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ARTIFICIAL NEURAL NETWORK
BASED URBAN GROWTH MODELLING


       Sandeep Maithani
          S/E “SE”
         HUSAD, IIRS
Need of Urban growth modelling

•Urban areas are growing at a very fast rate

•Need for Urban growth models to predict areas of future growth.

•So that proper infrastructure facilities can be provided in these areas
Gaps in urban growth modelling

• Subjectivity

• Model calibration is done by trail and error

• Complicatedness

• Models are non spatial in nature

•. Grossness.
Research Aims

•Reduce subjectivity in urban growth modelling

•Reduce the model calibration time
•Need to couple GIS and RS with urban growth models for
 modelling urban growth
In order to reduce the subjectivity and calibration time :

              Artificial Neural Network ( ANN) were used


• They are able to learn the patterns directly from the database without much
    human intervention
•   ANN make no assumption regarding the distributional properties of data
•   Mixture of data types can be used
•   No restrictions on using non numeric data
•   They can solve highly non linear problems
Urban growth = f ( dist. to city core,
                   dist. to road,
                   dist. to nearest built-up,
                   Percentage of built up in neighbourhod )



Urban growth = ANN ( dist. to city core,
                     dist. to road,
                    dist. to nearest built-up,
                    Percentage of built up in neighbourhod )
11 Feb.1997      23 Dec.2001




 13 March 2005
1997   Land cover maps of Dehradun
                     2001




                   2005
Urban Growth 1997-2001                               Urban Growth 2001-2005

797 ha. Changed from Non Built-up to Built-up   1108ha. Changed from Non Built-up to Built-up
Dist. to Roads




           Dist. to City Core



Four driving variable grids created in GIS




      Percentage of Built - up




Dist. to Built - up
Dist. to nearest built-up                 Dist. To city core              Dist. to roads        Density of built up in neighbourhod




                            dist. City core dist. Built-up dist. Road density Built-up
                                                                                           Target value
                             0.1677317      0.0031023    0.0072796          0.2
                                                                                                1
                             0.1676008      0.0031023    0.0025737         0.36
                                                                                                1
                             0.1675815      0.0031023    0.0025737          0.2
                                                                                                0
                             0.1674457      0.0043873    0.0081388         0.32
                                                                                                1
                             0.1672564      0.0031023    0.0156554          0.2
                                                                                                1
                             0.1672126      0.0043873    0.0025737         0.08
                                                                                                0
                             0.1669403      0.0031023    0.0072796         0.52
                                                                                                1
                             0.1669403      0.0031023    0.0072796         0.52
                                                                                                1
                             0.1664677      0.0031023    0.0077212         0.52
                                                                                                1
                             0.1659447      0.0031023     0.005755          0.2
                                                                                                1
                                   Training Data                              NN -output                      Urban growth 1997-01
                                                                                 0.7
                                                                                 0.8                               1=Growth
                                                                                 0.5                               0 = No growth
                                              ANN                               0.55
                                                                                 0.3
                                                                                  0
                                                                                 0.3
                                                                                 0.6
                                                                                 0.7
                                                                                 0.9
Multilayer perceptron (MLP) feed-forward Artificial neural network
                                    Network Architecture

 2400 Training samples

                                                                       Target Value=1

                                                                    0.85
                                                                     0.9



                                                                             e=1-.85
                                                                             e=1-.9
                                                   Output Layer
Input Layer               Hidden Layer
   Supervised back-propagation learning algorithm (BP) has been used for
  training the network

     Stopping criteria: 1. Fixed number of iterations take place 2. Error drops
     below a certain level 3. The network starts over training.
      Input Layer = 4 Neurons
     1200 Validation samples to prevent the network from overtraining
     1200 Testing samples to ( 1= the generalization capability of the neural network
      Output Layer =1 Neuron test Growth, 0= No Growth)
Network training
                              Input layer        Hidden layer        Output layer                              Remote sensing
 GIS database                                                                                                  data


                                    f1
                                    f2                                   Network output       Desired output
                                    f3                                                                      Change
                                                                                      Error
                                    f4                                                                      detection
         Training dataset

                                                                     Optimal
CA simulation                                                        weights


 Stop simulation                                         f’1                                       Potential for urban growth (P)
                            Database for study area      f’2
                                                         f’3
   yes                                            no
              Stopping criteria fulfilled                f’4
                                                                                          Masking of exclusionary areas

