REFERENCES

• Ad Hoc Panel on Hydrology 1962. Scientific hydrology. Washington, DC: US Federal Council for Science and Technology.
   Google Scholar
• Ammon, C.J., Lay, T., and Simpson, D.W., 2010. Great earthquakes and global seismic networks. Seismological Research Letters, 81, 965–971, doi:10.1785/gssrl.81.6.965.
   Web of Science ®Google Scholar
• Beran, J., 1994. Statistics for long-memory processes. New York: Chapman and Hall.
   Google Scholar
• Brohan, P., et al., 2006. Uncertainty estimates in regional and global observed temperature changes: a new dataset from 1850. Journal of Geophysical Research, doi:10.1029/2005JD006548.
   PubMed Web of Science ®Google Scholar
• Christofides, A. and Koutsoyiannis, D., 2011. God and the arrogant species: contrasting nature’s intrinsic uncertainty with our climate simulating supercomputers. In: 104th Annual conference & exhibition [online]. Orlando, FL: Air & Waste Management Association. Available from: http://itia.ntua.gr/1153/ [Accessed 6 May 2013].
   Google Scholar
• Dansgaard, W., et al., 1993. Evidence for general instability in past climate from a 250-kyr ice-core record. Nature, 364, 218–220.
   Web of Science ®Google Scholar
• Di Matteo, T., et al., 2008. Direct cosmological simulations of the growth of black holes and galaxies. The Astrophysical Journal, 676 (1), 33–53.
   Web of Science ®Google Scholar
• Gneiting, T. and Schlather, M., 2004. Stochastic models that separate fractal dimension and the Hurst effect. Society for Industrial and Applied Mathematics Review, 46 (2), 269–282.
   Web of Science ®Google Scholar
• Hurst, H.E., 1951. Long term storage capacities of reservoirs. Transactions of the American Society of Civil Engineers, 116, 776–808.
   Google Scholar
• Huybers, P., 2007. Glacial variability over the last two million years: an extended depth derived age model, continuous obliquity pacing, and the Pleistocene progression. Quaternary Science Reviews, 26 (1–2), 37–55.
   Web of Science ®Google Scholar
• Jouzel, J., et al., 2007. EPICA Dome C ice core 800KYr deuterium data and temperature estimates. Boulder, CO: IGBP PAGES/World Data Center for Paleoclimatology, 2007-091 NOAA/NCDC Paleoclimatology Program.
   Google Scholar
• Kang, H.S., Chester, S., and Meneveau, C., 2003. Decaying turbulence in an active-grid-generated flow and comparisons with large-eddy simulation. Journal of Fluid Mechanics, 480, 129–160.
   Web of Science ®Google Scholar
• Klemeš, V., 1974. The Hurst phenomenon: a puzzle? Water Resources Research, 10 (4), 675–688.
   Web of Science ®Google Scholar
• Kolmogorov, A.N., 1940. Wiener spirals and some other interesting curves in a Hilbert space. Dokl. Akad. Nauk SSSR, 26, 115–118. English translation in: V.M. Tikhomirov, ed., 1991. Selected works of A.N. Kolmogorov, Volume I: Mathematics and mechanics, 324–326. Berlin: Springer.
   Google Scholar
• Kolmogorov, A.N., 1941. Dissipation of energy in isotropic turbulence, Dokl. Akad. Nauk SSSR, 32 (1), 19–21 English translation in: V.M. Tikhomirov, ed., 1991. Selected works of A.N. Kolmogorov: Volume I: Mathematics and mechanics, 303–307. Berlin: Springer.
   Google Scholar
• Koutsoyiannis, D., 2002. The Hurst phenomenon and fractional Gaussian noise made easy. Hydrological Sciences Journal, 47 (4), 573–595.
   Web of Science ®Google Scholar
• Koutsoyiannis, D., 2003. Climate change, the Hurst phenomenon, and hydrological statistics. Hydrological Sciences Journal, 48 (1), 3–24.
   Web of Science ®Google Scholar
• Koutsoyiannis, D., 2010. HESS Opinions “A random walk on water”. Hydrology and Earth System Sciences, 14, 585–601.
   Web of Science ®Google Scholar
• Koutsoyiannis, D., 2011a. Hurst-Kolmogorov dynamics as a result of extremal entropy production. Physica A: Statistical Mechanics and its Applications, 390 (8), 1424–1432.
   Web of Science ®Google Scholar
• Koutsoyiannis, D., 2011b. Hurst-Kolmogorov dynamics and uncertainty. Journal of the American Water Resources Association, 47 (3), 481–495.
   Web of Science ®Google Scholar
• Koutsoyiannis, D., 2012. Reconciling hydrology with engineering. In: IDRA 2012—XXXIII Conference of hydraulics and hydraulic engineering [online], Brescia. Available from: http://itia.ntua.gr/1235/ [Accessed 6 May 2013].
   Google Scholar
• Koutsoyiannis, D., 2013. Encolpion of stochastics: fundamentals of stochastic processes [online]. Athens: National Technical University of Athens. Available from: http://itia.ntua.gr/1317/ [Accessed 6 May 2013].
   Google Scholar
• Koutsoyiannis, D. and Georgakakos, A., 2006. Lessons from the long flow records of the Nile: determinism vs indeterminism and maximum entropy. In: 20 Years of nonlinear dynamics in geosciences [online], Rhodes. Available from: http://itia.ntua.gr/841/ [Accessed 6 May 2013].
