Study of Settlement Patterns in Farming–Pastoral Zones in Eastern Inner Mongolia Using Planar Quantization and Cluster Analysis
Abstract
:1. Introduction
2. Materials and Methods
2.1. Research Sampling and Data Collection
2.2. Study Methodology
- ①
- Plan area of the settlement
- ②
- Length-to-width ratio
- ③
- Shape index of the planar boundary pattern of the settlement
- ④
- Settlement building density
- ⑤
- Fractal dimension value of public space
3. Results
3.1. Principal Component Factor Analysis
3.2. Systematic Cluster Analysis
4. Discussion
4.1. Analysis of Clustering Results
4.2. Factor Analysis
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Indicator | Definition | Formula |
---|---|---|
PA | Plan area of the settlement | - |
S | Shape index of the planar boundary pattern of the settlement | |
Length-to-width ratio | ||
M | Settlement building density | |
D | Fractal dimension value of public space |
Indicator | Minimum | Maximum | Average | Standard Deviation |
---|---|---|---|---|
Area of the settlement (km2) | 0.08 | 1.07 | 0.42 | 0.33 |
Shape index of the planar boundary pattern of the settlement | 1.10 | 1.43 | 1.27 | 0.09 |
Length-to-width ratio | 1.06 | 4.76 | 2.34 | 1.17 |
Settlement building density | 0.10 | 0.26 | 0.16 | 0.05 |
Fractal dimension value of public space | 1.23 | 1.35 | 1.28 | 0.04 |
Total Variance Explanation | |||||||||
---|---|---|---|---|---|---|---|---|---|
Component | Initial Eigenvalue | Extraction Load Sum of Squares | Sum of Squares of Rotational Loads | ||||||
Aggregate | Variance (%) | Accuracy (%) | Aggregate | Variance (%) | Accuracy (%) | Aggregate | Variance (%) | Accuracy (%) | |
1 | 3.58 | 71.64 | 71.64 | 3.58 | 71.64 | 71.64 | 2.36 | 47.28 | 47.28 |
2 | 1.04 | 20.82 | 92.46 | 1.04 | 20.82 | 92.46 | 2.26 | 45.18 | 92.46 |
3 | 0.22 | 4.49 | 96.96 | ||||||
4 | 0.10 | 1.98 | 98.94 | ||||||
5 | 0.05 | 1.06 | 100 |
Indicator | Before Rotation | After Rotation | ||
---|---|---|---|---|
Factor 1 | Factor 2 | Factor 1 | Factor 2 | |
Shape index of the planar boundary pattern of the settlement | 0.97 | 0.04 | −0.67 | 0.70 |
Settlement building density | 0.89 | 0.36 | −0.39 | 0.88 |
Length-to-width ratio | −0.82 | 0.53 | 0.96 | −0.19 |
Area of the settlement (km2) | −0.82 | 0.47 | 0.92 | −0.23 |
Fractal dimension value of public space | 0.72 | 0.64 | −0.08 | 0.96 |
Cluster Analysis of the First Principal Component Factor | Indicator | (8, 9, 10, 11, 12, 15, 16, 17, 19, 20, 21, 24, 25) | (13, 14, 18, 22, 23, 26, 27, 28) | (1, 2, 3, 4, 5, 6, 7) | ||||||
Interval | Ave. | SD | Interval | Ave. | SD | Interval | Ave. | SD | ||
Plan area of the settlement | 0.26–0.37 | 0.31 | 0.03 | 0.08–0.21 | 0.14 | 0.05 | 0.28–0.37 | 0.96 | 0.08 | |
Length-to-width ratio | 1.17–2.62 | 1.99 | 0.61 | 1.06–2.67 | 1.42 | 0.52 | 1.17–2.70 | 4.03 | 0.46 | |
Cluster Analysis of the Second Principal Component Factor | Indicator | (8, 9, 10, 11, 12, 13, 14) | (15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28) | (1, 2, 3, 4, 5, 6, 7) | ||||||
Shape index of the planar boundary pattern of the settlement | 1.35–1.43 | 1.38 | 0.03 | 1.23–1.32 | 1.27 | 0.02 | 1.10–1.19 | 1.15 | 0.02 | |
Settlement building density | 0.20–0.26 | 0.23 | 0.02 | 0.10–0.19 | 0.15 | 0.02 | 0.10-0.13 | 0.11 | 0.01 | |
Fractal dimension value of public space | 1.30–1.35 | 1.29 | 0.29 | 1.23–1.34 | 1.27 | 0.26 | 1.23–1.27 | 1.24 | 0.01 | |
