Hybrid, Markov Chain-Based Model for Daily Streamflow Generation at Multiple Catchment Sites

A hybrid, seasonal, Markov chain-based model is formulated for daily streamflow generation at multiple sites of a watershed. Diurnal increments of the rising limb of the main channel hydrograph were stochastically generated using fitted, seasonally varying distributions in combination with an additive noise term, the standard deviation of which depended linearly on the actual value of the generated increment. Increments of the ascension hydrograph values at the tributary sites were related by third- or second-order polynomials to the main channel ones, together with an additive noise term, the standard deviation of which depended nonlinearly on the main channel’s actual increment value. The recession flow rates of the tributaries, as well as of the main channel, were allowed to decay deterministically in a nonlinear way. The model-generated daily values retain the short-term characteristics of the original measured time series (i.e., the general shape of the hydrograph) as well as the probability distribu...

[1]  H. Aksoy,et al.  Probabilistic approach to modelling of recession curves , 2001 .

[2]  John L. Nieber,et al.  Regionalized drought flow hydrographs from a mature glaciated plateau , 1977 .

[3]  P. Claps,et al.  Conceptually-based shot noise modeling of streamflows at short time interval , 1997 .

[4]  R. Sneyers,et al.  Inventaire des modeles de processus stochastiques applicables a la description des debits journaliers des rivieres , 1970 .

[5]  R. Quimpo.  Stochastic Analysis of Daily River Flow , 1968 .

[6]  Upmanu Lall,et al.  Streamflow simulation: A nonparametric approach , 1997 .

[7]  Jerson Kelman,et al.  A stochastic model for daily streamflow , 1980 .

[8]  Gideon Weiss,et al.  Shot noise models for the generation of synthetic streamflow data , 1977 .

[9]  J. P. O'Kane,et al.  Advances in theoretical hydrology: a tribute to James Dooge. , 1992 .

[10]  D. M. Sargent.  A simplified model for the generation of daily streamflows / Modèle simplifié pour la génération des événements d'écoulement total journaliers , 1979 .

[11]  J. Szilágyi.  On the Use of Semi‐Logarithmic Plots for Baseflow Separation , 1999, Ground water.

[12]  N. T. Kottegoda,et al.  Daily flow model based on rainfall occurrences using pulses and a transfer function , 1980 .

[13]  Zongxue Xu,et al.  Markov cross-correlation pulse model for daily streamflow generation at multiple sites , 2003 .

[14]  Erich J. Plate,et al.  A STOCHASTIC MODEL FOR THE SIMULATION OF DAILY FLOWS / Modèle stochastique pour la simulation des débits journaliers , 1977 .

[16]  Zongxue Xu,et al.  Markov Autocorrelation Pulse Model for Two Sites Daily Streamflow , 2001 .

[17]  Marc F. P. Bierkens,et al.  Analytically derived runoff models based on rainfall point processes. , 1990 .

[18]  W. R. Neuman,et al.  Daily Streamflow Simulation , 1969 .

[19]  A Statistical Analysis Of The Daily Streamflow Hydrograph And A Probability Distribution Of The Interarrival Times Of Peak Flows--Application To Indiana , 1984 .

[20]  R. Engle.  Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation , 1982 .

[21]  Paul A. DeBarry.  Watersheds: Processes, Assessment and Management , 2004 .

[22]  Akira Kawamura,et al.  Neural Networks for Rainfall Forecasting by Atmospheric Downscaling , 2004 .

[23]  P. Cowpertwait,et al.  A Neyman-Scott shot noise model for the generation of daily streamflow time series , 1992 .

[24]  Hafzullah Aksoy,et al.  Markov chain-based modeling techniques for stochastic generation of daily intermittent streamflows , 2003 .