human activities, but rather, space has a great influence on the travel patterns of space users and ultimately becomes the driving force in shaping urban functions. Under the logic of spatial syntax, urban spatial structure and urban function are consistent, so by finding this correspondence, urban spatial structure can be adjusted (e.g., by encrypting the road network) to achieve the desired urban function. On the one hand, planners follow the logic of spatial syntax to reveal the laws of urban spatial structure through quantitative analysis, thus providing technical support for urban design; on the other hand, the model of spatial syntax based on human movement reflects to a certain extent the residents' cognitive laws of urban space, which meets the objective requirement of urban design to meet citizens' expectations [8]. Based on the topological law of urban space, the spatial syntax can calculate relevant parameters to digitally express urban structure, urban traffic, and urban functions. This type of center is often the basic content to be identified and expressed in the urban spatial structure representation of urban design. For example, the results of road network integration in Guangzhou based on the 50 km search radius are consistent with the spatial system of “Xinjiekou area as the center of the metropolitan area and the central area of Hexi as the subcenter” as proposed in the Guangzhou Master Plan (2007–2020) (Figure 1. The spatial syntax is consistent with the spatial understanding of urban design in theory and practice, which is the theoretical basis for the application of the spatial syntax in urban planning and design, and the premise for the calibration of the spatial syntax model.Figure 1
Comparison of urban planning and spatial syntax spatial structure analysis.


## 2.2. Urban System in General

Another reason why the spatial syntax needs model calibration is related to the nature of the spatial syntax itself; that is, the analysis of the spatial syntax revolves around the actual built space, which is a “bottom-up“ analysis method, and through the establishment and adjustment of local rules, the overall “emergence” of the system at the macro level is observed. It is experimental in nature. When researchers carry out spatial syntax analysis on a certain area, they often have to go through the process of selecting a suitable analysis model, calculation radius, analysis parameters, etc., and the above process has a great impact on the results of spatial syntax calculation, and there is a lack of clear process and technical guidelines. When using the spatial syntax to model and analyze a certain area, multiple search radii can be calculated based on empirical selection under the assumptions of various models such as axis model and line segment model, and the results can be used to assist planning and design with various parameters such as integration degree, penetration degree, and comprehensibility degree. However, in practice, researchers often rely on previous experience and substitute experimental methods for exploratory analysis, which leads to uncertainty in the final calculation results. Therefore, model calibration should be performed before using the spatial syntax method to reduce the subsequent analysis errors.


## 2.3. Landscape Urbanism Perspective of Urban Park Design Planning Principles

The landscape brings a new concept of urban park, rejecting the mediocre planning model, changing the inherent mode of thinking that urban park is a green space in the center of the city, focusing on the relationship between urban park and the surrounding regional environment, transforming the closed monolith into an open group, and redefining the nature of the land to the control of scale, so that the design becomes more flexible and delicate, conceptually different from the previous ideal of park as an urban utopia. They advocate the open space of urban park, facing the city instead of choosing to escape. As green infrastructure is fully utilized to build urban green space system to improve the urban environment, the theory is practiced and applied through the open space of the park, mainly in the comprehensive application, and the planning principles derived from the study of landscape urbanism and urban park open space are, firstly, the localization of the site, secondly, the planning tendency of large scale space, and finally, the urban park that is used as a model for research. Lastly, urban parks are used as a model to understand the essence of landscape urbanism and to discover new values and future directions of urban parks.The flowing terrain has a great sense of space and can produce different spatial effects. This huge landscape is like a flowing topographic undulating surface, using the difference between high and low to create a slope effect, and the topography becomes a flowing and visual guide, such space is collective and highly free. The spatial principles trace the connection between open spaces in urban parks, and the principle of fluidity between spaces is particularly important in an organization where open spaces in urban parks are the cornerstone. At the same time, this design approach requires high requirements for the landscape elements of the site, bringing visual freshness to people while also focusing on the feelings of users rather than just pursuing the form. It not only fully expresses the regional characteristics of the open space of the city park, but also shows the harmony between human and nature.


