A Study of the Non-Linear Relationship Between Urban Morphology and Vitality in Heritage Areas Based on Multi-Source Data and Machine Learning: A Case Study of Dalian
Abstract
:1. Introduction
- What is the spatial distribution of urban morphology elements and vitality in Dalian’s heritage areas and urban districts?
- How do morphology elements in heritage areas and urban areas influence daytime and nighttime vitality, and what are the nonlinear effects?
2. Research Framework
2.1. Measuring Urban Vitality
2.2. Measurement of Urban Morphology
2.3. Research Methodology
3. Research Area and Dataset
3.1. Research Area
3.2. Research Dataset
4. Research Results
4.1. Analysis of the Spatial Distribution of Vitality
4.2. Analysis of the Spatial Distribution of Urban Form
4.3. Influences on Heritage Areas and Urban Areas
4.3.1. Importance of SHAP Variables
4.3.2. Non-Linear Effects of Variables
4.3.3. Interaction Effects Between Key Variables
4.4. Planning Recommendations
4.4.1. Planning Strategies
4.4.2. Practical Applications
5. Conclusions and Discussion
Author Contributions
Funding
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Author (Year) | Data Source and Method | Advantages | Disadvantages |
---|---|---|---|
Jalaladdini, S.; Oktay, D. 2012 [25] | Counting the number of pedestrians on the street | The street vitality each hour can be recorded with high accuracy. | Requires significant resources and is challenging for large-scale measurements. |
Kim., 2018 [27] | Density of Wi-Fi access points provided by government and network operators | Allows comparison between virtual and physical space vitality. | Does not account for private Wi-Fi access points, and may introduce errors for younger and older users. |
Jiang et al., 2024 [13] | Demographic data and OD flow data derived from cell phone | Offers large amounts of accurate data, with mobile location records correlating well with population density. | The socioeconomic characteristics and activity types of users at a specific time and place cannot be identified. |
Wu et al., 2022 [2]; Xia et al., 2020 [30]; Ye et al., 2018 [31] | Geotagged small food facilities | Reflects changes in human activities, representing urban economic vitality. | Only captures a specific aspect of urban vitality, limiting its overall representativeness. |
Components | Indicators | Calculation Method | |
---|---|---|---|
Ground plan | Street system | Public transportation convenience degree (PTCD) | Ratio of the number of transport stops (bus stops and metro stations) to the size of the block within 500 m |
Road inter section quantities (RIQ) | |||
Distance to nearest bus stop (DNBS) | Distance from the center of mass of the block to the nearest bus stop is the nearest bus stop longitude coordinates | ||
Distance to the nearest metro station (DNMS) | The calculation formula is the same as for the distance to the nearest bus stop | ||
Block pattern | Area (A) | ||
Fractal dimension (FD). | Complexity of block shape is the perimeter of the block | ||
Spatial compact ratio (SCR) | Compactness of the block shape | ||
Building form pattern | Mean of building area (MBA) | Average of all building footprints in the block is the sum of building footprints, is the total number of buildings in the block. | |
Mean of building height (MBH) | is the sum of building heights. | ||
Building density (BD) | Ratio of total building footprint to total block area | ||
Floor area ratio (FAR) | Ratio of the total volume of the building to the total area of the block is the sum of building volume | ||
Land use pattern | Richness (RPOI) | Ratio of total number of POIs to block size M is the number of POI categories | |
Entropy (EPOI), | Information entropy values for all POI function types | ||
Simpson (SPOI) | Simpson’s index of POI function types |
Types of Function | Explanation | |
---|---|---|
Residential services | Residential and related services; | |
Administration and public services | Administration and office | Offices of government, social groups, institutions, etc., and their related facilities |
Cultural facilities | Facilities for cultural public activities such as books and exhibitions | |
