IN THIS PAGE IT WILL BE REGULARLY UPDATED (every 15th of the month) THE MAIN REFERENCES ON ENTROPY FUNCTION IN HYDROLOGY
This page is managed by Simon Michael Papalexiou (National Technical University of Athens) and by Federico Lombardo (Università degli Studi di Roma 3).
I update December 22, 2011 (62 references) thanks to Simon Michael Papalexiou
II update January 15, 2012 (4 references) thanks to Federico Lombardo
References with *star are the last update
Before 2003
Amorocho, J. & Espildora, B. (1973) Entropy in the assessment of uncertainty in hydrologic systems and models. Water Resources Research 9(6), PP. 1511-1522. doi:197310.1029/WR009i006p01511
Chapman, T. G. (1986) Entropy as a measure of hydrologic data uncertainty and model performance. Journal of Hydrology 85(1-2), 111-126. doi:10.1016/0022-1694(86)90079-X
Claps, P., Fiorentino, M. & Oliveto, G. (1996) Informational entropy of fractal river networks. Journal of Hydrology 187(1-2), 145-156. doi:10.1016/S0022-1694(96)03092-2
Dalezios, N. R. & Tyraskis, P. A. (1989) Maximum entropy spectra for regional precipitation analysis and forecasting. Journal of Hydrology 109(1-2), 25-42. doi:10.1016/0022-1694(89)90004-8
Havrda, J. & Charvát, F. (1967) Concept of structural a-entropy. Kybernetika 3, 30–35.
Jaynes, E. T. (1957) Information Theory and Statistical Mechanics. Physical review 106(4), 620. doi:10.1103/PhysRev.106.620
Jaynes, E. T. (1957) Information Theory and Statistical Mechanics. II. Physical review 108(2), 171. doi:10.1103/PhysRev.108.171
Jowitt, P. W. (1979) The extreme-value type-1 distribution and the principle of maximum entropy. Journal of Hydrology 42(1-2), 23-38. doi:10.1016/0022-1694(79)90004-0
Kawachi, T., Maruyama, T. & Singh, V. (2001) Rainfall entropy for delineation of water resources zones in Japan. Journal of Hydrology 246(1-4), 36-44. doi:10.1016/S0022-1694(01)00355-9
Krstanovic, P. F. & Singh, V. P. (1992) Evaluation of rainfall networks using entropy: I. Theoretical development. Water Resources Management 6(4), 279-293. doi:10.1007/BF00872281
Lind, N. C. & Hong, H. P. (1991) Entropy estimation of hydrological extremes. Stochastic Hydrology and Hydraulics 5(1), 77-87. doi:10.1007/BF01544180
Lind, N. C., Hong, H. P. & Solana, V. (1989) A cross entropy method for flood frequency analysis. Stochastic Hydrology and Hydraulics 3(3), 191-202. doi:10.1007/BF01543859
Padmanabhan, G. & Rao, A. R. (1988) Maximum entropy spectral analysis of hydrologic data. Water Resour. Res. 24(9), 1519-1533. doi:198810.1029/WR024i009p01519
Singh, V. (1997) Effect of class-interval size on entropy. Stochastic Hydrology and Hydraulics 11(5), 423-431. doi:10.1007/BF02427927
Singh, V. & Guo, H. (1997) Parameter estimation for 2-parameter generalized pareto distribution by POME. Stochastic Hydrology and Hydraulics 11(3), 211-227. doi:10.1007/BF02427916
Singh, V. P. (1987) On derivation of the extreme value (EV) type III distribution for low flows using entropy. Hydrological sciences journal 32(4), 521-533.
Singh, V. P. & Guo, H. (1995) Parameter estimation for 3-parameter generalized pareto distribution by the principle of maximum entropy (POME). Hydrological Sciences Journal 40(2), 165-181. doi:10.1080/02626669509491402
Singh, V. P., Guo, H. & Yu, F. X. (1993) Parameter estimation for 3-parameter log-logistic distribution (LLD3) by Pome. Stochastic Hydrology and Hydraulics 7(3), 163-177. doi:10.1007/BF01585596
Singh, V.P & Singh, K. (1985) Derivation of the Gamma Distribution by Using the Principle of Maximum Entropy (pome)1. JAWRA Journal of the American Water Resources Association 21(6), 941-952. doi:10.1111/j.1752-1688.1985.tb00189.x
Singh, V.P. (1987) On application of the Weibull distribution in hydrology. Water Resources Management 1(1), 33-43. doi:10.1007/BF00421796
Singh, V.P. (1997) The Use of Entropy in Hydrology and Water Resources. Hydrological Processes 11, 587–626.
