Abstract
Ice nucleation in cold clouds is a decisive step in the formation of rain and snow. Observations and modelling suggest that variations in the concentrations of ice nucleating particles (INPs) affect timing, location and amount of precipitation. A quantitative description of the abundance and variability of INPs is crucial to assess and predict their influence on precipitation. Here we used the hydrological indicator δ18O to derive the fraction of water vapour lost from precipitating clouds and correlated it with the abundance of INPs in freshly fallen snow. Results show that the number of INPs active at temperatures ≥ −10 °C (INPs−10) halves for every 10% of vapour lost through precipitation. Particles of similar size (>0.5 μm) halve in number for only every 20% of vapour lost, suggesting effective microphysical processing of INPs during precipitation. We show that INPs active at moderate supercooling are rapidly depleted by precipitating clouds, limiting their impact on subsequent rainfall development in time and space.
Ice formation in clouds contributes to the development of precipitation at mid-latitutdes1,2,3,4. Ice nucleating particles (INPs) of biological origin can be effective in promoting ice nucleation at temperatures around −10 °C or warmer5,6,7, whereas at colder temperatures inorganic substances are likely to be responsible for an increasing fraction of ice particles formed in the atmosphere8. Here we focus on the cumulative number of INPs active at temperatures warmer than −10 °C (INPs−10), the range where the activity of INPs of biological origin seems to be dominant. Such INPs include certain bacteria, fungal spores and pollen, but a large fraction of INPs from biological sources in the atmosphere may also be composed of ice nucleation active macromolecules associated with mineral and soil particles9,10. Because of usually very small number concentrations in the atmosphere, the potential role of such particles in conditioning precipitation is still contentious11,12.
Elevated concentrations of INPs associated with dust from desert storms on other continents and with far away and regionally emitted INPs were recently found to contribute to precipitation over the Western USA4 and the Amazon basin13 respectively. Overall, it is likely that there is a coincidence in time and space of the concentration of INPs and the intensity of precipitation events14, raising the general question of where and when cloud glaciation and subsequent precipitation are limited or facilitated by INPs. To address this question, it is crucial to understand the major factors driving the variation of atmospheric concentrations of INPs, which have been observed to range over several orders of magnitude3,15.
Feedbacks between human activities and climate modifications could be, or become, partly influenced by INPs. In fact, intensifying land use and climatic change are likely to increase future emissions of INPs associated with wind-blown soil dust16. Changes in vegetation cover, crop type and management may also affect emissions of ice nucleating particles from vegetation12. In this study we intend to quantify the relation between the fraction of water lost from air masses and the residual concentrations of INPs−10. This could help to assess the range of influence that a change in the source strength of INPs in a particular region may have on precipitation downwind.
Results
General overview
The concentration of INPs in an air mass is principally a function of (a) the accumulation of INPs from sea and land surfaces that the air mass has contacted, (b) the degree of mixing with other air masses, richer or poorer in INPs, and (c) the cumulative loss of INPs, most importantly by wet deposition processes, across its trajectory. Here we focus on the proportion of variation in the abundance of INPs that the last factor (c) might explain when (a) and (b) are presumed to be constant. Presuming (a) to be constant, we assume a temporally steady and spatially homogenous cumulative mix of INPs from several sources. Our presumption of (b) to be constant does not account for possible cumulative enhancement of INPs by falling and evaporating hydrometeors.
Observations and direct measurements relate to the conditions at the High Altitude Research Station Jungfraujoch (7° 59′ 06” E, 46° 32′ 51” N, 3580 m a.s.l.).
