COMPUTING YESTERDAY'S WEATHER Review of "Calculating the Weather: Meteorology in the 20th Century" by Frederik Nebeker Academic Press, 1995. How did meteorology join the ranks of the exact sciences, and how is weather prediction done today? With few general accounts of computer forecasting available, the appearance of Nebeker's book aroused hopes that here at last was a comprehensive discussion of these questions. However, disappointment awaits the reader seeking an understanding of modern weather forecasting. The book treats the ever-increasing role of calculation in meteorology but fails to provide a satisfactory picture of the state of play today. The central theme of the book is that computational methods have brought about a unification of meteorology. In 1900 three main strands were clearly discernible: climatology, dynamical theory and practical forecasting. During the century, these three strands have become more quantitative and computational and a greater unity is apparent. To the unifying forces acting in the three areas Nebeker gives the self-explanatory if prosaic names "data-push", "theory-pull" and "science-not-art". Part 1 reviews the three strands in 1900. The then status of climatology is captured in a quote from Joseph Henry: "There is perhaps no branch of science relative to which so many observations have been made and so many records accumulated, and yet from which so few general principles have been deduced". The theoretical tradition is reviewed but the treatment is patchy. The work of Ferrel, Hann and Exner is outlined and there is a mini-essay on Shaw, but one is left without any overall picture of the status of dynamic meteorology in 1900. Things improve with the chapter on practical prediction. The synoptic method is well described, giving a good feeling for the plight of the hapless forecaster. Part 2 deals with developments up to 1945. Bjerknes' programme to make forecasting a science is described, though the key 1904 reference is missing. The graphical solution method is well illustrated by an example of calculating vertical velocity near the ground. Richardson's method and forecast are the subject of a long and interesting chapter. Nebeker states that Richardson's work was highly regarded, but he does not satisfactorily explain why no-one followed it up even though Richardson had pointed to smoothing as the solution to his problems. The growth of meteorology between the wars is considered next. The dramatic influence of frontal theory on practical forecasting is described. Later (p129) Nebeker makes the dubious claim that the Bergen school methods were "probably more subjective than earlier procedures". There is a brief but interesting biographical sketch of Rossby. The remainder of this part concerns calculating aids used before and during the war. The extensive treatment of punched-card equipment is rather dull but the descriptions of the D-day forecasts and of the war-time importance of meteorology are good. Part 3 considers the emergence of computer forecasting. The Princeton project of von Neumann and the crucial role played by Jule Charney are discussed in an excellent chapter. The subsequent introduction of computational methods into general operations and the greater cohesiveness which has resulted are then treated, but with virtually no material on work since 1970. The European Centre for Medium Range Weather Forecasts is not even mentioned. The final chapter looks at Lorenz's discovery of chaos, which has brought about a scientific revolution and has profound implications for predictability of weather. A major thrust of recent research has been to estimate the probability of different weather scenarios using ensembles of forecasts. This effort springs directly from Lorenz's work on sensitivity to initial conditions. Yet ensemble forecasting, which is inextricably intertwined with super-computing, is not mentioned; such an omission in a book of this nature is extraordinary. The style of writing is good and the book pleasant to read, although the end-notes beloved of publishers are a nuisance for readers. About 450 references and a good index are included. Several errors were detected in the few equations displayed and even the list of equations on p51 is wrong. But the major complaint is that the book might have been written thirty years ago. Readers interested in the early history of numerical forecasting will find it a useful summary. Given the title, most scientists will be unhappy with the absence of a description of modern forecasting methods.