Adjoint models are powerful tools for many studies that require an est
imate of sensitivity of model output (e.g., a forecast) with respect t
o input. Actual fields of sensitivity are produced directly and effici
ently, which can then be used in a variety of applications, including
data assimilation, parameter estimation, stability analysis, and synop
tic studies. The use of adjoint models as tools for sensitivity analys
is is described here using some simple mathematics. An example of sens
itivity fields is presented along with a short description of adjoint
applications. Limitations of the applications are discussed and some s
peculations about the future of adjoint models are offered.