## 3. Sources of Error in Spatial Syntactic Models

### 3.1. Search Radius Error

According to the theory of spatial syntax, the characteristics of a certain space depend on other spatial characteristics connected to it within a certain range, and the search radius is an important variable to measure the “range.” Search radius can reflect the travel and cognitive characteristics of people in urban space, which provides a reference for human-oriented urban design; it can also reflect the service radius of urban functions, which can help optimize the layout of different functional nodes and improve urban vitality after knowing the service radius of these nodes. For example, the high star hotels in Guangzhou are less influenced by the road network but rely on the road network to serve a larger scope and radius, while the low star hotels show the opposite pattern. Different spatial syntax software handles the search radius in different ways. Depthmap software defines the search radius as a circular range obtained by taking the center of a road network as the center and a set threshold as the radius, ands DNA software optimizes the search radius and can calculate “continuous” and “discrete” based on the actual road network. The s DNA software optimizes the search radius to calculate both “continuous” and “discrete” search radii based on the actual road network. Although the algorithm of the search radius is constantly optimized, in the actual planning and research work, the search radius in many cases comes from the empirical parameters set by the researchers, which brings bias to the subsequent analysis results. As shown in Figure 2, the author conducted spatial syntactic modeling for Zhuhai Xiangzhou District, Huizhou Huicheng District, Jiangmen Pengjiang District, Zhongshan City, and Zhaoqing Duanzhou District based on three scales: micro (0.5 km), meso (5 km), and macro (50 km), respectively. The results show that, at the microscopic scale, none of the five districts show obvious high-value areas; at the mesoscopic scale, each district forms a certain area of high-value areas; at the macroscopic scale, the high-value network structures of the five districts can be clearly distinguished. It can be seen that the spatial syntax calculation results under different search radii are highly variable, and if the search radius is chosen arbitrarily, it is often impossible to accurately summarize the core and edge areas of each spatial syntactic parameter of the region.Figure 2
Comparison of calculation results of spatial syntax for each region on micro, meso, and macro scales.


### 3.2. Modeling Range Error

In “Space is a Machine,” Hillier discusses the boundary effect in spatial syntax calculations and argues that the principle of “including enough of the urban network in the analysis to ensure that the study section is embedded in the urban grid” should be followed. The influence of “boundary effects” is reflected in several parameters of the spatial syntax. Sections located at the modeling horizon boundaries, which are not influenced by the “outside” road network, have a larger sum of distances from most of the road network within the horizon, while sections located at the center of the study horizon have a smaller sum of distances from most of the road network. These factors are the main reason why the results of the spatial syntactic analysis tend to have an axial character. In Figure3, we calculated the results of the integration degree of each scale of the Zhaoqing-wide road network, cut out the part of Duanzhou district from it, and compared it with the results of the integration degree of each scale of Duanzhou district calculated separately. The results show that the difference between the microscopic scale of 0.5 km radius and the mesoscopic scale of 5 km radius is not significant, but at the macroscopic scale of 50 km radius, the mean and standard deviation of the modeled area increase by about 87.2% and 29.2%, respectively. It can be seen that the model parameters (especially for the parameters with large search radius) fluctuate due to the change of the modeling range. Therefore, it is necessary to weaken the influence of the modeling range on the calculation results by means of expanding the modeling range (Table 1.Figure 3
Comparison of spatial syntax calculation results of Zhaoqing City and Duanzhou District of Zhaoqing City.Table 1
Comparison of the impact of spatial syntactic model expansion or not on the integration of various scales.
Spatial syntactic parametersIs the model extendedMinimumMaximumAverageStandard deviationIntegration degree (500 m)No089.45621.03314.556Yes089.45620.89714.555Integration degree (5000 m)No3.167837.313304.076158.098Yes3.167815.037308.898163.002Integration degree (50000 m)No76.3731093.489707.113179.998Yes179.3791837.0271324.001235.001


