Ranking with respect to the reference

Excellent	Good	Fair	Poor
gallovic2 (5)   somala1 (12)	SIVdata (1)   causse (2)   fsg (3)   gallovic (4)   gallovic3 (6)   hobyy1 (8)   hobyy3 (9)   navid (10)	hobyt (7)   somala (11)

Dissimilarity matrix

Solution	SIVdata	causse	fsg	gallovic	gallovic2	gallovic3	hobyt	hobyy1	hobyy3	navid	somala	somala1
SIVdata	0.00	26.92	2.90	19.77	7.85	23.64	24.27	21.54	19.75	6.94	29.61	11.69
causse	26.92	0.00	26.57	23.77	18.62	17.64	37.66	35.30	27.97	23.08	32.64	23.21
fsg	2.90	26.57	0.00	19.51	5.80	20.14	24.58	16.73	15.42	2.88	32.36	8.88
gallovic	19.77	23.77	19.51	0.00	11.09	8.84	43.24	23.98	32.00	19.77	35.05	18.26
gallovic2	7.85	18.62	5.80	11.09	0.00	10.74	32.10	19.82	17.63	7.32	25.48	9.79
gallovic3	23.64	17.64	20.14	8.84	10.74	0.00	47.15	19.59	26.97	19.65	30.33	16.58
hobyt	24.27	37.66	24.58	43.24	32.10	47.15	0.00	37.10	34.32	25.18	52.99	28.77
hobyy1	21.54	35.30	16.73	23.98	19.82	19.59	37.10	0.00	30.94	15.09	45.51	18.63
hobyy3	19.75	27.97	15.42	32.00	17.63	26.97	34.32	30.94	0.00	11.38	42.19	20.18
navid	6.94	23.08	2.88	19.77	7.32	19.65	25.18	15.09	11.38	0.00	38.40	10.33
somala	29.61	32.64	32.36	35.05	25.48	30.33	52.99	45.51	42.19	38.40	0.00	24.47
somala1	11.69	23.21	8.88	18.26	9.79	16.58	28.77	18.63	20.18	10.33	24.47	0.00

Each element represents a measure of dissimilarity between pairs of models obtained using normalized square metric

Note
This analysis employs multidimensional scaling (Borg and Groenen, 2005) to compare the slip models. The dissimilarities are obtained for all pairs of slip models, viz. dissimilarity matrix and embedded in low dimensional Euclidean space. We define four categories or levels of similarity: ”excellent”, ”good”, ”fair”, and ”poor” with respect to a reference (or target) solution or a centroid measure in absence of a reference solution.

Graphical interpretation for the similarity scale is as follows:

Excellent	Solution/s located inside the innermost circle
Good	Solution/s located between the innermost and middle circle
Fair	Solution/s located between the middle and outermost circle
Poor	Solutions/s located outside the outermost circle

For more details on the technique:

1.	Borg, I. and P. Groenen (2005). Modern Multidimensional Scaling, 2nd edition. New York, Springer
2.	Razafindrakoto, H. N., Mai, P. M., Genton, M. G., Zhang, L., and Thingbaijam, K. K. (2015). Quantifying variability in earthquake rupture models using multidimensional scaling: application to the 2011 Tohoku earthquake. Geophysical Journal International, 202(1), 17-40.