Earth and Planetary Science Letters 231 (2005) 87 – 96 www.elsevier.com/locate/epsl On the temperature correlation of y18O in modern precipitation Matthew J. Kohna,*, Jeffrey M. Welkerb b a Department of Geological Sciences, University of South Carolina, Columbia, SC 29208, United States Biology Department and Environment and Natural Resources Institute, University of Alaska, Anchorage, AK 99510, United States Received 8 March 2004; received in revised form 3 December 2004; accepted 10 December 2004 Available online 20 January 2005 Editor: E. Boyle Abstract Reevaluation of modern precipitation, temperature, and isotope data permits reconciliation of previous disparate values for the correlation between y18O of modern precipitation and surface temperature. Past analysis has used the mean surface temperature over the time interval of sample collection (e.g., mean weekly, monthly, or annual temperature) to calculate temperature coefficients, and different approaches at mid-latitudes yield different temperature coefficients (Dy18O/DT): spatial correlations among geographically distinct sites yield ~0.55x/K; seasonal variations at single sites yield 0.2–0.4x/K; and 12 month running averages yield 0.5–1x/K. However, there are systematic differences in temperature during precipitation events vs. time-averaged surface temperature means. Correction for this bias using hourly weather and monthly isotope data from U.S. sites yields a single value of ~0.55x/K for all three approaches. Revised temperature coefficients based on surface observations are also commensurate with coefficients obtained using cloud base temperatures and with theoretical distillation models (0.5– 0.7x/K). These coefficients provide a consistent basis for validation of general circulation models that incorporate stable isotopes of precipitation, and for comparison to independent estimators of the isotopic response to climate change. D 2004 Elsevier B.V. All rights reserved. Keywords: stable isotopes; precipitation; paleoclimate; GCM; 0-18/0-16; meteoric water 1. Introduction The stable isotopes of oxygen and hydrogen (y18O and yD) in modern precipitation have long been known to correlate with temperature, as a result of temperature-dependent distillation processes in the atmosphere [1,2]. The slope of precipitation y18O or yD vs. T * Corresponding author. Tel.: +1 803 777 5565; fax: +1 803 777 6610. E-mail address: [email protected] (M.J. Kohn). 0012-821X/$ - see front matter D 2004 Elsevier B.V. All rights reserved. doi:10.1016/j.epsl.2004.12.004 (i.e., the apparent temperature coefficient, Dy18O/DT or DyD/DT) is important because it has been and continues to be used to calculate some paleotemperature changes (e.g., [3,4]), and because it is a basis for validating the accuracy of general circulation models (GCMs) that incorporate stable isotopes of precipitation (e.g., [5–8]). Indeed, such applications are a major justification for the International Atomic Energy Agency-World Meteorological Organization’s maintenance of the Global Network of Isotopes in Precipitation (GNIP-http://www.isohis.org) for over 40 years. 88 M.J. Kohn, J.M. Welker / Earth and Planetary Science Letters 231 (2005) 87–96 Quite simply, if we cannot understand the isotopic systematics of modern precipitation, there is little hope of using precipitation-linked stable isotope proxies or models to investigate past environmental change. Unfortunately, all previous studies have used mean air temperature at the surface over the time interval of a precipitation sample (i.e., mean weekly, monthly, or annual temperature) as the basis for estimating modern temperature coefficients and for validating GCMs. Here, we show that such mean temperatures are systematically biased compared to both cloud temperatures and surface temperatures during precipitation events. Use of surface temperatures during precipitation events, rather than the mean temperature of the overall time interval, reconciles apparent disparities of modern correlations. This provides for more accurate comparison with models of isotopes in precipitation, and clearer delineation of paleoclimate vs. modern climate isotope–temperature correlations. 