Maximum Likelihood Estimation of Seismic Hazard for Sweden

The maximum magnitude, the activity rate, and the Gutenberg-Richterb parameter as earthquake hazard parameters, have been evaluated for Sweden. The maximum likelihood method permits the combination of historical and instrumental data. The catalog used consists of 1100 earthquakes in the time interval 1375–1989. The extreme part of the catalog contains only the strongest historical earthquakes, whereas the complete part is divided into several subcatalogs, each assumed complete above a specified threshold magnitude. The uncertainty in magnitude determination was taken into account. For southern Sweden, the calculations giveb-values of 1.04 (0.05) for the whole area south of 60° N and 0.98 (0.06) for a subregion of enhanced seismicity in the Lake Vänern area. For the whole area north of 60° N, theb-value is 1.35 (0.06) and for the seismicity zone along the Gulf of Bothnia 1.26 (0.06). The number of annually expected earthquakes with magnitude equal to or larger than 2.4 [ML(UPP) or MM(UPP)] is 1.8 for the whole southern Sweden, 1.3 for the Lake Vänern region, 3.7 for northern Sweden, and 2.4 for the region along the Gulf of Bothnia. The maximum expected regional magnitude is calculated to 4.9 (0.5) for a time span of 615 years for southern Sweden and the Lake Vänern subregion, and 4.3 (0.5) for a time span of 331 years for northern Sweden and the Gulf of Bothnia subregion. However, several historical earthquakes with magnitude above 5 in nearby areas of Norway indicate that the seismic potential may be higher.

[1]  A. Kijko,et al.  Estimation of earthquake hazard parameters from incomplete data files. Part I. Utilization of extreme and complete catalogs with different threshold magnitudes , 1989 .

[2]  Maximum likelihood estimation of Gutenberg-Richterb parameter for uncertain magnitude values , 1988 .

[3]  P. Cosentino,et al.  Truncated exponential frequency-magnitude relationship in earthquake statistics , 1977, Bulletin of the Seismological Society of America.

[4]  Andrzej Kijko,et al.  Estimation of earthquake hazard parameters from incomplete data files. Part II. Incorporation of magnitude heterogeneity , 1992 .

[5]  B. Bender Effects of observational errors in relating magnitude scales and fitting the gutenberg-richter parameter β , 1987 .

[6]  Lawrence L. Kupper,et al.  Probability, statistics, and decision for civil engineers , 1970 .

[7]  Robert A. Page,et al.  Aftershocks and microaftershocks of the great Alaska earthquake of 1964 , 1968 .

[8]  R. Wahlström,et al.  Magnitude determination of earthquakes in the Baltic shield , 1984 .

[9]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[10]  Marja Uski,et al.  Earthquakes in northern Europe in 1375–1989 , 1992 .

[11]  Seismic risk in Fennoscandia , 1979 .

[12]  R. Wahlström A catalogue of earthquakes in Sweden in 1375–1890 , 1990 .

[13]  Application of the extreme magnitude distributions to incomplete earthquake files , 1987 .

[14]  Andrzej Kijko,et al.  Estimation of earthquake hazard parameters for incomplete and uncertain data files , 1990 .

[15]  O. Kulhánek,et al.  Spatial and temporal variations of Fennoscandian seismicity , 1992 .

[16]  C. C. Tung,et al.  Extreme value distribution of earthquake magnitude , 1983 .