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  Data Analysis and Assimilation

Introduction

To produce an accurate weather forecast, precise knowledge of the current state of the atmosphere (the 'initial conditions') is needed. This is achieved by using observations and assimilating those observations into the model. Many thousand observations are received each day from a variety of observing types e.g. satellites, aircraft, ships, buoys, radiosondes and land stations. Various atmospheric parameters are routinely measured including temperature, wind speed and direction and humidity. Observations are assimilated into the model using a process known as variational analysis.

What is data assimilation?

There are insufficient observations at any one time to determine the state of the atmosphere. So if we want a detailed complete picture, we need additional information. This is available as knowledge of the behaviour and probable structure of the atmosphere. For instance the knowledge of the typical structure of a frontal depression enables a human to draw an "analysis" of the atmospheric state, based on scattered observations. To advance beyond this subjective approach, the behaviour of the atmosphere is embodied in a computer model. In particular, knowledge of the evolution with time is embodied in a forecast model. This enables us to use observations distributed in time. The model also provides a consistent means of representing the atmosphere. Assimilation is the process of finding the model representation which is most consistent with the observations.

Usually, data assimilation proceeds sequentially in time. The model organises and propagates forward the information from previous observations. The information from new observations is used to modify the model state, to be as consistent as possible with them and the previous information. It is the experience with operational assimilation for NWP that there is usually more information in the model state, from previous observations, than there is in a new batch at a single synoptic time. Thus it is important to preserve this in the assimilation process; it is not just a question of fitting the new data. Since all information has to be represented within the model, it is important that the model should be of sufficiently high resolution, with physically realistic detail, to represent the information observed. Some research is investigating non-sequential data assimilation methods, especially four-dimensional variational assimilation.


The preceeding paragraphs were taken from Forecasting Research Scientific Paper 34 by A.C. Lorenc which is based on a lecture given at the Second WMO Symposium on Assimilation of Observations in Meteorology and Oceanography, held in Tokyo, Japan, 13-17 March 1995. The full paper is available for download as a pdf document. Download now (278K)

Products and uses of assimilation

Assimilation produces a convenient, comprehensive, high-resolution, representation of the atmosphere. It has been clearly demonstrated that the use of a computer model is usually better (i.e. leads to better forecasts) than the subjective human approach. The main practical use of these assimilated "analyses" is for initialising numerical weather prediction (NWP) forecasts. They are also useful for climate and general circulation studies, for instance in the calculations of fluxes, which make use of their high resolution and comprehensive coverage. However it must be remembered that the blend of observed and modelled information will vary according to the accuracy and coverage of the observations. So they must be used with great care for model validation, and climate change detection.

Very useful secondary products of a data assimilation system are the statistics on the (mis-)fit of observations to model. These can be more directly used for model (in-)validation, and for the monitoring of observing systems.


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