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Twenty years of European mountain permafrost dynamics—the PACE legacy

This paper reviews and analyses the past 20 years of change and variability of European mountain permafrost in response to climate change based on time series of ground temperatures along a south–north transect of deep boreholes from Sierra Nevada in Spain (37°N) to Svalbard (78°N), established between 1998 and 2000 during the EU-funded PACE (Permafrost and Climate in Europe) project. In Sierra Nevada (at the Veleta Peak), no permafrost is encountered. All other boreholes are drilled in permafrost. Results show that permafrost warmed at all sites down to depths of 50 m or more. The warming at a 20 m depth varied between 1.5 °C on Svalbard and 0.4 °C in the Alps. Warming rates tend to be less pronounced in the warm permafrost boreholes, which is partly due to latent heat effects at more ice-rich sites with ground temperatures close to 0 °C. At most sites, the air temperature at 2 m height showed a smaller increase than the near-ground-surface temperature, leading to an increase of surface offsets (SOs). The active layer thickness (ALT) increased at all sites between c. 10% and 200% with respect to the start of the study period, with the largest changes observed in the European Alps. Multi-temporal electrical resistivity tomography (ERT) carried out at six sites showed a decrease in electrical resistivity, independently supporting our conclusion of ground ice degradation and higher unfrozen water content.


Introduction
Permanently frozen ground is a globally widespread phenomenon with a coverage of more than 15% over the Northern Hemisphere land surface (Obu et al 2019). Permafrost is thermally defined, with ground temperatures in the lithosphere required to be below 0 • C over at least two consecutive years (van Everdingen 1998). During the last few decades, permafrost has faced increased attention, especially in relation to the permafrost-climate feedback associated with the release of greenhouse gases like carbon dioxide and methane due to thawing and decomposition of formerly frozen organic material (e.g. Schuur et al 2015). Mountain permafrost in Europe occupies barren ground, steep bedrock slopes, block fields, debris slopes or, if previously glaciated, driftcovered slopes and glacier fore-fields, and is normally relatively low in ice content or organic material compared to the permafrost in Arctic lowlands. Exceptions are certain landforms, such as rock glaciers, coarse scree deposits or bogs in sub-arctic maritime mountain regions in the form of palsas and peat plateaus.
The potential impact of atmospheric warming on mountain permafrost and the influence on slope stability in alpine terrain was hardly recognized before the 1990s (Haeberli 1992). With the expansion of tourism and building of infrastructure such as cable car stations/masts and tourist facilities in the Alps, global warming has influenced the consciousness of permafrost distribution and its thermal regime in high-mountain settings. There has been a demand for increased knowledge of (1) mountain permafrost distribution, (2) permafrost thermal state and thickness, and (3) how permafrost would respond in a changing climate.
These questions triggered a European research initiative that included researchers from the United Kingdom, Germany, Switzerland, Norway, Sweden, Italy and Spain in 1998, resulting in the EU-funded PACE ('Permafrost and Climate in Europe') project, followed by the European Science Foundation network PACE-21 initiative, both co-ordinated by Prof. Em. C. Harris, University of Cardiff, UK. The three major objectives of the PACE project were related to monitoring ground temperatures in a latitudinal borehole transect, method development for mapping and modelling mountain permafrost, and hazard assessment following possible permafrost degradation (Harris et al 2009).
In terms of method development, the focus was set to non-invasive geophysical investigations (Vonder Mühll et al 2001, Hauck et al 2001, 2004 and development of numerical modelling schemes for permafrost distribution (Etzelmüller et al 2001, Hoelzle et al 2001. Regarding geophysical monitoring, a baseline for continuous or regularly repeated electrical resistivity and seismic tomography monitoring was established, both in the Alps (Hauck 2002, Hilbich et al 2008 and, to a minor extent, in Norway (Hauck et al 2004, Isaksen et al 2011. Such installations were crucial to understanding the change of subsurface conditions in terms of ice and water content, which follows changing environmental forcing. Despite the short time series available at the start in the year 2000, all PACE sites from the Alps through Scandinavia to Svalbard provided geothermal evidence for regional-scale secular warming, with the greatest warming in Svalbard (Harris et al 2003, Isaksen et al 2007. The PACE borehole in southern Spain showed no permafrost; however, isolated patches were found in shaded northerly slopes that were glaciated during the Little Ice Age (Gómez-Ortiz et al 2019).