### 3.3. Modeling Fineness Error

The spatial syntax analysis focuses on the movement flow of natural trips, that is, trips that are less influenced by the attraction points in the city (e.g., specific shopping centers) than by the built-up space. The unique “gated community” management model in China leads to the difficulty of modeling built-up space by spatial syntax, as whether open or closed universities, residential areas, and other areas embedded in the city should be included in the modeling scope of spatial syntax.Urban data including Baidu heat map, various POI data, and public review data can conveniently reveal the actual functions of urban areas and urban traffic flow conditions, so the urban spatial structure based on syntactic expressions can be checked in terms of urban functions and traffic flow to verify whether the spatial syntax truly expresses the urban situation and also helps select the appropriate spatial syntactic analysis. It also helps select the appropriate spatial syntax analysis radius to provide reference assistance for urban design solutions based on spatial syntax. Tao Wei et al. studied the influence of road network morphology on the distribution of star-rated hotels in Guangzhou and found that the hotel data were obtained based on point-of-interest (POI) data, which reduced the workload caused by data vectorization. Reference [21] analyzed the number of restaurants around Chongqing metro stations, the total number of reviews compared with the real customer flow, and related syntactic parameters by combining the restaurant distribution and review data from the popular review website. In general, the spatial syntactic calibration in the established literature is still mainly based on the measured traffic flow data, and less on the multisource city data, as shown in Table 2.Table 2
The use and basis of various city data in spatial syntactic model calibration.
City data typeApplication of spatial syntactic model in checking and analyzingCheck basisVarious POI dataBusiness type Po data (such as life service nodes and shopping nodes) can be used as the basis for the selection of spatial syntax radiusConsistency between urban function and urban spacePublic comment dataIdentify urban agglomeration hotspots, identify people's satisfaction with urban areas, and assist the scheme design based on spatial syntaxConsistency between urban function and urban spaceBaidu thermal map data, Baidu map aerial map, Gaode map congestion dataThe integration degree and crossing degree of each scale calculated by the spatial syntax line segment model are correlated with the road congestion level to select the optimal analysis radiusConsistency between traffic flow and urban space


## 3.1. Search Radius Error

According to the theory of spatial syntax, the characteristics of a certain space depend on other spatial characteristics connected to it within a certain range, and the search radius is an important variable to measure the “range.” Search radius can reflect the travel and cognitive characteristics of people in urban space, which provides a reference for human-oriented urban design; it can also reflect the service radius of urban functions, which can help optimize the layout of different functional nodes and improve urban vitality after knowing the service radius of these nodes. For example, the high star hotels in Guangzhou are less influenced by the road network but rely on the road network to serve a larger scope and radius, while the low star hotels show the opposite pattern. Different spatial syntax software handles the search radius in different ways. Depthmap software defines the search radius as a circular range obtained by taking the center of a road network as the center and a set threshold as the radius, ands DNA software optimizes the search radius and can calculate “continuous” and “discrete” based on the actual road network. The s DNA software optimizes the search radius to calculate both “continuous” and “discrete” search radii based on the actual road network. Although the algorithm of the search radius is constantly optimized, in the actual planning and research work, the search radius in many cases comes from the empirical parameters set by the researchers, which brings bias to the subsequent analysis results. As shown in Figure 2, the author conducted spatial syntactic modeling for Zhuhai Xiangzhou District, Huizhou Huicheng District, Jiangmen Pengjiang District, Zhongshan City, and Zhaoqing Duanzhou District based on three scales: micro (0.5 km), meso (5 km), and macro (50 km), respectively. The results show that, at the microscopic scale, none of the five districts show obvious high-value areas; at the mesoscopic scale, each district forms a certain area of high-value areas; at the macroscopic scale, the high-value network structures of the five districts can be clearly distinguished. It can be seen that the spatial syntax calculation results under different search radii are highly variable, and if the search radius is chosen arbitrarily, it is often impossible to accurately summarize the core and edge areas of each spatial syntactic parameter of the region.Figure 2
Comparison of calculation results of spatial syntax for each region on micro, meso, and macro scales.


