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An Autocorrelation Analysis Approach to
       Detecting Land Cover Change using
        Hyper-Temporal Time-Series Data

W. Kleynhans         1,2   B.P. Salmon 1,2 J.C. Olivier       1   K.J. Wessels      2

                              F. van den Bergh 2

  1 Electrical   and Electronic Engineering, University of Pretoria, South Africa
2 Remote   Sensing Research Unit, Meraka Institute, CSIR, Pretoria, South Africa


                                  July 25, 2011
Outline

       Introduction

       Study Area

       Methodology

       Results

       Conclusion

       Examples




www.csir.co.za
Introduction


                 Remote sensing satellite data - effective way to monitor and
                 evaluate land cover changes
                 Bi-temporal change detection approach is not always
                 appropriate.
                 The temporal frequency should be high enough to distinguish
                 change events from natural phenological cycles.
                 Having a series of equally sampled acquisitions opens the door
                 for the utilization basic signal processing methods.
                 Temporal autocorrelation was effectively used as an input
                 feature for a change detection alarm.




www.csir.co.za
Problem statement


                 Settlement expansion is the most pervasive form of land cover
                 change in South Africa.
                 Objective is to develop a change alarm that is able to detect
                 the formation of new settlement developments.
                 These changes typically occur in areas that are naturally
                 vegetated.
                 Change events should be distinguished from natural
                 phenological cycles.




www.csir.co.za
Outline

       Introduction

       Study Area

       Methodology

       Results

       Conclusion

       Examples




www.csir.co.za
Study Area
                 The Gauteng province is located in northern South Africa and
                 covers a total area of approximately 17000 km2




                 592 natural vegetation and 372 settlement no-change MODIS
                 pixels were identified.
                 181 change MODIS pixels were identified.
                 Each pixel has a 7 year time-series (8 day composited:
                 2001-2007).
www.csir.co.za
Change example: Quickbird image in 2002




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Change example: Quickbird image in 2007




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Hyper temporal MODIS band 4 Time Series : No change




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Hyper temporal MODIS band 4 Time Series : Change




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Outline

       Introduction

       Study Area

       Methodology

       Results

       Conclusion

       Examples




www.csir.co.za
Temporal ACF method

       Assume time series in vector form:

                              X = Xn , n ∈ {1, 2, ..., N}             (1)

       The normalized ACF for time-series X:

                              E [(Xn − mean(X))(Xn+τ − mean(X))]
                 RXX (τ ) =                                           (2)
                                            var(X)
       Stationarity assumption: mean(X) and var(X) should be constant!

       Reflection time-series from nature very rarely adhere to this
       assumption but some do more than others...




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Temporal ACF method




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Change metric formulation




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Use of simulated change to determine detection parameters

                 Time-series of no change areas are relatively easy to obtain
                 but examples of real change is much more difficult.
                 Solution: Obtain only examples of no-change time-series and
                 simulate the change time-series using time-series blending.
                 Using simulated change the start and rate of change can be
                 controlled.
                 Start of change date was random using a uniform distribution
                 Duration of change was varied between 6 and 24 months.
                 Using a no-change and simulated change dataset, the optimal
                 band lag and threshold is determined (“off-line” optimization
                 phase)




www.csir.co.za
Use of simulated change to determine detection parameters


                      0.9
                                                                                Band 1
                     0.85                                                       Band 2
                                                                                Band 3
                      0.8                                                       Band 4
                                                                                Band 5
                     0.75
                                                                                Band 6
                                                                                Band 7
                                                                                NDVI
                 A




                      0.7
                 O




                     0.65


                      0.6


                     0.55


                      0.5
                            40   80   120   160       200     240   280   320        360

                                            Time Lag (Days)




www.csir.co.za
Opperational phase




       A pixel is labeled as having changed by evaluating the following,

                                  true      if R b (τ ) ≥ δτ
                                                           b∗
                    Change =
                                  false     if R b (τ ) < δτ ,
                                                           b∗




www.csir.co.za
Outline

       Introduction

       Study Area

       Methodology

       Results

       Conclusion

       Examples




www.csir.co.za
Results using simulated change

       Confusion Matrix, overall accuracy (OA ) and optimal threshold
       (δ ∗ ) showing the best land cover change detection performance
       during the off-line optimization phase using MODIS band 4 550 nm
       with a lag of 96 days


