Fractal, predictability index and variability in trends analysis of river-water dynamics

References

• Alper Tunga, M., 2012. Metin demiralp multivariate data modelling through piecewise generalized HDMR method. Journal of Mathematics Chemistry, 50 (7), 1711–1726. doi: 10.1007/s10910-012-0001-2
   Web of Science ®Google Scholar
• Bhardwaj, R. and Parmar, K.S., 2013a. Water quality index and fractal dimension analysis of water Parameters. International Journal of Environmental Science and Technology, 10 (1), 151–164. doi: 10.1007/s13762-012-0086-y
   Web of Science ®Google Scholar
• Bhardwaj, R. and Parmar, K.S., 2013b. Wavelet and statistical analysis of river water quality parameters. Applied Mathematics and Computation, 219 (29), 10172–10182.
   Google Scholar
• Bhardwaj, R. and Parmar, K.S., 2013c. Water quality management using statistical analysis and time series prediction model. Applied Water Science, doi:10.1007/s13201-014-0159-9
   Google Scholar
• Box, G.E.P., Jenkins, G.M., and Reinsel, G.C., 2008. Time series analysis: forecasting and control. 4th ed. Hoboken, NJ: John Wiley & Sons Inc.
   Google Scholar
• Chenini, I. and Khemiri, S., 2009. Evaluation of ground water quality using multiple linear regression and structural equation modeling. International Journal of Environmental Science Technology, 6 (3), 509–519. doi: 10.1007/BF03326090
   Web of Science ®Google Scholar
• CPCB, Water Quality Status of Yamuna River (1999–2005). 2006. Central Pollution Control Board, Ministry of Environment & Forests, Assessment and Development of River Basin Series: ADSORBS/41/2006-07.
   Google Scholar
• Dong, Q., 2013. Wanbiao Ma qualitative analysis of the chemostat model with variable yield and a time delay. Journal of Mathematical Chemistry, doi:10.1007/s10910-013-0144-9
   Web of Science ®Google Scholar
• Doyle, M.E. and Barros, V.R., 2011. Attribution of the river flow growth in the Plata Basin. International Journal of Climatology, 31 (15), 2234–2248. doi: 10.1002/joc.2228
   Web of Science ®Google Scholar
• Jain, P., Sharma, J.D., Sohu, D., and Sharma, P., 2005. Chemical analysis of drinking water of villages of Sanganer Tehsil Jaipur District. International Journal of Environmental Science Technology, 2 (4), 373–379.
   Google Scholar
• Kaatz, F.H. 2013. Adhemar Bultheel Statistical properties of carbon nanostructures. Journal of Mathematical Chemistry, doi:10.1007/s10910-012-0128-1
   Web of Science ®Google Scholar
• Kahya, E. and Kalayci, S., 2004. Trend analysis of streamflow in Turkey. Journal of Hydrology, 289 (1–4), 128–144. doi: 10.1016/j.jhydrol.2003.11.006
   Web of Science ®Google Scholar
• Kaskaoutis, D.G., Gautam, R., and Singh, R.P., 2012. Influence of anomalous dry conditions 519 on aerosols over India: transport distribution and properties. Journal of Geophysical Research, 117, doi: 10.1029/2011JD017314
   Web of Science ®Google Scholar
• Li, G., Rey-de-Castro, R., and Rabitz, H., 2012. Herschel D-MORPH regression for modeling with fewer unknown parameters than observation data. Journal of Mathematical Chemistry, 50 (7), 1747–1764. doi: 10.1007/s10910-012-0004-z
   Web of Science ®Google Scholar
• Lupikasza, E., 2010. Spatial and temporal variability of extreme precipitation in Poland in the period 1951–2006. International Journal of Climatology, 30 (7), 991–1007.
   Web of Science ®Google Scholar
• Park, J. and Park, C., 2009. Robust estimation of the Hurst parameter and selection of an onset scaling. Statistica Sinica, 19 (4), 1531–1555.
   Web of Science ®Google Scholar
• Parmar, K.S., Chugh, P., Minhas, P., and Sahota, H.S., 2009. Alarming pollution levels in rivers of Punjab Indian. Journal of Environmental Protection, 29 (11), 953–959.