This paper analyses the last 20 years of change and variability of permafrost in European mountains based on the borehole infrastructure and data series established in the framework of the PACE project, along with an evaluation of sub-surface conditions and changes in ice content derived from multiple electrical resistivity tomography (ERT) surveys.

PACE borehole transect
The borehole monitoring network consists of seven boreholes which are at least 100 m deep and form a north-south transect from Svalbard to Spain (figure 1, suppl. table 1 (available online at stacks.iop.org/ERL/15/104070/mmedia)), stretching from 78 • N to 37 • N. The boreholes in Janssonhaugen (Svalbard (N)) and Stelvio Pass (Italian Alps (I)) were drilled in 1998, the Juvvasshøe borehole (southern Norway (N)) was drilled in 1999, while the boreholes in Switzerland (CH), Sweden (S) and Spain (E) were drilled and instrumented in 2000.
All boreholes are drilled well above the treeline, on mountain summits or plateaus in bedrock, and overlain by regolith or weathered bedrock with a thickness of up to 4 m. The bedrock types vary between finegrained sedimentary and massive metamorphic rocks (suppl. table 1). The mean annual air temperature (MAAT) at the sites ranges from -7 • C on Svalbard, via −3 to −6 • C in Scandinavia and the European Alps, to 0 • C at the summits of the Sierra Nevada (E). The boreholes were instrumented with thermistor strings attached to data logging equipment or individual miniature temperature data loggers (MTDs), following standardised procedures to ensure comparability between sites (Harris et al 2001). One 60 m deep borehole drilled in 1987 at Murtèl-Corvatsch in the Eastern Swiss Alps (Haeberli et al 1999) was also included in the PACE project. This borehole was drilled into a rock glacier, and today comprises the longest time series of permafrost ground temperatures in the Alps (PERMOS 2019).
All borehole sites have automatic weather stations adjacent to the boreholes. They measure standard key parameters of the atmosphere (SAT-surface air temperatures measured 2 m above ground) and near the ground surface (GST-ground surface temperatures measured between 2 cm and 5 cm into the ground), some including snow depth (the Swiss sites) and radiation (by four-component net radiometers). GST is measured either by separate MTDs, usually with a resolution better than ±0.1 • C, or by the uppermost thermistor within the borehole. Most boreholes are protected by a concrete chamber, and tests in Norway and Switzerland indicate that GST measurements on the ground surface are slightly cooler (<0.5 • C annual average) than the 0.2 m depth thermistor string level in boreholes. We accept this deviation in our further aggregated analysis.
To further characterise the ground ice in the permafrost at the individual sites and provide information on the spatial representativeness of the borehole data, non-invasive geophysical surveys (ERT, seismic refraction tomography, and electromagnetic induction surveys) were conducted at all sites (Hauck et al 2001, Vonder Mühll et al 2001. Of these techniques, the combination of ERT and seismic refraction in particular can be used to detect and quantify ground ice occurrences (Hauck et al 2004, Mollaret et al 2020. ERT, which is further used in this study, yields the electrical resistivity distribution of the subsurface by injecting a current, and measuring the resulting electrical potential differences along the profile. Seismic tomography yields the P-wave velocity distribution by using seismic shot points along the profile and measuring the resulting travel times of the seismic waves. High electrical resistivities are usually associated with frozen conditions and ground ice occurrences, whereas low electrical resistivities indicate high liquid water content and unfrozen conditions. Repeated ERT surveys therefore give information about important changes in water/ice content in the ground, which cannot be detected by ground temperature measurements due to the effects of latent heat (Hauck 2002). These surveys enable the determination of whether a site is spatially homogeneous or heterogeneous in terms of subsurface sediment/bedrock distribution and ice content, as each material has different values in electrical resistivity and seismic Pwave velocity.
