Frequency-Magnitude Relationships for seismic areas around the capital cities of Solomon, Vanuatu, Tonga and Fiji Islands

We studied the relationships between the frequency ofoccurrence and the magnitudes in seismogenic areasthat will affect four capital cities in the SouthPacific, namely: Honiara in Solomon Islands, Port Vilain Vanuatu, Suva in Fiji and Nuku'alofa in Tonga. Weused the NEIS catalogues for the period 1973–1997, formagnitudes greater than about 5, in the proximity tothe city under investigation. The definitions of thegeographic boundaries of the seismogenic zones arebased on the classical concepts of the distribution ofthe tectonic plates, the overwhelming number ofstudies that describe the seismotectonics in thoseactive regions and on the observed seismicity andstudies of the local people. Completeness of thecatalogue is assumed because of the high seismicity inthese areas, despite the relatively short time span.We have used a hybrid process combining least squaresfitting and Newtonian search process to find the bestfit of the statistical parameters. The characteristicb value is 1.27, and seems to be irrespective of thedepth and/or region.