Cluster Analysis of five Indicator Factors | Indicator | (8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21) | (22, 23, 24, 25, 26, 27, 28) | (1, 2, 3, 4, 5, 6, 7) | ||||||
Plan area of the settlement | 0.15–0.37 | 0.29 | 0.06 | 0.08–0.30 | 0.16 | 0.09 | 0.84–1.07 | 0.96 | 0.08 | |
Length-to-width ratio | 1.06–2.76 | 2.03 | 0.64 | 1.16–1.35 | 1.26 | 0.07 | 3.36–4.76 | 4.03 | 0.46 | |
Shape index of the planar boundary pattern of the settlement | 1.23–1.43 | 1.32 | 0.06 | 1.23–1.32 | 1.26 | 0.03 | 1.10–1.19 | 1.15 | 0.02 | |
Settlement building density | 0.17–0.26 | 0.20 | 0.03 | 0.10–0.15 | 0.13 | 0.01 | 0.10–0.13 | 0.11 | 0.01 | |
Fractal dimension value of public space | 1.29–1.35 | 1.32 | 0.02 | 1.23–1.25 | 1.24 | 0.01 | 1.23–1.27 | 1.24 | 0.01 |
Star-Shaped Settlements (Ave. Index) | Clustered Settlements (Ave. Index) | High-Density Spatial Settlements (Ave. Index) | Uniformly Distributed Settlements (Ave. Index) | Star-Shaped + Highly Dense Space | Circular-Shaped + Highly Dense Space | Star-Shaped + Uniform Distribution of Space | Circular-Shaped + Uniform Distribution of Space | |
---|---|---|---|---|---|---|---|---|
Multidirectional expanding settlements | 11 | 3 | 7 | 7 | 5 | 2 | 6 | 1 |
Centripetal development of settlements | 2 | 5 | 0 | 7 | 0 | 0 | 2 | 5 |
Types | Site Selection Characteristics | Settlement Morphology | Spatial Layout Pattern | Representative Settlements |
---|---|---|---|---|
Multidirectional Expanding Settlement | The shape index, building density, and fractal dimension values of public space are all at their maximum values. | The settlement has gradual and indistinct boundaries, with dispersed buildings and lacking a clear order. | 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21 | |
Settlement Patterns Extending at Both Ends | The shape index, building density, and fractal dimension values of the public space are all the lowest. | The settlements have relatively gentle boundaries, a low building density, a high level of organization, an loose arrangement of along the main roads, and a strong sense of order. | 1, 2, 3, 4, 5, 6, 7 | |
Centripetal Development of Settlements | Fractal dimension value of the public space is the smallest, while the shape index and building density have intermediate values. | The settlements have winding boundaries, fragmented internal space, clusters of buildings with varied orientations. | 22, 23, 24, 25, 26, 27, 28 |
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Xu, H.; Guo, Q.; Siqin, C.; Li, Y.; Gao, F. Study of Settlement Patterns in Farming–Pastoral Zones in Eastern Inner Mongolia Using Planar Quantization and Cluster Analysis. Sustainability 2023, 15, 15077. https://doi.org/10.3390/su152015077
Xu H, Guo Q, Siqin C, Li Y, Gao F. Study of Settlement Patterns in Farming–Pastoral Zones in Eastern Inner Mongolia Using Planar Quantization and Cluster Analysis. Sustainability. 2023; 15(20):15077. https://doi.org/10.3390/su152015077
Chicago/Turabian StyleXu, Hui, Qin Guo, Chaoketu Siqin, Yingjie Li, and Fei Gao. 2023. "Study of Settlement Patterns in Farming–Pastoral Zones in Eastern Inner Mongolia Using Planar Quantization and Cluster Analysis" Sustainability 15, no. 20: 15077. https://doi.org/10.3390/su152015077
APA StyleXu, H., Guo, Q., Siqin, C., Li, Y., & Gao, F. (2023). Study of Settlement Patterns in Farming–Pastoral Zones in Eastern Inner Mongolia Using Planar Quantization and Cluster Analysis. Sustainability, 15(20), 15077. https://doi.org/10.3390/su152015077