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	<journal>
		<journal_title>Climate of the Past</journal_title>
		<journal_url>www.clim-past.net</journal_url>
		<issn>1814-9324</issn>
		<eissn>1814-9332</eissn>
		<volume_number>6</volume_number>
		<issue_number>3</issue_number>
		<publication_year>2010</publication_year>
	</journal>
	<doi>10.5194/cp-6-367-2010</doi>
	<article_url>http://www.clim-past.net/6/367/2010/</article_url>
	<abstract_html>http://www.clim-past.net/6/367/2010/cp-6-367-2010.html</abstract_html>
	<fulltext_pdf>http://www.clim-past.net/6/367/2010/cp-6-367-2010.pdf</fulltext_pdf>
	<start_page>367</start_page>
	<end_page>377</end_page>
	<publication_date>2010-06-15</publication_date>
	<article_title content_type="html">Detecting instabilities in tree-ring proxy calibration</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>H. Visser</name>
			<email>hans.visser@pbl.nl</email>
		</author>
		<author numeration="2" affiliations="2">
			<name>U. Büntgen</name>
		</author>
		<author numeration="3" affiliations="3">
			<name>R. D&apos;Arrigo</name>
		</author>
		<author numeration="4" affiliations="1,4">
			<name>A. C. Petersen</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Netherlands Environmental Assessment Agency (PBL), The Netherlands</affiliation>
		<affiliation numeration="2" content_type="html">Swiss Federal Research Institute WSL, Birmensdorf, Switzerland</affiliation>
		<affiliation numeration="3" content_type="html">Tree-Ring Laboratory, Lamont Doherty Earth Observatory, Palisades, New York, USA</affiliation>
		<affiliation numeration="4" content_type="html">Centre for the Analysis of Time Series, London School of Economics and Political Science (LSE), London, UK</affiliation>
	</affiliations>
	<abstract content_type="html">Evidence has been found for reduced sensitivity of tree growth to
temperature in a number of forests at high northern latitudes and alpine
locations. Furthermore, at some of these sites, emergent subpopulations of
trees show negative growth trends with rising temperature. These findings
are typically referred to as the &quot;Divergence Problem&quot; (DP). Given the high
relevance of paleoclimatic reconstructions for policy-related studies, it is
important for dendrochronologists to address this issue of potential model
uncertainties associated with the DP. Here we address this issue by
proposing a calibration technique, termed &quot;stochastic response function&quot;
(SRF), which allows the presence or absence of any instabilities in growth
response of trees (or any other climate proxy) to their calibration target
to be visualized and detected. Since this framework estimates confidence
limits and subsequently provides statistical significance tests, the
approach is also very well suited for proxy screening prior to the
generation of a climate-reconstruction network.

&lt;br&gt;&lt;br&gt;

Two examples of tree growth/climate relationships are provided, one from the
North American Arctic treeline and the other from the upper treeline in the
European Alps. Instabilities were found to be present where stabilities were
reported in the literature, and vice versa, stabilities were found where
instabilities were reported. We advise to apply SRFs in future
proxy-screening schemes, next to the use of correlations and RE/CE
statistics. It will improve the strength of reconstruction hindcasts.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Ammann, C. M., Genton, M. G., and Li, B.: Technical Note: Correcting for signal attenuation from noisy proxy data in climate reconstructions, Clim. Past, 6, 273–279, doi:10.5194/cp-6-273-2010, 2010. </reference>
		<reference numeration="2" content_type="text"> Auer, I., Böhm, R., Jurkovic, A., et al.: HISTALP – historical instrumental climatological surface time series of the Greater Alpine Region, Int. J. Climatol., 27, 17–46, 2007. </reference>
		<reference numeration="3" content_type="text"> Biondi, F. and Waikul, K.: DENDROCLIM2002: a C++ program for statistical calibration of climate signals in tree-ring chronologies, Comput. Geosci., 30, 303–311, 2004. </reference>