Water precipitating at Jungfraujoch generally originates from evaporation from either the North Atlantic or the Mediterranean Sea, depending on trajectories of air masses17. Upon its approach over land, moist air picks up additional dust and biogenic particles from various sources. Through precipitation it loses varying proportions of water and particles before arriving at Jungfraujoch, which is on the highest mountain ridge between the Mediterranean and the Atlantic water source regions. Isotopic fractionation leads to a preferential condensation and loss of heavier isotopes (18O and 2H) compared to the lighter ones (16O and 1H; for sake of brevity we will refer hereafter only to oxygen). This results in increasingly smaller values of the ratio 18O/16O, expressed as δ18O, both in cloud water and rain or snow during the progressive development of precipitation18,19,20,21. Although the isotopic signal is sensitive to the integrated amount of precipitation deposited from an air mass, it provides no details about the specific conditions that have triggered a precipitation event (e.g. temperature) or whether the integrated precipitation was lost in one or in several events. Not only δ18O, but also the number of INPs in precipitation is influenced by the cumulative history of water loss from the air mass, since INPs active at the warmest supercooling are the first to be activated as a cloud progressively cools down, and are potentially removed with precipitation. Therefore, the larger the fraction of water that has precipitated, the greater the chance that INPs active at moderate supercooling have been removed, hence the smaller the fraction of such INPs among other particles in later precipitation (Fig. 1).
INPs get rapidly lost from a precipitating cloud
Over a 10-month period (December 2012 to September 2013) we sampled snow within precipitating air masses that had lost between 22 and 95% of their initial water content before arriving at the observatory (Fig. 2). The decision to initiate a sampling campaign depended on weather forecasts that predicted snowfall for at least two full days in a row, to assure that we could collect multiple samples within the same campaign. A total of 304 mm were collected, reaching approximately 20% of the total amount of precipitation fallen in the same period of 10 months at the closest station recording precipitation (1640 mm, Kleine Scheidegg, 2060 m a.s.l., 4.6 km North from Jungfraujoch). A trend of INPs−10 · ml−1 of snow with minimum values in winter and maximum values in summer appears from the data collected (comparison among months, Kruskall-Wallis p < 0.001). Nevertheless, similarly large variations of INPs−10 are apparent even among samples collected within a single sampling campaign, as for instance in June and August 2013.
The predominant factor with a similarly marked variability that correlates with the abundance of INPs−10 observed in precipitation, is the fraction of residual water vapour in clouds (Fig. 2).
The abundance of INPs−10 in snow declines exponentially with increasing proportions of water lost before arrival of an air mass at Jungfraujoch (Fig. 2b), and is best described by equation (1):
We can derive from this empirical equation, fitted to our data, an estimate for the largest number of INPs−10 to expect in 1 ml of precipitation at Jungfraujoch. If the very first precipitation from an air mass is just about triggered at the observatory (1–fV = 0) we would expect it to contain around 103 INPs−10 · ml−1. This number is probably a consequence of the strength of the sources of INPs influencing Jungfraujoch. Nevertheless, we can presume the exponential relationship to hold also in other places because of a generally geometric behaviour observed in precipitating particles22. Physical processes during the course of precipitation define the factor −7.57 in the exponent, which might have a similar value also at other locations where the same physical processes are at work. It suggests that the concentration of INPs−10 halves with about every 10% of moisture lost from a precipitating air mass (e.g. moving 1–fV = 0.5 to 1–fV = 0.6 results in: e(−7.57 ⋅ 0.6)/e(−7.57 ⋅ 0.5) = 0.47).
Selective removal of INPs
The question remains whether there is experimental evidence for an INP being more likely to be deposited from an air mass than a particle of similar size that is not ice nucleation active. INPs should, in principle, be the starting point for snowflakes precipitating from a cloud. The average activation diameter for cloud condensation nuclei at Jungfraujoch is about 0.1 μm and most INPs are probably larger than 0.5 μm23,24. Relating concentrations of INPs−10 in precipitating snow to all particles larger than 0.5 μm (N> 0.5) in the same air volume reveals a significant negative trend in the ratio of INPs−10 to N > 0.5 with an increasing fraction of vapour lost, despite the large scatter of data (Fig. 3).