Profile lengths were between 200 m and 500 m, with a penetration depth of up to 30 m. A first permanent monitoring line with fixed electrodes was established in 1999 at the Schilthorn (CH) site (Hauck 2002), and later an automatized measurement set-up as well as coincident seismic monitoring on a yearly basis were added (Hilbich 2010). Since 2006 regular ERT monitoring has also been conducted along profiles at Stockhorn (CH) and Murtèl-Corvatsch (CH) (Hilbich et al 2008, Mollaret et al 2019), which are operationally included in the Swiss permafrost monitoring network (PERMOS 2019). Geophysical results are validated at the PACE borehole locations using all additional data available along the profile lines such as spatial soil moisture data and additional boreholes (Pellet et al 2016, Mollaret et al 2020.

Climate change trends in European mountain regions between 1981 and 2018
Near-surface air temperatures (SAT) in Europe have increased since the instrumental record began around 1860. The temperature increase has been especially pronounced over the last four decades (figure 2(a)). Since 1981 the average SAT for the European land area has increased by 0.45 • C dec −1 from an average value of + 8.8 • C for the domain (European Environmental Agency, data from June 2019). During the '20 year PACE period' (1999-2019), the SAT was 0.6 • C higher compared to the 1981-2010 normal period and 1.6 • C above the pre-industrial level, which makes it the warmest 20-year period on record. The years 2014-2018 are ranked as the five warmest years on record for the European land area. Observed SAT trends obtained from the official weather stations near the PACE sites range from 1.4 • C dec −1 at Svalbard Airport to below 0.5 • C dec −1 at all other sites (figure 2(a), table 1).
The regional characteristics of the European temperature anomalies for 1999-2018 show that Europe has warmed, and the SAT anomaly for this period is four times larger in the high-Arctic Svalbard and about twice as large in the sub-Arctic alpine site in northern Sweden compared to southern Scandinavia and the Alps (figure 2(b)), especially during winter (figure 2(c)). Long-lasting extreme warm spells dom- Precipitation changes over the last decades are less well quantified than temperature changes, and they are often more heterogeneous in mountain regions (Hock 2019). Since 1961 winter (DJF) precipitation in Norway has increased by 5.8% dec −1 (MET Norway, https://www.met.no/vaer-og-klima/klima-siste-150-ar), while for Switzerland a slight increase of 0.7% dec −1 has been observed (MeteoSwiss, https ://www.meteoswiss.admin.ch/home/climate/climatechange-in-switzerland/temperature-and-precipitatio n-trends.html). Although trends in total or solid precipitation at high elevations are highly uncertain (Hock 2019), a winter precipitation decrease of about 0.3% dec −1 has been found at high elevations in Switzerland (Marty et al 2017). In the high mountain regions of Norway the higher winter precipitation since 1961 has led to increased snow accumulation (Dyrrdal et al 2012) and a later end to the snow season (Rizzi et al 2018). In contrast to Norway, snow accumulation, especially in spring, is decreasing in the Alps even at the highest locations because of decreasing precipitation amounts (Marty et al 2017).

