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Articles

Calibration of Imperfect Geophysical Models by Multiple Satellite Interferograms with Measurement Bias

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Pages 453-464 | Received 06 Jun 2021, Accepted 11 Feb 2023, Published online: 05 Apr 2023

References

  • Anderson, K., and Segall, P. (2011), “Physics-based Models of Ground Deformation and Extrusion Rate at Effusively Erupting Volcanoes,” Journal of Geophysical Research: Solid Earth, 116, B07204. DOI: 10.1029/2010JB007939.
  • Anderson, K. R., Johanson, I. A., Patrick, M. R., Gu, M., Segall, P., Poland, M. P., Montgomery-Brown, E. K., and Miklius, A. (2019), “Magma Reservoir Failure and the Onset of Caldera Collapse at K i¯lauea volcano in 2018,” Science, 366, eaaz1822. DOI: 10.1126/science.aaz1822.
  • Anderson, K. R., and Poland, M. P. (2016), “Bayesian Estimation of Magma Supply, Storage, and Eruption Rates Using a Multiphysical Volcano Model: K i¯lauea Volcano, 2000–2012,” Earth and Planetary Science Letters, 447, 161–171. DOI: 10.1016/j.epsl.2016.04.029.
  • Arendt, P. D., Apley, D. W., and Chen, W. (2012), “Quantification of Model Uncertainty: Calibration, Model Discrepancy, and Identifiability,” Journal of Mechanical Design, 134, 100908. DOI: 10.1115/1.4007390.
  • Arendt, P. D., Apley, D. W., Chen, W., Lamb, D., and Gorsich, D. (2012), “Improving Identifiability in Model Calibration Using Multiple Responses,” Journal of Mechanical Design, 134, 100909. DOI: 10.1115/1.4007573.
  • Bayarri, M. J., Berger, J. O., Paulo, R., Sacks, J., Cafeo, J. A., Cavendish, J., Lin, C.-H., and Tu, J. (2007), “A Framework for Validation of Computer Models,” Technometrics, 49, 138–154. DOI: 10.1198/004017007000000092.
  • Bürgmann, R., Rosen, P. A., and Fielding, E. J. (2000), “Synthetic Aperture Radar Interferometry to Measure Earth’s Surface Topography and Its Deformation,” Annual Review of Earth and Planetary Sciences, 28, 169–209. DOI: 10.1146/annurev.earth.28.1.169.
  • Casella, G., and Berger, R. L. (2002), Statistical Inference (2nd ed.), Noida: Cengage Learning.
  • Chen, C. W., and Zebker, H. A. (2001), “Two-Dimensional Phase Unwrapping with Use of Statistical Models for Cost Functions in Nonlinear Optimization,” Journal of the Optical Society of America A, 18, 338–351. DOI: 10.1364/josaa.18.000338.
  • Fukushima, Y., Cayol, V., and Durand, P. (2005), “Finding Realistic Dike Models from Interferometric Synthetic Aperture Radar Data: The February 2000 Eruption at Piton de la Fournaise,” Journal of Geophysical Research: Solid Earth, 110, B03206. DOI: 10.1029/2004JB003268.
  • Gong, W., Lu, Z., and Meyer, F. (2016), “Uncertainties in Estimating Magma Source Parameters from InSAR Observation,” in Natural Hazard Uncertainty Assessment: Modeling and Decision Support, Geophysical Monograph 223, eds. K. Riley, P. Webley, and M. Thompson, pp. 89–104, Hoboken, NJ: Wiley.
  • Gu, M. (2018), “Jointly Robust Prior for Gaussian Stochastic Process in Emulation, Calibration and Variable Selection,” Bayesian Analysis, 14, 857–885. DOI: 10.1214/18-BA1133.
  • Gu, M. (2022), “Robustcalibration: Robust Calibration of Computer Models in R,” arXiv preprint arXiv:2201.01476.