If the ratio of INPs−10 to N > 0.5 were independent from the fraction of water vapour lost, we could say that both kinds of particles are removed with equal efficiency from a precipitating cloud. This is clearly not the case. The function fitted to our data (Fig. 3) suggests that the ratio of INPs−10 to particles of similar size N > 0.5 is reduced to 0.69 times of what it was before with every 10% of initial water vapour lost from a precipitating cloud (e.g.: e(−3.67·0.6)/e(−3.67·0.5) = 0.69). With the same 10% loss of vapour, the absolute number of INPs−10 almost halves (0.47, equation (1)) and the absolute number of N>0.5 is consequently reduced to 0.68 times of what it was before (reduction of INPs−10 in absolute terms (factor 0.47) divided by the change in the ratio INPs−10/N>0.5 (factor 0.69) = 0.68). Hence, to halve the number of N>0.5 (0.68 × 0.68 = 0.46, approximately the half) requires about 20% moisture loss, almost twice the amount of water vapour lost to what is necessary to halve the number of INPs−10, suggesting active microphysical processing of particles25. This selective loss of INPs is highly significant, but explains only about one sixth of the total variation in the ratio of INPs−10 to N>0.5. The remaining variation might be due to source-related factors and could reflect temporal and spatial differences in INPs−10, N>0.5 and in the proportion of INPs among particles N>0.5 emitted to the atmosphere before precipitation. Part of the scattering of INPs−10 and N>0.5 data may be also due to differences in the dimensions of INPs and total particles in each sample. In fact, not only nucleation but also impaction scavenging of aerosols can contribute to the simultaneous removal of particles, with an efficiency largely depending on the size of aerosols and precipitation intensity26,27,28.
Discussion
Land use and climate change alter the distribution, the quality and the size of soil and vegetation cover in a landscape, and with it the strength and distribution of sources of different INPs12,16,29. As we illustrate here, the ratio of stable water isotopes in precipitation can be used in novel way to characterize the history of air masses in terms of residual abundance of INPs. Despite simplifying assumptions, our approach explains more than 50% of the large variation of INPs−10 observed in snow both within short sampling campaigns and over the year. Much of the unexplained variation is probably due to variations in the initial concentration of INPs before precipitation, which depends both on the source strength of INPs and on the degree of the mixing of air masses with different initial concentrations of INPs (e.g. from different altitudes or regions). Source strength in the lowland north of Jungfraujoch is scattered over two orders of magnitude during most of the year, but does not seem to change with season30. In the same study the seasonal variation observed on Jungfraujoch seemed to be driven by microphysical processing of INPs through activation and deposition from approaching air masses. The same process may explain much of the observed temporal variation of INPs in this study (Fig. 2). It is in fact supported by the finding that INPs−10 are deposited more efficiently than other particles of similar size (Fig. 3).
Carrying out similar measurements on stable water isotopes and on INPs also at other stations will firstly lead to the constant improvement and refinement of our calculations and, secondly, it will shed new light on the evolution of concentrations of INPs before and during precipitation events over the trajectories of air masses.
This will provide an important contribution for mapping the probabilities of the abundance of INPs and their exchanges across regions, in particular the estimation of how far from a source and along a specific trajectory INPs might have an impact. Furthermore, the fact that INPs active at moderate supercooling get rapidly lost through precipitation adds a significant constraint to the role of such INPs on the development of cloud processes in time and space, fostering a deeper understanding of the effects of different land use strategies on rainfall distributions. Therefore, predictive modelling of precipitation patterns, and eventually of water supply and climate change could be improved through enhanced precision about where and when INPs are incorporated into air masses and subsequently parachute with rain and snow along their trajectory over landscapes.
Methods
Sample collection
During sampling events the Research Station Jungfraujoch was always inside clouds and the temperature of the air at the Station was ranging from −27.3 °C to 0.4 °C. Snow samples were collected with a teflon-coated tin (0.1 m2, 8 cm deep) carefully rinsed ethanol and sterile Milli-Q water. Sampling duration lasted from 1.5 to 8 hours (median time = 2 hours). Snow was melted at around 16 °C and analysed within less than 4 hours after its collection. The cumulative number of INPs was determined between −2 °C and −12 °C in immersion freezing mode, using an automated drop freeze apparatus31 loaded with 52 tubes containing 100 μl of sample each. In our analyses we concentrated on the warmest temperature at which all samples had a detectable number of INPs, which was −10 °C. The smallest number concentration of INPs that can be detected with this configuration is 0.21 INPs · ml−1. Blanks were periodically prepared by sprinkling Milli-Q water into the tin and analysed with the same material and method as the snow samples, at 200 μl per tube to obtain more conservative results. Blank values for INPs active at −10 °C were on average 0.11 INPs · ml−1, with only 7 blanks showing some freezing activity on a total of 39 blanks analysed.
