On the linear relation between mb and Ms for discrimination between explosions and earthquakes |
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| Authors: | All A Nowroozi |
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| Institution: | Department of Geological Sciences, Old Dominion University, Norfolk, Virginia 23508, USA |
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| Abstract: | Summary. The statistical capability of the m b: M s discriminant for the discrimination of earthquake and explosion populations is examined by application of discriminant functions to a group of 83 explosions and 72 earthquakes in Eurasia. Equations are derived for the probability that an event is an earthquake or an explosion. The positive sign of DIS in the decision index equation, DIS i = 34.3383 – 11.9569 mb t + 7.1161 M si , indicates that the event i is an earthquake. Its negative sign indicates that event i is an explosion. The probability of correct classification for an event, P i , is related to its DIS i value, by P i = 1-exp (DIS i )]?1, where a large, positive DIS indicates a high probability that an event is an earthquake and a large, negative DIS indicates a high probability that an event is an explosion. The discrimination line M s = 1.680 m b– 4.825, or m b= 0.595 M s+ 2.872 very successfully separates the explosion population from the earthquake population. The points on this line have an equal chance of being an earthquake or an explosion; moreover, for any event, the distance parallel to the M s-axis from the point representing that event in the m b: M s plane to this line is a measure of the probability for the correct classification of that event. |
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| Keywords: | discrimination explosions earthquakes linear relation between mb M s |
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