*** This course will be conducted in English if there are foreign students in this class. ***
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Hydrology is a branch of earth science focusing on water-related study. It is also an engineering discipline which deals with storage, discharge, and utilization of water. Almost all variables involved in hydrological processes exhibit certain degree of randomness. Either from a scientific or engineering point of view, understanding and characterizing the random nature of hydrological processes enables us to achieve sound water management practices. Stochastic hydrology is the study about characterizing the random nature of hydrological variables and establishing models that describe the spatial and temporal variations of these hydrological variables. In this course students will learn step by step from characterizing and simulating a single random variable to simulation of a random field which is composed of many correlated random variables in space. Stochastic simulation will be highly emphasized in class since it is the foundation for probability-based risk assessment. Familiarity of stochastic simulation will open a wide window of potential research and application subjects to students.