δ 18O analysis and modelling of f V values
Aliquots of snow (equivalent to about 5 ml of water) were immediately loaded from the sampling tin into 15 ml sealed polypropylene Falcon tubes and stored at 4 °C until analysis with a tunable, off-axis integrated-cavity laser spectrometer (DLT−100, Los Gatos Research, Inc. (LGR), Mountain View, California). Standards used for calibration were provided by LGR and all results presented here were related to the standard VSMOW. The local meteoric water line obtained from the whole set of yearly data fits well with the equation associated to the global meteoric water line (δ2H = 7.7 δ18O + 10.6; R2 = 0.98). This indicates the absence of significant disequilibrium conditions at Jungfraujoch compared to the global behaviour of precipitations. The remaining water vapour fraction (fV) was calculated from δ18O‰ values measured in snow (δL) following the method described in Rowley 200119.
The evolution of δ18O in vapour (δV) can be described by a Rayleigh-type fractionation model21,32:
In our calculations, the fractionation factor from liquid to vapour αL/V along the trajectory of the cloud was assumed constant during the entire path of a precipitating cloud and proportional to the average value between the temperature of the air at Jungfraujoch and the estimated temperature at the sea surface from where the air mass originated. The dependence of αL/V from absolute temperature (T) was calculated according to Majoube 197133:
The isotopic ratio of the vapour at Jungfraujoch (δV) was calculated from the isotopic ratio of snow (δL) and the fractionation factor liquid-vapour at the temperature of the air recorded at the station:
Seawater was considered the principal and constant source of moisture in calculating the isotopic ratio of the initial water vapour (δV,0):
with the isotopic δ18O ratio of seawater (δL,0) homogeneously equal to 0‰, since it coincides with the standard reference for water stable isotopes measurements and the fractionation factor between seawater and vapour αV/L, equal to 1/αL/V. Over the year, the station is affected by intermittent influence of the boundary layer34, with air masses coming from different geographical regions and its location in a saddle allows air systems to be channelled along two main directions, mainly North-West and South-East35. Vapour source regions were derived from source sensitivity plots calculated with a Lagrangian particle dispersion model and made available online by Stephan Henne at the Swiss Federal Laboratories for Materials Science and Technology (EMPA), Dübendorf, Switzerland (individual results are available on the webpage http://lagrange.empa.ch/FLEXPART_browser/). The surface average temperatures of source areas in the North Atlantic and the Mediterranean Sea were derived from a National Oceanic and Atmospheric Administration NOAA database (http://www.nodc.noaa.gov/OC5/indprod.html), grouped per season, and used to calculate αV/L.
A constant relative humidity factor (h) of 0.8 was used for the North Atlantic and for Mediterranean Sea, a value reasonably analogous to those recently reported in Pfahl 201436 since the local meteoric water line shows a deuterium excess comparable to the average precipitations on Earth. Consequently, αV/L values were corrected for disequilibrium processes occurring during evaporation from the sea, which tend to increase isotopic fractionation, according to the relationship37:
Obtained values for δV,0 ranged from −13.76‰ (North Atlantic, winter) to −12.16‰ (Mediterranean Sea, summer), comparable to what is reported in IAEA 200118,37.
Total number of particles N>0.5
The total number of particles with a diameter larger 0.5 μm (N>0.5) was measured with an optical particle counter (GrimmTM, Dust Monitor 1.108). Particles up to 40 μm size are aspired through a heated sample inlet, dried and detected, even when activated as cloud condensation nuclei and part of hydrometeors or ice38,39. Since the values of N>0.5 correspond to unit volume of air, a conversion of INPs per ml of snow into INPs per m3 of air was necessary in order to calculate the ratio INPs−10/N>0.5 presented here. By dividing the precipitation rate measured with the sampling tin by an average deposition velocity of snowflakes (1 m · s−1)40,41, we obtained a value for the snow water equivalent present in 1 m3 of air for each sampling interval. A median of 0.25 ml · m−3 of snow water equivalent was obtained, well within the range reported by Muhlbauer 201042 and by Deguillaume 201443.
