The Influence of the Calibration Interval on Simulating Non-Stationary Urban Growth Dynamic Using CA-Markov Model
Abstract
:1. Introduction
2. Materials and Methods
2.1. Definitions and Statements
2.2. Study Area
2.3. Dataset and Land Change Analysis
2.3.1. Dependent Variables—Past LUCC
2.3.2. Independent Variables—Constraints and Potential Driving Factors
2.4. CA-Markov Model
2.4.1. Transition Area Matrix Using a Markovian Process
2.4.2. CA-Markov Model
2.5. Accuracy Assessment
3. Results
3.1. Quantity of Change Estimate
3.2. Spatial Allocation of Change
4. Discussion
4.1. Quantity of Change Estimate
4.2. Spatial Allocation of Change
4.3. Implications on the Model Performance and Outputs
5. Conclusions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Date | Area (ha) | Percentage of Landscape (%) | NP | ENND_MN | Period | Annual Change (ha/Year) | Growth Rate (%) |
---|---|---|---|---|---|---|---|
2003 | 11,399 | 18.6 | 240 | 105 | - | - | |
2006 | 11,854 | 19.3 | 228 | 113 | 2003–2006 | 152 | 3.99 |
2010 | 12,307 | 20.1 | 227 | 106 | 2006–2010 | 113 | 3.82 |
2011 | 12,417 | 20.2 | 221 | 116 | 2010–2011 | 110 | 0.93 |
2012 | 12,570 | 20.5 | 222 | 115 | 2011–2012 | 153 | 1.23 |
2015 | 12,866 | 21.0 | 218 | 126 | 2012–2015 | 99 | 2.36 |
2018 | 13,118 | 21.4 | 218 | 137 | 2015–2018 | 84 | 1.96 |
Calibration Interval | Simulation Interval | Error | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Period | ΔT (Year) | Observed Rate (A) (ha/Year) | Period | ΔT (year) | Observed Rate (B) (ha/Year) | Predicted Rate (C) (ha/Year) | Obs.-Pred. (B–C) (ha/Year) | A–B (ha/Year) | A–C (ha/Year) | EQuantity (ha) |
2003 | 3 | 152 | 2006 | 12 | 105 | 150 | −45 | 47 | 2 | −540 |
2006 | 2018 | |||||||||
2003 | 7 | 130 | 2010 | 8 | 101 | 129 | −28 | 29 | 1 | −224 |
2010 | 2018 | |||||||||
2003 | 8 | 127 | 2011 | 7 | 100 | 126 | −26 | 27 | 1 | −182 |
2011 | 2018 | |||||||||
2003 | 9 | 130 | 2012 | 6 | 91 | 129 | −38 | 39 | 1 | −228 |
2012 | 2018 | |||||||||
2003 | 12 | 122 | 2015 | 3 | 84 | 121 | −37 | 38 | 1 | −111 |
2015 | 2018 | |||||||||
2006 | 4 | 113 | 2010 | 8 | 101 | 113 | −12 | 12 | 0 | −96 |
2010 | 2018 | |||||||||
2006 | 5 | 113 | 2011 | 7 | 100 | 112 | −12 | 13 | 1 | −84 |
2011 | 2018 | |||||||||
2006 | 6 | 119 | 2012 | 6 | 91 | 119 | −28 | 28 | 0 | −168 |
2012 | 2018 | |||||||||
2006 | 9 | 112 | 2015 | 3 | 84 | 112 | −28 | 28 | 0 | −84 |
2015 | 2018 | |||||||||
2010 | 1 | 110 | 2011 | 7 | 100 | 112 | −12 | 10 | -2 | −84 |
2011 | 2018 | |||||||||
2010 | 2 | 132 | 2012 | 6 | 91 | 131 | −40 | 41 | 1 | −240 |
2012 | 2018 | |||||||||
2010 | 5 | 112 | 2015 | 3 | 84 | 112 | −28 | 28 | 0 | −84 |
2015 | 2018 | |||||||||
2011 | 1 | 153 | 2012 | 6 | 91 | 153 | −62 | 62 | 0 | −372 |
2012 | 2018 | |||||||||
2011 | 4 | 112 | 2015 | 3 | 84 | 112 | −28 | 28 | 0 | −84 |
