2.1. Mass-dependent fractionation coefficient
Detailed descriptions and reviews of current knowledge concerning
17O distribution in natural waters are available in the published literature (Angert et al., 2004; Luz and Barkan, 2010; Landais et al., 2008; Uemura et al., 2010; Steig et al., 2021; Miller and Pack, 2021; Sharp et al., 2018; Thiemens, 2006; Aron et al., 2021). Briefly, mass-dependent, kinetic or equilibrium isotopic fractionation (MDF) of oxygen isotopes in water cycle processes, such as evaporation, diffusion, and condensation, is expressed using the conventional d notation as follows:
where d = 10
3 (R
sample/R
standard – 1), R is the isotope ratio (
17O/
16O or
18O/
16O) in a sample or the VSMOW isotopic standard, and l is a constant for mass-dependent fractionation (MDF coefficient). In the commonly used notation for triple isotope systems, Eq. 1 is written as:
The d’ values are slightly more negative than the d values, but are used for triple isotope evaluations so that the d
17O – d
18O relationship becomes linear (Miller and Pack, 2021). Deviations from mass-dependent fractionation are given as (Miller and Pack, 2021):
The MDF coefficient (l) has a value of approximately 0.5 (Miller and Pack, 2021). For natural waters, the actual fractionation processes are not easily quantified and therefore the l value is determined empirically (Eq. 2) as the regression slope of d’
17O versus d’
18O (Miller and Pack, 2021). This regression is conducted using a diverse set of natural water samples and it is assumed that the
17O of those samples is affected only by mass-dependent isotope fractionation. A l value of 0.528 was determined (Meijer and Li, 1998; Luz and Barkan, 2010) by using isotopic data from water samples of precipitation, lakes, rivers, springs, and ice cores collected from the tropics to Antarctica. The resulting ∆’
17O values are quite variable, with a positive or negative slope in the ∆’
17O – d’
18O space, and are mostly greater than zero (
Figure 1). The ∆’
17O values are less than zero for a smaller proportion of ice core and extratropical precipitation samples (
Figure 1).
Mass-dependent fractionation processes, by definition, result in ∆’17O values of zero (Thiemens, 2006). Therefore, the positive or negative ∆’17O values in natural waters have been attributed to different MDFs in equilibrium (MDF l =0.529) and kinetic (MDF l =0.519) fractionation processes. The proportions of equilibrium or kinetic MDF are considered to vary depending upon the relative humidity during ocean evaporation in the moisture source region (Uemura et al., 2010; Landais et al., 2008). This D’17O behavior is analogous to that of relative d18O and d2H composition (d-excess), which is also interpreted to reflect humidity and/or sea surface temperature variations in the moisture source region. However, D’17O and d-excess in ice cores are not well correlated (Steig et al., 2021; Miller and Pack, 2021). The ocean relative humidity during the LGM based on ∆’17O of ice cores is inferred to be higher compared to present-day values. This finding appears to be inconsistent with recent observational trends or climate model predictions (Sherwood et al., 2009). Following several studies with extensive isotopic datasets, the humidity dependence of MDF in the moisture source region is insufficient to explain the observed D’17O variations in precipitation and ice cores (Steig et al., 2021; Miller and Pack, 2021).
An alternative is that the MDF coefficient in water cycle processes may simply be variable in polar and non-polar precipitation instead of a constant value of 0.528 (Sharp et al., 2018). There is, however, no predictive mechanism available for quantifying the geographical or climatic variations for this MDF coefficient. Consequently, the causes of D’17O variability in modern or past precipitation remain poorly understood (Steig et al., 2021; Miller and Pack, 2021, Sherwood et al., 2009).
This lack of understanding of D’17O variations could also be a consequence of an incomplete representation of processes affecting natural water 17O levels in the presently accepted MDF coefficient of 0.528. As noted above, this coefficient was estimated from a dataset that included samples of Antarctic ice (Luz and Barkan, 2010; Landais et al., 2008), which has been shown to contain a stratospheric input (Winkler et al., 2014; Pang et al., 2022). Similarly, upper tropospheric moisture contributing to extratropical precipitation may also include a MIF component because of stratosphere to troposphere transport that occurs mostly at high latitudes (Holton et al., 1995). Indeed, a lower MDF coefficient of 0.525 is obtained when Antarctic and mid- to high-latitude samples are excluded from the presently used reference dataset of Luz and Barkan (2010). This is lowered further to 0.523, when lakes and ponds also are excluded as δ17O in some of these samples was considered to have been affected by evaporation (Luz and Barkan, 2010). Therefore, the existing evidence indicates that the influence of stratospheric input of 17O on precipitation 17O must be evaluated in order to characterize the MDF coefficient.