Statistics
Statistical analyses presented here were done with PAST software version 2.1744 and refined with the use of R software version 3.0.1.45. Parametric regression was done on logarithmic values of INPs as correction for normality to understand how much of the total variability was covered by our tests and R2 values have been reported. These results are accompanied by non-parametric Spearman’s correlation results (r coefficient and p values expressing the probability that variables are not correlated), as a more robust test for the significance of the relationships found. For the comparison among months for the values of INPs a Kruskal-Wallis test was done.
Additional Information
How to cite this article: Stopelli, E. et al. Ice nucleation active particles are efficiently removed by precipitating clouds. Sci. Rep. 5, 16433; doi: 10.1038/srep16433 (2015).
Acknowledgments
We are grateful to the International Foundation for High Altitude Research Stations Jungfraujoch and Gornergrat (HFSJG) for making it possible for us to do our measurements at Jungfraujoch, and to Mark Rollog for the analyses of stable isotopes ratios in snow water. We thank MeteoSwiss for providing data on meteorological conditions at the observatory Jungfraujoch, and Dr. Stephan Henne (EMPA) for high-resolution particle transport simulations (FLEXPART) which enabled us to identify the main source regions of air masses. The work reported here was supported by the Swiss National Science Foundation (SNF) through the grant 200021_140228. Measurements of total solid particles were performed by Paul Scherrer Institute in the framework of the Global Atmosphere Watch (GAW) programme funded by MeteoSwiss with further support provided by the European FP7 project BACCHUS (grant agreement no. 49 603445).
Footnotes
Author Contributions E.S. and F.C. did the field measurements at Jungfraujoch on the abundance of INPs, analysed and interpreted the stable isotope data and wrote the manuscript. E.H. and N.B. provided data and support for the interpretation of the concentrations of N>0.5 at Jungfraujoch. C.M. and C.A. provided strong conceptual frameworks and contributed to writing the paper.
References
- Mülmenstädt J., Sourdeval O., Delanoë J. & Quaas J. Frequency of occurrence of rain from liquid-, mixed-, and ice-phase clouds derived from A-Train satellite retrievals. Geophys. Res. Lett. 42, 6502–6509 (2015). [Google Scholar]
- Phillips V. T. J., Choularton T. W., Illingworth A. J., Hogan R. J. & Field P. R. Simulations of the glaciation of a frontal mixed-phase cloud with the Explicit Microphysics Model. Q. J. R. Meteorol. Soc. 129, 1351–1371 (2003). [Google Scholar]
- Möhler O., Demott P. J., Vali G. & Levin Z. Microbiology and atmospheric processes: the role of biological particles in cloud physics. Biogeosciences 4, 1059–1071 (2007). [Google Scholar]
- Creamean J. M. et al. Dust and biological aerosols from the Sahara and Asia influence precipitation in the western US. Science 339, 1572–1578 (2013). [DOI] [PubMed] [Google Scholar]
- Christner B. C. et al. Geographic, seasonal, and precipitation chemistry influence on the abundance and activity of biological ice nucleators in rain and snow. Proc. Natl. Acad. Sci. USA. 105, 18854–18859 (2008). [DOI] [PMC free article] [PubMed] [Google Scholar]
- Christner B. C., Morris C. E., Foreman C. M., Cai R. & Sands D. C. Ubiquity of biological ice nucleators in snowfall. Science 319, 1214 (2008). [DOI] [PubMed] [Google Scholar]
- Joly M. et al. Quantification of ice nuclei active at near 0 °C temperatures in low-altitude clouds at the Puy de Dôme atmospheric station. Atmos. Chem. Phys. 14, 8185–8195 (2014). [Google Scholar]
