Results of Error Analysis for the T-Phase Locations
T-K Andy Lau

The results are the 3 contour plots of the standard errors for Latitude, Longitude, and Origin Time of the T-Phase locations. The error contours are generated by the Monte Carlo Simulations. The random errors are normally distributed with the mean=0 and standard deviation = 0.75 (from calibration). The errors are added to the arrival times from 6 hydrophones for each grid cell in the region. The standard errors for each cell are the results of experiment repeated 100 times. For more detail. check out the full report.

For all 3 figures below, weighted and unweighted results can be seen by clicking the pictures. Cclick on the area inside the square marks ( the hydrophones ) for an enlarged view of the area.

error map
Figure 1: The contour lines are in minutes, 1o=60 minutes.

error map
Figure 2: The contour lines are in minutes, 1o=60 minutes.

error map
^Figure 3: The contour lines are in seconds.^

For all 3 figures above, the simulations did not include the gulf of Alaska. The area to the west of the Washington and Oregon coast lines are blind spots for the hydrophones. The abrupt contours at between -50o &-40o latitudes and -180o longitude were caused by the Islands of New Zealand and Chatham.

Interpolation of the T-Phase Location Errors

Figures 1 and 2 show the contours of standard errors in minutes for latitudes and longitudes when computing the T-Phase event origins. For example, if an event is located at 20oN and 150oW, the standard errors for this position will be approximately 6 minutes in latitude and 20 minutes in longitude, i.e., the ranges of the computed location will be 20oN +/- 6 minutes and 150oW +/- 20 minutes. By the Empirical rule in statistics, these are the approximately 68% confidence intervals. For 95.5%, double the errors, e.g., 20oN +/- 2x(6 minutes).  For 99.7%, triple the errors. Again this is assuming the error distribution of arrival times is +/- 0.75 seconds.

For other results and Discussion, check out the full report.

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