Stratospheric air, including water vapor, reaches the troposphere by stratosphere to troposphere transport (STT) driven by the meridional Brewer-Dobson Circulation (BDC) (Holton et al., 1995; Rosenlof, 1995). The BDC acts as an “extratropical pump” (
Figure S1) with upwelling of tropospheric air across the tropopause in the tropics (23˚N – 23˚S latitude), poleward transport within the stratosphere, and downwelling of stratospheric air at high latitudes (poleward of ~60˚N or ~50˚S) of the winter hemisphere (Holton et al., 1995; Rosenlof, 1995). Tropospheric moisture in the tropics is derived mostly from ocean evaporation (
Figures S1 and S2) and the water vapor mixing ratio decreases with altitude to ~10 ppmv near the tropopause (~10-18 km) (Holton et al., 1995; Sherwood et al., 2009). This air is further dehydrated to a mixing ratio of ~2–3 ppmv by freeze-drying across the tropopause before entering the stratosphere (Holton et al., 1995), with its d
17O reflecting mass-dependent fractionation (d
17O≈0.5 d
18O) in ocean evaporation (Franz and Rockmann, 2005; Brinjikji and Lyons, 2021). In the stratosphere, water vapor d
17O increases by isotope exchange with NOx species, which have a higher
17O abundance as a result of MIF (Thiemens, 2006; Franz and Rockmann, 2005; Brinjikji and Lyons, 2021; Zahn et al., 2006). The water vapor mixing ratio of stratospheric air nearly doubles to ~4–6 ppmv (Holton et al., 1995) due to
in situ production by methane oxidation. This
in situ production occurs with oxygen that carries an MIF imprint resulting in water vapor that has higher d
17O compared to that from MDF (Franz and Rockmann, 2005; Brinjikji and Lyons, 2021; Zahn et al., 2006). Stratospheric water vapor with elevated d
17O reaches the troposphere in the downward flow of the BDC at high latitudes. Higher d
17O/d
18O ratios (with D’
17O values of ~ –2000 ppm) have been observed in upper tropospheric moisture just below the tropopause poleward of ~64˚S latitude (Franz and Rockmann, 2005). As the net vertical transport of water vapor in the tropics is towards the stratosphere (Franz and Rockmann, 2005), the latitudinal variability in STT would also result in a variable d
17O/d
18O ratios (or D’
17O) of the upper tropospheric moisture.
Upper tropospheric moisture in turn is incorporated in precipitation (Matejka et al., 1980; Houze, 2014). This is indicated also by the ubiquitous presence of cosmogenic tritium that is produced predominantly in the stratosphere and is also carried to the troposphere by STT (Lal and Peters, 1967; Fourre et al., 2018). Latitudinal variability in d
17O/d
18O ratios (or D’
17O) of upper tropospheric moisture therefore can be reflected in precipitation. An inverse correlation of tritium and d
18O is observed in Antarctic surface snow (
Figure S3). It suggests that a tropospheric moisture component influenced by STT may contribute to the lower d
18O of Antarctic precipitation (Winkler et al., 2013). In non-polar regions, stratiform-type precipitation, which originates largely from tropospheric moisture (Matejka et al., 1980; Houze, 2014), has lower d
18O compared to convective-type precipitation (Aggarwal et al., 2016), which originates largely from moisture in the planetary boundary layer (Matejka et al., 1980; Houze, 2014). Consequently, the d
17O of precipitation may also include a variable component of stratospheric input.
Once precipitation is formed, however, subsequent fractionation in water cycle processes (for example evaporation, sublimation, diffusion, or isotopic exchange in surface snow) would all be mass-dependent with a change in d17O ≈ 0.5 d18O (Franz and Rockmann, 2005). In other words, if precipitation at different latitudes or in different seasons forms with a tropospheric moisture component which has variable d17O/d18O ratios, this variability in isotopic ratios (or D’17O) would be preserved because any subsequent isotopic fractionation would be mass-dependent and change the d17O value by approximately half that of d18O. Indeed, high latitude precipitation poleward of 60°N or 60°S has a d’17O versus d’18O regression slope of 0.529, compared to a slope of 0.527 at lower latitudes towards the equator (Sharp et al., 2018; Aron et al., 2021).