## 3.2. Modeling Range Error

In “Space is a Machine,” Hillier discusses the boundary effect in spatial syntax calculations and argues that the principle of “including enough of the urban network in the analysis to ensure that the study section is embedded in the urban grid” should be followed. The influence of “boundary effects” is reflected in several parameters of the spatial syntax. Sections located at the modeling horizon boundaries, which are not influenced by the “outside” road network, have a larger sum of distances from most of the road network within the horizon, while sections located at the center of the study horizon have a smaller sum of distances from most of the road network. These factors are the main reason why the results of the spatial syntactic analysis tend to have an axial character. In Figure3, we calculated the results of the integration degree of each scale of the Zhaoqing-wide road network, cut out the part of Duanzhou district from it, and compared it with the results of the integration degree of each scale of Duanzhou district calculated separately. The results show that the difference between the microscopic scale of 0.5 km radius and the mesoscopic scale of 5 km radius is not significant, but at the macroscopic scale of 50 km radius, the mean and standard deviation of the modeled area increase by about 87.2% and 29.2%, respectively. It can be seen that the model parameters (especially for the parameters with large search radius) fluctuate due to the change of the modeling range. Therefore, it is necessary to weaken the influence of the modeling range on the calculation results by means of expanding the modeling range (Table 1.Figure 3
Comparison of spatial syntax calculation results of Zhaoqing City and Duanzhou District of Zhaoqing City.Table 1
Comparison of the impact of spatial syntactic model expansion or not on the integration of various scales.
Spatial syntactic parametersIs the model extendedMinimumMaximumAverageStandard deviationIntegration degree (500 m)No089.45621.03314.556Yes089.45620.89714.555Integration degree (5000 m)No3.167837.313304.076158.098Yes3.167815.037308.898163.002Integration degree (50000 m)No76.3731093.489707.113179.998Yes179.3791837.0271324.001235.001


## 3.3. Modeling Fineness Error

The spatial syntax analysis focuses on the movement flow of natural trips, that is, trips that are less influenced by the attraction points in the city (e.g., specific shopping centers) than by the built-up space. The unique “gated community” management model in China leads to the difficulty of modeling built-up space by spatial syntax, as whether open or closed universities, residential areas, and other areas embedded in the city should be included in the modeling scope of spatial syntax.Urban data including Baidu heat map, various POI data, and public review data can conveniently reveal the actual functions of urban areas and urban traffic flow conditions, so the urban spatial structure based on syntactic expressions can be checked in terms of urban functions and traffic flow to verify whether the spatial syntax truly expresses the urban situation and also helps select the appropriate spatial syntactic analysis. It also helps select the appropriate spatial syntax analysis radius to provide reference assistance for urban design solutions based on spatial syntax. Tao Wei et al. studied the influence of road network morphology on the distribution of star-rated hotels in Guangzhou and found that the hotel data were obtained based on point-of-interest (POI) data, which reduced the workload caused by data vectorization. Reference [21] analyzed the number of restaurants around Chongqing metro stations, the total number of reviews compared with the real customer flow, and related syntactic parameters by combining the restaurant distribution and review data from the popular review website. In general, the spatial syntactic calibration in the established literature is still mainly based on the measured traffic flow data, and less on the multisource city data, as shown in Table 2.Table 2
The use and basis of various city data in spatial syntactic model calibration.
City data typeApplication of spatial syntactic model in checking and analyzingCheck basisVarious POI dataBusiness type Po data (such as life service nodes and shopping nodes) can be used as the basis for the selection of spatial syntax radiusConsistency between urban function and urban spacePublic comment dataIdentify urban agglomeration hotspots, identify people's satisfaction with urban areas, and assist the scheme design based on spatial syntaxConsistency between urban function and urban spaceBaidu thermal map data, Baidu map aerial map, Gaode map congestion dataThe integration degree and crossing degree of each scale calculated by the spatial syntax line segment model are correlated with the road congestion level to select the optimal analysis radiusConsistency between traffic flow and urban space


## 4. Checking Technical Details

In both urban studies and practical urban design work, neglecting the modeling errors of spatial syntax will affect the final planning scheme design. This section attempts to explain the technical details of the spatial syntax model calibration in order to minimize the bias of the spatial syntax errors on the analysis of the results. The technical details of the model calibration can be divided into the following parts.


### 4.1. Search Radius Selection

The selection of spatial syntax search radius should be carried out in two steps: empirical radius selection and optimal radius verification. After selecting the empirical radius, the search radius should be calibrated by the relevant data. The spatial syntax follows the analysis paradigm of “form-traffic-function,” where the spatial form is the variable to be checked (explanatory variable), and the traffic flow and urban function can be introduced into the check model as check variables (explanatory variables) [22]. The traditional means of checking the optimal radius is mainly through the traffic flow, but this method consumes high human and material resources. As shown in Figure 4, POI data can reflect the actual function of the city, and previous studies have shown that the distribution of commercial nodes and spatial syntactic integration in POI data maintain a high degree of consistency, and this feature can be used to carry out the selection of the optimal radius. The common practice is to overlay the kernel density analysis results of shopping class nodes in POI with the calculation results of spatial syntax parameter kernel density and select the radius with higher correlation as the analysis radius, while the radius with lower correlation is eliminated.Figure 4
Search error distribution.