2015 | 2018 | |||||||||
2012 | 3 | 99 | 2015 | 3 | 84 | 99 | −15 | 15 | 0 | −45 |
2015 | 2018 |
Intervals | False Alarms 2-1-1 | Misses 1-2-1 | Hits 2-2-1 | Persistent 2-2-2 | Quantity Error | Total Error | Allocation Error | |
---|---|---|---|---|---|---|---|---|
Calibration | Simulation | |||||||
2003–2006 | 2006–2018 | 1444 | 905 | 359 | 11,854 | 539 | 2349 | 1810 |
2003–2010 | 2010–2018 | 876 | 659 | 154 | 12,306 | 217 | 1535 | 1318 |
2006–2010 | 769 | 681 | 132 | 12,306 | 88 | 1450 | 1361 | |
2003–2011 | 2011–2018 | 762 | 580 | 122 | 12,416 | 181 | 1342 | 1161 |
2006–2011 | 676 | 594 | 109 | 12,416 | 81 | 1270 | 1188 | |
2010–2011 | 739 | 654 | 48 | 12,416 | 84 | 1393 | 1309 | |
2003–2012 | 2012–2018 | 684 | 459 | 91 | 12,569 | 225 | 1143 | 918 |
2006–2012 | 628 | 466 | 84 | 12,569 | 163 | 1094 | 931 | |
2010–2012 | 695 | 457 | 92 | 12,569 | 237 | 1152 | 915 | |
2011–2012 | 808 | 443 | 107 | 12,569 | 365 | 1251 | 886 | |
2003–2015 | 2015–2018 | 343 | 231 | 22 | 12,866 | 112 | 573 | 461 |
2006–2015 | 315 | 232 | 20 | 12,866 | 84 | 547 | 464 | |
2010–2015 | 315 | 232 | 20 | 12,866 | 83 | 547 | 465 | |
2011–2015 | 316 | 232 | 20 | 12,866 | 84 | 549 | 465 | |
2012–2015 | 279 | 235 | 17 | 12,866 | 44 | 514 | 471 |
Calibration Interval | NP | PD | Area-MN | ENND-MN | LSI | AI | LPI |
---|---|---|---|---|---|---|---|
2003–2006 | 124 | 0.1 | 120 | 269 | 4.5 | 99.7 | 3.9 |
2003–2010 | 146 | 0.1 | 103 | 217 | 4.9 | 99.7 | 4.6 |
2006–2010 | 148 | 0.1 | 101 | 217 | 5.0 | 99.7 | 4.6 |
2003–2011 | 149 | 0.1 | 102 | 223 | 5.0 | 99.7 | 4.6 |
2006–2011 | 146 | 0.1 | 101 | 223 | 5.1 | 99.7 | 4.6 |
2010–2011 | 173 | 0.1 | 99 | 215 | 5.2 | 99.7 | 4.6 |
2003–2012 | 149 | 0.1 | 102 | 221 | 5.1 | 99.7 | 4.6 |
2006–2012 | 146 | 0.1 | 101 | 222 | 5.2 | 99.7 | 4.6 |
2010–2012 | 150 | 0.1 | 102 | 221 | 5.1 | 99.7 | 4.6 |
2011–2012 | 141 | 0.1 | 112 | 257 | 5.0 | 99.7 | 4.7 |
2003–2015 | 158 | 0.1 | 100 | 214 | 5.4 | 99.7 | 4.6 |
2006–2015 | 171 | 0.1 | 94 | 200 | 5.4 | 99.7 | 4.6 |
2010–2015 | 171 | 0.1 | 94 | 200 | 5.4 | 99.7 | 4.6 |
2011–2015 | 171 | 0.1 | 94 | 200 | 5.4 | 99.7 | 4.6 |
2012–2015 | 162 | 0.1 | 96 | 206 | 5.5 | 99.7 | 4.6 |
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Aguejdad, R. The Influence of the Calibration Interval on Simulating Non-Stationary Urban Growth Dynamic Using CA-Markov Model. Remote Sens. 2021, 13, 468. https://doi.org/10.3390/rs13030468
Aguejdad R. The Influence of the Calibration Interval on Simulating Non-Stationary Urban Growth Dynamic Using CA-Markov Model. Remote Sensing. 2021; 13(3):468. https://doi.org/10.3390/rs13030468
Chicago/Turabian StyleAguejdad, Rahim. 2021. "The Influence of the Calibration Interval on Simulating Non-Stationary Urban Growth Dynamic Using CA-Markov Model" Remote Sensing 13, no. 3: 468. https://doi.org/10.3390/rs13030468