2009
DOI: 10.1007/s10980-009-9433-x
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Derivation of a yearly transition probability matrix for land-use dynamics and its applications

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Cited by 116 publications
(95 citation statements)
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“…Such comparisons allow for estimating annual rates of change during the analyzed period, frequently by means of a Markov matrix. A Markov matrix expresses the proportion of a given land cover that would be transformed to another land cover type, assuming that the observed trends will remain the same (stationary process), thus allowing their projection to the future [48]. Furthermore, a statistical analysis allows for relating factors of change (such as slope or accessibility) to the observed changes.…”
Section: Training or Calibration Of The Modelmentioning
confidence: 99%
“…Such comparisons allow for estimating annual rates of change during the analyzed period, frequently by means of a Markov matrix. A Markov matrix expresses the proportion of a given land cover that would be transformed to another land cover type, assuming that the observed trends will remain the same (stationary process), thus allowing their projection to the future [48]. Furthermore, a statistical analysis allows for relating factors of change (such as slope or accessibility) to the observed changes.…”
Section: Training or Calibration Of The Modelmentioning
confidence: 99%
“…The algorithm proposed by Urban and Wallin (2002) could not always be validated (data not shown). The determination of these annual probabilities seems more difficult than expected, and requires a profound mathematical analysis, as shown by Takada et al (2010).…”
Section: Measuring Anthropogenic Patternsmentioning
confidence: 99%
“…If the date being projected in the future is not an even multiple of the training period, the derivation of a yearly transition probability matrix is required. Previous studies used a linear algebraic formula of the power root of matrices to generate this annual matrix, but several difficulties arise by this approach as discussed in the study of Takada, Miyamoto, and Hasegawa (2010).…”
Section: Stochastic Modelling and Future Projectionsmentioning
confidence: 99%