### 4.2. Modeling Range Delineation

Due to the “boundary effect” of the spatial syntax, the radius of the spatial syntax analysis should be defined before modeling. On the one hand, theoretically speaking, the spatial syntax analysis model should at least include the analysis area, and it is necessary to make appropriate expansion on the basis of the original analysis area boundary [23, 24]; as shown in Figure 5, the expansion of the boundary will lead to the problem of too little variability of the calculation results within the area and thus cannot accurately identify the area problem. In the author's opinion, the boundary outward expansion needs to follow the principle of moderation, and at least the key sections of the study need to be allowed to be included. The analysis boundary can be taken as a buffer zone with a radius of 800 m (equivalent to about 8 minutes' walk) or 1 600 m (equivalent to about 15 minutes' walk), and the roads inside the buffer zone can be included in the spatial syntactic analysis model, and the results of the model will be more reliable after the expansion.Figure 5
Slice determination error.


### 4.3. Modeling Fineness Identification

The appropriate modeling granularity for spatial syntax has been explored in the established literature. In the literature [5], by comparing the differences in computational results between models that include semipublic paths observed to be frequently used in the field (e.g., shortcuts in universities) and those that do not contain gated controls, and by correlating the actual traffic flows with the spatial syntax parameters, it is concluded that models that include semipublic paths better explain urban traffic flows and thus provide a more accurate description of urban space. From the analysis in Figure 6, it can be seen that the refinement of modeling fineness in the spatial syntax analysis at large scales enables the model to reveal more characteristics of system changes. Therefore, more fine-grained spatial syntactic models tend to reveal urban spatial structure better in both micro-scale and macro-scale analyses. However, more fine-grained spatial syntactic models entail a huge workload, which is a major challenge for researchers. Therefore, the modeling granularity should be determined according to the researcher's object of study. For example, a study that uses streets as the context of analysis should cover semipublic spaces when modeling, while a study that analyzes traffic in urban clusters need not consider the finer streets within urban neighborhoods [25, 26].Figure 6
Comparison between Zhongshan public comment data and integration (5 km) calculation results.


### 4.4. Parameter Algorithm Optimization

How to choose a suitable model and parameters for spatial syntactic analysis is another problem that researchers need to face. In terms of models, the establishment of axis models has considerable workload in large scale city-wide situations, and there may be differences in the establishment of axis models for the same space by different personnel, while the mismatch between the visual-based axis model data and the road network data in urban design also limits the application of axis models in urban design. In related studies, the line segment model has been shown to be closer to the actual situation in traffic flow prediction, with a better fit to traffic flow, while the line segment takes into account factors such as true distance and street deflection angle and is considered to have the advantages of revealing tighter grouping centers, better capturing changes in grouping patterns brought about by changes in geometry, revealing “different scale centers” and other advantages. As shown in Figure7, the line segment model has gradually replaced the axis model as the most dominant quantitative method of spatial syntax in urban design because its modeling and analysis results are more consistent with urban planners' understanding of roads and more efficient in calculation, based on the centerline of roads. In the modeling work, the line segment model is based on the centerline of the road network and does not need to consider the road level. For the boundary effect of the line segment model, it is necessary to consider the relationship between the boundary of the planning area and the built-up area of the city and generally take the road section with large barrier effect as the study boundary, the scope of which should include at least the main central area of the city and about 80% of the urban road network.Figure 7
Landscape design solubility under different parameters.In terms of parameters, integration degree and penetration degree are the two most important spatial syntactic parameters. Integration degree can reflect the degree of clustering or dispersion of a space with other spaces in the network; penetration degree represents the penetration effect of space, reflecting the number of shortest angular topological distances through a node in the network. In previous urban space studies, the application of integration degree has been more mature, but the penetration degree has been unable to get a better standardized calculation, which restricts its further application. Through extensive experiments, Hillier et al. found that the correlation between the penetration degree and the number of road networks involved in the calculation is almost zero after dividing the Total Depth, which means that the parameter is well standardized. The spatial syntactic parameters obtained by using different software also differ. In order to compare the advantages and disadvantages of the spatial syntactic parameters under different algorithms, I investigated the effects of the spatial syntactic integration and penetration parameters in Depthmap ands DNA on the house prices of 149 primary housing data points in Guangzhou City in 2015 based on multiple linear regression (OLS) models. Comparing the significance of the road network morphology parameters in the respective models (Table 3), it is found that the effect of each radius Depthmap parameter on residential prices is not significant, while s DNA integration degree at 2 km radius and s DNA penetration degree at 12 km, 15 km, and N radius both show significance. From this case, it can be seen that the results obtained based on the s DNA parameters are closer to reality than those obtained by the traditional spatial sentence method, as shown in Table 3.Table 3
Comparison of significance test of spatial syntactic parameters based on Depthmap and sDNA software under different radii.
Parameter0.8 km1.2 km2 km5 km8 km10 km12 km15 kmNIntegration degree (Depthmap)0.2220.6160.4770.2790.2460.2910.4510.7290.959Integration degree (sDNA)0.8010.3950.0730.047∗0.0910.1310.1710.1790.277Traversal degree (Depthmap)0.5120.6220.2290.2230.2270.2290.2440.2380.266Traversal degree (sDNA)0.6660.9660.2330.0970.0770.0770.052∗0.039∗0.013∗Note. ∗∗indicates that the results are significantly related at the significance level of 5%.


