Skip to main content
Log in

On the application of the Bootstrap to assess the risk of deficient annual inflows to a reservoir

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

The paper considers the problem of univariate model selection in order to assess the risk of sequences of deficient annual inflow sums to a reservoir. A selection criterion is proposed which emphasises the fit of a model to the lower tail of the empirical distribution function. The expectation of the discrepancy between the operating and approximating models is estimated using the Bootstrap algorithm. The Bootstrap is also used to estimate confidence intervals about an estimated percentile and these are compared to those found using conventional asymptotic estimators. Applications are given for three South African reservoirs.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Efron, B., 1982, The jackknife, the bootstrap and other resampling plans, CBMS-NSF Regional Conference Series in Applied Mathematics, Monograph 38, Society for Industrial and Applied Mathematics, Philadelphia.

    Google Scholar 

  • Efron, B., 1986, Better bootstrap confidence intervals, JASA 82, No. 397, 171–185.

    Google Scholar 

  • Linhart, H. and Zucchini, W., 1986, Model Selection, J. Wiley, New York.

    Google Scholar 

  • McMahon, T. A. and Srikanthan, R., 1982, Probability of extreme low flows of various durations, Proceedings of the Exeter Symposium. Optimal Allocation of Water Resources. IAHS Publications No. 135. pp 31–35.

  • Stedinger, J., 1983, Confidence intervals for design events J. Hydraul. Eng. Div., ASCE 109, 13–27.

    Google Scholar 

  • Zucchini, W. and Adamson, P. T., 1988, Bootstrap confidence intervals for design storms from exceedance series, Hydrological Sciences Journal, in press.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wucchini, W., Adamson, P.T. On the application of the Bootstrap to assess the risk of deficient annual inflows to a reservoir. Water Resour Manage 2, 245–254 (1988). https://doi.org/10.1007/BF00424657

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00424657

Key words

Navigation