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Mathematical Problems in Engineering
Volume 2018, Article ID 5739805, 10 pages
https://doi.org/10.1155/2018/5739805
Research Article

Scale Analysis and Correlation Study of Wildfire and the Meteorological Factors That Influence It

Fire Prevention Department, State Key Laboratory of Disaster Prevention & Reduction for Power Grid Transmission and Distribution Equipment, Changsha 410007, China

Correspondence should be addressed to Tejun Zhou; moc.621@8891nujetuohz

Received 24 February 2018; Revised 10 May 2018; Accepted 27 May 2018; Published 21 June 2018

Academic Editor: Hiroyuki Mino

Copyright © 2018 Jiazheng Lu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. G. M. Buendía, G. M. Viswanathan, and V. M. Kenkre, “Multifractality of random walks in the theory of vehicular traffic,” Physical Review E Statistical Nonlinear & Soft Matter Physics, vol. 78, no. 2, Article ID 056110, 2008. View at Google Scholar
  2. W. Jian-Jun, X. Shang-Yi, and S. Hui-Jun, “Detrended fluctuation analysis of time series in mixed traffic flow,” Acta Physica Sinica, vol. 60, no. 1, pp. 800–806, 2011 (Chinese). View at Google Scholar
  3. J. Xiong, S.-K. Chen, W. Wei, S. Liu, and W. Guan, “Multi-fractal detrended fluctuation analysis algorithm based identification method of scale-less range for multi-fractal charateristics of traffic flow,” Wuli Xuebao/Acta Physica Sinica, vol. 63, no. 20, 2014. View at Google Scholar · View at Scopus
  4. L. Jiang, N. Li, and X. Zhao, “Scaling behaviors of precipitation over China,” Theoretical Applied Climatology, pp. 1–8, 2015. View at Google Scholar
  5. Q.-G. Wang, W. Hou, Z.-H. Zheng, and R. Gao, “The long range correlation of East Asia's atmosphere,” Wuli Xuebao/Acta Physica Sinica, vol. 58, no. 9, pp. 6640–6650, 2009. View at Google Scholar · View at Scopus
  6. P. A. Varotsos, N. V. Sarlis, and E. S. Skordas, “Detrended fluctuation analysis of the magnetic and electric field variations that precede rupture,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 19, no. 2, Article ID 023114, 2009. View at Publisher · View at Google Scholar · View at Scopus
  7. J. M. Carlson and J. Doyle, “Highly optimized tolerance: A mechanism for power laws in designed systems,” Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, vol. 60, no. 2, pp. 1412–1427, 1999. View at Publisher · View at Google Scholar
  8. P. Bak, K. Chen, and C. Tang, “A forest-fire model and some thoughts on turbulence,” Physics Letters A, vol. 147, no. 5-6, pp. 297–300, 1990. View at Publisher · View at Google Scholar · View at Scopus
  9. B. Drossel and F. Schwabl, “Self-organized critical forest-fire model,” Physical Review Letters, vol. 69, no. 11, pp. 1629–1632, 1992. View at Publisher · View at Google Scholar · View at Scopus
  10. P. Grassberger and H. Kantz, “On a forest fire model with supposed self-organized criticality,” Journal of Statistical Physics, vol. 63, no. 3-4, pp. 685–700, 1991. View at Publisher · View at Google Scholar · View at Scopus
  11. B. D. Malamud, G. Morein, and D. L. Turcotte, “Forest fires: An example of self-organized critical behavior,” Science, vol. 281, no. 5384, pp. 1840–1842, 1998. View at Publisher · View at Google Scholar · View at Scopus
  12. W. Song, G. Liu, Y. Yu, and K. Satoh, “Asymptotic Power-law Distribution of Small Forest Fires,” Fire Safety Science, vol. 12, no. 2, pp. 66–73, 2003. View at Google Scholar
  13. W. Song, F. Weicheng, W. Binghong, and Z. Jianjun, “Self-organized criticality of forest fire in China,” Ecological Modelling, vol. 145, no. 1, pp. 61–68, 2001. View at Publisher · View at Google Scholar · View at Scopus
  14. W. Song, W. Fan, and B. Wang, “Influences of finite-size effects on the self-organized criticality of forest-fire model,” Chinese Science Bulletin, vol. 47, no. 3, pp. 177–180, 2002. View at Publisher · View at Google Scholar · View at Scopus
  15. A. Ganteaume, A. Camia, M. Jappiot, J. San-Miguel-Ayanz, M. Long-Fournel, and C. Lampin, “A review of the main driving factors of forest fire ignition over Europe,” Journal of Environmental Management, vol. 51, no. 3, pp. 651–662, 2013. View at Publisher · View at Google Scholar · View at Scopus
  16. H. Zheng, W. Song, and J. Wang, “Detrended fluctuation analysis of forest fires and related weather parameters,” Physica A: Statistical Mechanics and its Applications, vol. 387, no. 8-9, pp. 2091–2099, 2008. View at Publisher · View at Google Scholar · View at Scopus
  17. S. Weiguo, M. Jian, K. Satoh, and W. Jian, “ANN Analysis of Mult-i correlation Between Forest Fire Risk and Weather Parameters,” Engineering Science, vol. 8, no. 2, pp. 61–66, 2006 (Chinese). View at Google Scholar
  18. P. Bak, C. Tang, and K. Wiesenfeld, “Self-organized criticality,” Physical Review Letters, vol. 59, pp. 381–384, 1987. View at Publisher · View at Google Scholar · View at MathSciNet
  19. J. W. Kantelhardt, S. A. Zschiegner, E. Koscielny-Bunde, S. Havlin, A. Bunde, and H. E. Stanley, “Multifractal detrended fluctuation analysis of nonstationary time series,” Physica A: Statistical Mechanics and its Applications, vol. 316, no. 1–4, pp. 87–114, 2002. View at Publisher · View at Google Scholar · View at Scopus
  20. N. Xu, Dissertation The fractal and chaotic analysis of time series [Dissertation, thesis], Beijing Jiao tong, Beijing, China, 2010.
  21. B. Podobnik and H. E. Stanley, “Detrended cross-correlation analysis: a new method for analyzing two nonstationary time series,” Physical Review Letters, vol. 100, no. 8, Article ID 084102, 2008. View at Publisher · View at Google Scholar · View at Scopus
  22. A. Lin, P. Shang, and X. Zhao, “The cross-correlations of stock markets based on {DCCA} and time-delay DCCA,” Nonlinear Dynamics, vol. 67, no. 1, pp. 425–435, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  23. W. Zhou, “Multifractal detrended cross-correlation analysis for two nonstationary signals,” Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, vol. 77, no. 6, Article ID 066211, 2008. View at Publisher · View at Google Scholar · View at Scopus