Probability Distributions for hydrology with Python
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 Python 3.6:
- 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. Recommendations
- install following libraries: Math, Numpy, Statistics and Pandas.
- Download files and execute.
4. 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. Bgotá, Colombia: McGRAW-HILL INTERAMERICANA S.A.
5. Acknowledgments
To Mg. Eng. Jorge Gastelo Villanueva, Professor of statistical hydrology, UNMSM, and Harold Mendoza Romero, Engineering Bachelor.