- Murray B. J., O’Sullivan D., Atkinson J. D. & Webb M. E. Ice nucleation by particles immersed in supercooled cloud droplets. Chem. Soc. Rev. 41, 6519–6554 (2012). [DOI] [PubMed] [Google Scholar]
- O′Sullivan D. et al. The relevance of nanoscale biological fragments for ice nucleation in clouds. Sci. Rep. 5, 1–7 (2015). [DOI] [PMC free article] [PubMed] [Google Scholar]
- Pummer B. G. et al. Ice nucleation by water-soluble macromolecules. Atmos. Chem. Phys. 15, 4077–4091 (2015). [Google Scholar]
- Hoose C., Kristjansson J. E. & Burrows S. M. How important is biological ice nucleation in clouds on a global scale? Environ. Res. Lett. 5, 1–7 (2010). [Google Scholar]
- Morris C. E. et al. Bioprecipitation: a feedback cycle linking Earth history, ecosystem dynamics and land use through biological ice nucleators in the atmosphere. Global Change Biol. 20, 341–351 (2014). [DOI] [PubMed] [Google Scholar]
- Prenni A. J. et al. Relative roles of biogenic emissions and Saharan dust as ice nuclei in the Amazon basin. Nature Geosci. 2, 402–405 (2009). [Google Scholar]
- Chongyi E. et al. Different responses of different altitudes surrounding Taklimankan Desert to global climate change. Environ. Geol. 56, 1281–1293 (2008). [Google Scholar]
- DeMott P. J. & Prenni A. J. New Directions: Need for defining the numbers and sources of biological aerosols acting as ice nuclei. Atmos. Environ. 44, 1944–1945 (2010). [Google Scholar]
- Conen F. & Leifeld J. A new facet of soil organic matter. Agric. Ecosyst. Environ. 185, 186–187 (2014). [Google Scholar]
- Sodemann H. & Zubler E. Seasonal and inter-annual variability of the moisture sources for Alpine precipitation during 1995-2002. Int. J. Climatol. 30, 974–961 (2010). [Google Scholar]
- International Atomic Energy Agency IAEA, Environmental isotopes in the hydrological cycle. Principles and applications. Vol. 2. Atmospheric water. (2001) Available at: http://www-naweb.iaea.org/napc/ih/IHS_resources_publication_hydroCycle_en.html (Accessed: 12th Ferbuary 2015).
- Rowley D. B., Pierrehumbert R. T. & Currie B. S. A new approach to stable isotope-based paleoaltimetry: implications for paleoaltimetry and paleohypsometry of the High Himalaya since the Late Miocene. Earth Planet. Sci. Lett. 188, 253–268 (2001). [Google Scholar]
- Moran T. A., Marshall S. J., Evans E. C. & Sinclair K. E. Altitudinal Gradients of Stable Isotopes in Lee-Slope Precipitation in the Canadian Rocky Mountains. Arct. Antarct. Alp. Res. 39, 455–467 (2007). [Google Scholar]
- Sinclair K. E., Marshall S. J. & Moran T. A. A Lagrangian approach to modelling stable isotopes in precipitation over mountainous terrain. Hydrol. Process. 25, 2481–2491 (2011). [Google Scholar]
- Limpert E. et al. Data, not only in aerobiology: how normal is the normal distribution? Aerobiologia 24, 121–124 (2008). [Google Scholar]
- DeMott P. J. et al. Predicting global atmospheric ice nuclei distributions and their impacts on climate. Proc. Natl. Acad. Sci. USA. 107, 11217–11222 (2010). [DOI] [PMC free article] [PubMed] [Google Scholar]
- Hammer E. et al. Investigation of the effective peak supersaturation for liquid-phase clouds at the high-alpine site Jungfraujoch, Switzerland (3580 m a.s.l.). Atmos. Chem. Phys. 14, 1123–1139 (2014). [Google Scholar]
- Phillips V. T. J., DeMott P. J. & Andronache C. An Empirical Parameterization of Heterogeneous Ice Nucleation for Multiple Chemical Species of Aerosol. J. Atmos. Sci. 65, 2757–2783 (2008). [Google Scholar]
- Andronache, C. Estimated variability of below-cloud aerosol removal by rainfall for observed aerosol size distribution. Atmos. Chem. Phys. 3, 131–143 (2003). [Google Scholar]
