Submitted:
19 April 2025
Posted:
21 April 2025
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Abstract
Keywords:
1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Signaling Data and Processing
- Leisure time categorization: Weekdays vs weekends;
- Arrival time intervals: 6:00–8:00, 8:00–12:00, 12:00–16:00, 16:00–18:00, 18:00–20:00, 20:00–22:00 (six intervals);
2.3. Integrated Analytical Framework of "Temporal Behavior-Spatial Attribute-Vitality Typology"
- Park-specific attributes: Including park area, park type, landscape morphology index, water area ratio, and facility density;
- Accessibility attributes: Comprising distance to city center, bus stop density, walking accessibility, and driving accessibility;
- Surrounding environment attributes: Encompassing residential population density, employment density, and density of park-related services/facilities.
2.3.1. Constructing the Temporal Feature Matrix of Recreational Behavior
- Morning Peak Ratio (Mmor) : Quantifies vitality intensity during the morning commute (6:00–8:00). Calculated as the ratio of hourly average visitation volume during 6:00–8:00 to the full-day average;
- Day-Night Difference Coefficient (MDN) : Reflects the imbalance between daytime (8:00–16:00) and evening (16:00–22:00) vitality distributions, measured by the ratio of visitation volumes between these periods;
- Evening Activity Level (Meve): Represents the contribution of 18:00–22:00 vitality as the proportion of total visits during this period relative to the full day;
- Fluctuation Entropy (H) : Uses Shannon entropy to measure the disorderliness of visitor flow fluctuations, where higher entropy indicates more random vitality distributions. Measuring the irregularity of hourly visitation volume distributions. Calculated as Shannon entropy of hourly visit distributions;
- Peak-Valley Difference Coefficient (PVR) : Core index to measure the fluctuation intensity of park population flow. Quantifies the amplitude of daily vitality extremes as the ratio of maximum to minimum hourly average visitation volumes.
2.3.2. DTW-based K-Means Clustering
- Temporal Data Preprocessing: Daily visitation volume data for 59 parks were standardized using Z-score normalization to eliminate dimensional differences, constructing a standardized temporal matrix X ∈ R59×6.
- DTW distance replaced traditional Euclidean distance to elastically align temporal waveforms and resolve interference from phase shifts in similarity measurements. The DTW distance is calculated as:
- 3.
- Cluster Number Determination: Cluster quality was evaluated using the Silhouette Score, with grid search identifying the optimal cluster number K=3. The Silhouette Score is calculated as:
- 4.
- Model Training and Optimization: DTW-KMeans was implemented using Python’s tslearn library with parameters: maximum iterations T=100, convergence threshold , and three random initializations to avoid local optima. The algorithm iteratively optimizes cluster centroids and sample assignments to minimize the objective function:
- 5.
- Result Validation: Intra-cluster compactness was validated through intra-cluster average DTW distance (< 60 visitors/hour) and inter-cluster separation (> 220 visitors/hour). Cluster structure significance was confirmed using permutation tests (p < 0.01).
2.3.3. Geographical Detector Model – Indicator Determination and Feature Extraction
- Park-specific Attributes;
- 2.
- Accessibility Features;
- 3.
- Surrounding Environmental Attributes;
3. Results
3.1. Urban Park Vitality Typologies
3.2. Results of Geographical Detector Model
3.2.1. Main Influencing Factors on Weekends
3.2.2. Main Influencing Factors on Weekdays
3.3. Influencing Factors of Vitality Types in Different Time Periods
4. Discussion
- "Morning Exercise-Dominated" parks: Addressing temporal fragmentation to unlock the temporal value of suburban parks.
- Innovative Maintenance Management:
- Planning Strategies:
- Synergy with Surrounding Elements:
- 2.
- "All-Day Balanced" parks (e.g., Xiaohezhi Street Greenway, Ying’ergang Greenway, green spaces around West Lake Cultural Square): Reconfiguring urban functional networks to create sustainable vitality hubs.
- Upgraded Maintenance Management:
- Planning Strategies:
- Synergy with Surrounding Elements:
- 3.
- "Evening Aggregation-Dominated" parks (e.g., Mishixiang Cultural Square): Precisely responding to residential needs to build inclusive vitality units.