   Google Scholar
• Prasad, B.G. and Narayana, T.S., 2004. Subsurface water quality of different sampling stations with some selected parameters at Machilipatnam Town. Nature Environment and Pollution Technology, 3, 47–50.
   Google Scholar
• Psargaonkar, A., Gupta, A., and Devotta, S., 2008. Multivariate analysis of ground water resources in Ganga-Yamuna Basin (India). Journal of Environmental Science & Engineering, 50 (3), 215–222.
   PubMedGoogle Scholar
• Rangarajan, G., 1997. A climate predictability index and its applications. Geophysical Research Letter, 24 (10), 1239–1242. doi: 10.1029/97GL01058
   Web of Science ®Google Scholar
• Rangarajan, G. and Ding, M., 2000. Integrated approach to the assessment of long range correlation in time series data. Physical Review E, 61 (5), 4991–5001. doi: 10.1103/PhysRevE.61.4991
   PubMed Web of Science ®Google Scholar
• Rangarajan, G. and Sant, D.A., 2004. Fractal dimensional analysis of Indian climatic Dynamics. Chaos Solitons and Fractals, 19 (2), 285–291. doi: 10.1016/S0960-0779(03)00042-0
   Web of Science ®Google Scholar
• Sachindra, D.A., Huang, F., Barton, A., and Perera, B.J.C., 2012. Least square support vector and multi-linear regression for statistically downscaling general circulation model outputs to catchment streamflows. International Journal of Climatology, doi:10.1002/joc.3493
   Web of Science ®Google Scholar
• Shukla, J.B., Misra, A.K., and Chandra, P., 2008. Mathematical modeling and analysis of the depletion of dissolved oxygen in eutrophied water bodies affected by organic pollutant. Non-Linear Analysis: Real World Applications, 9 (5), 1851–1865.
   Web of Science ®Google Scholar
• Toprak, Z.F., 2009. Flow Discharge modeling in open canals using a new fuzzy modeling technique (SMRGT). CLEAN-Soil Air Water, 37 (9), 742–752. doi: 10.1002/clen.200900146
   Web of Science ®Google Scholar
• Toprak, Z.F. and Cigizoglu, H.K., 2008. Predicting longitudinal dispersion coefficient in natural streams by artificial intelligence methods. Hydrol Process, 22 (20), 4106–4129. doi: 10.1002/hyp.7012
   Web of Science ®Google Scholar
• Toprak, Z.F., et al., 2009. Modeling monthly mean flow in a poorly gauged basin by fuzzy logic. CLEAN-Soil Air Water, 37 (7), 555–564. doi: 10.1002/clen.200800152
   Web of Science ®Google Scholar
• Toprak, Z.F. and Savci, M.E., 2007. Longitudinal dispersion coefficient modeling in natural channels using fuzzy logic. CLEAN-Soil Air Water, 35 (6), 626–637. doi: 10.1002/clen.200700122
   Web of Science ®Google Scholar
• Toprak, Z.F., Sen, Z., and Savci, M.E., 2004. Comment on Longitudinal dispersion coefficients in natural channels. Water Research, 38 (13), 3139–3143. doi: 10.1016/j.watres.2003.08.004
   PubMed Web of Science ®Google Scholar
• Underwood, F.M., 2012. Describing seasonal variability in the distribution of daily effective temperatures for 1985–2009 compared to 1904–1984 for De Bilt Holland. Meteorological Applications, doi:10.1002/met.1297
   Web of Science ®Google Scholar
• WHO. 1971. International standards for drinking water. Geneva: World Health Organization.
   Google Scholar
• Zhang, H., et al., 2010. Multi-scales association modeling of membrane water resistance indexes. Journal of Mathematical Chemistry, 48 (3), 720–732. doi: 10.1007/s10910-010-9705-3
   Web of Science ®Google Scholar
• Zhang, Q., Xu, C.Y., Chen, X., and Zhang, Z., 2011. Statistical behaviours of precipitation regimes in China and their links with atmospheric circulation 1960–2005. International Journal of Climatology, 31 (11), 1665–1678.
   Web of Science ®Google Scholar