Torneträsk tree-ring width and density ad 500–2004: a test of climatic sensitivity and a new 1500-year reconstruction of north Fennoscandian summers
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This paper presents updated tree-ring width (TRW) and maximum density (MXD) from Torneträsk in northern Sweden, now covering the period ad 500–2004. By including data from relatively young trees for the most recent period, a previously noted decline in recent MXD is eliminated. Non-climatological growth trends in the data are removed using Regional Curve Standardization (RCS), thus producing TRW and MXD chronologies with preserved low-frequency variability. The chronologies are calibrated using local and regional instrumental climate records. A bootstrapped response function analysis using regional climate data shows that tree growth is forced by April–August temperatures and that the regression weights for MXD are much stronger than for TRW. The robustness of the reconstruction equation is verified by independent temperature data and shows that 63–64% of the instrumental inter-annual variation is captured by the tree-ring data. This is a significant improvement compared to previously published reconstructions based on tree-ring data from Torneträsk. A divergence phenomenon around ad 1800, expressed as an increase in TRW that is not paralleled by temperature and MXD, is most likely an effect of major changes in the density of the pine population at this northern tree-line site. The bias introduced by this TRW phenomenon is assessed by producing a summer temperature reconstruction based on MXD exclusively. The new data show generally higher temperature estimates than previous reconstructions based on Torneträsk tree-ring data. The late-twentieth century, however, is not exceptionally warm in the new record: On decadal-to-centennial timescales, periods around ad 750, 1000, 1400, and 1750 were equally warm, or warmer. The 200-year long warm period centered on ad 1000 was significantly warmer than the late-twentieth century (p < 0.05) and is supported by other local and regional paleoclimate data. The new tree-ring evidence from Torneträsk suggests that this “Medieval Warm Period” in northern Fennoscandia was much warmer than previously recognized.
The extensive compilation of Scots pine (Pinus sylvestris L.) tree-ring data in the Torneträsk area of northern Sweden has resulted in one of the longest continuous tree-ring width (TRW) chronologies in the world, covering the period 5407 bc to ad 1997 (Bartholin 1987; Briffa et al. 1990; Grudd et al. 2002). This 7,400-year precisely dated record was amalgamated from 880 individual tree samples, collected from living trees and remnant (subfossil) wood preserved on dry ground and in small lakes. From this material, Schweingruber et al. (1988) used a selection of 65 samples to produce a record of maximum density (MXD), covering the period ad 441–1980. This 1,540-year density record is, to date, the longest in the world.
Tree growth in the north of Fennoscandia has a strong correlation to summer temperature: TRW is predominantly correlated with a short peak period of summer warmth (Lindholm and Eronen 1995; Kirshhefer 2001; Grudd et al. 2002) while MXD is related to a longer summer period and the correlation is usually much higher (Briffa et al. 1990; McCarroll et al. 2003). Thus, MXD is the more powerful proxy for summer temperature and, as a result, multi proxy temperature reconstructions based on these two tree-ring variables will be greatly dominated by MXD (Briffa et al. 2002a).
Torneträsk tree growth is representative of a wide area in northern Fennoscandia (Briffa et al. 1992; Gouirand et al. 2007) and the tree-ring data have been used in a number of high resolution large-scale climate reconstructions (Jones et al. 1998; D’Arrigo et al. 1999; Mann et al. 1999; Briffa 2000; Briffa et al. 2002b; Esper et al. 2002; Mann and Jones 2003; Luterbacher et al. 2004; Moberg et al. 2005) with the objective to place the documented late-twentieth century temperature increase (IPCC 2007) in a longer time-scale perspective. The amplitude of this recent temperature change is, however, debated in context of the last millennium (Jones et al. 2001; Mann et al. 2002; Cook et al. 2004; Luterbacher et al. 2004; Esper et al. 2005; Moberg et al. 2005; D’Arrigo et al. 2006) and it is also recognized that existing millennia-long climate reconstructions rely on proxy data that may underestimate climatic variability (Briffa and Osborn 2002; Osborn and Briffa 2004; von Storch et al. 2004). A majority of the proxy reconstructions carry a strong weight from tree-ring data. However, they are also seriously hampered by the lack of data in the most recent period (Briffa et al. 2004; Esper et al. 2005; D’Arrigo et al. 2006). The problem can be illustrated by the Torneträsk MXD data which terminate in ad 1980, i.e. prior to the “extreme” temperature increase in the most recent decades. Thus, there is an urgent need to update existing tree-ring collections throughout the northern hemisphere and to further develop networks of high-resolution proxy data that can capture the magnitude and rate of temperature change over the last millennium.
