Probability Forecasting in Meteorology

Abstract Efforts to quantify the uncertainty in weather forecasts began more than 75 years ago, and many studies and experiments involving objective and subjective probability forecasting have been conducted in meteorology in the intervening period. Moreover, the U.S. National Weather Service (NWS) initiated a nationwide program in 1965 in which precipitation probability forecasts were formulated on an operational basis and routinely disseminated to the general public. In addition, the NWS now prepares objective probability forecasts for many variables, using statistical procedures. Hence probability forecasting in meteorology is unique in that very large sets of probability forecasts that have been subjected to detailed evaluation are available. This article has four objectives: (a) to review the history of probability forecasting in meteorology to acquaint statisticians with this body of literature; (b) to describe recent methodological, experimental, and operational activities in this field; (c) to exa...

[1]  Kenneth H. Bergman,et al.  Multivariate Analysis of Temperatures and Winds Using Optimum Interpolation , 1979 .

[2]  Robert L. Winkler,et al.  Experimental point and area precipitation probability forecasts for a forecast area with significant local effects , 1977 .

[3]  Joseph R. Bocchieri,et al.  A New Operational System for Forecasting Precipitation Type , 1979 .

[4]  J. Charba Two to Six Hour Severe Local Storm Probabilities: An Operational Forecasting System , 1979 .

[5]  Gary M. Carter,et al.  Comparative verification of guidance and local aviation/public weather forecasts -- no. 5 (October 1977 - March 1978) , 1976 .

[6]  G. Brier VERIFICATION OF FORECASTS EXPRESSED IN TERMS OF PROBABILITY , 1950 .

[7]  Thomas Schlatter,et al.  Some Experiments with a Multivariate Statistical Objective Analysis Scheme , 1975 .

[8]  A. H. Murphy,et al.  A Sample Skill Score for Probability Forecasts , 1974 .

[9]  Robert C. Sheets,et al.  The National Weather Service Hurricane Probability Program , 1985 .

[10]  Donald S. Foster,et al.  Automated 12–36 Hour Probability Forecasts of Thunderstorms and Severe Local Storms , 1979 .

[11]  L. E. Borgman Weather-Forecast Profitability from a Client's Viewpoint , 1960 .

[12]  Ernest Cooke,et al.  FORECASTS AND VERIFICATIONS IN WESTERN AUSTRALIA , 2022 .

[13]  Rex J. Fleming,et al.  ON STOCHASTIC DYNAMIC PREDICTION: I. The Energetics of Uncertainty and the Question of Closure , 1971 .

[14]  Robert G. Miller Statistical prediction by discriminant analysis , 1962 .

[15]  C. Hallenbeck,et al.  Forecasting Precipitation in Percentages of Probability. , 1920 .

[16]  A. H. Murphy,et al.  Impacts of Feedback and Experience on the Quality of Subjective Probability Forecasts. Comparison of Results from the First and Second Years of the Zierikzee Experiment , 1984 .

[17]  William H. Klein,et al.  forecasting local weather by means of model output statistics , 1974 .

[18]  Michèle Hibon,et al.  Accuracy of Forecasting: An Empirical Investigation , 1979 .

[19]  Harry R. Glahn,et al.  Recent Developments in Automated Prediction of Ceiling and Visibility , 1974 .

[20]  Robert L. Winkler,et al.  The Accuracy of Extrapolation (Time Series) Methods , 1982 .

[21]  Lance F. Bosart SUNYA Experimental Results in Forecasting Daily Temperature and Precipitation , 1975 .

[22]  E. Epstein,et al.  Stochastic dynamic prediction1 , 1969 .

[23]  F. Sanders On Subjective Probability Forecasting , 1963 .

[24]  Robin M. Hogarth,et al.  Cognitive Processes and the Assessment of Subjective Probability Distributions , 1975 .

[25]  J. C. Thompson,et al.  A NUMERICAL METHOD FOR FORECASTING RAINFALL IN THE LOS ANGELES AREA , 1950 .

[26]  A. H. Murphy,et al.  The Value of Climatological, Categorical and Probabilistic Forecasts in the Cost-Loss Ratio Situation , 1977 .

[27]  Roger A. Pielke An Overview of Recent Work in Weather Forecasting and Suggestions for Future Work , 1977 .

[28]  A. H. Murphy,et al.  “Good” Probability Assessors , 1968 .

[29]  Thomas Arthur Blair LOCAL FORECAST STUDIES-SUMMER RAINFALL , 1921 .

[30]  A. Grosjean,et al.  Statistical Weather Forecasting , 1976 .

[31]  A. H. Murphy,et al.  A comparative evaluation of objective and subjective weather forecasts in the united states , 1984 .

[32]  Harry R. Glahn,et al.  Objective Prediction of Cloud Amount Based on Model Output Statistics , 1976 .

[33]  A. D. Cummings,et al.  Some aspects of PoP forecast performance by Southern Region WSFOs -- revisited , 1974 .

[34]  C E Leith,et al.  Objective Methods for Weather Prediction , 1978 .

[35]  A. H. Murphy,et al.  A Note on Probability Forecasts and “Hedging” , 1967 .

[36]  G. A. Oberholzer,et al.  THE TORNADO OF JUNE 6, 1906, NEAR LA CROSSE, WIS. , 1906 .

[37]  Rex J. Fleming,et al.  ON STOCHASTIC DYNAMIC PREDICTION , 1971 .

[38]  Edward S. Epstein,et al.  A Bayesian Approach to Decision Making in Applied Meteorology , 1962 .

