When we study the seismicity of any region we need to build a trustable caatalog.
Could you please explain these optimal parameters of earthquake clustering?
how to build on these seismic clustered sources?
Dear Dr. raed, thank you for the question, I can add a contribution as far as the catalogues are concerned. A seismicity caralogue will optimaly include the whole spectrum of available seismicity data, Instrumental, Historical, Archeo, Dendro, etc.. and Paleoseismicity. Every one of the seismicity "components" has its specific problems to insure accuracy and robustness. All need patience and continuous work to improve. elaborating on every aspect will need a lot of time and space, my Theisis and some subsequent papers in my contributions focus on our area's seismicity problems. The Thesis is available on researchgate. All the best from Amman.
Each event is characterized by its location-time-magnitude parameters (x, y, z, t, m). In the following, we shall neglect the z (depth) coordinate only for sake of simplicity.
There are many optimal parameters of earthquake clustering models such as:
Failure rate fr which is a measure of the proportion of events that can be considered truly independent and constitute the spontaneous background seismicity.
K and a are constant parameters
c and p are characteristic parameters of the time dependence process .
r is the distance from the point (xi, yi) and is a free parameter determining the fall off of the induction effect with distance.
d and q are two other free parameters of the process
for more information about the optimal parameters of earthquake clustering can be found in the attached pdf file.