                Updation of database

                                         Allocate cell to built-up                            If P > threshold value
Network Architecture
     1.What should be the number of hidden layers

     2.What is the number of neurons in each hidden layer


The architecture of neural network was decided
1.Heuristically
2.Trial and error. more than 50 ANNs were designed

Heuristically :The number of nodes in a single hidden layer

Kanellopoulos and Wilkinson (1997)    3Ni
Hush (1989) 3Ni                                               3
Hecht-Nielsen (1987) 2Ni +1
Wang (1994b) 2Ni /3                                           9
Ripley (1993) (Ni+No)/2
Paola (1994) 2+No *Ni+1/2 No (Ni2+Ni) -3                      12
                        Ni + No

No is number of input nodes, Ni is number of output nodes
1. Trial and error. More than 50 ANNs were designed, using
   single and double hidden layer.

  4-6--1    4-3-3-1    4-6-3-1    4-9-3-1    4-12-3-1    4-15-3-1    4-18-3-1    4-21-3-1
  4-15--1   4-3-6-1    4-6-6-1    4-9-6-1    4-12-6-1    4-15-6-1    4-18-6-1    4-21-6-1
  4-18--1   4-3-9-1    4-6-9-1    4-9-9-1    4-12-9-1    4-15-9-1    4-18-9-1    4-21-9-1

  4-21--1 4-3-12-1     4-6-12-1   4-9-12-1   4-12-12-1   4-15-12-1   4-18-12-1   4-21-12-1
            4-3-15-1   4-6-15-1   4-9-15-1   4-12-15-1   4-15-15-1   4-18-15-1   4-21-15-1
            4-3-18-1   4-6-18-1   4-9-18-1   4-12-18-1   4-15-18-1   4-18-18-1   4-21-18-1
            4-3-21-1   4-6-21-1   4-9-21-1   4-12-21-1   4-15-21-1   4-18-21-1   4-21-21-1




                Network having a single hidden layer with 9 neurons
Dehradun




                                          Actual-2001
      Simulated-2001
     Moran index of 0.29             (Moran Index of 0.29 )
(Percentage accuracy of 74%)
Simulated-2005              Actual-2005
     Moran index of 0.33       (Moran Index of 0.30 )
(Percentage accuracy of 76%)
2011
Conclusions

•ANN helps to reduce the calibration time and
subjectivity in the modelling process

•GIS is used for handling of spatial data , to obtain site
attributes and training data for neural network.

• ANN  is used to reveal the relationships between future
urban growth probability and site attributes
Thank you for your
  kind attention!

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Iirs Artificial Naural network based Urban growth Modeling