   Google Scholar
• Koutsoyiannis, D. and Langousis, A., 2011, Precipitation. In: P. Wilderer and S. Uhlenbrook, eds. Treatise on water science. Oxford: Academic Press, 2, 27–78.
   Google Scholar
• Koutsoyiannis, D., Mamassis, N., and Tegos, A., 2007. Logical and illogical exegeses of hydrometeorological phenomena in ancient Greece. Water Science and Technology: Water Supply, 7 (1), 13–22.
   Google Scholar
• Koutsoyiannis, D. and Montanari, A., 2007. Statistical analysis of hydroclimatic time series: uncertainty and insights. Water Resources Research, 43 (5), W05429, doi:10.1029/2006WR005592.
   Web of Science ®Google Scholar
• Koutsoyiannis, D., Yao, H., and Georgakakos, A., 2008. Medium-range flow prediction for the Nile: a comparison of stochastic and deterministic methods. Hydrological Sciences Journal, 53 (1), 142–164.
   Web of Science ®Google Scholar
• Koutsoyiannis, D., et al., 2009. Climate, hydrology, energy, water: recognizing uncertainty and seeking sustainability. Hydrology and Earth System Sciences, 13, 247–257.
   Web of Science ®Google Scholar
• Lohle, C., 2007. A 2000-year global temperature reconstruction based on non-treering proxies. Energy and Environment, 18 (7–8), 1049–1058.
   Google Scholar
• Mandelbrot, B.B. and van Ness, J.W., 1968. Fractional Brownian motion, fractional noises and applications. SIAM Review, 10, 422–437.
   Web of Science ®Google Scholar
• Markonis, Y. and Koutsoyiannis, D., 2013. Climatic variability over time scales spanning nine orders of magnitude: Connecting Milankovitch cycles with Hurst-Kolmogorov dynamics. Surveys in Geophysics, 34 (2), 181–207.
   Web of Science ®Google Scholar
• Michel, J.-B., et al., 2011. Quantitative analysis of culture using millions of digitized books. Science, 331 (6014), 176–182.
   PubMed Web of Science ®Google Scholar
• Moberg, A., et al., 2005. Highly variable Northern Hemisphere temperatures reconstructed from low- and high-resolution proxy data. Nature, 433 (7026), 613–617.
   PubMed Web of Science ®Google Scholar
• Montanari, A. and Koutsoyiannis, D. 2012. A blueprint for process-based modeling of uncertain hydrological systems. Water Resources Research, 48, W09555, doi:10.1029/2011WR011412.
   Web of Science ®Google Scholar
• Montanari, A., et al., 2013. “Panta Rhei—Everything Flows”: Change in hydrology and society—The IAHS Scientific Decade 2013–2022. Hydrological Sciences Journal, 58 (6 ), doi:10.1080/02626667.2013.809088.
   Web of Science ®Google Scholar
• Papoulis, A., 1991. Probability, random variables, and stochastic processes. 3rd ed. New York: McGraw-Hill.
   Google Scholar
• Shiryaev, A.N., 1999. Kolmogorov and the Turbulence. Centre for Mathematical Physics and Stochastics, University of Aarhus Available from http://webdoc.sub.gwdg.de/ebook/e/2002/maphysto/cgi-bin/w3-msql/publications/genericpublication.html@publ=100.htm
   Google Scholar
• Stager, J.C., et al., 2011. Catastrophic drought in the Afro-Asian monsoon region during Heinrich event. Science, doi:10.1126/science.1198322.
   PubMed Web of Science ®Google Scholar
• Steig, E.J., et al., 2000. Wisconsinan and Holocene climate history from an ice core at Taylor Dome, Western Ross Embayment, Antarctica. Geografiska Annaler: Series A, Physical Geography 82 (2–3), 213–235.
   Web of Science ®Google Scholar
• Sutcliffe, J.V. and Petersen, G., 2007. Lake Victoria: derivation of a corrected natural water level series. Hydrological Sciences Journal, 52 (6), 1316–1321.
   Web of Science ®Google Scholar
• Toussoun, O., 1925. Mémoire sur l’histoire du Nil. Mémoire de l’Institut d’Egypte, 18, 366–404.
   Google Scholar
• UNESCO (United Nations Educational, Scientific and Cultural Organization), 1963. Preparatory meeting on the long-term programme of research in scientific hydrology. Paris: UNESCO. Available from: http://unesdoc.unesco.org/images/0001/000173/017325EB.pdf
   Google Scholar
• UNESCO (United Nations Educational, Scientific and Cultural Organization), 1964. International Hydrological Decade. Intergovernmental Meeting of Experts. Paris: UNESCO. Available from: http://unesdoc.unesco.org/images/0001/000170/017099EB.pdf
   Google Scholar
• Veizer, J., et al., 2000. 87Sr/86Sr, d13C and d18O evolution of Phanerozoic seawater. Chemical Geology, 161, 59–88.
   Web of Science ®Google Scholar
• Zachos, J., et al., 2001. Trends, rhythms, and aberrations in global climate 65 Ma to present. Science, 292 (5517), 686–693.
   PubMed Web of Science ®Google Scholar