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7.2 HYPO71 (Sun only)

By Brian Baptie, BGS

HYPO71 is a computer program for determining hypocenter, magnitude and first motion pattern of local earthquakes written by Lee et al. [1972] using a stepwise statistical regression procedure outlined in Draper and Smith [1966]. The user's manuals were originally released by the authors as a series of open-file reports of the U.S. Geological Survey and contain a full description of input and output parameters and usage. The SEISAN version of the program is essentially the same as the original, the only differences being in the input and output facility. Input data required are phase arrival times, station co-ordinates and a crustal velocity model. SEISAN extracts the arrival information from a Nordic format phase readings file and the station and velocity information from the station input file STATION0.HYP, found either in the SEISAN data directory, DAT, or the local directory. The format of the STATION0.HYP file is described in this manual in the section on the HYPOCENTER algorithm (7.1). HYPO71 supports 13 test variables that influence how the program goes about locating the earthquakes. The default values for these variables were developed for the large and closely spaced networks in central California. These variables are defined at the start of the STATION0.HYP file by the values of TEST(01) to TEST(13). Brief definitions for each of these variables can be found below and full definitions can be found in the HYPO71 manual.

SEISAN constructs a HYPO71 format input file called hypo71.input, containing the station co-ordinates, thickness and velocity for each layer of the crustal model and phase arrival times, then runs the HYPO71 algorithm. The HYPO71 program generates a single output file called hypo71.output. SEISAN reads the information contained in this output file to create two further output files: hypo71.out, a Nordic format phase readings file containing the calculated location; and hypo71.brief, a summary file containing origin time, epicenter, depth, magnitude and station residuals.

There are a number of limitations to the current version.

Running the program

HYPO71 is run from within eev by typing hypo71, at the command line. On successful completion, the information from the hypo71.brief file is displayed on the screen. Below is an example of the screen output.


EXAMPLE RUN

#   29 13 May 2001  8:26 59  L 55.1020 -3.6388 12.3 H      2.9L      16  ?
#   29 13 May 2001  8:26 59  L 55.1020 -3.6388 12.3 H      2.9L      16  ? hypo71
 HYPO71 completed successfully
Date        : 13/05/01
Origin time :  8:26:59.78
Epicentre   : 55- 5.45 deg N   3-37.11 deg W   (  55.0908 /   -3.6185 )
Grid Ref    : 296.716 East /  578.581 North
Depth       :   2.13  Quality     : B B*B
  
              NO DM GAP M  RMS  ERH  ERZ 
Statistics  : 22 10 127 1 0.29  0.8  1.8 
Magnitude   :  2.8 ML     (from  6 readings)
Magnitude   : No valid coda readings
  
 STN   DIST AZM AIN   P-RES P-WT   S-RES  S-WT
 BWH    9.7 346  43   0.08  7.22              
 BHH   25.6  89  43  -0.03  1.03   -0.29  0.51
 BCC   26.8 108  43   0.26  0.71    0.01  0.36
 GCD   32.7 219  43  -0.40  1.75              
 ECK   32.8  72  43  -0.28  1.02              
 ESK   36.4  46  43  -0.39  1.00   -0.91  0.26
 BBH   44.2  84  43  -0.29  0.77              
 BBO   46.1 149  43   0.20  0.54    0.01  0.36
 BDL   54.1 126  38   0.34  0.70              
 BTA   63.2 109  38   0.42  0.69    1.04  0.09
 CKE   65.0 150  38   0.27  0.54              
 XAL   93.4 106  38   0.16  0.54              
 EDI   96.6  16  38   0.33  1.00              
 GIM  104.4 212  38   0.02  1.35    0.36  0.87
 WCB  200.0 198  30  -0.91  0.45              
 CWF  302.7 150  30  -0.08  0.24              
  

Phase names

Only single character phase names are supported, denoted by P or S.

Weighting

Two weighting options may be used.

1
User specified weights assigned by a single integer value in the range 0 to $ 4$ for a given phase. These will assign a weighting factor of $ 1$ , $ 0.75$ , $ 0.5$ , $ 0.25 $ or $ 0.0 $ to that phase. Also, a weighting of 9 will assign the absolute time a weighting of 0.0 but will allow the use of relative times if a valid S-arrival is found for that station. The relative arrival time will be assigned the weight of the S-phase.
2
Distance weighting as given by the relationship $ w = (xfar - \Delta ) / (xfar -xnear)$ . By default the parameters xnear and xfar are read from the STATION0.HYP file. However, they can also be defined in the s-file and are used if RESET TEST(107) is set to 1. The paramters are specified in the s-file by a type-3 line, e.g.
XNEAR 150.0 XFAR 300.0 SDEP 7.5

Using a starting location

The user can specify the use of a starting depth and epicenter by entering the character `S' in columns 44 and/or 45 respectively, in the header line of the input readings file. The starting depth and epicenter are given by the values in the header line of the readings files. Otherwise, the starting epicenter is set to be the latitude and longitude of the station with the earliest P-arrival.