                               Simulated     No Change     δ∗     OA
                               change        (n=482)
                               (n=592)
         Change Detected       75.17%        14.73%        0.16   80.22%
         No Change Detected    24.83%        85.27%




www.csir.co.za
Results using real change

       Confusion Matrix, overall accuracy (OA ) and threshold (δ) for the
       case of real change detection using the MODIS band 4 (550 nm)
       with a lag of 96 days as determined during the off-line optimization
       phase


                                Real change    No Change      δ      OA
                                (n=181)        (n=482)
         Change Detected        92.27%         15.35%         0.16   88.46%
         No Change Detected     7.73%          84.65%




www.csir.co.za
Results : Timing of the change



                 Mean start of change   OA
                 2001/06                70.67%
                 2002/06                83.57%
                 2003/06                85.33%
                 2004/06                85.43%
                 2005/06                84.92%
                 2006/06                81.74%
                 2007/06                76.66%




www.csir.co.za
Outline

       Introduction

       Study Area

       Methodology

       Results

       Conclusion

       Examples




www.csir.co.za
Concluding remarks


                 A change metric can be formulated by selecting the lag that
                 shows the highest separability between the ACF of no-change
                 and simulated change time-series examples.
                 The optimal band lag and threshold selection is determined in
                 an “off-line” optimization phase.
                 After the detection parameters are determined, the method
                 was run blindly over the study area.
                 The method shows a slight decrease in performance if the
                 start of change is in the first or last year.




www.csir.co.za
Outline

       Introduction

       Study Area

       Methodology

       Results

       Conclusion

       Examples




www.csir.co.za
Example 1 - Before




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Example 1 - After




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Example 2 - Before




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Example 2 - After




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Example 3 - Before




www.csir.co.za
Example 3 - After




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Example 4 - Before




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Example 4 - After




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Example 5 - Before




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Example 5 - After




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Example 6 - Feb 2005




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Example 6 - May 2006




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Example 6 - Sep 2006




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Example 6 - May 2007




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Example 7 - Apr 2002




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Example 7 - Mar 2004




www.csir.co.za
Example 7 - Apr 2005




www.csir.co.za
Example 7 - May 2005




www.csir.co.za

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An Autocorrelation Analysis Approach to Detecting Land Cover Change using Hyper-Temporal Time-Series Data.pdf