		<reference numeration="4" content_type="text"> Blasing, T. J., Solomon, A. M., and Duvick, D. N.: Response functions revisited, Tree-ring Bulletin, 44, 1–15, 1984. </reference>
		<reference numeration="5" content_type="text"> Briffa, K. R., Osborn, T. J., Schweingruber, F. H., Harris, I. C., Jones, P. D., Shiyatov, S. G., and Vaganov, E. A.: Low-frequency temperature variations from a northern tree ring density network, J. Geophys. Res., 106, 2929–2941, 2001. </reference>
		<reference numeration="6" content_type="text"> Büntgen, U., Frank, D. C., Schmidhalter, M., Neuwirth, B., Seifert, M., and Esper, J.: Growth/climate response shift in a long subalpine spruce chronology, Trees Structure and Function, 20, 99–110, 2006. </reference>
		<reference numeration="7" content_type="text"> Büntgen, U., Frank, D., Wilson, R., Carrer, M., Urbinati, C., and Esper, J.: Testing for tree-ring divergence in the European Alps, Global Change Biology, 14, 2443–2453, 2008. </reference>
		<reference numeration="8" content_type="text"> Büntgen, U., Wilson, R., Wilmking, M., Niedzwiedz, T., and Bräuning, A.: The `Divergence Problem&apos; in tree-ring research, Trace, 7, 212–219, 2009. </reference>
		<reference numeration="9" content_type="text"> Bürger, G.: On the verification of climate reconstructions, Clim. Past, 3, 397–409, doi:10.5194/cp-3-397-2007, 2007. </reference>
		<reference numeration="10" content_type="text"> Carrer, M. and Urbinati, C.: Assessing climate-growth relationships: a comparative study between linear and non-linear methods, Dendrochronologia, 19, 2443–2453, 2001. </reference>
		<reference numeration="11" content_type="text"> Carrer, M., Nola, P., Eduard, J. L., Motta, R., and Urbinati, C.: Regional variability of climate-growth relationships in \textitPinus cembra high elevation forests in the Alps, J. Ecol., 95, 1072–1083, 2007. </reference>
		<reference numeration="12" content_type="text"> Cook, E. R. and Kairiukstis, L. A. (Eds.): Methods of dendroclimatology. Kluwer Academic Publishers, Dordrecht, 1990. </reference>
		<reference numeration="13" content_type="text"> Cook, E. R., Briffa, K. R., and Jones, P. D.: Spatial regression methods in dendroclimatology: a review and comparison of two techniques, Int. J. Climatol., 14, 379–402, 1994. </reference>
		<reference numeration="14" content_type="text"> Cook, E. R. and D&apos;Arrigo, R. D.: A well-verified, multiproxy reconstruction of the winter north atlantic oscillation index since A.D. 1400, J. Climate, 15, 1754–1764, 2002. </reference>
		<reference numeration="15" content_type="text"> Cook, E. R., Esper, J., and D&apos;Arrigo, R.: Extra-tropical Northern Hemisphere land temperature variability over the past 1000 years, Quat. Sci. Rev., 23, 2063–2074, 2004. </reference>
		<reference numeration="16" content_type="text"> D&apos;Arrigo, R. D., Kaufmann, R. K., Davi, N., Jacoby, G. C., Laskowski, C., Myneni, R. B., and Cherubini, P.: Thresholds for warming-induced growth decline at elevational tree line in the Yukon Territory, Canada, Global Biogeochem. Cycles, 18, GB3021, doi:10.1029/2004GB002249, 2004. </reference>
		<reference numeration="17" content_type="text"> D&apos;Arrigo, R. D., Wilson, R., Liepert, B., and Cherubini, P.: On the `divergence problem&apos; in Northern forests. A review of the tree-ring evidence and possible causes, Global Planet. Change, 60(3–4), 289–305, 2008. </reference>
		<reference numeration="18" content_type="text"> D&apos;Arrigo, R. D., Jacoby, G., Buckley, B., Sakulich, J., Frank, D., Wilson, R., Curtis, A., and Anchukaitis, K.: Tree growth and inferred temperature variability at the North American Arctic treeline, Global Planet. Change, 65, 71–82, 2009. </reference>
		<reference numeration="19" content_type="text"> De Jong, P. and Mackinnon, M. J.: Covariances for smoothed estimates in state space models, Biometrika, 75(3), 601–602, 1988. </reference>
		<reference numeration="20" content_type="text"> Dobrovoln\&apos;y, P., Moberg, A., Brázdil, R., Pfister, C., Glaser, R., Wilson, R., van Engelen, A., Limanówka, D., Kiss, A., Haličková, M., Macková, J., Riemann, D., Luterbacher, J., and Böhm, R.: Monthly, seasonal and annual temperature reconstructions for Central Europe derived from documentary evidence and instrumental records since AD 1500, Climatic Change, online version, 2010. </reference>
