# Expanding Moment Magnitude Pools for Earthquake Magnitude Homogenization
## 3 Results
### Indonesia
Given these results, it appears that surface wave magnitudes would be better for magnitude homogenization purposes due to the relatively lower \(\upsigma\)s.  
The resultant magnitude homogenization regressions for local magnitude types are shown in Table 6. The results show little variation across the moment magnitude pools. For \(\text{M}_{\text{L,DJA}}\) and \(\text{M}_{\text{D,DJA}}\), the addition of related and significantly similar catalogs and bibliographic sources did not expand the expand the \(\text{M}_{\text{W,GCMT}}\) pool, essentially saying that DJA did not have additional moment magnitude records outside of GCMT. Although  
Figure 6: Resultant magnitude homogenization regressions for \(\text{M}_{\text{W,GCMT-related}}\) against (**a**) \(\text{m}_{\text{b,ISC}}\), (**b**) \(\text{m}_{\text{b,NEC}}\), and (**c**) \(\text{m}_{\text{b,DJA}}\). Data from \(\text{M}_{\text{W,GCMT}}\) are also shown. Black line is the regression against \(\text{M}_{\text{W,GCMT-related}}\) while the dashed red line is the regression against \(\text{M}_{\text{W,GCMT}}\). M\({}_{\text{LV,DJA}}\) presented the same moment magnitude events with M\({}_{\text{W,GCMT}}\) and M\({}_{\text{W,GCMT-related}}\), the pool from M\({}_{\text{W,GCMT-hypothesis}}\) contained an additional 6 events, all low magnitudes from M\({}_{\text{W,NEC}}\). Even so, the regression results do not differ by much. Since all three moment magnitude pools for M\({}_{\text{L,DJA}}\) and M\({}_{\text{D,DJA}}\) are identical, no hypothesis testing was needed. Still, hypothesis testing conducted on regression parameters from M\({}_{\text{W,GCMT}}\) and M\({}_{\text{W,GCMT-hypothesis}}\) did not reveal any significant differences. This sug \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Magnitude** & **Pool** & **Slope, \(\beta_{1}\)** & **Intercept, \(\beta_{0}\)** & **Correlation, R2** & \
\begin{tabular}{c} **Standard** \\ **Deviation, \(\sigma\)** \\ \end{tabular} &
\begin{tabular}{c} **Number of** \\ **Data Pairs** \\ \end{tabular} \\ \hline M\({}_{\text{L,DJA}}\) & M\({}_{\text{W,GCMT}}\)1 & 0.515 & 2.578 & 0.313 & 0.389 & 102 \\ M\({}_{\text{W,GCMT-related}}\)1 & 0.515 & 2.578 & 0.313 & 0.389 & 102 \\ M\({}_{\text{W,GCMT-hypothesis}}\)1 & 0.515 & 2.578 & 0.313 & 0.389 & 102 \\ \hline M\({}_{\text{D,DJA}}\) & M\({}_{\text{W,GCMT}}\)1 & 1.140 & \(-\)0.435 & 0.498 & 0.335 & 125 \\ M\({}_{\text{W,GCMT-related}}\)1 & 1.140 & \(-\)0.435 & 0.495 & 0.335 & 125 \\ M\({}_{\text{W,GCMT-hypothesis}}\)1 & 1.140 & \(-\)0.435 & 0.498 & 0.335 & 125 \\ \hline M\({}_{\text{LV,DJA}}\) & M\({}_{\text{W,GCMT}}\)1 & 0.768 & 1.076 & 0.744 & 0.222 & 1287 \\ M\({}_{\text{W,GCMT-related}}\)1 & 0.768 & 1.076 & 0.744 & 0.222 & 1287 \\ M\({}_{\text{W,GCMT-hypothesis}}\) & 0.771 & 1.062 & 0.746 & 0.222 & 1293 \\ \hline \hline \end{tabular}  
* Pool of M\({}_{\text{W}}\) data did not change for the corresponding magnitude type.  
\end{table} 
Table 6: Magnitude homogenization regression results from all moment magnitude pools for local magnitude types from DJA. Figure 7: Resultant magnitude homogenization regressions for M\({}_{\text{W,GCMT-hypothesis}}\) against (**a**) m\({}_{\text{b,ISC}}\), (**b**) m\({}_{\text{b,NEC}}\), and (**c**) m\({}_{\text{b,DJA}}\). Data from M\({}_{\text{W,GCMT}}\) are also shown. Black line is the regression against M\({}_{\text{W,GCMT-hypothesis}}\) while the dashed red line is the regression against M\({}_{\text{W,GCMT}}\). gests that all three moment magnitude pools resulted in similar magnitude homogenization regression parameters. The resultant magnitude homogenization regressions for M\({}_{\text{W,GCMT-related}}\) against M\({}_{\text{L,DJA}}\), M\({}_{\text{D,DJA}}\), and M\({}_{\text{I,V,DJA}}\) are shown in Figure 8a-c, respectively. Since the moment magnitude pools for M\({}_{\text{W,GCMT-related}}\) and M\({}_{\text{W,GCMT-hypothesis}}\) did not differ for M\({}_{\text{L,DJA}}\) and M\({}_{\text{D,DJA}}\) only the results from M\({}_{\text{W,GCMT-related}}\) are plotted for brevity.