[39]  Frederick Sanders Trends in Skill of Daily Forecasts of Temperature and Precipitation, 1966–78 , 1979 .

[40]  Richard H. Jones A NONLINEAR MODEL FOR ESTIMATING PROBABILITIES OF k EVENTS , 1968 .

[41]  A. H. Murphy,et al.  Subjective Probabilistic Tornado Forecasts: Some Experimental Results , 1982 .

[42]  Lester B. Lave,et al.  THE VALUE OF BETTER WEATHER INFORMATION TO THE RAISIN INDUSTRY , 1963 .

[43]  Iver A. Lund Estimating the Probability of a Future Event from Dichotomously Classified Predictors , 1955 .

[44]  Mark J. Schroeder VERIFICATION OF “PROBABILITY” FIRE-WEATHER FORECASTS , 1954 .

[45]  E. Epstein,et al.  Stochastic dynamic prediction , 1969 .

[46]  Harry R. Glahn,et al.  An operational method for objectively forecasting probability of precipitation , 1969 .

[47]  J. C. Thompson,et al.  THE ECONOMIC UTILITY OF WEATHER FORECASTS , 1955 .

[48]  Iriving I. Gringorten The Verification and Scoring of Weather Forecasts , 1951 .

[49]  Halbert E. Root,et al.  Probability Statements in Weather Forecasting , 1962 .

[50]  William H. Klein Computer Prediction of Precipitation Probability in the United States , 1971 .

[51]  T. A. Blair,et al.  LOCAL FORECAST STUDIES—WINTER PRECIPITATION , 1924 .

[52]  A. H. Murphy,et al.  Point and Area Precipitation Probability Forecasts: Some Experimental Results , 1976 .

[53]  E. G. BILHAM A Problem in Economics , 1922, Nature.

[54]  A. H. Murphy,et al.  Misinterpretations of precipitation probability forecasts , 1980 .

[55]  Walter G. Leight,et al.  THE USE OF PROBABILITY STATEMENTS IN EXTENDED FORECASTING , 1953 .

[56]  Robin M. Hogarth,et al.  Cognitive Processes and the Assessment of Subjective Probability Distributions: Rejoinder , 1975 .

[57]  A. H. Murphy,et al.  Credible Interval Temperature Forecasting: Some Experimental Results , 1974 .

[58]  Jerome P. Charba,et al.  Skill in Precipitation Forecasting in the National Weather Service , 1980 .

[59]  Robert L. Winkler,et al.  The accuracy of extrapolation (time series) methods: Results of a forecasting competition , 1982 .

[60]  Baruch Fischhoff,et al.  Calibration of Probabilities: The State of the Art , 1977 .

[61]  Frederick Sanders The Verification of Probability Forecasts , 1967 .

[62]  Philip Williams,et al.  The Use of Confidence Factors in Forecasting , 1951 .

[63]  A. H. Murphy,et al.  A Note on the Utility of Probabilistic Predictions and the Probability Score in the Cost-Loss Ratio Decision Situation , 1966 .

[64]  Irving I. Gringorten,et al.  Methods of Objective Weather Forecasting , 1955 .

[65]  A. H. Murphy A New Vector Partition of the Probability Score , 1973 .

[66]  J. C. Thompson,et al.  On the Operational Deficiences in Categorical Weather Forecasts , 1952 .

[67]  F. Sanders,et al.  Skill In Forecasting Daily Temperature and Precipitation: Some Experimental Results , 1973 .

[68]  J. C. Thompson Economic Gains from Scientific Advances and Operational Improvements in Meteorological Prediction , 1962 .

[69]  H. Glahn,et al.  The Use of Model Output Statistics (MOS) in Objective Weather Forecasting , 1972 .

[70]  Richard R. Nelson,et al.  A Case Study in the Economics of Information and Coordination , 1964 .

[71]  R. Pielke,et al.  Summary of the Sessions on Problems in Forecasting, AMS 57th Annual Meeting, 18–19 January 1977, Tucson, Ariz. , 1977 .

[72]  Glenn W. Brier,et al.  Verification of Weather Forecasts , 1951 .

[73]  J. Paul Dallavalle,et al.  Comparative verification of guidance and local aviation/public weather forecasts, no. 8 (April 1979 - September 1979) , 1979 .

[74]  A. H. Murphy,et al.  Probabilistic temperature forecasts: The case for an operational program , 1979 .

[75]  Irving I. Gringorten A Measure of Skill in Forecasting a Continuous Variable. , 1965 .

[76]  Harry R. Glahn,et al.  THE USE OF DECISION THEORY IN METEOROLOGY , 1964 .

[77]  Irving I. Gringorten PROBABILITY ESTIMATES OF THE WEATHER IN RELATION TO OPERATIONAL DECISIONS , 1959 .

[78]  A. H. Murphy,et al.  Scalar and Vector Partitions of the Probability Score: Part I. Two-State Situation , 1972 .

[79]  Harry R. Glahn,et al.  Objective Weather Forecasting by Statistical Methods , 1965 .

[80]  G. Wahba,et al.  Some New Mathematical Methods for Variational Objective Analysis Using Splines and Cross Validation , 1980 .

[81]  E. A. Zurndorfer,et al.  Automated Guidance for Predicting Quantitative Precipitation , 1979 .

[82]  Robert G. Miller,et al.  REGRESSION ESTIMATION OF EVENT PROBABILITIES , 1964 .

[83]  Edward S. Epstein,et al.  A Scoring System for Probability Forecasts of Ranked Categories , 1969 .

[84]  H. R. Glahn An Application of Adaptive Logic to Meteorological Prediction , 1964 .