2. Temperature correlations Several different approaches, which produce differing results, have been used to evaluate temperature correlations of stable isotopes in precipitation: (1) bSpatial correlationQ matches mean annual temperature (MAT) with mean annual isotope composition at different sites that have different MATs and compositions [2]. (2) bTemporal correlationQ uses a specific site’s seasonal variation in mean monthly temperatures (MMTs) and isotope compositions [9–11]. (3) bTime-series correlationQ compares 12-month running averages of mean monthly temperature and composition over several decades’ observations [9,10]. These different approaches commonly yield statistically different temperature coefficients, which for midlatitudes are ~0.55x/K [12], ~0.2–0.4x/K [9–11], and 0.5–1x/K [9,10] respectively, i.e., differences of up to a factor of 5 in retrieved values. A fourth approach (bpaleoclimate correlationQ) matches paleoclimate records of isotope compositional change with independent estimators of temperature change (e.g., [13]). The paleoclimate-correlation commonly yields a weaker temperature coefficient than the spatial or time-series correlations—a point which has led some to propose that the modern temporal correlation, with its minimal slope, should be used for paleoclimate applications ([14,15]; see also discussion in [6]). In this regard, we believe it is important to conceptually separate paleoclimate vs. modern correlations. Certainly temperature has a firstorder impact on stable isotope compositions in precipitation, due to distillation effects. However, as has been extensively discussed in the modeling community (e.g., [5–8,16,17]), compositions also depend on numerous other factors, for example vapor sources and source temperatures, air mass trajectories and fallout histories, recycling of water from the landscape, etc. Consequently, there is not necessarily a causal dependence implied by the temperature coefficients obtained from correlation plots, nor is a temperature coefficient that is derived from modern observations necessarily applicable to any paleoclimate interpretations. Although we view our reinterpreted, modern temperature coefficients as critical for framing the discussion of temperature correlations in modern precipitation, they are largely independent of temperature coefficients derived from paleoclimate correlations, and consequently cannot be substituted for them. If modern correlations have any effect on paleoclimate interpretations, it is more likely through their potential influence on GCM validation schemes. 3. Methods For illustration, we mainly focused on monthly isotope data from mid- to high-latitude sites from the United States because (a) isotope data worldwide are commonly collected at monthly resolution (http:// www.isohis.org), (b) stable isotopes of precipitation at low-latitude sites show a very weak correlation with temperature [10], (c) hourly weather observations are readily available for many U.S. sites, and (d) at least two U.S. sites provided cloud temperatures on an event-by-event basis [18]. Use of weekly isotope data [19] yields similar conclusions as monthly data. We additionally restricted analysis to oxygen isotopes, but the extremely strong correlation between oxygen and hydrogen isotopes in precipitation [2,10,20] ensures applicability to yD. For convenience we use the term bprecipitation temperatureQ to refer to surface air temperature during a precipitation event, although direct measurement of the temperature of the precipitation itself (rain, snow, etc.) is not ordinarily made. M.J. Kohn, J.M. Welker / Earth and Planetary Science Letters 231 (2005) 87–96 Mean weekly, monthly, and annual temperatures (MWT, MMT, and MAT) were calculated from daily means over the appropriate time interval. Mean weekly, monthly and annual precipitation temperatures (MWPT, MMPT, and MAPT) were calculated for an interval by