Abstract
High H+ concentration of stream flow events were analyzed in terms of the probability of magnitude, frequency, duration, and time of occurrence. Simple methods of representing the timing and duration of high H+ concentration flows as stochastic variables are presented. Existing stochastic models are applied to the probability distributions of the annual frequency of high H' ion concentration flows and their magnitudes. A consideration of the statistical properties of the above stochastic variables leads to the development of a technique with which higher H+ concentration flow events exceeding any higher level of interest may be investigated without resorting to re-analysis of the historical data. The proposed methodology was applied to the daily H+ concentration flow records of two watersheds located in diverse hydrological and geochemical environments in Canada.
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References
Ashkar, F. and Rousselle, J.: 1981, Water Resources Research 17, 577.
Ashkar, F., El-Jabi, N., and Rousselle, J.: 1981, ‘Exploration of an Extreme Value Partial Time Series Model in Hydroscience’, in A. H. El-Shaarawi and S. R. Esterby (eds.) in Time Series Methods in Hydrosciences, Elsevier Scientific Publishing Company, pp. 76–92.
Bobba, A. G. and Lam, D. C. L.: 1985, ‘Application of Linearly Distributed Surface Runoff Model for Watershed Acidification Problems’, Proc. Canadian Hydrology Symposium, No. 15-1984, 1, 381.
Bobba, A. G. and Lam, D. C. L.: 1988, Can. J. Fisheries and Aquatic Sci. 45, (Suppl.); 81.
Bobba, A. G. and Lam, D. C. L.: 1989, Water. Air, and Soil Pollut. 46, 261.
Bobba, A. G. and Lam, D. C. L.: 1990, Ecological Modelling 50, 5.
Bobba, A. G. and Ventrsesca, U.: 1990, ‘User's Manual to Predict the Probability of Peak flows from Watersheds’, NWRI Unpublished Report
Bobba, A. G., Booty, W. G., and Lam, D. C. L.: 1990, EOS 71, 1317.
Bobba, A. G., Lam, D. C. L., and de Grosbois, E.: 1986, Hydrological Science and Technology 2, 37.
Booty, W. G., DePinto, J. V., and Scheffe, R. D.: 1988, Water Resour. Res. 24, 1024.
Brownlee, K. A.: 1965, Statistical Theory and Methodology in Science and Engineering, Wiley, New York, N.Y. 590P.
Chen, C. W., Gherini, S. A., Dean, J. D., Hudson, R. J. M., and Goldstein, R. A.: 1984, Water Resour. Res. 20, 1875.
Christophersen, N., Seip, H. M., and Wright, R. F.: 1982, Water Resourc. Res. 1985, Water Resour. Res. 21, 51.
Cosby, B. J., Hornberger, G. M., Galloway, J. N., and Wright, R. F.: 1985, Water Resour. Res. 21, 51.
Cramer, H. and Leadbetter, M. R.: 1967, Stationary and Related Stochastic Processes, Wiley, New York, N.Y. 348 p.
Lam, D. C. L. and Bobba, A. G.: 1985, ‘Modelling Watershed Runoffs and Basin Acidification. Hydrological and Hydrogeochemical Mechanisms and Model Approaches to the Acidification of Ecological Systems’, Nordic Hydrological Programme, NHP-Report#10, HIP-Workshop; Uppsala, Sept. 15–16,1984,205.
Lam, D. C. L., Boregowda, S., Bobba, A. G., Jeffries, D. S., and Patry, G. G.: 1986, Water, Air, and Soil Pollut. 31, 149.
Lam, D. C. L.: Bobba, A. G.; Jeffries, D. S.; and Craig, D.: 1988, Can. J. Fish. and Aquatic Sci. 45 (Suppl.), 72.
Lam, D. C. L., Bobba, A. G., Bourbonniere, R. A., Howell, G. and Thompson, M. E.: 1989, Water, Air, and Soil Pollut. 41, 277.
North, M.: 1980, J. Hydraulic. Div. Proc. ASCE 106, HY 5; 649.
Ross, S. M.: 1976, Introduction to Probability Models, Academic Press, New York, NY, 272 p.
Schnoor, J. L., Nikolaidis, N. P., and Glass, G. E.: 1986, J. Water Pollution Control Association 58, 139.
Taesombut, V. and Yevjevich, V.: 1978, ‘Use of Partial Flood Series for Estimating Distribution of Maximum Annual Flood Peak’. Colorado State University, Hydrology Paper 97, 71 p.
Toddorvic, P.: 1978, Water Resources Research 14, 345.
Todorvic, P. and Rousselle, J.: 1971, Water Resources Research 7, 1144.
Todorvic, P. and Woolhiser, D. A.: 1972, Water Resources Research 8, 1433.
Todorvic, P. and Zelenhasic, Z.: 1970, Water Resources Research 6, 1641.
Waylen, P. R.: 1981, ‘Analysis of Highflows in the Fraser River Catchment’, British Columbia, Unpub. Ph. D. Thesis, Dept. of Geography, McMaster University, 137 p.
Zelenhasic, E.: 1970, ‘Theoretical Probability Distribution for Flood Peaks’, Colorado State University, Hydrology Paper 42. 35 p.
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Bobba, A.G., Lam, D.C.L., Booty, W.G. et al. Stochastic analysis of acid shocks generated by mixed hydrological processes. Water Air Soil Pollut 53, 239–250 (1990). https://doi.org/10.1007/BF00170740
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DOI: https://doi.org/10.1007/BF00170740