		<reference numeration="21" content_type="text"> Durbin, J. and Koopman, S. J.: Time series analysis by state space methods, Oxford Statistical Science Series, 24, 253 pp, 2001. </reference>
		<reference numeration="22" content_type="text"> Esper, J., Cook, E. R., and Schweingruber, F. H.: Low-frequency signals in long tree-ring chronologies for reconstructing past temperature variability, Science, 295(5563), 2250–2253, 2002. </reference>
		<reference numeration="23" content_type="text"> Esper, J. and Frank, D.: Divergence pitfalls in tree-ring research, Climatic Change, 94, 261–266, 2009. </reference>
		<reference numeration="24" content_type="text"> Esper, J., Frank, D., Büntgen, U., Verstege, A., Hantemirov, R. M., and Kirdyanov, V.: Trends and uncertainties in Siberian indicators of 20th century warming, Global Change Biol., 16, 386–398, 2010. </reference>
		<reference numeration="25" content_type="text"> Fritts, H. C.: Tree rings and climate, Academic Press, London, 567 pp, 1976. </reference>
		<reference numeration="26" content_type="text"> Harvey, A. C.: Forecasting, structural time series models and the Kalman filter, Cambridge University Press, 554 pp, 1989. </reference>
		<reference numeration="27" content_type="text"> Hegerl, C. G., Crowley, T. J., Allen, M., Hyde, W. T., Pollack, H. N., Smerdon, J., and Zorita, E.: Detection of human influence on a new, validated 1500-year temperature reconstruction, J. Climate, 20, 650–666, 2007. </reference>
		<reference numeration="28" content_type="text"> Hughes, M. K.: Dendrochronology in climatology – the state of the art, Dendrochronologia, 20(1–2), 95–116, 2002. </reference>
		<reference numeration="29" content_type="text"> Jansen, E., Overpeck, J., Briffa, K. R., Duplessy, J.-C., Joos, F., Masson-Delmotte, V., Olago, D., Otto-Bliesner, B., Peltier, W. R., Rahmstorf, S., Ramesh, R., Raynaud, D., Rind, D., Solomina, O., Villalba, R., and Zhang, D.: Palaeoclimate, in: Climate Change 2007, edited by: Solomon, S., Qin, D., Manning, M., et al., The Physical Science Basis, Cambridge University Press, UK, 2007. </reference>
		<reference numeration="30" content_type="text"> Jones, P. D., Briffa, K. R., Osborn, T. J., et al.: High-resolution palaeoclimatology of the last millennium; a review of current status and future prospects, The Holocene, 19, 3–49, 2009. </reference>
		<reference numeration="31" content_type="text"> Loehle, C.: A mathematical analysis of the divergence problem in dendroclimatology, Climatic Change, 94, 233–245, 2009. </reference>
		<reference numeration="32" content_type="text"> Mann, M. E., Zhang, Z., Hughes, M. K., Bradley, R. S., Miller, S. K., Rutherford, S., and Ni, F.: Proxy-based reconstructions of hemispheric and global surface temperature variations over the past two millennia, PNAS, 105(36), 13252–13257, 2008. </reference>
		<reference numeration="33" content_type="text"> National Research Council: Surface temperature reconstructions for the last 2,000 years, The National Academies Press, Washington D.C., 145 pp, 2006. </reference>
		<reference numeration="34" content_type="text"> Oberhuber, W., Kofler, W., Pfeifer, K., Seeber, A., Gruber, A., and Wieser, G.: Long-term changes in tree-ring-climate relationships at Mt. Patscherkofel (Tyrol, Austria) since the mid-1980s, Trees, 22, 31–40, 2008. </reference>
		<reference numeration="35" content_type="text"> Oppo, D. W., Rosenthal, Y., and Linsley, B. K.: 2,000-year-long temperature and hydrology reconstructions from the Indo-Pacific warm pool, Nature, 460, 1113–1116, 2009. </reference>
		<reference numeration="36" content_type="text"> Pisaric, M. F. J., Carey, S. K., Kokelj, S. J., and Youngblut, D.: Anomalous 20$^th$ century tree growth, Mackenzie Delta, Northwest Territories, Canada, Geophys. Res. Lett., 34, L05714, doi:10.1029/2006GL029139, 2007. </reference>
		<reference numeration="37" content_type="text"> Rozas, V.: Dendrochronology of pedunculate oak (\textitQuercus robur L.) in an old-growth pollarded woodland in northern Spain: tree-ring growth responses to climate, Ann. For. Sci., 62, 209–218, 2005. </reference>