Development of snow cover and ground surface temperature at the PACE sites
The trend for ground surface temperatures (GSTs) is positive for all sites (figure 3) and varies between 0.2 • C dec −1 and 0.9 • C dec −1 , which in general is two to three times higher than the SAT trend (table  1). At the Swiss sites this is true even though the maximum annual snow heights do not show any significant trends during the 20-year period (suppl. Figure 2). The exception is Veleta Peak (E), where GST decreased with a rate of −0.3 • C dec −1 , indicating a decrease in snow cover during winters. Analysing the first and last day of snow for each winter along with the number of snow days for the Swiss sites (suppl. Figure 2), a reduction in annual snow-cover duration between 0 d dec −1 and 15 d dec −1 is observed. The same applies at all sites for the number of thawing days each year, where we calculate an increase of up to 10 d dec −1 (suppl. Figure 3). GST thawing (TDD) and freezing degree days (FDD) through the hydrological year follow the same pattern, with general decreasing FDD trends (between −35 • C d dec −1 and −470 • C d dec −1 ) and increasing TDD trends between +17 • C d dec −1 and +124 • C d dec −1 (table 1, figure 3).

Ground thermal regime
The depth of the zero annual amplitude (ZAA) was similar across the sites, with values between 15 m and 20 m (figure 4(a)). Rising ground temperatures were observed at all PACE sites since 2000 down to depths of c. 50 m ( figure 4(b)). In 2018, record-high ground temperatures occurred at 50 m depth (figures 4(a), (b)), with the exception of Stockhorn (CH) and Murtèl-Corvatsch (CH), where the warmest year was 2015, followed by a temporary cooling due to a couple of winters with very late snow cover. At 20 m depth the warming rate varied between +0.2 • C dec −1 (Schilthorn, CH) and +0.8 • C dec −1 (Janssonhaugen, N) (figures 4(c), (d)). The warming trend is particularly pronounced at colder sites, e.g. at Janssonhaugen (Svalbard) and Stockhorn (CH). At sites with ground temperatures close to 0 • C, e.g. Schilthorn (CH), latent heat consumption upon thawing perturbs the temperature signal and ongoing changes in permafrost conditions can hardly be detected based Table 1.   on temperature measurements alone. Finally, Tarfalaryggen (S) shows a pronounced ground temperature (GT) increase, and the site is now warmer than Juvvasshøe (N) at both 10 m and 20 m depth. This is probably related to the period 2010-2013, in which very cold winters occurred especially in southern Scandinavia, cooling the Juvvasshøe ground temperatures, while ground temperatures continued to increase at Tarfalaryggen (S).
At the non-permafrost site Veleta Peak (E), we observe a cooling trend of −0.2 • C dec −1 since 2002 (Oliva et al 2016), which is in alignment with the decreasing GST and probably related to shorter or lack of snow cover during winter due to higher SAT or higher winter sublimation (Herrero et al 2016). Thus, at warmer and more southerly sites, including many Mediterranean mountains, the reduction in the thickness and persistence of the winter snow cover may keep ground temperatures more constant or even cool the ground despite increasing SAT.
The ALT, here determined by linear interpolation of the 0 • C isotherm based on daily ground . Freezing and thawing degree days (FDD, TDD) along with average GST trends calculated over an annual season (September to August). At all sites, besides Veleta Peak, we observe a warming trend for GST and a clear reduction of FDD during the measurement period. The most pronounced trends are observed on Janssonhaugen/Svalbard (N, see table 1). At most sites the inter-annual variation of FDD is higher than that of TDD. DD = degree days. temperature data at different depths in boreholes, increased during the monitoring period for all permafrost sites. The increase varied between 0.12 m and 4 m (figures 5(a), (b)), which corresponds to between 5% and 70% in relation to the mean ALT over the study period (figures 5(c), (d)). The Swiss sites showed more pronounced active layer thickening in spite of similar or lower warming rates at the ground surface ( figure 5(d)). This is likely related to additional processes affecting the local thermal conditions (advective heat transport, radiation balance). Particularly for Schilthorn (CH), such an additional impact on the increase in SAT is likely. The ALT more than doubled during the PACE period from 4.4 m in 1999 to 10 m in 2019 ( figure 5(b)), while the SAT increase per year was +0.045 for the same 20-year period (PERMOS 2019).

