Optimal seismic monitoring for event location with application to on site inspection of the comprehensive nuclear test ban treaty

Metrika

Volumn 58, Issue 1, 2003, Pages 31-57

  Steinberg, David M ^a   Rabinowitz, Nitzan ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b GEOPHYSICAL INSTITUTE OF ISRAEL   (Israel)

Author keywords

D optimal Design; Hypocenter Location; Kiefer Wolfowitz Equivalence Theorem; Nuclear Arms Treaties; Seismic Network Configuration

Indexed keywords

EID: 17444429191     PISSN: 00261335     EISSN: 1435926X     Source Type: Journal    
DOI: 10.1007/s001840200222     Document Type: Article

References (50)

1. Aki K, Richards P (1980) Quantitative seismology: Theory and methods, vol I and II. New York: W.H. Freeman
2. Andrews DF, Herzberg AM (1979) The robustness and optimality of response surface designs. Journal of Statistical Planning and Inference 3:249-257
3. Andrews DF, Pregibon D (1978) Finding outliers that matter. Journal of the Royal Statistical Society, Series B 40:85-93
4. Atkinson AC (1996) The usefulness of optimum experimental designs. Journal of the Royal Statistical Society, Series B 58:59-76
5. s-optimal designs for determining the order of a chemical reaction. Technometrics 39:347-356
6. Atkinson AC, Donev AN (1992) Optimum experimental designs. Oxford: Oxford University Press
7. Box GEP, Draper NR (1975) Robust designs. Biometrika 62:347-352
8. Box GEP, Lucas HL (1959) Design of experiments in nonlinear situations. Biometrika 46:77-90
9. Bratt S, Bache TC (1988) Locating events with a sparse network of regional arrays. Bulletin of the Seismological Society of America 78:780-798
10. Buland R (1976) The mechanics of locating earthquakes. Bulletin of the Seismological Society of America 66:173-187
11. Chaloner K, Larntz K (1989) Optimal Bayesian experimental design applied to logistic regression experiments. Journal of Statistical Planning and Inference 21:191-208
12. Cook RD, Weisberg S (1982) Residuals and influence in regression. New York: Chapman and Hall
13. Curtis A (1999) Optimal experiment design: cross-borehole tomographic examples. Geophysical Journal International 136:637-650
14. Flinn EA (1965) Confidence region and error determinations for seimic event location. Reviews of Geophysics 3:157-185
15. Galil Z, Kiefer J (1980) Time- and space-saving computer methods related to Mitchell's DET-MAX, for finding D-optimum designs. Technometrics 22:301-313
16. Gomberg J, Shedlock K, Roecker S (1990) The effect of S-wave arrival times on the accuracy of hypocenter estimation. Bulletin of the Seismological Society of America 80:1605-1628
17. Herzberg AM, Andrews DF (1976) Some considerations in the optimal design of experiments in non-optimal situations. Journal of the Royal Statistical Society, Series B 38:284-289
18. Hoaglin DC, Welsch R (1978) The hat matrix in regression and ANOVA. The American Statistician 32:17-22
19. Jordan TH, Sverdrup KA (1981) Teleseismic location techniques and their applications to earthquake clusters in the south-central Pacific. Bulletin of the Seismological Society of America 71:1105-1130
20. Kiefer J (1961) Optimum experimental designs V, with applications to systematic and rotatable designs. In: Neyman J (ed) Proceedings of the Fourth Berkeley Symposium, Berkeley: University of California Press, 381-405
21. Kiefer J, Wolfowitz J (1960) The equivalence of two extremum problems. Canadian Journal of Mathematics 12:363-366
22. Kijko A (1977) An algorithm for optimum distribution of a regional seismic network-I. Pageoph 115:999-1009
23. Kissling E (1988) Geotomography with local earthquake data. Reviews of Geophysics 26:659-698
24. Kissling E, Ellsworth WL, Eberhart-Phillips D, Kradolfer U (1994) Initial reference model in local earthquake tomography. Journal of Geophysical Research 99:19635-19646
25. Klein RW (1978) Hypocenter location program hypoinverse. U.S. Geological Survey Open File Rep. 78-694