Our ability to place the recent temperature increase in a longer paleoclimate perspective is also hampered by an apparent change in the sensitivity of recent tree-growth to temperature at high northern latitudes where trends in TRW and MXD have been reported to increasingly diverge from the instrumental records during the second half of the twentieth century (Jacoby and D’Arrigo 1995; Briffa et al. 1998a, b; D’Arrigo et al. 2007). The diverging trends are not consistent throughout the widely-distributed circumpolar sites (Briffa et al. 2004; Driscoll et al. 2005; Wilmking et al. 2005; D’Arrigo et al. 2006) and the mechanisms behind this phenomenon are poorly understood.
This paper presents new tree-ring data from Torneträsk which update the existing records to ad 2004. The sensitivity of recent tree growth to temperature is examined and a new summer temperature reconstruction is presented for the last 1,500 years in northern Fennoscandia.
2 Materials, methods and results
2.1 The tree-ring data
Raw tree-ring data statistics
Number of samples
Median segment length
Mean series inter-correlation
MXD data from Torneträsk were first published by Schweingruber et al. (1988). This original data set of 65 individual tree-series covered the time period ad 441–1980 and is hereafter denoted SEAL80 [WSL (Dendro Database, WSL, Switzerland. http://www.wsl.ch/dendro/dendrodb.html). Here, the MXD data is updated to ad 2004 using new samples from 35 relatively young trees. Thus, the new Torneträsk MXD data-base includes samples from a total of 100 trees and covers the period ad 441–2004. Dry dead wood covers the period ad 441–1789 and living trees cover the period ad 1336–2004. No subfossil lake material is included in the MXD data. In SEAL80, data for the most recent period originated entirely from old-aged trees and, as a result, tree rings from the twentieth century had a much higher average cambial age than the earlier part of the record. The new data have significantly reduced the average cambial age of the tree-ring data in the twentieth century (Fig. 1a).
The TRW data are part of a much larger data set than the one used for MXD (Grudd et al. 2002). The TRW data are updated to ad 2004 using the same 35 trees as for MXD and a total of 620 trees is now used to cover the period ad 500–2004 (Fig. 1b). The sources of these data are living trees, dead dry wood and subfossil logs that were recovered from small lakes.
2.2 X-ray densitometry
The new data were produced using an Itrax WoodScanner from Cox Analytical Systems (http://www.coxsys.se), while the original SEAL80 data were produced using the DENDRO2003 X-ray instrumentation from Walesch Electronic (http://www.walesch.ch). Both systems produce high-resolution radiographic (X-ray) images from thin laths that are cut from the samples. Before X-raying, the laths are treated with alcohol in a Soxhlet apparatus to extract resins and other movable compounds in the wood that are not related to the annual production of wood tissue (Schweingruber et al. 1978).
In the DENDRO2003 system, laths are placed on an X-ray film and exposed to X-rays (similar to the X-ray technique traditionally used in hospitals). Subsequently, light intensity (grey levels) in the film is analysed using a manually operated photo-sensor. The dimensions of the photo-sensor slit varies with the choice of magnifying lens, resulting in varying dimensions from 0.004 × 1 to 0.05 × 5 mm. Grey-level light intensity is calibrated to wood density using a standard calibration wedge which is X-rayed at the same time as the sample laths.
In the Itrax WoodScanner system, the sample laths are scanned in increment steps using a focused high-energy X-ray beam and an X-ray line camera that detects the amount of radiation that passes through the sample. The output from this system is a digital image with 65,536 grey levels (16 bit) with a maximum resolution of 0.01 mm (2,540 dpi). Resolution is user defined by the choice of increment step-length during the scanning procedure. The digital image is subsequently analysed using the commercial software WinDendro (http://www.regentinstruments.com) where density, as represented by the grey levels, is determined by means of a “virtual” slit scanning process (Guay et al. 1992). The width of the virtual slit is always 1 pixel and length is user defined. Grey-level light intensity is calibrated to wood density using the same type of standard calibration wedge as used in the DENDRO2003 system.