weighting temperatures by precipitation amount (as is done analogously when calculating mean weighted isotope compositions), e.g. for MMPT: RPi Ti RPi 4. Results 3 150 Waco, TX MAT=18.15 MAPT=15.82 50 MMP (cm) 100 75 MAT=7.67 MAPT=5.64 125 0 -3 150 Flagstaff, AZ -6 100 -3 75 50 -6 25 50 0 MMP (cm) 100 75 Oc t No v De c Jul Au g Se p b Ap r Ma y Jun Ma Jan Fe 125 6 3 150 Fairbanks, AK MMPT-MMT (˚C) MAT=9.83 MAPT=13.15 0 9 150 Chicago, IL r -9 0 9 MMPT-MMT (˚C) 25 Oc t No v De c Jul Au g Se p Jan Fe b Ma r Ap r Ma y Jun -9 MAT=1.23 MAPT=2.34 100 3 75 50 0 Oc t No v De c Jul Au g Se p Jan -3 b Ma r Ap r Ma y Jun 25 Fe Oc t No v De c Jul Au g Se p Jan Fe b Ma r Ap r Ma y Jun 0 125 6 25 -3 125 0 MMP (cm) 3 MMPTs are systematically warmer than MMTs in the winter, and cooler in the summer (Fig. 1; Table 1). MMP (cm) where Ti and P i are temperature and precipitation amount on an hourly basis as summed over one MMPT-MMT (˚C) month’s time. Because data are extremely scattered both in temperature and composition, reduced major axis regressions are most appropriate for estimating temperature coefficients. Linear regressions yield similar albeit somewhat smaller temperature coefficients, and do not alter our basic conclusions regarding the comparability of modern spatial-, temporal-, and time-series-correlations. MMPT-MMT (˚C) MMPT ¼ 89 0 Fig. 1. Plot of the difference between MMPT and MMT (squares) vs. month, and precipitation amount (bars) vs. month for 4 stations at different latitudes and with disparate precipitation patterns. Winter MMPTs are generally warmer than MMTs, and summer MMPTs are generally cooler than MMTs. These data imply that past calculated temporal correlations [10,11], which were based on MMTs, had too large a summer vs. winter temperature difference, biasing calculated temperature correlations to anomalously low values. 90 M.J. Kohn, J.M. Welker / Earth and Planetary Science Letters 231 (2005) 87–96 Table 1 Temperature and precipitation characteristics of select sites in the United States Station MMT MMPT Dslope (Latitude, longitude) (Jan/Jul) (Jan/Jul) (%) Fairbanks/Bethel, AK (N64849V, W147852V) International Falls, MN (N48834V, W93823V) Chicago, IL (N41847V, W87845V) Coshocton/Mansfield, OH (N40849V, W82831V) Flagstaff, AZ (N35808V, W 111840V) Santa Maria, CA (N34854V, W121815V) Waco, TX (N31837V, W97813V) Miami, FL (N25848V, W80816V) 23.6/17.0 14.0/19.4 4.6/23.2 2.5/22.6 1.4/18.5 10.8/17.0 6.8/27.9 19.6/28.0 14.6/14.1 9.0/18.4 1.3/21.5 1.6/18.7 0.9/16.0 9.2/9.2 7.7/24.1 20.2/25.2 40 20 20 40 20 N100 30 70 MAT MAPT MAy18O (x) 2.6 3.6 9.8 10.4 7.7 14.1 18.2 24.2 3.9 10.2 13.2 11.6 5.6 9.3 15.8 23.7 12.0 6.2 7.4 8.0 5.8 4.0 MMT (Jan/Jul) and MMPT (Jan/Jul) are the mean monthly temperature and mean monthly precipitation temperature for January and July. Dslope is the change in temporal slope based on Jan/Jul temperatures. MAT, MAPT, and MAy18O are the mean annual temperature, precipitation temperature and (weighted) y18O. All temperatures are in 8C. Compositions were not measured for International Falls or Miami; their temperature and precipitation characteristics were considered only for geographic completeness. Warmer winter MMPTs result because cloud cover reduces radiative cooling during longer winter nights and because warmer air holds more moisture, so that warmer events can contribute more precipitation. A steeper slope at lower temperatures is augmented by the increased isotope fractionation between water vapor and precipitation with decreasing temperature, particularly for ice and snow (e.g., [21–23]). Cooler summer MMPTs result from evaporative cooling during rainfall, plus (negative) advective heat transport during heavy precipitation events. Use of daily weather data for calculating precipitation temperatures generally yields results intermediate between MMPTs (hourly basis) and MMTs, suggesting that fine-scale weather observations are needed for accuracy. MAPTs are also offset from MATs, mainly because of seasonal differences in the amount of precipitation. For example Chicago and