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USER GUIDE for Completeness Magnitude Estimation
After the User adds the Service into his/hers personal workspace, the following window appear in the screen appears (Figure 1):
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Figure 1.
The user is now requested to fill the fields shown in figure 1.

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After defining the aforementioned parameters, the user shall click on the "Run" button and the calculations are performed. The Status changes from "CREATED" to "SENT_TO_SERVER" and the output is created. The results Analysis Results appear on the screen after clicking on the mccalc_output 'Show' button (lower left corner in figure 2). These results are: Image Removed

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Figure 2.

1. Analysis results: A table including information on the obtained results, as a function of minimum magnitude, available after clicking on the "Show" button (Figure 2). The columns of the table correspond to:

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1. A table with Completeness Magnitude, M_C, as it was estimated by four different approaches, 90% and 95% Goodness of Fit Tests, Maximum Curvature and Modified Goodness of Fit Test (Figure 2).
2. A plot of the number of events (interval, n, and cumulative, N) as a function of minimum magnitude, shown on logarithmic Y-axis. (Figure 2, 3). The user can click on a certain point of the plot to draw the power law fitting curve corresponding to this minimum magnitude (red dashed line, Figure 3). The interval, cumulative and the theoretical number of events for each magnitude bin is shown in the screen as well, by moving the cursor on the circles, squares, or along the fitting curve, respectively (Figure 3). The plotting points can be shown/ hidden after clicking on the parameters shown in the legend of the figure.

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Figure 3. Image Removed

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Figure 4.

1. Residual Plot: This option provides to the user the opportunity to evaluate the Goodness-of-Fit results as a function of magnitude by examining the residuals between real and modeled data. The modeled data corresponds to power law of the frequency magnitude distribution (black dots) and to the synthetic datasets following this power law (red squares). The horizontal dashed lines indicate the residual values of 10% (upper line) and 5% (lower line), which correspond to the commonly used in literature recommended levels (Figure 4).
2. Plot of b-values with errorbars: This final option shows the b-value fluctuation as a function of magnitude (Figure 5). The errorbars which indicate ± one standard deviation are shown as well. In such way the user may consider the accuracy of calculations and the stability of the b-value as the magnitude changes. The dashed horizontal line denotes b=1.0, which is a value that often characterizes seismic activity in several scales.

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Figure 5.
Note that zooming option is enabled for all of the aforementioned plots (see information tips at the low part of Figures 3, 4 and 5)