Laboratory for Remote Sensing Prof. KS Cheng

Hydrology and Spatial Modeling (RSLAB)

 

Professor Ke-Sheng Cheng

Dept of Bioenvironmental Systems Engineering &
Master Program in Statistics

National Taiwan University

Email: rslab@ntu.edu.tw

RSLAB_BSE_NTU
No. 1, Section 4, Roosevelt Road
Bioenvironmental Syst. Eng., National Taiwan University

  • Home
  • Prof. K.S. Cheng & Photo Gallery
  • CoursesClick to open the Courses menu
    • Applied Hydrology
    • Data Computation, Analysis and Visualization Using R
    • 2022 Hydrologic Frequency Analysis
    • Remote Sensing
    • Stochastic Hydroclimatic Modeling & Simulation
    • Stochastic Hydrology
  • ISEWR SeriesClick to open the ISEWR Series menu
    • ISEWR 2020
    • ISEWR 2019
  • Research Work and Publications
  • Contact Us

2022 Hydrologic Frequency Analysis (HFA-2022) 

水文頻率分析

Hydrologic frequency analysis (HFA) is the most fundamental work of all designs and engineering practices of water resources projects. Hydrologic processes are governed by physical laws while at the same time also exhibit natural variabilities both in space and in time. Statistics and stochastic models are widely used to characterize hydrologic variables and processes. Hydrologic frequency analysis is the study of hydrological extremes (for examples, droughts and floods). Although statistical theories form the basis of hydrologic frequency analysis, a good understanding of spatial and temporal variations of hydrologic processes is also essential. This course aims to conduct a comprehensive and thorough study of hydrologic frequency analysis with emphasis on balancing the statistical theories and hydrologic practices.

Hydrologic frequency analysis requires data analysis, computation, and simulation using computers. R is perhaps the most powerful computer language for statistical computing and graphics. R is not just a computer language, it is also a community of users of many different disciplines. Many R packages have been developed and can be used to aid in hydrologic frequency analysis. One of the goals of this course is to guide students to develop R codes that can be used in real-world practical applications of hydrologic frequency analysis.

  • 1 Introduction

    Hou-Long River Hydrologic Frequency Analysis
    Data description  

  • 2 Fundamentals of Hydrologic Frequency Analysis

  • 3 Preliminary Data Analysis

  • 4 Annual Maximum Series and Partial Duration Series

  • 5 Change Detection and Test of Independence  

  • 6 Goodness-of-fit Tests  (PPT1, PPT2)

    Probability plotting method

    Chi-square GOF test

    Kolmogrov-Smirnov GOF test

    • Stochastic simulation of the KS test critical values (R code)
    • Reference table of the KS test critical values

    GOF tests based on the L-moment ratios diagram (LMRD) 

    • LMRD of the Gaussian and Gumbel distributions
    • LMRD of the Pearson type III distribution
    • R code for sample-size dependent LMRD of the Gaussian, Gumbel, and PT3 distributions

    Model selection using information criteria

  • 7 Model selection based on the information criteria

  • 8 Parameter Estimation

    Homework 1
    Xin_Shi_Annual Max Flow.csv

    DLK_Qp.rds

  • 9 Uncertainty Analysis for HFA

    Homework 2
    Supplementary materials  

  • 10 Regional Frequency Analysis

  • 11 Spatiotemporal Modeling of Rainfall Extremes

  • 12 Extreme Value Theory

  • 13 Event-based Frequency Analysis   (HEC2021 Conference PPT)


  • 14 Nonstationary Frequency Analysis

  • 15 Hydrologic Frequency Analysis Under Climate Change

RSLAB - NTU

Prof. Ke-Sheng Cheng 


RSLAB_BSE_NTU
No. 1, Section 4, Roosevelt Road
Bioenvironmental Syst. Eng., National Taiwan University