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<article language="en">
	<journal>
		<journal_title>Geoscientific Model Development Discussions</journal_title>
		<journal_url>www.geosci-model-dev-discuss.net</journal_url>
		<issn>1991-9611</issn>
		<eissn>1991-962X</eissn>
		<volume_number>2</volume_number>
		<issue_number>1</issue_number>
		<publication_year>2009</publication_year>
	</journal>
	<doi>10.5194/gmdd-2-485-2009</doi>
	<article_url>http://www.geosci-model-dev-discuss.net/2/485/2009/</article_url>
	<abstract_html>http://www.geosci-model-dev-discuss.net/2/485/2009/gmdd-2-485-2009.html</abstract_html>
	<fulltext_pdf>http://www.geosci-model-dev-discuss.net/2/485/2009/gmdd-2-485-2009.pdf</fulltext_pdf>
	<start_page>485</start_page>
	<end_page>506</end_page>
	<publication_date>2009-05-12</publication_date>
	<article_title content_type="html">Bayesian calibration of the Thermosphere-Ionosphere Electrodynamics General Circulation Model (TIE-GCM)</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>S. Guillas</name>
			<email>serge@stats.ucl.ac.uk</email>
		</author>
		<author numeration="2" affiliations="2">
			<name>J. Rougier</name>
		</author>
		<author numeration="3" affiliations="3">
			<name>A. Maute</name>
		</author>
		<author numeration="4" affiliations="3">
			<name>A. D. Richmond</name>
		</author>
		<author numeration="5" affiliations="4">
			<name>C. D. Linkletter</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Department of Statistical Science &amp; Aon Benfield UCL Hazard Research Centre, University College London, UK</affiliation>
		<affiliation numeration="2" content_type="html">Department of Mathematics, University of Bristol, UK</affiliation>
		<affiliation numeration="3" content_type="html">High Altitude Observatory, National Center for Atmospheric Research, Boulder CO, USA</affiliation>
		<affiliation numeration="4" content_type="html">Center for Statistical Sciences, Brown University, Providence, RI, USA</affiliation>
	</affiliations>
	<abstract content_type="html">In this paper, we demonstrate a procedure for calibrating a complex computer
simulation model having uncertain inputs and internal parameters, with
application to the NCAR Thermosphere-Ionosphere-Electrodynamics General
Circulation Model (TIE-GCM). We compare simulated magnetic perturbations with
observations at two ground locations for various combinations of calibration
parameters. These calibration parameters are: the amplitude of the
semidiurnal tidal perturbation in the height of a constant-pressure surface
at the TIE-GCM lower boundary, the local time at which this maximises and the
minimum night-time electron density. A fully Bayesian approach, that
describes correlations in time and in the calibration input space is
implemented. A Markov Chain Monte Carlo (MCMC) approach leads to potential
optimal values for the amplitude and phase (within the limitations of the
selected data and calibration parameters) but not for the minimum night-time
electron density. The procedure can be extended to include additional data
types and calibration parameters.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Bayarri, M J., Berger, J O., Cafeo, J., Garcia-Donato, G., Liu, F., Palomo, J., Parthasarathy, R J., Paulo, R., Sacks, J., and Walsh, D.: Computer model validation with functional output, Ann. Statist., 35, 1874–1906, 2007. </reference>
		<reference numeration="2" content_type="text"> Fang, T., Richmond, A., Liu, J., Maute, A., Lin, C., Chen, C., and Harper, B.: Model simulation of the equatorial electrojet in the Peruvian and Philippine sectors, J. Atmos. Solar-Terr. Phys., 70, 2203–2211, 2008. </reference>
		<reference numeration="3" content_type="text"> Fesen, C G., Crowley, G., Roble, R G., Richmond, A D., and Fejer, B G.: Simulation of the pre-reversal enhancement in the low latitude vertical ion drifts, Geophys. Res. Let., 27(13), 1851–1854, 2000. </reference>
		<reference numeration="4" content_type="text"> Gilks, W R., Richardson, S., and Spiegelhalter, D J. (Eds.): Markov chain Monte Carlo in practice, Interdisciplinary Statistics, Chapman &amp; Hall, London, 1996. </reference>
		<reference numeration="5" content_type="text"> Gneiting, T.: Correlation functions for atmospheric data analysis, Q. J. Roy. Meteorol. Soc., 125, 2449–2464, 1999. </reference>
		<reference numeration="6" content_type="text"> Hagan, M. and Forbes, J.: Migrating and nonmigrating diurnal tides in the middle and upper atmosphere excited by tropospheric latent heat release, J. Geophys. Res., 107(D24), 4754, \doi10.1029/2001JD001236, 2002. </reference>
		<reference numeration="7" content_type="text"> Hagan, M. and Forbes, J.: Migrating and nonmigrating semidiurnal tides in the middle and upper atmosphere excited by troposheric latent heat release, J. Geophys. Res., 108(A2), 1062, \doi10.1029/2002JA009466, 2003. </reference>
		<reference numeration="8" content_type="text"> Higdon, D., Gattiker, J., Williams, B., and Rightley, M.: Computer model calibration using high-dimensional output, J. Am. Stat. Assoc., 103, 570–583, 2008. </reference>
		<reference numeration="9" content_type="text"> Kennedy, M C. and O&apos;Hagan, A.: Bayesian calibration of computer models, J. R. Stat. Soc. Ser. B Stat. Methodol., 63, 425–464, 2001. </reference>
		<reference numeration="10" content_type="text"> Kleijnen, J. and van Beers, W.: Application-driven sequential designs for simulation experiments: Kriging metamodelling, J. Oper. Res. Soc., 55, 876–883, \doi10.1057/palgrave.jors.2601747, 2004. </reference>
		<reference numeration="11" content_type="text"> Linkletter, C., Bingham, D., Hengartner, N., Higdon, D., and Ye, K Q.: Variable selection for Gaussian process models in computer experiments, Technometrics, 48, 478–490, 2006. </reference>
		<reference numeration="12" content_type="text"> Richmond, A., Ridley, E., and Roble, R.: A Thermosphere/Ionosphere general circulation model with coupled electrodynamics, Geophys. Res. Lett., 19, 601–604, 1992. </reference>
		<reference numeration="13" content_type="text"> Rougier, J.: Efficient Emulators for Multivariate Deterministic Functions, J. Comput. Graph. Stat., 17, 827–843, \doi10.1198/106186008X384032, 2008. </reference>
		<reference numeration="14" content_type="text"> Rougier, J., Guillas, S., Maute, A., and Richmond, A.: Expert Knowledge and Multivariate Emulation: The Thermosphere-Ionosphere Electrodynamics General Circulation Model (TIE-GCM), Technometrics, revised, 2009. </reference>
		<reference numeration="15" content_type="text"> Scherliess, L., Schunk, R W., Sojka, J J., Thompson, D C., and Zhu, L.: Utah State University Global Assimilation of Ionospheric Measurements Gauss-Markov Kalman Filter model of the ionosphere: Model description and validation, J. Geophys. Res., 111, A11315, \doi10.1029/2006JA011712, 2006. </reference>
		<reference numeration="16" content_type="text"> Welch, W J., Buck, R J., Sacks, J., Wynn, H P., Mitchell, T J., and Morris, M D.: Screening, predicting, and computer experiments, Technometrics, 34, 15–25, 1992. </reference>
		<reference numeration="17" content_type="text"> Williams, B J., Santner, T J., and Notz, W.: Sequential design of computer experiments to minimize integrated response functions, Statist. Sinica, 10, 1133–1152, 2000. </reference>
	</references>
</article>