Singh, Vijay P. & Singh, K. (1985) Derivation of the Pearson type (PT) III distribution by using the principle of maximum entropy (POME). Journal of Hydrology 80(3-4), 197-214. doi:10.1016/0022-1694(85)90117-9
Singh, Vijay P., Rajagopal, A. K. & Singh, K. (1986) Derivation of some frequency distributions using the principle of maximum entropy (POME). Advances in Water Resources 9(2), 91-106. doi:10.1016/0309-1708(86)90015-1
Solana-Ortega, A. & Solana, V. (2001) Entropy-based inference of simple physical models for regional flood analysis. Stochastic Environmental Research and Risk Assessment 15(6), 415-446. doi:10.1007/s004770100079
Sonuga, J. O. (1972) Principle of maximum entropy in hydrologic frequency analysis. Journal of Hydrology 17(3), 177-191. doi:10.1016/0022-1694(72)90003-0
Sonuga, J. O. (1976) Entropy principle applied to the rainfall-runoff process. Journal of Hydrology 30(1-2), 81-94. doi:10.1016/0022-1694(76)90090-1
Tsallis, C. (1988) Possible generalization of Boltzmann-Gibbs statistics. Journal of Statistical Physics 52(1), 479-487. doi:10.1007/BF01016429
Ulrych, T., Velis, D., Woodbury, A. & Sacchi, R. (2000) L-moments and C-moments. Stochastic Environmental Research and Risk Assessment 14(1), 50-68. doi:10.1007/s004770050004
2003
Markus, M., Knapp, H. & Tasker, G. (2003) Entropy and generalized least square methods in assessment of the regional value of streamgages. Journal of Hydrology 283(1-4), 107-121. doi:10.1016/S0022-1694(03)00244-0
Singh, V. & Deng, Z. (2003) Entropy-based parameter estimation for kappa distribution. Journal of Hydrologic Engineering 8(2), 81-92. doi:10.1061/(ASCE)1084-0699(2003)8:2(81)
2004
Kottegoda, N., Natale, L. & Raiteri, E. (2004) Some considerations of periodicity and persistence in daily rainfalls. Journal of Hydrology 296(1-4), 23-37. doi:10.1016/j.jhydrol.2004.03.001
Solana-Ortega, A. & Solana, V. (2004) Entropy inference of recurrence models for variability analysis of extreme events. Stochastic Environmental Research and Risk Assessment 18(3), 167-187. doi:10.1007/s00477-003-0148-2
2005
Agrawal, D., Singh, J. K. & Kumar, A. (2005) Maximum Entropy-based Conditional Probability Distribution Runoff Model. Biosystems Engineering 90(1), 103-113. doi:10.1016/j.biosystemseng.2004.08.003
Keylock, C. (2005) Describing the recurrence interval of extreme floods using nonextensive thermodynamics and Tsallis statistics. Advances in Water Resources 28(8), 773-778. doi:10.1016/j.advwatres.2005.02.011
Koutsoyiannis, D. (2005) Uncertainty, entropy, scaling and hydrological stochastics. 1. Marginal distributional properties of hydrological processes and state scaling. Hydrological Sciences Journal-Journal Des Sciences Hydrologiques 50(3), 381-404. doi:10.1623/hysj.50.3.381.65031
Koutsoyiannis, D. (2005) Uncertainty, entropy, scaling and hydrological stochastics. 2. Time dependence of hydrological processes and time scaling. Hydrological Sciences Journal-Journal Des Sciences Hydrologiques 50(3), 405-426. doi:10.1623/hysj.50.3.405.65028
Maruyama, T., Kawachi, T. & Singh, V. (2005) Entropy-based assessment and clustering of potential water resources availability. Journal of Hydrology 309(1-4), 104-113. doi:10.1016/j.jhydrol.2004.11.020
2006
Koutsoyiannis, D. (2006) An entropic-stochastic representation of rainfall intermittency: The origin of clustering and persistence. Water Resources Research 42(1). doi:10.1029/2005WR004175
2007
Hosking, J. R. M. (2007) Distributions with maximum entropy subject to constraints on their L-moments or expected order statistics. Journal of Statistical Planning and Inference 137(9), 2870-2891. doi:10.1016/j.jspi.2006.10.010
2008
Chen, Y.-C., Wei, C. & Yeh, H.-C. (2008) Rainfall network design using kriging and entropy. Hydrological Processes 22(3), 340-346. doi:10.1002/hyp.6292
Deng, J. & Pandey, M. D. (2008) Cross entropy quantile function estimation from censored samples using partial probability weighted moments. Journal of Hydrology 363(1-4), 18-31. doi:10.1016/j.jhydrol.2008.09.004
Hejazi, M. I., Cai, X. & Ruddell, B. L. (2008) The role of hydrologic information in reservoir operation - Learning from historical releases. Advances in Water Resources 31(12), 1636-1650. doi:10.1016/j.advwatres.2008.07.013
Koutsoyiannis, Demetris, Yao, H. & Georgakakos, A. (2008) Medium-range flow prediction for the Nile: a comparison of stochastic and deterministic methods. Hydrological Sciences Journal-Journal Des Sciences Hydrologiques 53(1), 142-164. doi:10.1623/hysj.53.1.142