## 4.1. Search Radius Selection

The selection of spatial syntax search radius should be carried out in two steps: empirical radius selection and optimal radius verification. After selecting the empirical radius, the search radius should be calibrated by the relevant data. The spatial syntax follows the analysis paradigm of “form-traffic-function,” where the spatial form is the variable to be checked (explanatory variable), and the traffic flow and urban function can be introduced into the check model as check variables (explanatory variables) [22]. The traditional means of checking the optimal radius is mainly through the traffic flow, but this method consumes high human and material resources. As shown in Figure 4, POI data can reflect the actual function of the city, and previous studies have shown that the distribution of commercial nodes and spatial syntactic integration in POI data maintain a high degree of consistency, and this feature can be used to carry out the selection of the optimal radius. The common practice is to overlay the kernel density analysis results of shopping class nodes in POI with the calculation results of spatial syntax parameter kernel density and select the radius with higher correlation as the analysis radius, while the radius with lower correlation is eliminated.Figure 4
Search error distribution.


## 4.2. Modeling Range Delineation

Due to the “boundary effect” of the spatial syntax, the radius of the spatial syntax analysis should be defined before modeling. On the one hand, theoretically speaking, the spatial syntax analysis model should at least include the analysis area, and it is necessary to make appropriate expansion on the basis of the original analysis area boundary [23, 24]; as shown in Figure 5, the expansion of the boundary will lead to the problem of too little variability of the calculation results within the area and thus cannot accurately identify the area problem. In the author's opinion, the boundary outward expansion needs to follow the principle of moderation, and at least the key sections of the study need to be allowed to be included. The analysis boundary can be taken as a buffer zone with a radius of 800 m (equivalent to about 8 minutes' walk) or 1 600 m (equivalent to about 15 minutes' walk), and the roads inside the buffer zone can be included in the spatial syntactic analysis model, and the results of the model will be more reliable after the expansion.Figure 5
Slice determination error.


## 4.3. Modeling Fineness Identification

The appropriate modeling granularity for spatial syntax has been explored in the established literature. In the literature [5], by comparing the differences in computational results between models that include semipublic paths observed to be frequently used in the field (e.g., shortcuts in universities) and those that do not contain gated controls, and by correlating the actual traffic flows with the spatial syntax parameters, it is concluded that models that include semipublic paths better explain urban traffic flows and thus provide a more accurate description of urban space. From the analysis in Figure 6, it can be seen that the refinement of modeling fineness in the spatial syntax analysis at large scales enables the model to reveal more characteristics of system changes. Therefore, more fine-grained spatial syntactic models tend to reveal urban spatial structure better in both micro-scale and macro-scale analyses. However, more fine-grained spatial syntactic models entail a huge workload, which is a major challenge for researchers. Therefore, the modeling granularity should be determined according to the researcher's object of study. For example, a study that uses streets as the context of analysis should cover semipublic spaces when modeling, while a study that analyzes traffic in urban clusters need not consider the finer streets within urban neighborhoods [25, 26].Figure 6
Comparison between Zhongshan public comment data and integration (5 km) calculation results.