		<reference numeration="38" content_type="text"> Schiermeier, Q.: The real holes in climate science, Nature, 463, 284–287, 2010. </reference>
		<reference numeration="39" content_type="text"> Van den Brakel, J. and Visser, H.: The influence of environmental conditions on tree-ring series of Norway spruce for different canopy and vitality classes, Forest Sci., 42(2), 206–219, 1996. </reference>
		<reference numeration="40" content_type="text"> Van Deusen, P.: Evaluating time-dependent tree ring and climate relationships, J. Environ. Qual., 19, 481–488, 1990. </reference>
		<reference numeration="41" content_type="text"> Visser, H.: Analysis of tree ring data using the Kalman filter technique, IAWA Bulletin n.s., 7(4), 289–297, 1986. </reference>
		<reference numeration="42" content_type="text"> Visser, H.: Estimation and detection of flexible trends, Atmos. Environ., 38, 4135–4145, 2004. </reference>
		<reference numeration="43" content_type="text"> Visser, H. and Molenaar, J.: Kalman filter analysis in dendroclimatology, Biometrics, 44, 929–940, 1988. </reference>
		<reference numeration="44" content_type="text"> Visser, H. and Molenaar, J.: Estimating trends and stochastic response function in dendroecology with an application to fir decline, Forest Sci., 38(2), 221–234, 1992. </reference>
		<reference numeration="45" content_type="text"> Visser, H. and Molenaar, J.: Trend estimation and regression analysis in climatological time series: an application of structural time series models and the Kalman filter, J. Climate, 8(5), 969–979, 1995. </reference>
		<reference numeration="46" content_type="text"> Visser, H. and Petersen, A. C.: The likelihood of holding outdoor skating marathons in the Netherlands as a policy-relevant indicator of climate change, Clim. Change, 93, 39–54, 2009. </reference>
		<reference numeration="47" content_type="text"> Wilmking, M., Juday, G. P., Barber, V. A., and Zald, H. S. J.: Recent climate warming forces contrasting growth responses of white spruce at treeline in Alaska through temperature thresholds, Global Change Biology, 10, 1724–1736, 2004. </reference>
		<reference numeration="48" content_type="text"> Wilmking, M., D&apos;Arrigo, R. D., Jacoby, G., and Juday, G.: Divergent growth responses in circumpolar boreal forests, Geophys. Res. Lett., 32, L15715, doi:10.1029/2005GL023331, 2005. </reference>
		<reference numeration="49" content_type="text"> Wilmking, M. and Myers-Smith, I.: Changing climate sensitivity of black spruce (\textitPicea Mariana Mill.) in a peatland-forest landscape in Interior Alaska, Dendrochronologia, 25, 167–175, 2008. </reference>
		<reference numeration="50" content_type="text"> Wilmking, M. and Singh, J.: Eliminating the &quot;divergence problem&quot; at Alaska&apos;s northern treeline, Clim. Past Discuss., 4, 741–759, doi:10.5194/cpd-4-741-2008, 2008. </reference>
		<reference numeration="51" content_type="text"> Wilson, R. and Elling, W.: Temporal instability in tree-growth/climate response in the lower Bavarian forest region: implications for dendroclimatic reconstruction, Trees, 18, 19–28, 2004. </reference>
		<reference numeration="52" content_type="text"> Wilson, R., D&apos;Arrigo, R. D., Buckley, B., Büntgen, U., Esper, J., Frank, D., Luckman, B., Payette, S., Vose, R., and Youngblut, D.: A matter of divergence: tracking recent warming at hemispheric scales using tree ring data, J. Geophys. Res., 112, D17103, doi:10.1029/2006Jd008318, 2007. </reference>
		<reference numeration="53" content_type="text"> Wilson, R., Cook, E. R., D&apos;Arrigo, R. D., Riedwyl, N., Evans, M. N., Tudhope, A., and Allan, R.: Reconstructing ENSO: the influence of method, proxy data, climate forcing and teleconnections, J. Quat. Sci., 25(1), 62–78, 2010. </reference>
		<reference numeration="54" content_type="text"> Woodhouse, C. A.: Artificial neural networks and dendroclimatic reconstructions: an example from the Front Range, Colorado, USA, Holocene, 9, 521–529, 1999. </reference>
		<reference numeration="55" content_type="text"> Zhang, Y., Wilmking, M., and Gou, X.: Changing relationships between tree growth and climate in Northwest China, Plant Ecol., 201(1), 39–50, 2009. </reference>
	</references>
</article>