Changing subsurface conditions based on geophysical investigations
The repeated ERT surveys showed a general trend of decreasing resistivity corresponding to an ice content decrease or a liquid water content increase (figure 6). The negative resistivity change is most pronounced for Stockhorn and Schilthorn (both CH), with a total decrease of >12% and 5%, respectively, between the first and the last measurement. The negative trend was less pronounced for the two profiles at Juvvasshøe (N, Juv-PACE and Juv1) with a reduction of resistivities between −0.2% and −3%, and −2% at Murtèl-Corvatsch (CH). Hereby, the two ERT monitoring sites at Juvvasshøe (N), being c. 500 m apart, show different behaviour. This is probably due to the different surface material and the overall drying of the There is an increasing trend for all sites, which is more pronounced for the colder sites. While at 20 m depth we mainly observe warming, at 10 m depth cool seasons can delay warming trends. resistivity profile at the Juvvasshøe borehole. The drying of degraded permafrost sites often leads to an increase of resistivities despite a decrease in ice content, which has been described earlier at Juvvasshøe (N) (Isaksen et al 2011).
Here we also show the mean resistivity values for the ice cores of two rock glaciers in Sierra Nevada (Veleta Cirque, E) and Stelvio (I), respectively, less than 1 km away from the respective boreholes ( figure 6). Both profiles were first measured in 1999 and re-measured in 2018/2019. The three rock glaciers (Murtèl-Corvatsch (CH), Veleta Cirque (E) and Stelvio (I)) consistently show the highest overall resistivity values, indicating ice-supersaturated conditions. While the rock glaciers in Veleta Cirque (−3%) and Murtèl Corvatsch (−2%) have not exhibited strong resistivity changes over the past 20 years, the resistivity values clearly decreased in the ice core of the Stelvio rock glacier by a similar magnitude to those observed in the other PACE profiles in the Swiss Alps (−10%). However, at the Veleta rock glacier, surface lowering was clearly detected by geodetic measurements (Gómez-Ortiz et al 2019), which is attributed to ice loss. For massive ice bodies, resistivity changes are expected to be smaller than for sites with less ground ice, as the blocky surface layer of rock glaciers effectively insolates the permafrost, and ice-rich permafrost is more inert.
Resistivity at Schilthorn (CH) decreased throughout the entire investigation depth of the ERT profile (~12 m) indicating a profound permafrost degradation and a general wetting of the ground. This observation is probably due to the generally high amount of available snowmelt water and the larger potential water storage in the now unfrozen sediment part of the slope (Mollaret et al 2019). At Stockhorn (CH), strong resistivity decreases have been observed in the uppermost permafrost layer during recent years. This decrease indicates an increasing unfrozen water content in the warming permafrost and is, in contrast to Schilthorn, spatially less uniform due to more heterogeneous ground conditions.  Biskaborn et al (2019) report an average increase of c. +0.2 • C dec −1 at the depth of ZAA for mountain regions, which is similar to our data set outside Svalbard. In Svalbard, we obtained a warming trend of +0.8 • C dec −1 at the ZAA (figures 4(c), (d)). We observe greatest warming at the colder sites, which aligns with the general global pattern described for other regions such as from the Arctic lowland permafrost areas in North America and Russia (Romanovsky et al 2010). While clear warming and cooling trends are visible above 10 m depth, following interannual climate variability, at larger depths a temporary cooling is only visible at Murtèl-Corvatsch and Stockhorn after 2015 (both CH) due to snowpoor winters. It is evident that the last years were the warmest on record at all sites. Independently reconstructed GST by inversion of temperature data from a deep borehole drilling near Stelvio Pass (I) revealed the strongest warming per decade between 1990 and 2011 (>0.8 • C dec −1 ) since 1500 AD (Guglielmin et al  2018). Finally, the decreasing resistivity (ERT) trend matches the atmospheric warming since the start of the PACE project, and independently confirms permafrost degradation by substantial ice loss.