- Innovative Maintenance Management:
- Planning Strategies:
- Synergy with Surrounding Elements:
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
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| Variables | Description | Unit | Source | |
|---|---|---|---|---|
| Park-specific Attributes | PS | Park size | Ha | |
| PT | Park type | - | Comprehensive park(=7) Specialized park(=5) Community park(=3) Mini park(=1) |
|
| (LSI) Landscape shape index |
The landscape shape index | - | LSI=2 Si represents the area of the urban park I in hectares and Ci signifies the circumference of the park I in meters. |
|
| WP | Water proportion to the urban park area | water area / park area | ||
| (PFD) Park facilities density |
The density of park service, such as playgrounds, themed plazas, lounge corridors, restaurants, shops, toilets, and parking lots | n/ha | POI screening + map comparison | |
| Accessibility Features | (DTC) Distance to the city center |
The distance from the park to the city center | m | Euclidean distance from the city center (Wulin Square) to an urban park centroid |
| (BSD) Bus station density |
The density of the bus stations within buffer areas of each park. | n/ha | Buffer analysis was conducted based on data from AMAP POI(accessed on Apirl,2023) | |
| (W-15) Walking in an isochronous circle (15min) |
Area accessibility from walking for 15 min in non-peak hours on weekdays from the park | m2 | Used real-time path planning tool to obtain a grid file describing the time distance to the park. | |
| (W-30) Walking in an isochronous circle (30min) |
Area accessibility from walking for 30 min in non-peak hours on weekdays from the park | m2 | Used real-time path planning tool to obtain a grid file describing the time distance to the park. | |
| (D-15) Driving in an isochronous circle (15min) |
Area accessibility from driving for 15 min in non-peak hours on weekdays from the park | m2 | Used real-time path planning tool to obtain a grid file describing the time distance to the park. | |
| (D-30) Driving in an isochronous circle (30min) |
Area accessibility from driving for 30 min in non-peak hours on weekdays from the park | m2 | Used real-time path planning tool to obtain a grid file describing the time distance to the park. | |
| Surroundings Environmental Attributes | (RPD) Residential population density |
The density of the residential population within the buffer areas of each park | Population/ha | Buffer analysis was conducted based on mobile phone signaling data |
| (WPD) Working population density |
The density of the working population within the buffer areas of each park | Population/ha | Buffer analysis was conducted based on mobile phone signaling data | |
| SPOI | The density of surrounding services and POI in the buffer areas of each park | n/ha | Buffer analysis was conducted based on data from AMAP in 2023 |
| (A) Morning peak ratio | ||||||||||||||
| Factor | PT | PS | LSI | WP | PFD | DTC | BSD | W-15 | W-30 | D-15 | D-30 | RPD | WPD | SPOI |
| q statistic | 0.3473 | 0.3221 | 0.0781 | 0.0958 | 0.0451 | 0.2460 | 0.0822 | 0.2090 | 0.1723 | 0.0402 | 0.4384 | 0.2338 | 0.1944 | 0.6627 |
| p value | 0.00 | 0.00 | 0.26 | 0.57 | 0.69 | 0.40 | 0.06 | 0.08 | 0.08 | 0.09 | 0.02 | 0.08 | 0.10 | 0.00 |
| (B) Evening activity | ||||||||||||||
| Factor | Type | Area | LSI | WP | PFD | DTC | BSD | W-15 | W-30 | D-15 | D-30 | RPD | WPD | SPOI |
| q statistic | 0.2613 | 0.2826 | 0.1817 | 0.1823 | 0.4394 | 0.1165 | 0.1524 | 0.6122 | 0.1589 | 0.0387 | 0.0979 | 0.2059 | 0.1609 | 0.7693 |
| p value | 0.10 | 0.07 | 0.18 | 0.82 | 0.04 | 0.34 | 0.66 | 0.00 | 0.22 | 0.13 | 0.08 | 0.08 | 0.17 | 0.01 |
| (C) Day/Night difference index | ||||||||||||||
| Factor | Type | Area | LSI | WP | PFD | DTC | BSD | W-15 | W-30 | D-15 | D-30 | RPD | WPD | SPOI |
| q statistic | 0.1743 | 0.1853 | 0.0743 | 0.0317 | 0.0369 | 0.5524 | 0.1065 | 0.2216 | 0.0823 | 0.1944 | 0.4820 | 0.4713 | 0.1320 | 0.5658 |
| p value | 0.88 | 0.06 | 0.14 | 0.87 | 0.95 | 0.02 | 0.64 | 0.08 | 0.28 | 0.23 | 0.03 | 0.01 | 0.12 | 0.03 |
| (A) Morning peak ratio | ||||||||||||||
| Factor | PT | PS | LSI | WP | PFD | DTC | BSD | W-15 | W-30 | D-15 | D-30 | RPD | WPD | SPOI |
| q statistic | 0.1513 | 0.034 | 0.0539 | 0.0263 | 0.0527 | 0.2334 | 0.3483 | 0.4292 | 0.1348 | 0.0633 | 0.2051 | 0.1872 | 0.4108 | 0.5823 |
| p value | 0.30 | 0.16 | 0.06 | 0.56 | 0.66 | 0.38 | 0.00 | 0.01 | 0.07 | 0.24 | 0.13 | 0.06 | 0.00 | 0.01 |
| (B) Evening activity | ||||||||||||||
| Factor | Type | Area | LSI | WP | PFD | DTC | BSD | W-15 | W-30 | D-15 | D-30 | RPD | WPD | SPOI |
| q statistic | 0.2572 | 0.0645 | 0.0943 | 0.1784 | 0.3679 | 0.1390 | 0.0952 | 0.2089 | 0.1162 | 0.3402 | 0.1488 | 0.5109 | 0.1518 | 0.6281 |
| p value | 0.11 | 0.79 | 0.08 | 0.82 | 0.03 | 0.25 | 0.57 | 0.10 | 0.20 | 0.03 | 0.58 | 0.00 | 0.09 | 0.00 |
| (C) Day/Night difference index | ||||||||||||||
| Factor | Type | Area | LSI | WP | PFD | DTC | BSD | W-15 | W-30 | D-15 | D-30 | RPD | WPD | SPOI |
| q statistic | 0.4743 | 0.1982 | 0.0622 | 0.0409 | 0.0216 | 0.6012 | 0.1206 | 0.2851 | 0.0390 | 0.2618 | 0.1342 | 0.2378 | 0.0842 | 0.4712 |
| p value | 0.01 | 0.23 | 0.12 | 0.79 | 0.90 | 0.01 | 0.53 | 0.06 | 0.31 | 0.24 | 0.18 | 0.06 | 0.28 | 0.01 |
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