Fairbanks receive somewhat more summer precipitation, leading to MAPTNMAT, whereas Flagstaff and Santa Maria receive more winter precipitation, leading to MAPTbMAT (Table 1). With respect to calculated temperature coefficients, global spatial correlations are unlikely to be very strongly influenced by use of MAPTs rather than MATs. Although any one site will certainly have precipitation seasonality, affecting its MAPT, a latitudinal mean over the entire Earth should generally average out that variation. Thus, we expect that previously calculated spatial correlations are robust, although without hourly weather data for most sites in GNIP, we cannot evaluate this hypothesis directly. For the few stations in the United States with long-term composition and hourly weather data (Table 1), the spatial correlation using MAPTs is 0.59F0.12 x/K, indistinguishable from the global correlation for midlatitudes based on MATs (~0.55x/K; [12]). In contrast, systematic differences between MMTs and MMPTs for all sites imply that temporal slopes should be steeper than traditionally calculated. Indeed, data for Chicago show the expected increase in slope, from 0.46F0.02x/K, to 0.55F0.03x/K (Table 2; Fig. 2). This increase in slope is also evident in data for which cloud base temperatures (Winnemucca, NV), and Table 2 Temporal correlation and correlation coefficients of composition vs. temperature Station Dy18O/DTF1r, r 2 Dy18O/DTF1r, r 2 Dy18O/DTF1r, r 2 (MMT or MWT) (MMPT or MWPT) (CT) Chicago (monthly) Winnemucca (weekly) Cedar City (weekly) 0.46F0.02, 0.53 0.44F0.07, 0.54 0.50F0.06, 0.62 0.55F0.03, 0.57 0.67F0.11, 0.50 0.62F0.08, 0.57 0.78F0.13, 0.47 0.56F0.06, 0.67 Regressions are based on mean monthly or weekly temperature (MMT or MWT), mean monthly or weekly precipitation temperature (MMPT or MWPT), and cloud temperature (CT). Temperatures at cloud base for Winnemucca were directly determined, whereas cloud temperatures at 3.1 km elevation were assumed for Cedar City. Reduced major axis regressions were used and values are in x/K. M.J. Kohn, J.M. Welker / Earth and Planetary Science Letters 231 (2005) 87–96 5 Chicago δ18O (precipitation,‰, V-SMOW) δ18O (precipitation,‰, V-SMOW) 5 91 0 -5 -10 -15 /K 6‰ 0.4 -20 r2=0.53 -25 -15 -10 -5 0 5 10 15 20 MMT (˚C) 25 Chicago 0 -5 -10 -15 /K -20 5‰ 0.5 r2=0.57 -25 -15 -10 -5 0 5 10 15 20 25 MMPT (˚C) Fig. 2. y18O of precipitation vs. MMT and MMPT for Chicago. Use of MMPTs increases slopes, and reconciles temporal correlation with the mean spatial correlation for this latitude (~0.55x/K; [12]). Isotope compositions that were suggestive of evaporative enrichment during rainfall (y18O values above zero and/or anomalous Deuterium-excess) were omitted, although use of all data does not significantly change regression statistics. cloud temperature at height (Cedar City, UT) were determined [18]. Presumably regressions of y18O vs. cloud temperature (CT) are most accurate, because CTs are more likely a better representation of the actual temperature of the precipitation. To compare the use of MWTs vs. MWPTs, we first registered data on a weekly basis, and for Cedar City restricted consideration to a single class of storm tracks with the most observations [18]. As expected intuitively, the MWPT regressions yield temperature coefficients closest to the CT regressions (Table 2), suggesting that use of MWPTs rather than MWT is more accurate for calculating temporal correlations. We also evaluated the use of MAPTs for calculating time-series-correlations (Fig. 3). Chicago was chosen for analysis because there is no pronounced seasonal variability to precipitation amounts (Fig. 1), and there are a large number of monthly isotope measurements (Fig. 2). For specific months that lacked isotopic data (b5%), we substituted monthly mean compositions as determined from the average of other years. The 12-month running averages of MAT and MAPT (Fig. 3a) are generally correlated, but show much larger amplitudes for MAPT than for MAT—this is a product of precipitation seasonality. For example, an anomalously