Linked from
The 20 pages that link to Moment magnitude scale, each with the reason it gives.
SeismologyBroader topic: Seismic moment is measured directly from long-period seismic waves.
EarthquakeRelated: It provides a consistent measure of the earthquake's physical size.
SeismogramRelated: Seismic records help estimate the source parameters behind this magnitude.
MainshockRelated: Comparing magnitudes helps identify the largest event in a sequence.