About this Journal Submit a Manuscript Table of Contents
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 376010, 13 pages
http://dx.doi.org/10.1155/2012/376010
Research Article

New Optimal Weight Combination Model for Forecasting Precipitation

1School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
2The Key Laboratory of Water and Sediment Sciences, State Key Laboratory of Water Environment Simulation, School of Environment, Beijing Normal University, Beijing 100875, China

Received 9 February 2012; Accepted 21 March 2012

Academic Editor: Ming Li

Copyright © 2012 Song-shan Yang 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. X. H. Yang, D. X. She, Z. F. Yang, Q. H. Tang, and J. Q. Li, “Chaotic bayesian method based on multiple criteria decision making (MCDM) for forecasting nonlinear hydrological time series,” International Journal of Nonlinear Sciences and Numerical Simulation, vol. 10, no. 11-12, pp. 1595–1610, 2009. View at Scopus
  2. M. Li, C. Cattani, and S. Y. Chen, “Viewing sea level by a one-dimensional random function with long memory,” Mathematical Problems in Engineering, vol. 2011, Article ID 654284, 13 pages, 2011. View at Publisher · View at Google Scholar · View at Scopus
  3. K. W. Chau, “Particle swarm optimization training algorithm for ANNs in stage prediction of Shing Mun River,” Journal of Hydrology, vol. 329, no. 3-4, pp. 363–367, 2006. View at Publisher · View at Google Scholar · View at Scopus
  4. X. H. Yang, X. J. Zhang, X. X. Hu, Z. F. Yang, and J. Q. Li, “Nonlinear optimization set pair analysis model (NOSPAM) for assessing water resource renewability,” Nonlinear Processes in Geophysics, vol. 18, no. 5, pp. 599–607, 2011.
  5. K. W. Chau, C. L. Wu, and Y. S. Li, “Comparison of several flood forecasting models in Yangtze River,” Journal of Hydrologic Engineering, vol. 10, no. 6, pp. 485–491, 2005. View at Publisher · View at Google Scholar · View at Scopus
  6. J. X. Xu, Y. D. Liu, Z. Z. Zhang, and Y. B. Li, “Ordinal-set pair prediction model and application in Liao river basin,” in Computer Informatics Cybernetics and Applications, vol. 1 of Lecture Notes in Electrical Engineering 107, chapter 42, pp. 395–402, 2012.
  7. D. Broomhead and D. Lowe, “Multivariable functional interpolation and adaptive networks,” Complex Systems, vol. 2, pp. 321–355, 1988. View at Zentralblatt MATH
  8. M. Alp and H. K. Cigizoglu, “Suspended sediment load simulation by two artificial neural network methods using hydro meteorological data,” Environmental Modelling & Software, vol. 22, no. 1, pp. 2–13, 2007.
  9. Q. Duan, N. K. Ajami, X. Gao, and S. Sorooshian, “Multi-model ensemble hydrologic prediction using Bayesian model averaging,” Advances in Water Resources, vol. 30, no. 5, pp. 1371–1386, 2007. View at Publisher · View at Google Scholar · View at Scopus
  10. J. M. Bates and C. W. J. Granger, “The combination of forecasts,” Operational Research Quarterly, vol. 20, no. 4, pp. 451–468, 1969.
  11. J. P. Dickinson, “Some statistical results in the combination of forecasts,” Operational Research Quarterly, vol. 24, no. 2, pp. 253–260, 1973. View at Scopus
  12. J. P. Dickinson, “Some comments on the combination of forecasts,” Operational Research Quarterly, vol. 26, no. 1, pp. 205–210, 1975. View at Zentralblatt MATH · View at Scopus
  13. P. Newbold and C. W. J. Granger, “Experience with forecasting univariate time series and the combination of forecasts,” Journal of the Royal Statistical Society A, vol. 137, no. 2, pp. 131–146, 1974.