dry summer yields an anomalously low, mean annual y18O value (i.e., a large negative Dy18O relative to the average) because more precipitation is concentrated in the winter. This also directly decreases corresponding MAPT (large negative DMAPT), because it is dependent on precipitation amounts, for example as observed for Santa Maria and Flagstaff, which normally have low summer precipitation. However, because MAT is based on average temperature, it is less affected (small DMAT), and the calculated Dy18O/DT coefficient is therefore larger. An anomalously dry winter season has an analogous but opposite effect (large positive Dy18O and DMAPT, but small DMAT). Consequently, time-series correlations that use MAT will always yield a larger apparent temperature coefficient (Fig. 3b) than for MAPT (Fig. 3c). It is especially noteworthy that the time-series correlation of y18O vs. MAPT for Chicago (0.57F0.03x/K) is indistinguishable from (a) the global spatial correlation using MAT (~0.55x/K for mid-latitudes; [12]), (b) the U.S. spatial correlation using MAPT (0.59F0.12x/K) and (c) the MAPT temporal correlation for Chicago (0.55F0.03x/K). In general, use of mean surface temperatures will always underestimate temporal correlations and overestimate time-series correlations. In contrast, use of temperatures during precipitation events yields indistinguishable temperature coefficients for temporal, 92 M.J. Kohn, J.M. Welker / Earth and Planetary Science Letters 231 (2005) 87–96 16 14 MAδ18O(‰, V-SMOW) MAPT 13 12 11 10 MAT 9 -6 -8 MAδ18O(‰, V-SMOW) /K .08 ‰ 1.1 8± 0 -4 -5 -6 -7 -8 -9 10 12 14 MAT (˚C) 16 75 d -3 -4 -5 -6 -7 -8 /K 3‰ -9 r2=0.05 -10 8 19 19 -2 c -3 70 65 75 19 70 19 19 -2 MAδ18O(‰, V-SMOW) -4 -10 65 8 b 19 MAT, MAPT (˚C) 15 -2 a Chicago, IL -10 7 0.5 8 .0 ±0 r2=0.25 10 12 14 16 MAPT (˚C) Fig. 3. (a) 12-month running averages of MAT and MAPT for Chicago. Time-series of MAPT shows larger amplitude than MAT, due to seasonal variation in precipitation amounts, implying that MAT-based time-series overestimate slope of temperature correlations. (b) 12-month running average of y18O for Chicago. (c) Plot of mean annual y18O (MAy18O) vs. MAT implies an extremely high slope for the temperature correlation. (d) Plot of MAy18O vs. MAPT yields a shallower slope that is indistinguishable from the spatial and temporal (MMPT) correlations. spatial, and time-series correlations. The common temperature coefficient determined for Chicago, ~0.55x/K is also consistent with theoretical distillation models (0.5–0.7x/K; [2]), whereas the temporal and time-series slopes that use MMTs and MATs are not. 5. Implications for paleoclimate studies We reiterate the strong emphasis of many workers that modern temperature coefficients may have little relevance for quantitative interpretation of isotopic records of climate change because of the multitude of factors that influence stable isotopes in precipitation. There are important effects on modern compositions from initial vapor sources and recycling from the landscape, air mass trajectories and fallout histories, micrometeorological processes (e.g., evaporation during descent and kinetic fractionations during condensation), etc., but these are either too site-specific for generalization (e.g., [18]), or have already been discussed elsewhere (e.g., [24]). This includes the possibility of evaporative y18O enrichment of precip- M.J. Kohn, J.M. Welker / Earth and Planetary Science Letters 231 (2005) 87–96 itation below the cloud base, which in principle can be monitored either via Deuterium-excess or the 17O anomaly [25]. Instead of reiterating those arguments and treatments for modern precipitation, we prefer to discuss possible pitfalls in applications where modern temperature coefficients are used or compared to paleoclimate temperature coefficients. One potential issue is the validation of GCMs that incorporate isotopes in precipitation. For obvious reasons, validation schemes are principally based on correspondence between predicted values for a modern model vs. modern measurements