Education and research facilities | Educational facilities such as higher education, secondary vocational education, etc., and scientific research institutions and their research facilities | |
Sports facilities | Facilities such as stadiums and sports training bases | |
Health and hygiene | Medical, preventive, health, nursing, rehabilitation, first aid, hospice and other facilities | |
Commercial and business facilities | Commercial facilities | Retail and wholesale markets, catering, hotels and other services |
Business facilities | Comprehensive office facilities for finance, insurance, art and media | |
Recreation facilities | Various recreational and sports facilities | |
Green and open space | Public open spaces such as parks, protected green spaces, squares, etc. | |
Industrial | Production workshops, warehouses and ancillary facilities of industrial and mining enterprises | |
Transportation facilities | Railway, road and other transport facilities and their ancillary facilities |
Model | Indicator | Heritage Areas | Urban Areas | ||
---|---|---|---|---|---|
Day Vitality | Night Vitality | Day Vitality | Night Vitality | ||
OLS | R2 | 0.418 | 0.355 | 0.392 | 0.390 |
MAE | 0.035 | 0.114 | 0.063 | 0.051 | |
RMSE | 0.067 | 0.157 | 0.094 | 0.075 | |
RF | R2 | 0.579 | 0.572 | 0.585 | 0.630 |
MAE | 0.071 | 0.091 | 0.046 | 0.036 | |
RMSE | 0.029 | 0.126 | 0.087 | 0.061 | |
XGBoost | R2 | 0.694 | 0.595 | 0.629 | 0.740 |
MAE | 0.024 | 0.090 | 0.041 | 0.031 | |
RMSE | 0.061 | 0.122 | 0.082 | 0.051 |
Indicator | Heritage Areas | Urban Areas | ||
---|---|---|---|---|
Day Vitality | Night Vitality | Day Vitality | Night Vitality | |
learning_rate | 0.065 | 0.084 | 0.05 | 0.074 |
max_depth | 3 | 4 | 3 | 3 |
n_estimators | 646 | 316 | 497 | 222 |
Indicator | Heritage Areas | Urban Areas | ||
---|---|---|---|---|
Day Vitality | Night Vitality | Day Vitality | Night Vitality | |
R2 | 0.778 | 0.605 | 0.676 | 0.653 |
95%CI | (0.716, 0.851) | (0.510, 0.655) | (0.620, 0.732) | (0.598, 0.721) |
Heritage Areas | Urban Areas | ||
---|---|---|---|
Patterns of Functional Mixing | Percentages | Patterns of Functional Mixing | Percentages |
Administration | 10.24% | Residence | 17.63% |
Commercial | 8.56% | Residence and Commercial | 10.50% |
Residence | 7.01% | Commercial | 8.96% |
Residence and Commercial | 5.33% | Education | 3.71% |
Business | 3.65% | Administration | 3.54% |
Health and hygiene | 3.09% | Residence and Administration | 3.24% |
Administration and Commercial | 2.81% | Residence and Health and hygiene | 2.95% |
Residence and Health and hygiene | 2.66% | Health and hygiene | 2.36% |
Health and hygiene and Education | 2.38% | Commercial and Business | 2.30% |
Business and Administration | 2.24% | Health and hygiene and Commercial | 2.06% |
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© 2025 by the authors. Published by MDPI on behalf of the International Society for Photogrammetry and Remote Sensing. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
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Li, H.; Miao, L. A Study of the Non-Linear Relationship Between Urban Morphology and Vitality in Heritage Areas Based on Multi-Source Data and Machine Learning: A Case Study of Dalian. ISPRS Int. J. Geo-Inf. 2025, 14, 177. https://doi.org/10.3390/ijgi14040177
Li H, Miao L. A Study of the Non-Linear Relationship Between Urban Morphology and Vitality in Heritage Areas Based on Multi-Source Data and Machine Learning: A Case Study of Dalian. ISPRS International Journal of Geo-Information. 2025; 14(4):177. https://doi.org/10.3390/ijgi14040177
Chicago/Turabian StyleLi, He, and Li Miao. 2025. "A Study of the Non-Linear Relationship Between Urban Morphology and Vitality in Heritage Areas Based on Multi-Source Data and Machine Learning: A Case Study of Dalian" ISPRS International Journal of Geo-Information 14, no. 4: 177. https://doi.org/10.3390/ijgi14040177
APA StyleLi, H., & Miao, L. (2025). A Study of the Non-Linear Relationship Between Urban Morphology and Vitality in Heritage Areas Based on Multi-Source Data and Machine Learning: A Case Study of Dalian. ISPRS International Journal of Geo-Information, 14(4), 177. https://doi.org/10.3390/ijgi14040177