  14. M. Li and W. Zhao, “Visiting power laws in cyber-physical networking systems,” Mathematical Problems in Engineering, vol. 2012, Article ID 302786, 13 pages, 2012. View at Publisher · View at Google Scholar
  15. A. Y. Shamseldin and K. M. O'Connor, “A real-time combination method for the outputs of different rainfall-runoff models,” Hydrological Sciences Journal, vol. 44, no. 6, pp. 895–912, 1999. View at Scopus
  16. A. E. Raftery, F. Balabdaoui, T. Gneiting, and M. Polakowski, “Using Bayesian model averaging to calibrate forecast ensembles,” Monthly Weather Review, vol. 133, no. 5, pp. 1155–1174, 2005. View at Publisher · View at Google Scholar · View at Scopus
  17. C. T. Cheng, C. P. Ou, and K. W. Chau, “Combining a fuzzy optimal model with a genetic algorithm to solve multi-objective rainfall-runoff model calibration,” Journal of Hydrology, vol. 268, no. 1–4, pp. 72–86, 2002. View at Publisher · View at Google Scholar · View at Scopus
  18. N. K. Ajami, Q. Duan, X. Gao, and S. Sorooshian, “Multi-model combination techniques for hydrological forecasting: application to distributed model intercomparison project results,” Journal of Hydrometeorology, vol. 7, no. 8, pp. 755–768, 2006.
  19. X. H. Yang, Y. N. Guo, Y. Q. Li, and L. H. Geng, “Projection pursuit hierarchy model based on chaos real-code genetic algorithm for river health assessment,” Nonlinear Science Letters C, vol. 1, no. 1, pp. 1–13, 2011.
  20. A. Y. Shamseldin, K. M. O'Connor, and G. C. Liang, “Methods for combining the outputs of different rainfall-runoff models,” Journal of Hydrology, vol. 197, no. 1–4, pp. 203–229, 1997. View at Publisher · View at Google Scholar · View at Scopus
  21. N. Muttil and K. W. Chau, “Neural network and genetic programming for modelling coastal algal blooms,” International Journal of Environment and Pollution, vol. 28, no. 3-4, pp. 223–238, 2006. View at Publisher · View at Google Scholar · View at Scopus
  22. A. M. Taurino, C. Distante, P. Siciliano, and L. Vasanelli, “Quantitative and qualitative analysis of VOCs mixtures by means of a microsensors array and different evaluation methods,” Sensors and Actuators B, vol. 93, no. 1–3, pp. 117–125, 2003. View at Publisher · View at Google Scholar · View at Scopus
  23. I. Vilibic and N. Leder, “Long-term variations in the Mediterranean sea level calculated by spectral analysis,” Oceanologica Acta, vol. 19, no. 6, pp. 599–607, 1996. View at Scopus
  24. D. H. Fitzpatrick and S. B. Caroline, “Spectral analysis of pressure variations during combined air and water backwash of rapid gravity filters,” Water Research, vol. 33, no. 17, pp. 3666–3672, 1999. View at Publisher · View at Google Scholar · View at Scopus
  25. P. J. Brockwell and A. D. Richard, Time Series Theory and Methods, Springer; Chep, Berlin, Germany, 2001.
  26. G. M. Morris, D. S. Goodsell, R. S. Halliday et al., “Automated docking using a Lamarckian genetic algorithm and an empirical binding free energy function,” Journal of Computational Chemistry, vol. 19, no. 14, pp. 1639–1662, 1998. View at Scopus
  27. K. Deb, “An efficient constraint handling method for genetic algorithms,” Computer Methods in Applied Mechanics and Engineering, vol. 186, no. 2–4, pp. 311–338, 2000. View at Scopus
  28. X. B. Hu, M. S. Leeson, and E. L. Hines, “An effective genetic algorithm for network coding,” Computers and Operations Research, vol. 39, no. 5, pp. 952–963, 2012. View at Publisher · View at Google Scholar · View at Scopus