of mean temperature, precipitation amount, isotope composition, etc. For example one might directly compare mean predicted monthly temperature and isotope composition with observed values for a specific site, or plot y18O vs. temperature for spatially disparate sites to see whether predicted and measured coefficients correspond [5–8]. This approach fundamentally assumes that a mean temperature and mean isotope composition are in fact comparable—yet they cannot be, because they are not temporally equivalent. Consequently there may be important, but overlooked biases. For example, the composition of January precipitation in Chicago (~14x) occurs at a MMPT of 1.3 8C, but would be validated against a MMT of 4.6 8C. Any modeled MMPT other than 1.3 8C would be incorrect, but unless MMPT were calculated, this error would go undetected. Some sites show differences in MMT vs. MMPT up to 10 K for some months, and seasonal precipitation may impart differences in MAT vs. MAPT in excess of 5 K (Table 1). Because precipitation temperatures are not reported in the GCM literature, the magnitude of any modeling errors is as yet unknown. However we note that a possible 5–10 K difference in temperature far exceeds modeling bnoiseQ of approximately a few degrees [5–8]. We reiterate that on a global scale there may not be much difference in retrieved coefficients for spatial correlations if MAPTs are substituted for MATs, supporting this specific validation of global models [5–8]. However this conclusion does not extend to regional models where there is a stronger potential for systematic precipitation seasonality. It is important to recognize that GCM models already monitor (simulated) surface temperature during precipitation 93 with fine temporal resolution, so revision of validation approaches should be straightforward. A second area of concern is the comparison of paleoclimate vs. modern correlations, and attempts to reconcile them by focusing on the smaller coefficient for the modern temporal correlation. This is particularly relevant for interpreting the stable isotope response to climate change in Greenland. As summarized for the central Greenland ice cores [26], independent estimators of temperature change and measured isotopic shifts have yielded a small temperature-coefficient for glacial–interglacial cycles (~0.3x/K for 10–100 Ka), but a higher coefficient for the more recent record (~0.5x/K for the last few hundred years). This last value is strikingly similar to the temporal correlation calculated for modern snowpits in Greenland (~0.5x/K; [27,28]), and is clearly different from the modern spatial correlation (~0.7x/ K; [2]). However, as we have shown for other sites, the modern temporal and spatial correlations may well be reconcilable simply by using precipitation temperatures rather than mean temperatures. For Summit, Greenland, we were able to test this hypothesis, via unpublished hourly meteorological observations that were generously provided by Dr. K. Steffen and the Greenland Climate Network (GCNet; [29]; Table 3). This test is only approximate for several reasons. Most importantly, although GC-Net does measure air temperature, it does not directly measure amount of precipitation. Instead, as a proxy for precipitation amount, we used surface height as monitored 4 ways—2 sensors dedicated to measuring surface height, and the measured heights of the temperature sensors. Because of wind scouring and blowing snow, surface levels can vary erratically, and to account for this we averaged surface height observations with a 5-h window. We chose a relatively small window because daily data for North America yield different coefficients from hourly data. Compaction also tends to decrease surface levels, so we discarded any negative changes to surface levels. This choice likely overestimates precipitation amounts. Other possible sources of bias include: a small data base (~50 months of data); thermal inversions, which are common in polar regions, but not taken into account by surface measurements; and variations