  • 1. ARTIFICIAL NEURAL NETWORK BASED URBAN GROWTH MODELLING Sandeep Maithani S/E “SE” HUSAD, IIRS
  • 2. Need of Urban growth modelling •Urban areas are growing at a very fast rate •Need for Urban growth models to predict areas of future growth. •So that proper infrastructure facilities can be provided in these areas
  • 3. Gaps in urban growth modelling • Subjectivity • Model calibration is done by trail and error • Complicatedness • Models are non spatial in nature •. Grossness.
  • 4. Research Aims •Reduce subjectivity in urban growth modelling •Reduce the model calibration time •Need to couple GIS and RS with urban growth models for modelling urban growth
  • 5. In order to reduce the subjectivity and calibration time : Artificial Neural Network ( ANN) were used • They are able to learn the patterns directly from the database without much human intervention • ANN make no assumption regarding the distributional properties of data • Mixture of data types can be used • No restrictions on using non numeric data • They can solve highly non linear problems
  • 6. Urban growth = f ( dist. to city core, dist. to road, dist. to nearest built-up, Percentage of built up in neighbourhod ) Urban growth = ANN ( dist. to city core, dist. to road, dist. to nearest built-up, Percentage of built up in neighbourhod )
  • 7. 11 Feb.1997 23 Dec.2001 13 March 2005
  • 8. 1997 Land cover maps of Dehradun 2001 2005
  • 9. Urban Growth 1997-2001 Urban Growth 2001-2005 797 ha. Changed from Non Built-up to Built-up 1108ha. Changed from Non Built-up to Built-up
  • 10.
  • 11. Dist. to Roads Dist. to City Core Four driving variable grids created in GIS Percentage of Built - up Dist. to Built - up
  • 12. Dist. to nearest built-up Dist. To city core Dist. to roads Density of built up in neighbourhod dist. City core dist. Built-up dist. Road density Built-up Target value 0.1677317 0.0031023 0.0072796 0.2 1 0.1676008 0.0031023 0.0025737 0.36 1 0.1675815 0.0031023 0.0025737 0.2 0 0.1674457 0.0043873 0.0081388 0.32 1 0.1672564 0.0031023 0.0156554 0.2 1 0.1672126 0.0043873 0.0025737 0.08 0 0.1669403 0.0031023 0.0072796 0.52 1 0.1669403 0.0031023 0.0072796 0.52 1 0.1664677 0.0031023 0.0077212 0.52 1 0.1659447 0.0031023 0.005755 0.2 1 Training Data NN -output Urban growth 1997-01 0.7 0.8 1=Growth 0.5 0 = No growth ANN 0.55 0.3 0 0.3 0.6 0.7 0.9
  • 13. Multilayer perceptron (MLP) feed-forward Artificial neural network Network Architecture 2400 Training samples Target Value=1 0.85 0.9 e=1-.85 e=1-.9 Output Layer Input Layer Hidden Layer Supervised back-propagation learning algorithm (BP) has been used for training the network Stopping criteria: 1. Fixed number of iterations take place 2. Error drops below a certain level 3. The network starts over training. Input Layer = 4 Neurons 1200 Validation samples to prevent the network from overtraining 1200 Testing samples to ( 1= the generalization capability of the neural network Output Layer =1 Neuron test Growth, 0= No Growth)
  • 14. Network training Input layer Hidden layer Output layer Remote sensing GIS database data f1 f2 Network output Desired output f3 Change Error f4 detection Training dataset Optimal CA simulation weights Stop simulation f’1 Potential for urban growth (P) Database for study area f’2 f’3 yes no Stopping criteria fulfilled f’4 Masking of exclusionary areas Updation of database Allocate cell to built-up If P > threshold value
  • 15. Network Architecture 1.What should be the number of hidden layers 2.What is the number of neurons in each hidden layer The architecture of neural network was decided 1.Heuristically 2.Trial and error. more than 50 ANNs were designed Heuristically :The number of nodes in a single hidden layer Kanellopoulos and Wilkinson (1997) 3Ni Hush (1989) 3Ni 3 Hecht-Nielsen (1987) 2Ni +1 Wang (1994b) 2Ni /3 9 Ripley (1993) (Ni+No)/2 Paola (1994) 2+No *Ni+1/2 No (Ni2+Ni) -3 12 Ni + No No is number of input nodes, Ni is number of output nodes
  • 16. 1. Trial and error. More than 50 ANNs were designed, using single and double hidden layer. 4-6--1 4-3-3-1 4-6-3-1 4-9-3-1 4-12-3-1 4-15-3-1 4-18-3-1 4-21-3-1 4-15--1 4-3-6-1 4-6-6-1 4-9-6-1 4-12-6-1 4-15-6-1 4-18-6-1 4-21-6-1 4-18--1 4-3-9-1 4-6-9-1 4-9-9-1 4-12-9-1 4-15-9-1 4-18-9-1 4-21-9-1 4-21--1 4-3-12-1 4-6-12-1 4-9-12-1 4-12-12-1 4-15-12-1 4-18-12-1 4-21-12-1 4-3-15-1 4-6-15-1 4-9-15-1 4-12-15-1 4-15-15-1 4-18-15-1 4-21-15-1 4-3-18-1 4-6-18-1 4-9-18-1 4-12-18-1 4-15-18-1 4-18-18-1 4-21-18-1 4-3-21-1 4-6-21-1 4-9-21-1 4-12-21-1 4-15-21-1 4-18-21-1 4-21-21-1 Network having a single hidden layer with 9 neurons
  • 17. Dehradun Actual-2001 Simulated-2001 Moran index of 0.29 (Moran Index of 0.29 ) (Percentage accuracy of 74%)
  • 18. Simulated-2005 Actual-2005 Moran index of 0.33 (Moran Index of 0.30 ) (Percentage accuracy of 76%)
  • 19. 2011
  • 20. Conclusions •ANN helps to reduce the calibration time and subjectivity in the modelling process •GIS is used for handling of spatial data , to obtain site attributes and training data for neural network. • ANN is used to reveal the relationships between future urban growth probability and site attributes
  • 21. Thank you for your kind attention!