Abstract
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.
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References
Acharya, H., 1971, Magnitude-frequency relations and deep-focus earthquakes, Bull. Seis. Soc. Amer. 61, 1345–1350.
Allen, C., Amand, P., Richter, C. and Nordquist, J., 1965, Relation between seismicity and geological structure in the southern California region, Bull. Seis. Soc. Amer. 55, 752–797.
Calmant, S., Pelletier, B., Pillet, R., Regnier, M., Lebellegard, P., Maillard, D., Taylor, F., Bevis, M. and Recy, J., 1997, Interseismic and coseismic motions in GPS series related to the MS 7.3 July, 13, 1994, Malekula Earthquake, Central New Hebrides Subduction Zone, Geophys. Res. Lett. 24, 3077–3080.
Chase, C., 1971, Tectonic history of the Fiji Plateau, Geol. Soc. Am. Bull. 82, 3087–3110.
Curtis, J., 1973, A magnitude domain study of the seismicity of Papua, New Guinea, and the Solomon Islands, Bull. Seis. Soc. Amer. 63, 787–806.
Dubois, J., Launay, J., Recy, J. and Marshall, J., 1977, New Hebrides trench: subduction rate from the associated lithosphere bulge, Can. J. Earth Sc. 14, 250–255.
Epstein, B. and Lomnitz, C., 1966, A model for the occurrence of large earthquakes, Nature 211, 954–956.
Garcia, E., Tisseau, C., Maia, M., Tonnerre, C., Auzende, J. and Lagabrielle, Y., 1996, Variability of the axial morphology and of the gravity structure along the central spreading ridge (north Fiji basin): evidence for contrasting tectonic regimes, Mar. Geophys. Res. 18, 249–273.
Gutenberg, B. and Richter, C., 1944, Frequency of earthquakes in California, Bull. Seis. Soc. Amer. 34, 185–188.
Hatzidimitriou, P., Papadimitriou, Mountrakis, D. and Papazachos, B., 1985, The seismic parameter b of the frequency-magnitude relation and its association with the geological zones in the area of Greece, Tectonophysics 120, 141–151.
Heki, K., 1996, Horizontal and vertical crustal movements from three-dimensional very long baseline interferometry kinematic reference frame: implication for the reversal time scale revision, J. Geophys. Res. 101, 3187–3198.
Isacks, B., Cardwell, R., Chatelain, J., Barazangi, M., Marthelot, J., Chinn, D. and Louat, R., 1981, Seismicity and tectonics of the central New Hebrides island arc. In: Simpson, D. and Richards, P. (eds), Earthquake Prediction: An International Review, Am. Geophys. Union, Maurice Ewing Ser., 4, pp. 93–116.
Kolenkiewicz, D., Merem, R., Dunn, P., Torrence, M., Robbins, J., Klosko, S., Williamson, R. and Pavlis, E., 1994, Contemporary global horizontal crustal motion, Geophys. J. Int. 119, 511–520.
Louat, R. and Pelletier, B., 1989, Seismotectonics and presentday relative plate motions in the New Hebrides-North Fiji Basin region, Tectonophysics 167, 41–55.
Minster, J. and Jordan T., 1978, Present day plate motions, J. Geophys. Res. 83, 5331–5354.
Papazachos, B., Papadimitriou, E, Karakaisis, G. and Panagiotopoulos, D., 1997, Long-term earthquake prediction in the Circum-Pacific convergent belt, Pure Appl. Geophys. 149, 173–217.
Pelletier, B. and Louat, R., 1989, Seismotectonics and present day relative plate motions in the Tonga-Lau and Kermadec-Havre region, Tectonophysics 165, 237–250.
Pelletier, B., Calmant, S. and Pillet, R., 1998, Current tectonics of the Tonga-New Hebrides region, Earth Planet. Sci. Lett. 164, 263–276.
Sykes, L., Isacks, B., Oliver, J., 1969, Spatial distribution of deep and shallow earthquakes of small magnitudes in the Fiji-Tonga region, Bull. Seis. Soc. Amer. 59, 1093–1113.
Tsapanos, T., 1990, b-values of two tectonic parts in the circum-Pacific belt, Pageoph 134, 229–242.
Tsapanos, T. and Papazachos, B., 1998, Geographical and vertical variation of the earth's seismicity, J. Seis. 2, 183–192.
Wiechert, D., 1980, Estimation of the earthquake recurrence parameters for unequal observation periods for different magnitudes, Bull. Seis. Soc. Amer. 70, 1337–1346.
Zhang, J. and Lay, T., 1989, Duration and depth of faulting of the 22 June 1977 Tonga earthquake, Bull. Seis. Soc. Amer. 79, 51–66.
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Hofstetter, A., Shapira, A., Bulehite, K. et al. Frequency-Magnitude Relationships for seismic areas around the capital cities of Solomon, Vanuatu, Tonga and Fiji Islands. Journal of Seismology 4, 285–296 (2000). https://doi.org/10.1023/A:1009889017020
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DOI: https://doi.org/10.1023/A:1009889017020