Murphy, A.H. & Winkler, R.L. (1974). Credible Interval Temperature Forecasting: Some Experimental Results. IIASA Research Report. IIASA, Laxenburg, Austria: RR74012

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Abstract
This paper describes the results of an experiment involving credible interval temperature forecasts. A credible interval is an interval of values of the variable of concern, in this case maximum or minimum temperature, accompanied by a probability which expresses a forecaster's "degree of belief" that the temperature will fall in the given interval. The experiment was designed to investigate the ability of forecasters to express the uncertainty inherent in their temperature forecasts in probabilistic terms and to compare two approaches (variablewidth and fixedwidth intervals) to credible interval temperature forecasting.
Four experienced weather forecasters participated in the experiment, which was conducted at the National Weather Service Forecast Office in Denver, Colorado. Two forecasters made variablewidth, fixedprobability forecasts using 50% and 75% intervals, while the other two forecasters made fixedwidth, variableprobability forecasts using 5 degree F and 9 degree F intervals. On each occasion the forecasters first determined a median, and the variablewidth and fixedwidth intervals were then centered at the median in terms of probability and width, respectively.
The results indicate that, overall, the medians determined by the forecasters were good point forecasts of maximum and minimum temperatures. Further, a comparison of the average errors for the forecasters' medians with the average errors for the medians derived from climatology reveals that the forecasters were able to improve greatly upon climatology. The variablewidth credible intervals were very reliable in the sense that the observed relative frequencies corresponded very closely to the forecast probabilities. Moreover, the variablewidth intervals were more reliable and much more precise than the corresponding forecasts derived from climatology. The fixedwidth intervals, on the other hand, were assigned probabilities that were, on the average, considerably larger than the corresponding relative frequencies.
In summary, the results indicate that weather forecasters can use credible intervals to describe the uncertainty contained in their temperature forecasts. The implications of these experimental results for probability forecasting in general and temperature forecasting in particular are discussed.
Item Type:  Monograph (IIASA Research Report) 

Research Programs:  System and Decision Sciences  Core (SDS) 
Depositing User:  IIASA Import 
Date Deposited:  15 Jan 2016 01:40 
Last Modified:  27 Aug 2021 17:07 
URI:  http://pure.iiasa.ac.at/82 
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