N umerical weather prediction is fundamentally a probabilistic task owing to the growth of unavoidable uncertainties in the forecast's initial conditions and in the forecast model itself (Sutton 1954;Lorenz 1963). A key question for the user is how certain they can be that a "10% probability of precipitation" really means that they will be unlucky to get wet. How would they assess the reliability of such a prediction? One approach would be for them to keep a record of the days when the forecast indicated a 10% probability of precipitation and to see if rainfall actually occurred on 10% of those days. If, in reality, it occurred on 20% of the days, this would indicate that these probabilistic forecasts were unreliable. On the other hand if, for a large set of occasions when the forecast gave a 40% chance of a hurricane making landfall in a particular region, a hurricane did make landfall 40% of the time, this would represent a "reliable" (Sanders 1958) set of forecasts. If the decision about whether to defend a vulnerable piece of infrastructure could be based purely on the forecast, then, since the forecast is reliable, a simple approach would be to defend the infrastructure if the cost to do so was less than 40% of the loss that would otherwise occur (Richardson 2000). In reality other factors will influence such a decision, but this example does highlight the importance of reliability. We may ask how we could do even better. Suppose we could partition the forecasts into two categories (based on the initial flow conditions) where the probabilities of landfall were, say, 60% and 20% (i.e., one flow situation is more likely to lead to landfall than the other), and suppose that the forecasts in both categories were reliable. It is straightforward to show (see "The benefits of flow-dependent reliability" sidebar) that, under the assumptions of this simple decision model, the expected expense in defending the infrastructure is always reduced (or matched). This result, which does not depend on the choice of numbers, emphasizes the potential utility of improving flow-dependent reliability. The key question to address here is, How do we assess and improve the flow-dependent reliability of our forecasts? Before attempting to address this question, it Improving short-range flow-dependent reliability, which may provide a practical approach to increase forecast skill out to ~10 days, is discussed and illustrated for a specific flow situation associated with convection over North America and poor skill for Europe.
1015MAY 2018 AMERICAN METEOROLOGICAL SOCIETY |