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Spatially constrained forest cover dynamics using Markovian random processes

Author

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  • Oduor, Peter G.
  • Kotchman, L.
  • Nakamura, A.
  • Jenkins, S.
  • Ale, G.

Abstract

Essential to analyses of forest-cover change is application of geospatial empirical or semi-empirical models of transition potentials based on the likelihood that forest land would change to non-forested land or vice versa depending on prevailing conditions of land-use change. Modeling land-cover as a function of land-use aids in understanding pertinent land-cover dynamics. This can enable forecasting of ramifications of current conversion processes on land designated for agriculture or development. National Agricultural Statistics Service (NASS) grid data published by USDA for years 1997–2002 were used as preliminary inputs. Two prevalent transition probabilities were derived: probability of a pixel changing (a) from forested to non-forested, Pfnf and (b) from non-forested to forested, Pnff. These probabilities were determined for the years (i) 1999–2000, (ii) 2000–2001, (iii) 1999–2001, and (iv) 1999–2009 using decade stratification. The maximal transition probability ranges for forest to non-forest transition were higher for 1999–2000 and 1999–2001 transiting periods compared to 2000–2001. The maximal transition probability ranges for non-forest to forest transition were lower for 1999–2000 transiting period compared to 2000–2001, and 1999–2001 transiting periods. The analysis provided a glimpse on areas deemed prone to forest conversion and those that would immensely benefit from federally funded programs.

Suggested Citation

  • Oduor, Peter G. & Kotchman, L. & Nakamura, A. & Jenkins, S. & Ale, G., 2012. "Spatially constrained forest cover dynamics using Markovian random processes," Forest Policy and Economics, Elsevier, vol. 20(C), pages 36-48.
  • Handle: RePEc:eee:forpol:v:20:y:2012:i:c:p:36-48
    DOI: 10.1016/j.forpol.2012.02.005
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    References listed on IDEAS

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    1. Ching-Rong Lin & Joseph Buongiorno, 1998. "Tree Diversity, Landscape Diversity, and Economics of Maple-Birch Forests: Implications of Markovian Models," Management Science, INFORMS, vol. 44(10), pages 1351-1366, October.
    2. McCauley, Joseph L., 2007. "A comment on the paper “Stochastic feedback, nonlinear families of Markov processes, and nonlinear Fokker–Planck equations” by T.D. Frank," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 445-452.
    3. Nelson, Paul & Wang, Shuwen, 2007. "Dynamic reliability via computational solution of generalized state-transition equations for entry-time processes," Reliability Engineering and System Safety, Elsevier, vol. 92(9), pages 1281-1293.
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