## 4.4. Parameter Algorithm Optimization

How to choose a suitable model and parameters for spatial syntactic analysis is another problem that researchers need to face. In terms of models, the establishment of axis models has considerable workload in large scale city-wide situations, and there may be differences in the establishment of axis models for the same space by different personnel, while the mismatch between the visual-based axis model data and the road network data in urban design also limits the application of axis models in urban design. In related studies, the line segment model has been shown to be closer to the actual situation in traffic flow prediction, with a better fit to traffic flow, while the line segment takes into account factors such as true distance and street deflection angle and is considered to have the advantages of revealing tighter grouping centers, better capturing changes in grouping patterns brought about by changes in geometry, revealing “different scale centers” and other advantages. As shown in Figure7, the line segment model has gradually replaced the axis model as the most dominant quantitative method of spatial syntax in urban design because its modeling and analysis results are more consistent with urban planners' understanding of roads and more efficient in calculation, based on the centerline of roads. In the modeling work, the line segment model is based on the centerline of the road network and does not need to consider the road level. For the boundary effect of the line segment model, it is necessary to consider the relationship between the boundary of the planning area and the built-up area of the city and generally take the road section with large barrier effect as the study boundary, the scope of which should include at least the main central area of the city and about 80% of the urban road network.Figure 7
Landscape design solubility under different parameters.In terms of parameters, integration degree and penetration degree are the two most important spatial syntactic parameters. Integration degree can reflect the degree of clustering or dispersion of a space with other spaces in the network; penetration degree represents the penetration effect of space, reflecting the number of shortest angular topological distances through a node in the network. In previous urban space studies, the application of integration degree has been more mature, but the penetration degree has been unable to get a better standardized calculation, which restricts its further application. Through extensive experiments, Hillier et al. found that the correlation between the penetration degree and the number of road networks involved in the calculation is almost zero after dividing the Total Depth, which means that the parameter is well standardized. The spatial syntactic parameters obtained by using different software also differ. In order to compare the advantages and disadvantages of the spatial syntactic parameters under different algorithms, I investigated the effects of the spatial syntactic integration and penetration parameters in Depthmap ands DNA on the house prices of 149 primary housing data points in Guangzhou City in 2015 based on multiple linear regression (OLS) models. Comparing the significance of the road network morphology parameters in the respective models (Table 3), it is found that the effect of each radius Depthmap parameter on residential prices is not significant, while s DNA integration degree at 2 km radius and s DNA penetration degree at 12 km, 15 km, and N radius both show significance. From this case, it can be seen that the results obtained based on the s DNA parameters are closer to reality than those obtained by the traditional spatial sentence method, as shown in Table 3.Table 3
Comparison of significance test of spatial syntactic parameters based on Depthmap and sDNA software under different radii.
Parameter0.8 km1.2 km2 km5 km8 km10 km12 km15 kmNIntegration degree (Depthmap)0.2220.6160.4770.2790.2460.2910.4510.7290.959Integration degree (sDNA)0.8010.3950.0730.047∗0.0910.1310.1710.1790.277Traversal degree (Depthmap)0.5120.6220.2290.2230.2270.2290.2440.2380.266Traversal degree (sDNA)0.6660.9660.2330.0970.0770.0770.052∗0.039∗0.013∗Note. ∗∗indicates that the results are significantly related at the significance level of 5%.


## 5. Conclusion

Combined with multisource urban data, the theoretical basis of space syntax model validation, the source of errors in space syntax analysis, the technical details of error handling, and the urban design process based on urban data-driven space syntax are discussed. Construct and understand urban space through mathematical models, and analyze urban functional organization. Model selection and various errors in space syntax analysis will have a significant impact on macroscopic system models. This paper expounds a multisource urban data-driven urban design process based on space syntax and takes Zhongshan City as an example to explore the role of public comment data in model calibration and assisting scheme design.



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*Source: 2097422-2022-06-30.xml*