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For using a selected catalog for SSH, the User shall click on the 'Actions' tab and then select consecutively, 'USE IN APPLICATION' and 'Source size distribution function', as highlighted in Figure 1. 

Figure 1. Selection of the application from the data uploaded in the workspace


Once the application has been selected the User is requested to fulfill some fields with parameter values needed for the SSH analysis (Figure 2). These parameters are:

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Once all the parameters have been selected, the User may click on the "Run" button (blue button, Figure 2), for the calculation process to be initiated.

Figure 2. Input parameters for the application


The results of the process include a report with parameters values selected by the user and estimated by the system and two figures, one plotting the PDF (Probability Density Function) of the distribution as a function of magnitude and another one plotting the CDF (Cumulative Distribution Function) of the distribution as a function of magnitude (Figure 3 and Figure 4):

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Gutenberg Richter (GR)

Non-Parametric

Unbounded

Upper-Bounded

Unbounded

Upper-Bounded

Magnitude Round-off Interval

Mean Activity Rate above Completeness Magnitude

Mean Activity Rate for all Events

b-value

Kernel Smoothing Factor

 

Mmax

Synthetic Sample for Non-Parametric Estimators (plotting option)

 

 

Weighing Factors for Adaptive Kernel (plotting option)

 

 

 

Mmax

Table 1. Output parameters of the application according to the selected approach

Figure 3. Output graph (PDF)


Figure 4. Output graph (CDF)


The Figures provide the options of choosing among linear, spline and scatter plot, linear logarithmic scale, zooming and saving as .pdf, .svg, .jpeg or .png formats.

The necessary parameters for SSH analysis are now estimated ('ssh_params.mat' in Figure 5) and they are ready to be used in Hazard parameters estimation. This can be achieved by clicking on the 'Actions' tab and then selecting 'USE IN APPLICATIONS' field. Three such parameters are available in the IS-EPOS platform: Exceedance Probability, Maximum Credible Magnitude and Mean Return Period (top right corner of Figure 5).

Figure 5. Use of magnitude distribution for further processing (Hazard parameters estimation)


  •  Exceedance Probability: In addition to the Magnitude Distribution parameters already imported, the User is requested to select the following parameters (Figure 6):
  • Choose mode: To options are available by clicking on the arrow in the respective field: "Fixed magnitude" and "Fixed time period length"
  • Magnitude/ Period length: Parameter is requested according to the selected mode (Magnitude or Period length, for Fixed magnitude or Fixed time period length, respectively)
  • Time period length / magnitude : Parameter minimum value ('start' tab), maximum value ('end" tab) and step value ('step' tab) are requested according to the selected mode (Time period length of magnitude, for Fixed magnitude or Fixed time period length, respectively).

Figure 6. Inputs for the application


The User now has to click on the "Run" button in order to start the calculation process. The results are available in both vector format (red frame of Figure 7), or by a x-y plot shown in Figure 7. 

 

Figure 7. Snapshot of the platform after the results calcuation


  •  Maximum Credible Magnitude: In this case the User has only to enter a minimum value ('start' tab), a maximum value ('end' tab) and a step value ('step' tab) for the time period length iteration. After running the process, the results are also available in both vector format (see example above and Figure 8)

Figure 8. Output graph of hazard parameter: Maximum Credible Magnitude


  •  Mean Return Period: In this case the User has only to enter a minimum value ('star' tab), a maximum value ('end' tab) and a step value ('step' tab) for the magnitude iteration. After Running the process, the results are also available in both vector format (see examples above Figure 9)

Figure 9. Output graph of hazard parameter: Mean Return Period