26. Koren N (1989) Optimal design of seismographic networks. Unpublished M.Sc. Thesis, Tel Aviv University
27. Lauter E (1974) Experimental design in a class of models. Mathematische Operationsforschung und Statistik 5:379-396
28. Lee WHK, Lahr JC (1972) HYPO71 a computer program for determining hypocenter magniudes and first motion pattern of local earthquakes. U.S. Geological Survey Open File Rep. 75-311
29. Lee WHK, Stewart SW (1981) Principles and applications of micro earthquake networks. New York: Academic Press
30. Lilwall RC, Francis TJG (1978) Hypocentral resolution of small ocean bottom seismic networks. Geophysical Journal of the Royal Astronomical Society 54:721-728
31. Lindley DV (1956) On a measure of information provided by an experiment. Annals of Mathematical Statistics 27:986-1005
32. Minster JB, Jordan TH, Molnar P, Haines E (1974) Numerical modeling of instantaneous plate tectonics. Geophysical Journal of the Royal Astronomical Society 36:541-576
33. Mitchell TJ (1974) An algorithm for construction of "D-optimal" experimental design. Technometrics 16:203-210
34. Pavlis GL (1987) Appraising earthquake hypocenter location errors: a complete practical approach for single-evemt location. Bulletin of the Seismological Society of America 76:1699-1717
35. Peters DC, Crosson RS (1972) Application of prediction analysis to hypocenter determination using local array. Bulletin of the Seismological Society of America 62:775-788
36. Pukelsheim F (1993) Optimal design of experiments. New York: John Wiley
37. Rabinowitz N (1986) On identifying influential arrivals by means of density information matrix. Bulletin of the Seismological Society of America 76:1817-1821
38. Rabinowitz N, Steinberg DM (1988) Effect of single arrival time on the hypocentral focal depth determination. Geophysical Journal 94:567-570
39. Rabinowitz N, Steinberg DM (1990) Optimal configuration of a seismographic network: a statistical approach. Bulletin of the Seismological Society of America 80:187-196
40. Rabinowitz N, Steinberg DM (2000) A statistical outlook on the problem of seismic network configuration. In: Thurber C, Rabinowitz N (eds) Advances in Earthquake Location, Amsterdam: Kluwer Academic Press
41. Satake K (1985) Effects of station coverage on moment tensor estimation. Bulletin of the Seismological Society of America 75:1657-1667
42. Shimshoni Y, Mizrachi D, Steinberg DM, Rabinowitz N (1992) OPTINET: A computer program for designing the optinal configuration of a seismographic network. Institute for Petroleum Research and Geophysics Report No. 321/47/91(4)
43. Silvey SD (1980) Optimal design. New York: Chapman and Hall
44. Souriau A, Woodhouse JH (1985) A strategy for deploying a Seismological network for global studies of earth structure. Bulletin of the Seismological Society of America 75:1179-1193
45. Steinberg DM, Rabinowitz N, Shimshoni Y, Mizrachi D (1995) Configuring a seismographic network for optimal monitoring of fault lines and multiple sources. Bulletin of the Seismological Society of America 85:1847-1857
46. Thurber C (1981) Earth structure and earthquake location in the Coyote Lake area, Central California. Unpublished Ph.D. Thesis, Massachusetts Institute of Technolgy, Cambridge, MA, 332 pages
47. Thurber C (1993) Local earthquake tomography. In: Lyer HM, Hirahara K (eds) Seismic Tomography: Theory and Practice, London: Chapman and Hall, 563-583
48. Thurber CH, Engdahl ER (2000) Advances in global seismic event location. In: Thurber CH, Rabinowitz N (eds) Advances in Seismic Event Location, Dordrecht: Kluwer Academic Publishers, 3-22
49. Uhrhammer RA (1980) Analysis of small seismographic station networks. Bulletin of the Seismological Society of America 70:1369-1379
50. Welch WJ (1982) Branch-and-bound search for experimental designs based on D optimality and other criteria. Technometrics 24:41-48