- Schumann T. Aerosol and hydrometeor concentrations and their chemical composition during winter precipitation along a mountain slope-III. Size-differentiated in-cloud scavenging efficiencies. Atmos. Environ. 25A, 809–824 (1991). [Google Scholar]
- Santachiara G., Prodi F. & Belosi F. Atmospheric aerosol scavenging processes and the role of thermo- and diffusion-phoretic forces. Atmos. Res. 128, 46–56 (2013). [Google Scholar]
- Morris C. E., Monteil C. L. & Berge O. The life history of Pseudomonas syringae: Linking agriculture to Earth system processes. Annu. Rev. Phytopathol. 51, 85–104 (2013). [DOI] [PubMed] [Google Scholar]
- Conen F. et al. Atmospheric ice nuclei at the high-altitude observatory Jungfraujoch, Switzerland. Tellus B 67, 1–10 (2015). [Google Scholar]
- Stopelli E., Conen F., Zimmermann L., Alewell C. & Morris C. E. Freezing nucleation apparatus puts new slant on study of biological ice nucleators in precipitation. Atmos. Meas.Tech. 7, 129–134 (2014). [Google Scholar]
- Yamanaka T., Tsujimura M., Oyunbaatar D. & Davaa G. Isotopic variation of precipitation over eastern Mongolia and its implication for the atmospheric water cycle. J. Hydrol. 333, 21–34 (2007). [Google Scholar]
- Majoube M. Fractionnement en oxygène-18 et en deuterium entre l’eau et sa vapeur. J. chem. Phys. 197, 1423–1436 (1971). [Google Scholar]
- Ketterer C. et al. Investigation of the Planetary Boundary Layer in the Swiss Alps Using Remote Sensing and In Situ Measurements. Bound-Lay. Meteorol. 151, 317–334 (2014). [Google Scholar]
- Collaud Coen M. et al. Aerosol climatology and planetary boundary influence at the Jungfraujoch analyzed by synoptic weather types. Atmos. Chem. Phys. 11, 5931–5944 (2011). [Google Scholar]
- Pfahl S. & Sodemann H. What controls deuterium excess in global precipitation? Clim. Past. 10, 771–781 (2014). [Google Scholar]
- International Atomic Energy Agency IAEA, Environmental isotopes in the hydrological cycle. Principles and applications. Vol. 3. Surface water. (2001) Available at: http://www-naweb.iaea.org/napc/ih/IHS_resources_publication_hydroCycle_en.html (Accessed: 12th Ferbuary 2015).
- Weingartner E., Nyeki S. & Baltensperger U. Seasonal and diurnal variation of aerosol size distributions ( 10 < D < 750 nm ) at a high-alpine site (Jungfraujoch 3580 m asl). J. Geophys. Res. 104, 809–826 (1999). [Google Scholar]
- World Meteorological Organisation (WMO)/Global Atmospheric Watch (GAW), Aerosol Measurement Procedures. Guidelines and Recommendations. (2003) Available at: http://www.wmo.int/pages/prog/gcos/documents/gruanmanuals/GAW/gaw153.pdf (Accessed: 12th February 2015).
- Zawadzki I., Jung E. & Lee, G. Snow Studies. Part I: A Study of Natural Variability of Snow Terminal Velocity. J. Atmos. Sci. 67, 1591–1604 (2010). [Google Scholar]
- Szyrmer W. & Zawadzki I. Snow Studies. Part II: Average Relationship between Mass of Snowflakes and Their Terminal Fall Velocity. J. Atmos. Sci. 67, 3319–3335 (2010). [Google Scholar]
- Muhlbauer A. et al. Intercomparison of aerosol-cloud-precipitation interactions in stratiform orographic mixed-phase clouds. Atmos. Chem. Phys. 10, 8173–8196 (2010). [Google Scholar]
- Deguillaume L. et al. Classification of clouds sampled at the puy de Dôme (France) based on 10 yr of monitoring of their physicochemical properties. Atmos. Chem. Phys. 14, 1485–1506 (2014). [Google Scholar]
- Hammer Ø., Harper D. A. & Ryan P. D. PAST: PAleontological STatistics software package for education and data analysis. Paleontol. Electron. 4. (2001) Available at: http://palaeo-electronica.org/2001_1/past/issue1_01.htm (Accessed: 12th February 2015). [Google Scholar]
- R Development Core Team, A Language and Environment for Statistical Computing. (2011) Available at: http://www.R-project.org (Accessed: 12th February 2015).