Stratospheric inputs are minimal in the tropics, where the net vertical mass flux is towards the stratosphere. At mid- to high-latitudes, stratospheric inputs increase owing to the Brewer-Dobson Circulation (
Figure S1; Holton et al., 1995). Therefore, we can characterize the coefficient of mass-dependent fractionation by evaluating the d’
17O – d’
18O relationships in tropical and extratropical precipitation. This approach is similar to that used for identifying a stratospheric component in tropospheric O
2 (Luz et al., 1999).
We compiled the d’17O and d’18O values of 858 samples of precipitation and surface water from the published literature (Kaseke et al., 2018; Bhattacharya et al., 2021; He et al., 2021; Aron et al., 2021; Uechi and Uemera, 2019; Tian and Wang, 2019; Luz and Barkan, 2010; Surma et al., 2019; Voigt et al., 2021). These data were separated into subsets of tropical (about 23˚N – 23˚S latitude), sub-tropical (about 23˚ to 30˚ N or S) and extratropical (30˚ to 60˚ N or S) regions.
The d’
17O versus d’
18O regression slope for tropical precipitation and surface waters (elevation < 1000 m) is 0.521 (
Table 1). Combined regression of tropical and subtropical waters also has a slope of 0.521. That value increases to 0.523 when high elevation (~1000 to ~4600 m) tropical waters (with low d
18O values) are included in the regression. Conversely, tropical and subtropical waters with higher d
18O values (> – 4‰) have a lower slope of 0.516 (n=133). Although stratospheric input in the tropics is minimal, some of the deep convective and other precipitation may still be influenced by it. Combined isotope and radar studies of precipitation events in California, USA have suggested that lower d
18O precipitation originates at higher altitudes (Coplen et al., 2008). As noted previously, the d
18O of precipitation has been shown to decrease with an increasing proportion of stratiform-type precipitation (Aggarwal et al., 2016) that originates mostly from tropospheric moisture (Matejka et al., 1980; Houze, 2014). Nearly half of the precipitation in the tropics consists of the stratiform fraction (Houze, 2014). The lower regression slope of 0.516 for higher d
18O samples suggests that some of the tropical water samples with slightly lower d
18O may carry some stratospheric influence.
Regression of data from extratropical precipitation alone or together with tropical and subtropical waters gives higher slopes of 0.525 to 0.527 (
Table 1). These higher slopes are consistent with a greater influence of stratospheric input in extratropical regions compared to the tropics. Regression of the subset of extratropical precipitation samples with d
18O > – 4‰ again results in a lower slope (~0.520) compared to that (0.529) for samples with d
18O < – 4‰. A combined regression of all samples in our dataset with higher d
18O (> – 4‰), including those from the extratropics, results in a regression slope of 0.516 as was noted above for samples only from the tropics (
Table 1).
The regression intercepts for all subsets, except when the dataset included all or low-d
18O (< – 4‰) extratropical precipitation, are statistically insignificant with p-values of 0.13 to 0.93 (
Table 1). Thus, the d’
17O versus d’
18O regression line for tropical precipitation passes through the origin and indicates that water vapor from ocean evaporation does not have an anomalous
17O compared to that expected from MDF, contrary to the conclusions from previous studies (Landais et al., 2008; Luz and Barkan, 2010).
The 0.516 value for the regression slope of heavier d
18O waters (> –4‰) is nearly the same as the MDF coefficients in other terrestrial processes, including diffusion in air (Barkan and Luz, 2007), plant photosynthesis (Landais et al., 2007), and leaf water evaporation (Landais et al., 2006). It is likely therefore that for natural waters also the MDF coefficient has a value of ~0.516. This value is not substantially different than the 0.521 value obtained from the regression of tropical precipitation excluding high elevations samples (
Table 1). In the discussion below, we use 0.516 as the MDF coefficient to evaluate stratospheric input and MDF influence on natural waters. This discussion remains essentially the same if a value of 0.521 is used and we have included the corresponding figures in Supporting Information.
