Calibration of the local magnitude scale (Ml) for Central Southern Africa

The Central Southern Africa is an area of moderate seismic activity generally caused by the presence of the East Africa Rift System. To improve the quantification of seismicity in this region, we propose a local magnitude scale (Ml), based on the original Richter definition to be used by the Zimbabwe and Botswana national networks. The magnitude scale is developed using 621 seismic events that occurred between 1997–2000 and 2013–2018. These events were recorded by 61 broadband seismic stations located in Botswana, Zimbabwe, and South Africa. We evaluated 5306 traces of zero to peak maximum amplitude, recorded on the horizontal channel from simulated Wood-Anderson seismograms. All 5306 maximum amplitude measurements were inverted simultaneously to determine the attenuation constants. The resultant Ml is defined as Ml=log10A+0.80×log10(R)+0.00086×R−1.37±S\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ M_{l} = \log _{10}A+0.80 \times \log _{10}(R)+0.00086 \times R-1.37 \pm S $\end{document} in which A is ground displacement amplitude determined from instrument corrected synthetic Wood-Anderson seismograms in nanometres, R is the epicentral distance (km), and S is the station correction. Station corrections were determined for all stations during analysis resulting in values ranging between − 0.44 and + 0.31. The range in station corrections suggests a strong influence of local site effects on the amplitude of the seismic signal. Without station correction, the overall standard deviation of the magnitude residuals using our magnitude relation is 0.32, while using station corrections, the standard deviation 0.17. A comparison of our local magnitude relation with published mblg relationships for Southern Africa shows that these two magnitude scales are almost equivalent. The Ml equation for Central Southern Africa derived in this study has good correlation with mb values reported by the ISC and NEIC and attains systematically lower magnitude values than the South African relationship.