An interesting observation is the identification of warm and cold periods in the permafrost, which occurred in different years in northern and central/southern Europe. Especially warm summers, like the summers of 2003 and 2015 in central Europe, led to extreme thawing of the active layer, and a reduction of ice content in the ground, as observed at e.g. Schilthorn (Hilbich et al 2008, Mollaret et al 2019. The loss of ground ice is not necessarily recovered in the following years, even if ALT may 'normalise' after such events (Hilbich et al 2008). Cool summers and winters, like the couple of years after the period between 2010 and 2015 in Scandinavia, led to a significant cooling in the upper permafrost layers; however, the period was too short to reverse the increasing ground temperature trend at depth (figure 4(a)). Thus, the inter-annual ground temperature variations are not simultaneous in the Alps and the northern mountain areas.
It is evident from our observations that changes in snow conditions are major drivers of the observed differences and trends at the study sites. We find at almost every site that GST increases at a higher rate than SAT. This implies a change of the buffer layer effect by snow and/or vegetation dynamics. There seems to be no trend in snow thickness; however, snow-cover duration is shortened where measurements are available, therefore amplifying non-linear processes such as albedo feedbacks affecting surface temperatures and leading to corresponding strong ground thermal reactions. Related to this is the length of the thawing season, which increased at all sites. This dynamic obviously influences the GST and in turn the near-surface permafrost temperatures, as investigated using physically based models . A decreasing trend in snowfall days has been reported in comparison to total winter precipitation days (Serquet et al 2011), as well as an increase in rain-on-snow events during recent decades (Beniston 2005, Hansen et al 2014, Vikhamar-Schuler et al 2016. These events have a long-lasting warming impact on near surface ground temperatures because of latent heat release during refreezing of rain (Westermann et al 2011).
Differences along the latitudinal transect are also related to the SO, which is generally higher at the sites  in the Alps and in southern Spain (SAT-GST = −2.8 • to −5.5 • C during winter) than at the sites in Scandinavia (−2 • C to −0.5 • C) (suppl. figure 3). This is probably related to a thicker snow cover and stronger shortwave radiation. The meteorological observations at the Stockhorn, Schilthorn and Murtèl-Corvatsch sites (all CH) reveal that Stockhorn receives more incoming shortwave than longwave radiation in comparison to Schilthorn and Murtèl-Corvatsch. As shortwave radiation has a pronounced impact on the GST and the corresponding GT below when the ground is snow-free, the resulting SO will become larger in comparison to the other sites where SAT and the corresponding incoming longwave radiation is dominant (Hoelzle et al, unpubl. data.). The development of the ALT is in line with this observation, as it is larger and has deepened more at the sites in the Alps (>10% in relation to mean ALT) than at the northern sites (<10%).

Legacies of the PACE project
The PACE boreholes and data derived from the project triggered (1) the development of numerical modelling in permafrost areas and (2) the development of observation of permafrost change through noninvasive geophysical methods.
Concerning numerical modelling, the PACE boreholes in Europe provide a baseline for calibration and validation of permafrost distribution and evolution models. Ground temperature monitoring is the only explicit thermal ground truth for mountain permafrost, besides morphological evidence such as rock glaciers and palsa mounds. Any kind of thermal modelling efforts are thus dependent on reliable long-term monitoring stations (e.g. Ekici et al 2015, Pruessner et al 2018. Mountain permafrost modelling approaches during the 1990s were dominated by empirical models based on bottom temperature of snow cover (BTS) measurements. With the PACE project, transient permafrost evolution and process model development was initiated in Europe (Hoelzle et al 2001, Etzelmüller et al 2001, undoubtedly improving the understanding of specific mountain permafrost processes (Scherler et al 2014, Wicky and Hauck 2017. Concerning geophysical methods, the PACE initiative for the first time established geophysical surveying and monitoring principles within mountain permafrost science. The feasibility of using ERT surveys as a standard method to non-invasively and spatially detect permafrost occurrences was first established within the PACE project (Hauck and Vondermühll 1999). Subsequently, in a multitude of permafrost studies ERT was and still is applied for a large variety of objectives (Supper et al 2014, Kneisel et al 2014, Magnin et al 2015, Douglas et al 2015, Keuschnig et al 2017, including the long-term permafrost monitoring examples shown in figure 6 (Mollaret et al 2019).