in snow water content, which was not measured. M.J. Kohn, J.M. Welker / Earth and Planetary Science Letters 231 (2005) 87–96 Table 3 Temperature and precipitation characteristics of Summit, Greenland Month MMT (8C) Apparent precipitation MMPT MMPT-MMT (8C) (8C) 33.6 39.5 38.7 32.8 23.1 14.9 12.8 14.1 21.4 32.6 31.9 32.6 5.8 3.1 0.4 0.8 0.5 1.5 0.8 0.8 0.8 0.1 2.7 5.0 (cm) January February March April May June July August September October November December 39.4 42.6 39.1 32.0 23.6 16.4 13.7 14.9 22.2 32.5 34.6 37.6 19 26 83 61 46 33 39 52 54 49 46 28 Data span January 2000 through May 2004. The MAT and MAPT are approximately 29.5 and 27.8, respectively. Precipitation amounts are quite approximate, and are uncorrected for snow water content, compaction, blowing snow, etc. See text for discussion. 9 150 Summit, Greenland MAT=-29.5 MAPT=-27.8 125 100 3 75 50 MMP (cm) 6 0 25 Oc t No v De c Jul Au g Se p 0 b Ma r Ap r Ma y Jun Jan -3 Fe Although approximate, the GC-Net data (Table 3; Fig. 4) do suggest similar behavior for Greenland as for other sites (Fig. 1), in that winter MMPTs are ~ 5 K warmer than MMTs. Because the total range of MMT’s for Summit is about 30 K (Table 3), this would increase the temporal correlation determined from snow pits by ~20% (to ~0.6x/K). Considering that Fairbanks, where precipitation is directly measured, shows a much more pronounced winter effect (Fig. 1), the correction for Greenland may be underestimated. Regardless, the increase in slope helps to reconcile Greenland’s temporal and spatial correlations, and further underscores the disparity between modern and paleoclimate temperature correlations, as first identified in the deeper portions of the cores, and as emphasized by modelers. As a final point, it might be argued that bprecipitation temperatureQ is not useful, firstly because it combines two climate parameters (precipitation amount and temperature), and secondly because the paleoclimate community and public principally focus on changes in mean temperature. While mean temperature may indeed be of more interest, it is an unfortunate fact that the mean temperature over a time interval has little to do with precipitation, because most of the time there is no precipitation, and precipitation amounts are rarely distributed MMPT-MMT (˚C) 94 Fig. 4. Plot of the difference between MMPT and MMT (squares) vs. month and precipitation amount (bars) vs. month for Summit, Greenland, showing similar pattern to mid-latitude sites (Fig. 1). Because precipitation amounts were not directly measured, MMPT and MAPT values are approximate. uniformly throughout a particular time interval. Although upon first consideration one might assume that precipitation temperatures and mean temperatures are not significantly different, that assumption is clearly false for nearly all time spans we have considered (seasonal to decadal), and for nearly all regions. That is, if isotope compositions do encode temperature, then they must encode temperatures during precipitation events, not mean temperatures. Insofar as events contributing more precipitation usually bcountQ more in an isotopic record, there is a direct dependence of isotope composition on precipitation amount, and this propagates to all paleoclimate proxies whose isotopic compositions are linked to precipitation. For isotope records to be interpreted quantitatively in terms of changes to mean temperature, the correspondence between precipitation temperature and mean temperature must first be evaluated, either through modern records or through GCMs, where mean temperature and precipitation temperature are independently known or calculated. Acknowledgements We thank the K-12 science classes of the Oregon Network of Isotopes in Precipitation (ORNIP) for M.J. Kohn, J.M. Welker / Earth and Planetary Science Letters 231 (2005) 87–96 alerting us to the importance of event-based data analysis, and K. Steffen for his generous and timely provision of unpublished observations for Summit, Greenland. T. 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