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/ /9 /v S' <br />f eel- „ r+t 1 <br />BASIN STATES MODELING RESULTS MATRIX VERSION 6� <br />QUESTIONS ADDRESSED AND STATISTICAL APPROACH <br />20 year model runs (2006 to 20025) <br />➢ 90 hydrologic traces per year <br />"Point" statistics refer to the probability of occurrence in that particular year, and is <br />calculated as the number of occurrences divided by 90 possible occurrences <br />"Period" statistics refer the probability of occurrence any time within a specified <br />number of years. The approach to obtaining period statistics for each question is <br />detailed below: <br />1. What is the probability of incurring a shortage in the 5th, 10th, and 20th year (point), <br />and at any time over the next 5, 10, and 20 years (period)? <br />• CRSS -Lite model output slot: "Shortage Total Lower Basin Shortage" <br />• Output file has 90 traces across the x -axis, 20 years down the y -axis <br />• For each trace: <br />o 1 = at least one shortage during the specified time period <br />o 0 = no shortages during the specified.time period <br />• Result was 90 values across, either a 1 or 0 for each trace <br />• Probability = (sum of the 90 values) divided by (90) <br />2. What is the earliest a shortage occurs? <br />• CRSS -Lite model output slot: "Shortage Total Lower Basin Shortage" <br />• Output file has 90 traces across the x -axis, 20 years down the y -axis <br />• The first year of shortage, regardless of trace number, was observed and noted <br />• Result was one value for the entire run <br />What is the maximum shortage volume over the 5th, 10th, and 20th year (point), and at <br />any time over the next 5, 10, and 20 years (period)? <br />• CRSS -Lite model output slot: "Shortage Total Lower Basin Shortage" <br />• Output file has 90 traces across the x -axis, 20 years down the y -axis <br />• Shortage volume was summed for each trace over the specified time period <br />• The maximum volume from the resulting 90 values was noted for each period, <br />divided by 1,000 to convert to thousand - acre -feet (KAF) <br />4. What is the most probable Mead elevation in the 5th, 10th, and Nth year (point), and at <br />any time over the next 5, 10, and 20 years (period)? <br />CRSS -Lite model output slot: "Mead Pool Elevation" <br />Output file has 90 traces across the x -axis, 20 years down the y -axis <br />For each time period, the median value was noted <br />o 5 years = median of 90x5 values <br />o 10 years =median of 90x10 values <br />o 20 years = median of 90x20 values <br />USBR Draft Pagel of 3 9/19/2005 <br />