  • Gu, M., and Wang, L. (2018), “Scaled Gaussian Stochastic Process for Computer Model Calibration and Prediction,” SIAM/ASA Journal on Uncertainty Quantification, 6, 1555–1583. DOI: 10.1137/17M1159890.
  • Gu, M., Xie, F., and Wang, L. (2022), “A Theoretical Framework of the Scaled Gaussian Stochastic Process in Prediction and Calibration,” SIAM/ASA Journal on Uncertainty Quantification, 10, 1435–1460. DOI: 10.1137/21M1409949.
  • Handcock, M. S., and Stein, M. L. (1993), “A Bayesian Analysis of Kriging,” Technometrics, 35, 403–410. DOI: 10.1080/00401706.1993.10485354.
  • Higdon, D., Gattiker, J., Williams, B., and Rightley, M. (2008), “Computer Model Calibration using High-Dimensional Output,” Journal of the American Statistical Association, 103, 570–583. DOI: 10.1198/016214507000000888.
  • Hodges, J. S., and Reich, B. J. (2010), “Adding Spatially-Correlated Errors can Mess Up the Fixed Effect You Love,” The American Statistician, 64, 325–334. DOI: 10.1198/tast.2010.10052.
  • Hooper, A., Segall, P., and Zebker, H. (2007), “Persistent Scatterer InSAR for Crustal Deformation Analysis, with Application to Volcan Alcedo, Galapagos,” Journal of Geophysical Research, 112, 1–19. DOI: 10.1029/2006JB004763.
  • Jonsson, S., Zebker, H., Segall, P., and Amelung, F. (2002), “Fault Slip Distribution of the 1999 Mw 7.1 Hector Mine, California, Earthquake, Estimated from Satellite Radar and GPS Measurements,” Bulletin of the Seismological Society of America, 92, 1377–1389. DOI: 10.1785/0120000922.
  • Joseph, V. R., and Mak, S. (2021), “Supervised Compression of Big Data,” Statistical Analysis and Data Mining: The ASA Data Science Journal, 14, 217–229. DOI: 10.1002/sam.11508.
  • Kennedy, M. C., and O’Hagan, A. (2001), “Bayesian Calibration of Computer Models,” Journal of the Royal Statistical Society, Series B, 63, 425–464. DOI: 10.1111/1467-9868.00294.
  • Knospe, S., and Jonsson, S. (2010), “Covariance Estimation for Dinsar Surface Deformation Measurements in the Presence of Anisotropic Atmospheric Noise,” IEEE Transactions on Geoscience and Remote Sensing, 48, 2057–2065. DOI: 10.1109/TGRS.2009.2033937.
  • Lohman, R. B., and Simons, M. (2005), “Some Thoughts on the Use of Insar Data to Constrain Models of Surface Deformation: Noise Structure and Data Downsampling,” Geochemistry, Geophysics, Geosystems, 6, Q01007. DOI: 10.1029/2004GC000841.
  • Mak, S., and Joseph, V. R. (2018), “Support Points,” Annals of Statistics, 46, 2562–2592.
  • Massonnet, D., Briole, P., and Arnaud, A. (1995), “Deflation of Mount Etna Monitored by Spaceborne Radar Interferometry,” Nature, 375, 567–570. DOI: 10.1038/375567a0.
  • Mogi, K. (1958), “Relations between the Eruptions of Various Volcanoes and the Deformations of the Ground Surfaces Around Them,” Bulletin of the Earthquake Research Institute, University of Tokyo, 36, 99–134.
  • Montgomery-Brown, E. K., Wicks, C. W., Cervelli, P. F., Langbein, J. O., Svarc, J. L., Shelly, D. R., Hill, D. P., and Lisowski, M. (2015), “Renewed Inflation of Long Valley Caldera, California (2011 to 2014),” Geophysical Research Letters, 42, 5250–5257. DOI: 10.1002/2015GL064338.
  • Neal, C. A., Brantley, S., Antolik, L., Babb, J., Burgess, M., Calles, K., Cappos, M., Chang, J., Conway, S., Desmither, L., et al. (2019), “The 2018 Rift Eruption and Summit Collapse of K i¯lauea Volcano,” Science, 363, 367–374. DOI: 10.1126/science.aav7046.
