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AUXILIARY MATERIALS FOR
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Global and along-strike variations of source duration and scaling for
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intermediate-depth and deep focus earthquakes
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Piero Poli and German Prieto,
Dept. of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of
Technology
77 Massachusetts Avenue Cambridge, MA 02139-4307.
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Figure S1: Source time function estimation. Left panel shows individual
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traces after cross-correlation alignment, SNR selection and correlation coefficients
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selection. Right is the stack of the aligned traces (blue) and its envelope (black) from
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which the rupture duration is estimated. . The estimated rupture duration is 6s.
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depth= 84.3km log10(M )=17.579
depth= 290.6km log10(M )=18.7311
0
0
5
5
4
4
3
3
2
2
1
1
0
2000
2200
2400
2600
0
depth= 221.9km log10(M )=19.968
2000
2200
2400
2600
depth= 90.2km log10(M )=20.437
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0
5
5
4
4
3
3
2
2
1
1
18
0
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FIGURE S2: Example of partial stack for 4 selected events. Event name, moment and
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depth are showed on top of each figure.
2000
2200
2400
2600
0
2000
2200
2400
2600
depth= 84.3km log10(M )=17.579
depth= 290.6km log10(M )=18.7311
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15
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# of stations
# of stations
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20
10
5
0
20
10
0
100
200
azimuth
300
0
400
0
depth= 90.2km log10(M )=20.437
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30
# of stations
# of stations
300
400
0
40
10
5
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200
azimuth
depth= 221.9km log10(M )=19.968
0
20
0
100
20
10
0
100
200
azimuth
300
400
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0
100
200
azimuth
300
400
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FIGURE S3: Azimuthal distribution of the stations used to estimate the partial stack
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source time function in figure S2. The number of stations for bins of 1deg is shown.
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FIGURE S4: Example of the attenuation operator (t*) effect on the estimated source
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time function.
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Mag. limit=6.2 misfit emp=3.0838 misfit 1/3=434.8896
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data
emp. scal.
1/3 scal
1.5
log10(duration)
log10(duration)
Mag. limit=5.5 misfit emp=12.2914 misfit 1/3=3509.3046
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data
emp. scal.
1/3 scal
1.5
0.5
0.5
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log10(moment)
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log10(duration)
Mag. limit=6.5 misfit emp=1.5409 misfit 1/3=116.9429
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data
emp. scal.
1/3 scal
1.5
1
0.5
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18
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log10(moment)
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Mag. limit=6.8 misfit emp=0.71994 misfit 1/3=148.9289
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data
emp. scal.
1/3 scal
1.5
log10(duration)
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1
1
0.5
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log10(moment)
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19
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log10(moment)
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Figure S5: Estimated remnant scaling after 1/3 scaling (blue lines) and empirical
scaling (black lines), as function of magnitude cut-off. Red dots are the data scaled
using the empirical scaling value.
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FIGURE S6: Unsmoothed scaled duration for the 642 events studied.
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(a)
1.5
log10(t3) [s]
1
0.5
0
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17.5
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18.5
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log10(M ) [Nm]
19.5
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20.5
0
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FIGURE S7: Scaled duration for non self-similar model (𝜖 = 1), moment and local
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shear velocity correction.
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Table S8: Scaling parameter  and moment reference (1019Nm) duration TS for
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various subduction zones. Parameters estimated by fitting estimated source
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durations as a function of magnitude (see Figure S7).

Scaled duration
Bonin
0.81
8.91s
Japan
0.79
8.65s
Central America
0.34
9.52s
Tonga
0.84
7.69s
South America
0.87
7.39s
Alaska
1.46
4.39s
Sumatra
0.60
8.69s
Santa Cruz
0.75
8.98s
Solomon
1.08
7.10s
Subduction zone
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FIGURE S9: Scaled duration as function of moment for different subduction zones.
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The name and 𝜖 and the moment reference (1019Nm) duration for each slab is
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reported on the figure. Color code is the depth of the earthquakes.
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FIGURE S10: Correlation of averaged scaled duration for different subduction zones
with relative plate velocity at the trench (top) and plate age (bottom). The depth
range analyzed is showed on the figure.