Fixing the location Using the character `F' instead of `S' in columns 44 and 45 of the header line fixes the depth and/or epicenter to the values given in the header line.

Errors

The standard error output from the HYPO71 program is contained in an additional line in the Nordic format readings output, hypo71.out, defined by the characters `83' in columns 79 and 80.

The HYPO71 error line format is defined as follows:

Columns Format Description
2-14 A13 `HYPO71 errors'
19 A1 Location quality, Q
21-23 A1*A1 QS and QD rating
25-27 I3 Number phases used
28-30 I3 Distance to closest station
32-34 I3 Azimuthal gap
36 A1 `1'. (Always output?)
38-41 F4.2 RMS
43-46 F4.1 ERH (km)
48-51 F4.1 ERZ (km)
79-80 A2 `83'

RMS is defined as \bgroup\color{black}$ \surd[\sum_{i}R^2 / N]$\egroup where \bgroup\color{black}$ R_{i}$\egroup is the time residual at the \bgroup\color{black}$ i^{th}$\egroup station. ERH is the standard error in the epicenter in km given by \bgroup\color{black}$ \surd[SDX^2 + SDY^2]$\egroup , where SDX and SDY are the standard errors in latitude and longitude. ERZ is the standard error in the focal depth in km. The location quality, Q, is a measure intended to indicate the general quality of the solution and is defined by a single character.

Q Epicenter Focal Depth
A excellent good
B good fair
C fair poor
D poor poor

Q is taken as the average of QS and QD, where QS is a statistical measure of the solution and QD is rated according to the station distribution.

QS RMS (S) ERH (km) ERZ (km)
A \bgroup\color{black}$ < 0.15$\egroup \bgroup\color{black}$ \le 1.0 $\egroup \bgroup\color{black}$ \le 2.0$\egroup
B \bgroup\color{black}$ < 0.30$\egroup \bgroup\color{black}$ \le 2.5 $\egroup \bgroup\color{black}$ \le 5.0$\egroup
C \bgroup\color{black}$ < 0.50$\egroup \bgroup\color{black}$ \le 5.0$\egroup
D Other

QD N Gap DMIN
A \bgroup\color{black}$ \ge 6$\egroup \bgroup\color{black}$ \le 90$\egroup \bgroup\color{black}$ \le$\egroup Depth or 5 km
B \bgroup\color{black}$ \ge 6$\egroup \bgroup\color{black}$ \le 135$\egroup \bgroup\color{black}$ \le$\egroup 2*Depth or 10 km
C \bgroup\color{black}$ \ge 6$\egroup \bgroup\color{black}$ \le 180$\egroup \bgroup\color{black}$ \le$\egroup 50 km
D Other

Magnitude

Both duration and amplitude can be used to calculate magnitudes as with HYPOCENTER (see above for details). Duration, amplitude and period for each station are used to give a magnitude value for each station. These values are averaged to give the event magnitudes.

The test variables

Test Variable Default Value Definition
TEST(01) 0.1 S TEST(01) is the cut-off value below which Jeffreys' weighting of residuals is not used. It should be set to a value approximately equal to the overall timing accuracy of P-arrivals in seconds.
TEST(02) 10 km For each iteration, if the epicentral adjustment is greater than TEST(02), this step is recalculated without focal depth adjustment. TEST(02) should be set to a value approximately equal to the station spacing in km.
TEST(03) 2. Critical F-value for the stepwise multiple regression. TEST(03) A value between 0.5 and 2 is recommended.
TEST(04) 0.05 km If the hypocentral adjustment is less than TEST(04) then Geiger's iteration is terminated.
TEST(05) 5.0 km If the focal depth adjustment, DZ, is greater than TEST(05), DZ is reset to DZ/(K+1), where K= DZ/TEST(05). TEST(05) should be set to a value approximately half the range of focal depth expected.
TEST(06) 4. If no significant variation is found in the stepwise multiple regression, the critical F-value, TEST(03) is reduced to TEST(03)/TEST(06) and the regression is repeated.
TEST(07) -0.87 Coda magnitude constant a, where \bgroup\color{black}$ Mc = a + b log10(T) + c \Delta + \Delta M$\egroup
TEST(08) 2.0 Coda magnitude constant b.
TEST(09) 0.0035 Coda magnitude constant c.
TEST(10) 100 km If the latitude or longitude adjustment (DX or DY) is greater than TEST(10) then DX is reset to DX/(J+1), and DY is reset to DY/(J+1), where J=D/TEST(10), D being the larger of DX or DY.
TEST(11) 8.0 Maximum number of iterations in the hypocentral adjustment.
TEST(12) 0.5 If the focal depth adjustment (DZ) would place the hypocenter in the air, the DZ is reset to DZ= -Z * TEST(12), where Z is the focal depth.
TEST(13) 1.0 km Parameter for auxiliary RMS values


next up previous contents index
Next: 7.3 The Hypoinverse program, Up: 7. Hypocenter location programs: Previous: 7.1.16 Problems   Contents   Index
Peter Voss : Thu Apr 27 12:33:57 UTC 2017