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Probability of Deriving a Yearly Transition Probability Matrix for Land-Use Dynamics
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| Title: | Probability of Deriving a Yearly Transition Probability Matrix for Land-Use Dynamics |
| Authors: | Hasegawa, Shigeaki F. Browse this author | | Takada, Takenori Browse this author |
| Keywords: | land-use dynamics | | transition probability matrix | | yearly transition | | power root of matrix |
| Issue Date: | Nov-2019 |
| Publisher: | MDPI |
| Journal Title: | Sustainability |
| Volume: | 11 |
| Issue: | 22 |
| Start Page: | 6355 |
| Publisher DOI: | 10.3390/su11226355 |
| Abstract: | Takada's group developed a method for estimating the yearly transition matrix by calculating the mth power roots of a transition matrix with an interval of m years. However, the probability of obtaining a yearly transition matrix with real and positive elements is unknown. In this study, empirical verification based on transition matrices from previous land-use studies and Monte-Carlo simulations were conducted to estimate the probability of obtaining an appropriate yearly transition probability matrix. In 62 transition probability matrices of previous land-use studies, 54 (87%) could provide a positive or small-negative solution. For randomly generated matrices with differing sizes or power roots, the probability of obtaining a positive or small-negative solution is low. However, the probability is relatively large for matrices with large diagonal elements, exceeding 90% in most cases. These results indicate that Takada et al.'s method is a powerful tool for analyzing land-use dynamics. |
| Rights: | http://creativecommons.org/licenses/BY/4.0/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/76859 |
| Appears in Collections: | 低温科学研究所 (Institute of Low Temperature Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 長谷川 成明
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