Hence, MXD in the new data was measured using a method which is comparable to the method used for the SEAL80 data. The sensor-slit dimensions, however, differ slightly which means that there could, potentially, be a difference in the definition of MXD between the two data sets. The new data were analysed using a sensor width of 0.01 mm and a sensor length of 1.0–2.0 mm. The SEAL80 data were analysed using a sensor width of 0.03 mm and a sensor length of 0.08–1.0 mm (Schweingruber 1988; and personal communication, Daniel Nievergelt at the WSL Laboratory). The difference in sensor width (the direction of tree-ring growth) will have a greater effect than the difference in length because the variation in intra-ring density is largest in this direction. For small rings, therefore, a smaller sensor width should provide more accurate MXD values.
The higher variability introduced by the new data for the most recent period of the record will have significant implications for the climate reconstruction and will lead to an under-estimation of the climatic variability in the earlier part of the record. The variance in each individual measurement series of the new data was therefore reduced by 29% in accordance with the calibration results (Fig. 2).
Tree-ring chronologies are constructed by averaging replicate data for each individual calendar year. However, when used for paleoclimate reconstruction, the non-climatic information (At and Et in Eq. 1) first need to be removed from the individual raw data series (Gt). This central concept in dendroclimatology is referred to as standardization (Fritts 1976; Cook et al. 1990) and the aim is to preserve as much of the climate-related information as possible while removing the un-wanted, non-climatic information. Inevitably, however, a varying proportion of the low-frequency climatic information is also lost in this process. The choice of standardization method depends on the character of the tree-ring data but, in general, more complex statistical methods are needed when the non-climatic environmental factors have a strong impact on tree growth (Cook et al. 1990). In this study, tree growth is assumed to be forced by two dominant factors: The summer climate and the age/size of individual trees. This assumption is based on the strong connection to temperature for Torneträsk TRW and MXD data (Briffa et al. 1990; Grudd et al. 2002). Non-climatic environmental factors will certainly have been important for individual trees at different times, but these factors are regarded as haphazard events with random distribution over space and time and, hence, they can be regarded as part of the random error variable (εt) in the conceptual linear aggregate equation (Eq. 1). An index (It) of the climate signal can then be extracted by simply subtracting the age/size-related trend (At) from the observed growth (Gt).
The age/size-related trend (At) is commonly modelled with a deterministic approach, i.e. by fitting a negative exponential function or linear trend to the data, or by using more flexible functions such as a smoothing spline (Fritts 1976; Cook and Kairiukstis 1990). These deterministic methods effectively preserve the high-frequency variation in the data while removing much of the slowly evolving changes such as biological growth trends. However, they also remove a major part of the long-term climatic trends. In this analysis, therefore, the data is standardized using an empirical method denoted Regional Curve Standardization (RCS) which has demonstrated a particular ability to preserve long-timescale climate variability in long tree-ring chronologies while removing most of the age related variance (Esper et al. 2003; D’Arrigo et al. 2006). The basic concept of the RCS method was used already by Stellan Erlandsson in his pioneer studies at Torneträsk (Erlandsson 1936) and the method was later employed and developed by Keith Briffa et al. (1992) using a much larger set of tree-ring data from Torneträsk.
The RCS method has higher requirements on the data than other standardization methods: The method presumes that all trees in a population have a common age/size-related growth trend that can be empirically determined by aligning tree-ring samples according to their cambial age and calculating the average of rings 1; rings 2; etc. Hence, the cambial age of all tree rings must be known, i.e. samples should ideally include the pith (the centre of the tree). When the pith is absent, which often is the case in drilled core samples and subfossil wood, the pith offset (PO) has to be estimated. Here, PO was determined by first interpolating the distance to the geometric centre of the tree using the curvature of the innermost rings and then estimating the number of rings that would fill the missing segment. In the Torneträsk MXD data, the pith was present in 25 of the samples and PO was estimated in the remaining 75 samples. The 620 TRW samples were not adjusted for PO: Here, the first ring in the series is simply assumed to represent the ring of the first cambial year.