2.2. Influence of stratospheric input on D’17O
The influence of stratospheric
17O input on precipitation D’
17O can be evaluated by examining its variability in ice cores, seawater and extratropical precipitation with respect to mass-dependent fractionation in tropical precipitation. As
Figure 1 shows, the MDF coefficient value of 0.528 results in variable D’
17O – d’
18O correlations for polar snow and ice cores, tropical glaciers, seawater and extratropical precipitation. the same data show a strong correlation with a coefficient value of 0.516 (
Figure 2), or 0.521 (
Figure S4). The distribution of all of the Antarctic and Arctic snow or ice core samples is defined by a single regression line (R
2 = 0.996). Extratropical precipitation with d
18O < –4‰ and ice cores from tropical glaciers (Dasuopu) also lie along this trend (
Figure 2A). We note that extratropical precipitation with unusually low d
18O (~ –31 to –28 ‰) has nearly the same D’
17O as Greenland surface snow in a comparable d’
18O range (
Figure 2A). Low d
18O in extratropical precipitation commonly occurs during extreme weather conditions with a polar vortex and subsidence of drier, upper tropospheric air (Goering et al., 2001), which would cause D’
17O values to be similar to polar precipitation.
Seawater and extratropical precipitation with d’
18O greater than about –4‰ do not follow the D’
17O – d’
18O correlation trend defined by polar snow and ice (
Figure 2A) and have a nearly zero D’
17O, consistent with only mass-dependent fractionation affecting the
17O content. This lack of correlation in seawater and higher d’
18O precipitation remains the same with a MDF coefficients of 0.521 (
Figure S4). The high d’
18O extratropical precipitation samples are differentiated from the rest of the samples (by having negative values of D’
17O) when a coefficient of 0.528 is used (
Figure 1). These coefficient values (0.521 or 0.528) were derived from a regression of all data, including d
18O > –4‰ and, therefore, the selection of data used for estimating the MDF coefficient does not influence the lack of D’
17O – d’
18O correlation in higher d
18O waters.
The D’
17O magnitude of Antarctic surface snow from near the Terra Nova coast to Dome C (
Figure 2B) increases nearly twofold (albeit as negative values), as does its tritium content (
Figure S3). This observation supports the correlation of increasing D’
17O magnitude with greater stratospheric input because tritium is a proxy for stratosphere to troposphere mass transport (Lal and Peters, 1967; Fourre et al., 2006). The correlation of D’
17O with tritium has also been used to suggest a stratospheric influence on the
17O of near-surface Antarctic snow (Winkler et al., 2013).
The increasingly negative values of D’
17O attributed to an increasing stratospheric input are counter-intuitive because stratospheric input has higher
17O levels than tropospheric moisture. However, this is an artifact of the definition of D’
17O – relative to to d’
18O – and the very low d’
18O of stratospheric input. We can evaluate the impact of stratospheric
17O input on tropospheric moisture D’
17O values using a two-component mixing model. Let
f be the fraction of the stratospheric moisture component and
r be the d’
17O/ d’
18O ratio in the stratospheric (
st) or tropospheric (
tr) fractions. Because tropospheric moisture would only have mass-dependent fractionation,
rtr is equivalent to l, the MDF coefficient. Then,
and,
Substituting (4) and (5) in (6) yields:
Because the value of d’18Ost would always be a negative number (Schmidt et al., 2005), Equation (7) shows that an increasing stratospheric fraction would result in D’17O values that may be increasingly negative or positive depending upon rst being greater than or less than l. An approximate value of rst can be obtained from winter Antarctic precipitation when stratospheric input into the troposphere occurs by the Brewer-Dobson circulation (Pang et al., 2022; Winkler et al., 2013) and upper tropospheric air descends to low elevations near the ground surface (Roscoe, 2004). Regression of d’17O versus d’18O in winter Antarctic precipitation and surface snow (Landais et al., 2012; Touzeau et al., 2016) gives a rst value of 0.530.
Thus, with a l value of 0.516 (or 0.521), less than the estimated
rst, D’
17O values would be negative and become more negative with an increasing stratospheric fraction. For l values greater than
rst (e.g., 0.534), D’
17O values would be positive. We observe the same patterns of D’
17O – d’
18O correlations in tropical to polar precipitation (
Figure 2 and
Figure S4). If the l value were to be closer to
rst, and may be higher or lower than
rst at different latitudes, the D’
17O values would be positive or negative and decrease or increase with decreasing d’
18O. Such variable D’
17O – d
18O relationships are observed in tropical to polar precipitation with l = 0.528 (
Figure 1).