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Probability Distributions for hydrology with R

1. Summary

A Probability distribution is a function that represents the probability of occurrence of a random variable. Probability distributions are used in various hydrological studies, particularly in studies of extreme flows, floods, etc.

Application case: Determination of maximum flows for different return periods.

2. Contents

The repository contains the following Probability Distributions and Frequency Tables developed in R:

  • Abramowitz, stegun and Masting tables ("t" y "F(z)")
  • 2-Parameter Log Normal Distribution
  • 3-Parameter Log Normal Distribution
  • Log Pearson Distribution
  • Normal Distribution
  • Pearson Distribution
  • Gumbel Distribution
  • Gumbel frequency factors
  • Normal frequency factors
  • Pearson frequency factors
  • Weibul frequency factors

the return times are: 2, 5, 10, 25, 50, 100, 200, 500, 1000 years.

3. References

[1] Monsalve, G. (1995). Hidrología en la Ingeniería. Bogotá, Colombia: Escuela Colombiana de Ingeniería.

[2] Villón, M. (2006). Hidrología Estadística. Costa Rica: Tecnológica de Costa Rica.

[3] Chow, V.; Maidment, D. & Mays, L. (1994) Hidrología Aplicada. Bogotá, Colombia: McGRAW-HILL INTERAMERICANA S.A.

4. Acknowledgments

To Mg. Eng. Jorge Gastelo Villanueva, Professor of statistical hydrology, UNMSM, and Harold Mendoza Romero.