The significance of the century-timescale variation observed in the chronologies is assessed by, first, smoothing all individual index series with a 100-year spline filter, thus generating a new set of low-frequency series which are, then, averaged into a low-frequency chronology (Sheppard 1991). Using this approach, it is possible to calculate bootstrapped 95% confidence intervals for the century timescale variation and hence visualize sections of the chronologies where poor sample replication and/or low signal-to-noise ratio results in a weakening of the low-frequency signal. Figure 5 shows that there is a higher confidence in the low-frequency signal in the TRW chronology. It is also evident that the low-frequency signals are very similar in the two chronologies up to about ad 1800 where there is a clear diversion between the trends.
2.4 Tree-growth response to climate
Local (Abisko) summer temperatures have a positive effect on both MXD and TRW, but the significant response time-window is much broader for MXD. For TRW, forcing is dominated by July temperatures of the current year of growth while MXD has a significant positive response to June, July and August temperatures of the current growing season. When analysed with the regional (Bottenviken) record, the response window for MXD is even broader including spring temperatures (April and May).
Calibration and verification results
TRW + MXD
Explained variance R2
TRWt + 1
Explained variance R2
Reduction of error RE
Coeff. of efficiency CE
2.5 ad 500–2004 climate reconstruction
The new tree-ring data presented in this paper update the Torneträsk chronologies to ad 2004, thus extending the MXD record with 24 years and the TRW record with 7 years as compared to previously existing data (Schweingruber et al. 1988; Grudd et al. 2002). This update significantly extends the calibration time-period and improves the analysis of growth response to climate. Using overlapping instrumental climate data and response function analysis, it is established that Torneträsk MXD and TRW have a positive correlation to local summer temperature and that there is no significant correlation to precipitation. TRW is predominantly correlated to July mean temperature while MXD has a wider response window, including also June and August. This is in line with previous results from northern Fennoscandia which show a similar growth response to local climate (Sirén 1961; Jonsson 1969; Aniol and Eckstein 1984; Briffa et al. 1990; Lindholm and Eronen 1995; Kirshhefer 2001; Grudd et al. 2002; McCarroll et al. 2003). However, when the new Torneträsk data is analysed using a regional temperature record representing a large area in northern Sweden, there is a significant growth response to an extended five-month summer season, including also April and May (Fig. 7), thus confirming the results from Briffa et al. (1990) who found a significant correlation with April–August temperatures using gridded (5° × 5°) temperature data for northern Fennoscandia. Hence, when the Torneträsk tree-ring data is used to reconstruct regional summer temperatures, it is justified to use the April–August season.
Diverging trends between tree-ring chronologies and temperature in the late twentieth century have been observed across the high latitudes of the Northern Hemisphere (see D’Arrigo et al. 2007 and references therein). This apparent widespread loss in the sensitivity to temperature is, however, not fully understood and several different explanations have been proposed, e.g. relating the phenomenon to changes in the atmospheric composition (Briffa et al. 1998b, 2004); to drought stress (Barber et al. 2000); physiological threshold effects (D’Arrigo et al. 2004; Wilmking et al. 2004); and to changes in the length of the growing season (Vaganov et al. 1999). However, such “end effects” or biased trends in a tree-ring chronology could, potentially, also be related to the methodology used for standardization and chronology development (Cook and Peters 1997; Melvin 2004). The update of the Torneträsk data, including relatively young trees in the most recent period, has significantly reduced the mean cambial age of MXD data in the twentieth century (Fig. 1a). As a result, the loss of sensitivity to temperature, apparent in earlier versions of the Torneträsk MXD chronology (Briffa 2000), is now eliminated. Hence, this study shows that data with a disproportionately high cambial age in the most recent period can create a similar “divergence phenomenon” in the late twentieth century. This calls for further investigations of the age structure in other MXD data series that show a similar phenomenon. It should, however, also be noted that the increasing trend in cambial age, still present in the Torneträsk MXD data from ad 500 to 1000 (Fig. 1a), is likely to produce a minor bias in the earliest part of the record (Melvin 2004).