Li, Z. & Zhang, Y.-K. (2008) Multi-scale entropy analysis of mississippi river flow. Stochastic Environmental Research and Risk Assessment 22(4), 507-512. doi:10.1007/s00477-007-0161-y
Liu, Q., Yang, Z. & Cui, B. (2008) Spatial and temporal variability of annual precipitation during 1961-2006 in Yellow River Basin, China. Journal of Hydrology 361(3-4), 330-338. doi:10.1016/j.jhydrol.2008.08.002
Perelman, L., Ostfeld, A. & Salomons, E. (2008) Cross Entropy multiobjective optimization for water distribution systems design. Water Resources Research 44(9). doi:10.1029/2007WR006248
Yoo, C., Jung, K. & Lee, J. (2008) Evaluation of rain gauge network using entropy theory: Comparison of mixed and continuous distribution function applications. Journal of Hydrologic Engineering 13(4), 226-235. doi:10.1061/(ASCE)1084-0699(2008)13:4(226)
2009
Hao, Z. & Singh, V. P. (2009) Entropy-based parameter estimation for extended Burr XII distribution. Stochastic Environmental Research and Risk Assessment 23(8), 1113-1122. doi:10.1007/s00477-008-0286-7
Mishra, A. K., Ozger, M. & Singh, V. P. (2009) An entropy-based investigation into the variability of precipitation. Journal of Hydrology 370(1-4), 139-154. doi:10.1016/j.jhydrol.2009.03.006
2010
Brunsell, N. A. (2010) A multiscale information theory approach to assess spatial-temporal variability of daily precipitation. Journal of Hydrology 385(1-4), 165-172. doi:10.1016/j.jhydrol.2010.02.016
Rigby, J. R. & Porporato, A. (2010) Precipitation, dynamical intermittency, and sporadic randomness. Advances in Water Resources 33(8), 923-932. doi:10.1016/j.advwatres.2010.04.008
Rubio-Alvarez, E. & McPhee, J. (2010) Patterns of spatial and temporal variability in streamflow records in south central Chile in the period 1952-2003. Water Resour. Res. 46. doi:10.1029/2009WR007982
Singh, V. P. (2010) Entropy theory for movement of moisture in soils. Water Resources Research 46. doi:10.1029/2009WR008288
Singh, V. P. (2010) Entropy theory for derivation of infiltration equations. Water Resources Research 46. doi:10.1029/2009WR008193
Weijs, S. V., Schoups, G. & Giesen, N. van de. (2010) Why hydrological predictions should be evaluated using information theory. Hydrology and Earth System Sciences 14(12), 2545-2558. doi:10.5194/hess-14-2545-2010
2011
Hao, Z. & Singh, V. P. (2011) Single-site monthly streamflow simulation using entropy theory. Water Resources Research 47. doi:10.1029/2010WR010208
Hasan, M. M. & Dunn, P. K. (2011) Entropy, consistency in rainfall distribution and potential water resource availability in Australia. Hydrological Processes 25(16), 2613-2622. doi:10.1002/hyp.8038
Khatibi, R. (2011) Evolutionary systemic modelling of practices on flood risk. Journal of Hydrology 401(1-2), 36-52. doi:10.1016/j.jhydrol.2011.02.006
*Koutsoyiannis, D. (2011) Hurst-Kolmogorov dynamics as a result of extremal entropy production. Physica A: Statistical Mechanics and its Applications 390(8), 1424–1432. doi:10.1016/j.physa.2010.12.035
*Montesarchio, V., Ridolfi, E., Russo, F. & Napolitano, F. (2011) Rainfall threshold definition using an entropy decision approach and radar data. Natural Hazards and Earth System Sciences 11, 2061–2074. doi:10.5194/nhess-11-2061-2011
Poveda, G. (2011) Mixed memory, (non) Hurst effect, and maximum entropy of rainfall in the tropical Andes. Advances in Water Resources 34(2), 243-256. doi:10.1016/j.advwatres.2010.11.007
*Ridolfi, E., Montesarchio, V., Russo, F. & Napolitano F. (2011) An entropy approach for evaluating the maximum information content achievable by an urban rainfall network. Natural Hazards and Earth System Sciences 11, 2075-2083. doi:10.5194/nhess-11-2075-2011
Singh, Vijay P. (2011) Hydrologic Synthesis Using Entropy Theory: Review. Journal of Hydrologic Engineering 16(5), 421-433. doi:10.1061/(ASCE)HE.1943-5584.0000332
Wang, J. & Bras, R. L. (2011) A model of evapotranspiration based on the theory of maximum entropy production. Water Resources Research 47. doi:10.1029/2010WR009392
2012
*Koutsoyiannis, D. (2012) Clausius-Clapeyron equation and saturation vapour pressure: simple theory reconciled with practice. European Journal of Physics 33(2), 295–305, 2012. doi:10.1088/0143-0807/33/2/295
Papalexiou, S.M. & Koutsoyiannis, D. (n.d.) Entropy based derivation of probability distributions: A case study to daily rainfall. Advances in Water Resources (0). doi:10.1016/j.advwatres.2011.11.007 (in press)
*Zhou, Y., Zhang, Q., Li, K. & Chen, X. (n.d.) Hydrological effects of water reservoirs on hydrological processes in the East River (China) basin: complexity evaluations based on the multi-scale entropy analysis. Hydrological Processes.