From AMS Glossary
The analysis (or reconstruction) of the weather pattern from more or less continuous meteorological observations made at a single geographic location; or the body of techniques employed in such an analysis.
The extension of these techniques to produce a weather forecast is known as single-station forecasting.
Berry, F. A., E. Bollay, and N. R. Beers 1945. Handbook of Meteorology. 858–879.