Diverging trends between Torneträsk MXD and TRW are apparent around ad 1800 (Fig. 9). This was registered also by Briffa et al. (1992) who interpreted the phenomenon as a loss in the sensitivity of MXD to temperature and, therefore, made an adjustment to the trend in MXD for the period ad 1750–1980. However, when the tree-ring data is compared to the 200-year long temperature record from Tornedalen it clearly shows, on the contrary, that the diverging trends are caused by the TRW data (Fig. 10). The correlations between MXD and temperature are consistent between the four 50-year periods, while TRW shows a poor correlation in the first period and then higher and fairly consistent correlations in the following three periods. Hence, there is an apparent loss in the sensitivity of TRW to temperature in the first half of the nineteenth century. The phenomenon coincides with an important regeneration period in the Torneträsk area, expressed as a doubling of the sample replication at this time (Fig. 1b). It seems likely, therefore, that the diverging trend in TRW is related to changes in stand dynamics at this time. Helama et al. (2004a, 2005) have shown that such a major increase in population density could affect the empirically determined growth curves used in normal RCS standardization. The effect will be larger for the more concave RCS curves used for TRW (Fig. 4), which would explain why the MXD chronology is unaffected. Hence, pending further investigations, the diverting trend in TRW around ad 1800 is regarded as a bias introduced by the data and the standardization methods used.
The calibration/verification results (Table 2) indicate that a reconstruction based exclusively on MXD will give the most accurate temperature estimates. The calibration/verification results are, however, dominated by the inter-annual variability, and given the higher significance for low-frequency variation in the TRW chronology and the importance of getting the longer timescales right, a complementary “multi-proxy” reconstruction was produced based on a combination of TRW and MXD (Fig. 11). The low-frequency signal is virtually identical in the two reconstructions, with the multi-proxy reconstruction showing slightly deflated temperature estimates in the pre-1800 period due to the bias introduced by the diverging TRW trend. On average, the difference is only about −0.2°C which, again, reflects the strong dominance of MXD over TRW in reconstructions based on these two tree-ring parameters. For the further comparison with other paleoclimate data, therefore, the MXD reconstruction is used; although the reader should take note that the relatively low sample replication in the MXD data generally gives a wider error band (Fig. 5).
Previously published summer temperature reconstructions based on Torneträsk tree-ring data (Briffa et al. 1992; Grudd et al. 2002) have recovered, at best, 55% of the inter-annual variance in the instrumental temperature data; the new MXD reconstruction captures 63% (Table 2). The new reconstruction shows much warmer temperature estimates as compared to Grudd et al. (2002) and generally warmer and more low-frequency variability as compared to Briffa et al. (1992) (Fig. 12). The reconstruction from Grudd et al. (2002) was based on RCS standardized TRW and, hence, the large difference prior to ad 1800 can be explained by the “divergence problem” in TRW. Briffa et al. (1992) used RCS standardized MXD and TRW in a multi-proxy approach. However, their application of a “trend adjustment” to the MXD data introduced a bias towards lower temperature estimates prior to 1750.
A major difference between the new record and the earlier summer temperature reconstructions is the timing of the coldest and the warmest century timescale periods in the last 1,500 years: The earlier reconstructions have minimum temperatures around ad 1600 while the coldest period in new reconstruction is centred on ad 1900. This “late” cold period coincides with historical and proxy evidence of maximum Holocene glacier expansion in northern Sweden (Svenonius 1910; Enquist 1918; Karlén 1988) and marks the culmination of the “Little Ice Age” (Grove 1988). A late “Little Ice Age” period is seen also in pollen and diatom proxy records from northern Fennoscandia (Korhola et al. 2000; Weckström et al. 2006) although it is less precisely dated. The differences between the new reconstruction and Briffa et al. (1992) are especially significant in the 200-year warm period centred on ad 1000 which coincides with the so called “Medieval Warm Period” (Lamb 1966). A warm period around ad 1000 is in line with evidence from other proxy indicators from northern Fennoscandia: Pine tree-limit (Shemesh et al. 2001; Helama et al. 2004b; Kulti et al. 2006), pollen and diatoms (Korhola et al. 2000; Seppä and Birks 2002; Bigler et al. 2006) show indisputable evidence of a “Medieval Warm Period” that was warmer than the twentieth century climate. Furthermore, the records of Late Holocene glacier variability in Scandinavia show that glaciers were reduced in size c. ad 900–1000 and that a warm climate prompted the development of soils on the glacier forfields (Karlén and Denton 1975; Worsley and Alexander 1976; Griffey and Matthews 1978; Matthews 1980; Karlén 1982; Hormes et al. 2004). The new evidence presented by Torneträsk tree-rings, indicates that the “Medieval Warm Period” in northern Fennoscandia may have been considerably warmer than previously recognized.