  • Pinel, V., Poland, M., and Hooper, A. (2014), “Volcanology: Lessons Learned from Synthetic Aperture Radar imagery,” Journal of Volcanology and Geothermal Research, 289, 81–113. DOI: 10.1016/j.jvolgeores.2014.10.010.
  • Plumlee, M. (2017),” Bayesian Calibration of Inexact Computer Models,” Journal of the American Statistical Association, 112, 1274–1285. DOI: 10.1080/01621459.2016.1211016.
  • Poland, M. P., Miklius, A., and Montgomery-Brown, E. K. (2014), “Magma Supply, Storage, and Transport at Shield-Stage Hawaiian Volcanoes,” in Characteristics of Hawaiian Volcanoes, chapter 5, pp. 179–234. U.S. Geological Survey Professional Paper 1801.
  • Pritchard, M., Simons, M., Rosen, P., Hensley, S., and Webb, F. (2002), “Co-seismic Slip from the 1995 July 30 Mw = 8.1 Antofagasta, Chile, Earthquake as Constrained by InSAR and GPS Observations,” Geophysical Journal International, 150, 362–376. DOI: 10.1046/j.1365-246X.2002.01661.x.
  • Rasmussen, C. E. (2006), Gaussian Processes for Machine Learning, Cambridge, MA: MIT Press.
  • Reich, B. J., Hodges, J. S., and Zadnik, V. (2006), “Effects of Residual Smoothing on the Posterior of the Fixed Effects in Disease-Mapping Models,” Biometrics, 62, 1197–1206. DOI: 10.1111/j.1541-0420.2006.00617.x.
  • Simons, M., Fialko, Y., and Rivera, L. (2002), “Coseismic Deformation from the 1999 Mw 7.1 Hector Mine, California, Earthquake as Inferred from InSAR and GPS Observations,” Bulletin of the Seismological Society of America, 92, 1390–1402. DOI: 10.1785/0120000933.
  • Simons, M., and Rosen, P. A. (2007), “Interferometric Synthetic Aperture Radar Geodesy,” in Treatise on Geophysics (Vol. 3), pp. 391–446, Amsterdam: Elsevier Press.
  • Tuo, R., and Wu, C. J. (2015), “Efficient Calibration for Imperfect Computer Models,” The Annals of Statistics, 43, 2331–2352. DOI: 10.1214/15-AOS1314.
  • Tuo, R., and Wu, C. J. (2016), “A Theoretical Framework for Calibration in Computer Models: Parametrization, Estimation and Convergence Properties,” SIAM/ASA Journal on Uncertainty Quantification, 4, 767–795.
  • Wang, C., Ding, X., Li, Q., and Jiang, M. (2014), “Equation-based InSAR Data Quadtree Downsampling for Earthquake Slip Distribution Inversion,” IEEE Geoscience and Remote Sensing Letters, 11, 2060–2064.
  • Wang, W., Tuo, R., and Jeff Wu, C. (2020), “On Prediction Properties of Kriging: Uniform Error Bounds and Robustness,” Journal of the American Statistical Association, 115, 920–930. DOI: 10.1080/01621459.2019.1598868.
  • Wong, R. K., Storlie, C. B., and Lee, T. (2017), “A Frequentist Approach to Computer Model Calibration,” Journal of the Royal Statistical Society, Series B, 79, 635–648. DOI: 10.1111/rssb.12182.
  • Zebker, H. A., Rosen, P. A., and Hensley, S. (1997), “Atmospheric Effects in Interferometric Synthetic Aperture Radar Surface Deformation and Topographic Maps,” Journal of Geophysical Research: Solid Earth, 102, 7547–7563. DOI: 10.1029/96JB03804.
  • Zhang, H. (2004), “Inconsistent Estimation and Asymptotically Equal Interpolations in Model-based Geostatistics,” Journal of the American Statistical Association, 99, 250–261. DOI: 10.1198/016214504000000241.

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