Ecological Archives A020-039-A1

Annett Baasch, Sabine Tischew, and Helge Bruelheide. 2010. Twelve years of succession on sandy substrates in a post-mining landscape: A Markov chain analysis. Ecological Applications 20:1136–1147.

Appendix A. Example with fictitious data to illustrate the process from survey-type data to a transition matrix for a single grid cell. Let us assume a grid cell (100 m2) at time t with three states (S1=40 m2, S2=55 m2, S3=5 m2) and at t +1 with four states (S1=30 m2, S2=50 m2, S3=15 m2, S4=5 m2).

TABLE A1. Contingency table for a single grid cell based on formulas 4–5.


to state

S1

S2

S3

S4

(t)

from state

S1

30

0

6.67

3.33

40

 

S2

0

50

3.33

1.67

55

S3

0

0

5

0

5

S4

0

0

0

0

0

 

(t+1)

30

50

15

5

110


 

TABLE A2. Transition matrix P for a single grid cell (formula 6).


to state

S1

S2

S3

S4

from state

S1

0.75

0.00

0.17

0.08

1.00

S2

0.00

0.91

0.06

0.03

1.00

S3

0.00

0.00

1.00

0.00

1.00

 

S4

0.00

0.00

0.00

0.00

0.00


 


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