Long TRW records from an adjacent area in northern Finland (Helama et al. 2002) as well as more distant areas in Siberia (Hantemirov and Shiyatov 2002; Naurzbaev et al. 2002) indicate warm conditions around ad 1000 and around ad 1400, concurrent with the warm periods in the Torneträsk record. A long TRW chronology from northern Norway (Kirchhefer 2005) shows an early “Medieval Warm Period” around ad 900 and warm conditions around ad 1400. In contrast to the new Torneträsk MXD reconstruction, however, these TRW records indicate that twentieth century temperatures were unprecedented in the last 1,500 years. All tree-ring records, including the Torneträsk record, show an abrupt climatic deterioration in the twelfth century which supports other evidence of an early initiation of the “Little Ice Age” in the North Atlantic region (Grove 2001).
The new Torneträsk summer temperature reconstruction shows a trend of −0.3°C over the last 1,500 years. A similar negative trend is seen in most other Holocene paleoclimate records from northern Sweden, e.g. changes in tree-limit (Karlén 1976; Kullman 1995); pollen (Barnekow 1999); chironomids (Larocque and Bigler 2004); oxygen-isotopes in lacustrine biogenic silica (Shemesh et al. 2001) and in lacustrine carbonates (Hammarlund et al. 2002). A negative trend is also seen in oxygen isotope records in Greenland ice cores (NGRIP-members 2004), which implies that the proxy records from northern Sweden display a general feature of Holocene climate in the North Atlantic region, possibly linked to orbital forcing of summer insolation.
Although the paleoclimatic records show a high degree of similarity in North Fennoscandian and, possibly, North Atlantic trends over the last millennia, it is important to also note that there are large regional differences in the timing and the magnitude of climatic periods such as the “Medieval Warm Period” (Hughes and Diaz 1994; Crowley and Lowery 2000) and the “Little Ice Age” (Bradley 1992; Jones and Briffa 2001). Hence, although the climate of northern Fennoscandia seems to have been significantly warmer during medieval times as compared to the late-twentieth century, the published composite records of northern hemisphere climate (Moberg et al. 2005) do not show a conspicuously warm period around ad 1000.
It is shown here, that temperature estimates based on Torneträsk TRW are biased around ad 1800. This bias is most probably linked to changes in stand dynamics at this time and to the methods used for standardization. Other TRW records from northern tree-line areas may well share the same phenomenon, which calls for further investigations on the link between stand dynamics and climate growth-response. It is also demonstrated here, that MXD have a much more sensitive and robust coupling to summer temperature. It is, therefore, important that efforts are made to complement the Torneträsk MXD data with updated and extended MXD records from other climate sensitive areas in the North if we are to capture the full amplitude of past temperature variability and increase our confidence in reconstructions of Northern Hemisphere climate change over the last millennium.
The Torneträsk records of MXD and TRW are updated to ad 2004. By including MXD data from relatively young trees in the most recent period, a previously noted apparent loss of sensitivity to temperature is eliminated. These new data enable a much improved reconstruction of summer temperature for the last 1,500 years in northern Fennoscandia.
Previous climate reconstructions based on tree-ring data from Torneträsk were biased by a divergence phenomenon in TRW around ad 1800 and therefore show erroneously low temperature estimates in the earlier part of the records. Torneträsk MXD does not show this “divergence problem” and hence produces robust estimates of summer temperature variation on annual to multi-century timescales.
The late-twentieth century is not exceptionally warm in the new Torneträsk record: On decadal-to-century timescales, periods around ad 750, 1000, 1400, and 1750 were all equally warm, or warmer. The warmest summers in this new reconstruction occur in a 200-year period centred on ad 1000. A “Medieval Warm Period” is supported by other paleoclimate evidence from northern Fennoscandia, although the new tree-ring evidence from Torneträsk suggests that this period was much warmer than previously recognised.
I acknowledge P. Kuhry, B. Luckman, A. Hofgaard, K. Nicoluss, M. Hansson, D. McCarroll, and three anonymous reviewers for substantial improvements to the manuscript. H. Samulesson and staff at the Abisko Research Station provided help in the field and in the laboratory, and A. Rindby of Cox Analytical Systems has provided invaluable technical support. I would also like to thank K. Briffa and T. Melvin for productive comments on the results. This research was financed by EU projects PINE (Contract No EVK2-CT-2002-00136) and Millennium (Contract No 017008 GOCE).
This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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