I am not clear about the transition matrix for a land change study. at what step of using GIS tools (like LCM ) I can get this transitional matrix tables??
The default procedure for determining the amount of change that will occur to some point in the future is by means of a Markhov Chain. A Markovian process is one in which the state of a system can be determined by knowing its previous state and the probablity of transitioning from each state to each other state. Using the earlier and later landcover maps along with the date specified, Markov figures out exactly how much land would be expeceted to transition from the later date (2010) to the prediction date.
To use the defult Markov transition probabilities first enter the prediction date. Then select the view the resulting markov matrix. This matrix can be edited and saved but all rows must sum to one**. If you edit the default matrix, you can always restore the original matrix.
Steps
1. Firstly, you have to create a lcm project or can use an existing one
2. Then, select the earlier land image file and its date (1988) and later land cover image (2010) and its date. ( Table 2 from your question)
3. Then, click transition potentials and select "Disturbance" from Sub-Model to be evaluated
4. Then, click Run Transition Sub-Model and select MLP Neural Network
5. Then click Change Prediction and select Change Demand Modeling. Then select Markov Chain and input Prediction Date (2025)
6. Then click view/edit matrix, a transitional probabilty matrix will be generated