Data assimilation is the technique by which observations are combined with an NWP product (the first guess or background forecast) and their respective error statistics to provide an improved estimate (the analysis) of the atmospheric (or oceanic, Jovian, etc.) state. (Source: http://www2.mmm.ucar.edu/wrf/users/wrfda/Docs/user_guide_V3.6/WRFDA_Users_Guide.pdf)