Extrapolation
Extrapolation is the process of estimating conditions outside the range of available data, by extending observable trends in these data. As a means of rapid screening, prior to integrated assessments, it can be used in a wide range of ways, for example:
- to derive dose-response functions at extremes (high or low) doses, where direct observations have not been made;
- to estimate exposures or health impacts under business-as-usual scenarios by extending current trends into the future;
- to estimate exposures or health impacts under alternative (e.g. policy) scenarios, by rescaling available data to reflect the likely new conditions.
A wide range of extrapolation methods is available, of varying complexity and statistical rigour (see links to left). In each case, however, extrapolation may be subject to a number of uncertainties and errors.
In particular, care is needed to ensure that:
- the observed trends in the data are valid and unbiased: biases tend to occur, especially, when the data set is small or clustered either in space or time;
- the possibility of non-linearity (including thresholds or step-changes) is allowed for;
- allowance is made for the influence of external factors (e.g. social or environmental determinants) which may modify the observed trends;
- extrapolation remains within the range of plausible values and extrapolated estimates have plausible distributions (e.g. do not show large and unexpected skew or outliers).

