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CVEN 675 Stochastic Hydrology Professor Anthony Cahill
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What is Stochastic Hydrology (and why would want to take it)? We often have measurements of system behavior, but not enough knowledge of physics Model our lack of knowledge as a random (stochastic) element Allows us to make predictions of system behavior (within some confidence limits)
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Examples – Streamflow time series USGS has gauging stations throughout US We’d like to predict streamflow – estimate flooding, recession, water availability, etc.
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Streamflow time series, cont. Difference between streamflow time series and rolling dice – dependence of sequential observations Can we model the time series (for understanding)?
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Streamflow time series, cont. Can we predict the streamflow in future based on past behavior (forecasting)?
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Example – Rainfall time series Different than river time series – intermittant in time, but still dependence
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Rainfall time series cont. Use a different method than streamflow time series for modeling and prediction
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Frequency analysis – flood frequency, storm frequency and extreme values Change the time period of interest so that events are independent – usually annual maximum event
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Frequency analysis, cont. Used extensively for planning, runoff estimation, etc. We are working with rare extreme events Need to treat tails carefully
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Spatial statistical methods Spatial data sets ubiquitous in hydrology –Rain gauge data –Hydraulic conductivity –Soil moisture
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Spatial statistics cont. Optimal interpolation of point data – “kriging” This is both modeling and prediction Very useful in GIS – built into ArcGIS (I think)
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If time permits… Fractals in hydrology Stochastic groundwater models
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Housekeeping Books –Brockwell and Davis, Introduction to Time Series and Forecasting, 2 nd ed. –Isaaks and Srivastava, Applied Geostatistics Software –In Brockwell and Davis –I will provide some –You will write some
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Class Web Page http://ceprofs.tamu.edu/cahill/teaching675.html I’ll put stuff up there Including syllabus
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Grading Homework – 30% Two tests – 20% each –First test in in-class –Second test is a takehome due the day of the final (i.e. no in class final), which is Monday, December 15, 8AM. Project – 30%
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Project Explore some question of interest to you in stochastic hydrology Required: a paper – can be analysis or review Start thinking – due dates –Topic – October 1 –1 st draft – November 19 –Final version – December 15 You can talk to me about project anytime
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Classroom This course is TTVN to Corpus Christi We will meet in WERC 049 Get used to disembodied interruptions I will not be using Power Point usually I will be using software
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