  • 1. An Autocorrelation Analysis Approach to Detecting Land Cover Change using Hyper-Temporal Time-Series Data W. Kleynhans 1,2 B.P. Salmon 1,2 J.C. Olivier 1 K.J. Wessels 2 F. van den Bergh 2 1 Electrical and Electronic Engineering, University of Pretoria, South Africa 2 Remote Sensing Research Unit, Meraka Institute, CSIR, Pretoria, South Africa July 25, 2011
  • 2. Outline Introduction Study Area Methodology Results Conclusion Examples www.csir.co.za
  • 3. Introduction Remote sensing satellite data - effective way to monitor and evaluate land cover changes Bi-temporal change detection approach is not always appropriate. The temporal frequency should be high enough to distinguish change events from natural phenological cycles. Having a series of equally sampled acquisitions opens the door for the utilization basic signal processing methods. Temporal autocorrelation was effectively used as an input feature for a change detection alarm. www.csir.co.za
  • 4. Problem statement Settlement expansion is the most pervasive form of land cover change in South Africa. Objective is to develop a change alarm that is able to detect the formation of new settlement developments. These changes typically occur in areas that are naturally vegetated. Change events should be distinguished from natural phenological cycles. www.csir.co.za
  • 5. Outline Introduction Study Area Methodology Results Conclusion Examples www.csir.co.za
  • 6. Study Area The Gauteng province is located in northern South Africa and covers a total area of approximately 17000 km2 592 natural vegetation and 372 settlement no-change MODIS pixels were identified. 181 change MODIS pixels were identified. Each pixel has a 7 year time-series (8 day composited: 2001-2007). www.csir.co.za
  • 7. Change example: Quickbird image in 2002 www.csir.co.za
  • 8. Change example: Quickbird image in 2007 www.csir.co.za
  • 9. Hyper temporal MODIS band 4 Time Series : No change www.csir.co.za
  • 10. Hyper temporal MODIS band 4 Time Series : Change www.csir.co.za
  • 11. Outline Introduction Study Area Methodology Results Conclusion Examples www.csir.co.za
  • 12. Temporal ACF method Assume time series in vector form: X = Xn , n ∈ {1, 2, ..., N} (1) The normalized ACF for time-series X: E [(Xn − mean(X))(Xn+τ − mean(X))] RXX (τ ) = (2) var(X) Stationarity assumption: mean(X) and var(X) should be constant! Reflection time-series from nature very rarely adhere to this assumption but some do more than others... www.csir.co.za
  • 15. Use of simulated change to determine detection parameters Time-series of no change areas are relatively easy to obtain but examples of real change is much more difficult. Solution: Obtain only examples of no-change time-series and simulate the change time-series using time-series blending. Using simulated change the start and rate of change can be controlled. Start of change date was random using a uniform distribution Duration of change was varied between 6 and 24 months. Using a no-change and simulated change dataset, the optimal band lag and threshold is determined (“off-line” optimization phase) www.csir.co.za
  • 16. Use of simulated change to determine detection parameters 0.9 Band 1 0.85 Band 2 Band 3 0.8 Band 4 Band 5 0.75 Band 6 Band 7 NDVI A 0.7 O 0.65 0.6 0.55 0.5 40 80 120 160 200 240 280 320 360 Time Lag (Days) www.csir.co.za
  • 17. Opperational phase A pixel is labeled as having changed by evaluating the following, true if R b (τ ) ≥ δτ b∗ Change = false if R b (τ ) < δτ , b∗ www.csir.co.za
  • 18. Outline Introduction Study Area Methodology Results Conclusion Examples www.csir.co.za
  • 19. Results using simulated change Confusion Matrix, overall accuracy (OA ) and optimal threshold (δ ∗ ) showing the best land cover change detection performance during the off-line optimization phase using MODIS band 4 550 nm with a lag of 96 days Simulated No Change δ∗ OA change (n=482) (n=592) Change Detected 75.17% 14.73% 0.16 80.22% No Change Detected 24.83% 85.27% www.csir.co.za
  • 20. Results using real change Confusion Matrix, overall accuracy (OA ) and threshold (δ) for the case of real change detection using the MODIS band 4 (550 nm) with a lag of 96 days as determined during the off-line optimization phase Real change No Change δ OA (n=181) (n=482) Change Detected 92.27% 15.35% 0.16 88.46% No Change Detected 7.73% 84.65% www.csir.co.za
  • 21. Results : Timing of the change Mean start of change OA 2001/06 70.67% 2002/06 83.57% 2003/06 85.33% 2004/06 85.43% 2005/06 84.92% 2006/06 81.74% 2007/06 76.66% www.csir.co.za
  • 22. Outline Introduction Study Area Methodology Results Conclusion Examples www.csir.co.za
  • 23. Concluding remarks A change metric can be formulated by selecting the lag that shows the highest separability between the ACF of no-change and simulated change time-series examples. The optimal band lag and threshold selection is determined in an “off-line” optimization phase. After the detection parameters are determined, the method was run blindly over the study area. The method shows a slight decrease in performance if the start of change is in the first or last year. www.csir.co.za
  • 24. Outline Introduction Study Area Methodology Results Conclusion Examples www.csir.co.za
  • 25. Example 1 - Before www.csir.co.za
  • 26. Example 1 - After www.csir.co.za
  • 27. Example 2 - Before www.csir.co.za
  • 28. Example 2 - After www.csir.co.za
  • 29. Example 3 - Before www.csir.co.za
  • 30. Example 3 - After www.csir.co.za
  • 31. Example 4 - Before www.csir.co.za
  • 32. Example 4 - After www.csir.co.za
  • 33. Example 5 - Before www.csir.co.za
  • 34. Example 5 - After www.csir.co.za
  • 35. Example 6 - Feb 2005 www.csir.co.za
  • 36. Example 6 - May 2006 www.csir.co.za
  • 37. Example 6 - Sep 2006 www.csir.co.za
  • 38. Example 6 - May 2007 www.csir.co.za
  • 39. Example 7 - Apr 2002 www.csir.co.za
  • 40. Example 7 - Mar 2004 www.csir.co.za
  • 41. Example 7 - Apr 2005 www.csir.co.za
  • 42. Example 7 - May 2005 www.csir.co.za