The PACE project triggered an increased awareness of mountain permafrost research and problems related to changing environmental conditions in high-mountain settings (Harris et al 2009). During the project period and thereafter, some standards for monitoring of permafrost in mountains were developed, which later have been used in other projects, e.g. for borehole and geophysical monitoring , Farbrot et al 2011, Hilbich et al 2011, Mollaret et al 2019. The drilling of the Swiss boreholes initiated the formation of the Swiss Permafrost Monitoring Network PERMOS (PERMOS 2019) in the year 2000, which today manages the permafrost network there. In addition, in areas such as in southern Spain, no awareness about the existence of permafrost existed, and the results derived from the PACE borehole appearing in the media helped to disseminate and sensitise the public to the importance of permafrost for high-mountain Mediterranean ecosystems as well as its perception as a geo-indicator of climate change.

Conclusions
From this study the following conclusions can be drawn: • All boreholes along the European latitudinal transect have warmed since the start of this century, down to depths of 50 m. At 20 m depth, warming rates varied between +0.2 • C dec −1 and +0.8 • C dec −1 . • The ground temperature increase in the Arctic (Svalbard) is very pronounced. Measurements at the sites in Scandinavia and the Alps reveal slightly reduced warming, which is mainly related to latent heat effects caused by relatively higher ice contents and by SO effects. • In general, surface air temperature showed a smaller increase than ground surface temperature, while the SO increased during the measurement period. This seems to be associated with reduced snow cover duration. • The ALT increased at most sites, particularly at those in the European Alps. This might be associated with ice loss during extreme warm summers and generally higher summer temperatures.
ALT is largest at the sites in the European Alps, which seems to be associated with partly lower ice contents, higher shortwave surface insolation and advective heat transport effects due to warmer ground conditions. • Electrical resistivity tomography monitoring showed a decrease of specific electrical resistivity at all presented sites, indicating ice loss and/or higher unfrozen water content. The observed resistivity decrease seems more pronounced for ice-poor permafrost sites.
The PACE boreholes continue to act as a baseline for observing thermal changes in permafrost in European mountain areas. The sustainability of longterm monitoring is essential to documenting changes in high-mountain environments in the future. Only the combined efforts of long-term monitoring of ground temperatures and ice contents with the local observations of the microclimatic conditions at the different sites offer a much better insight into the permafrost dynamics since the first results from the PACE project were published.

Acknowledgments
The study is based on the co-operative work of the authors, who put together the various data sources related to the PACE transect boreholes. All authors contributed likewise, and the author list therefore is alphabetical. The first author (BE), together with KI, MH, JN, CHi and CHa, took the initiative to produce this summarising study. BE has co-ordinated the writing process and therefore serves as corresponding author. All authors affiliated to universities have received support for following up data monitoring from their respective home institutions. The study provided by KI and long-term permafrost monitoring at the two Nordic sites Janssonhaugen and Juvvasshøe were supported by the Norwegian Meteorological Institute. Permafrost data from Tarfalaryggen was provided by Profs. Peter Jansson and Per Holmlund, and the data are available through the Bolin Centre for Climate Research (https://bolin.su.se/). MO is supported by the Ramón y Cajal Program (RYC-2015-17597)  Professor Em. C. Harris (UK) was coordinator of the PACE project, enabling the international collaboration and the inspiration for our study. The different national groups participating in the PACE project were led by Professor W. Haeberli and Dr. D. Vonder Mühll (both CH), Professor J.L. Sollid (1932-2019) (N), Professor P. Holmlund (S), Professor F. Dramis (I), Professor L. King (D) and Professor D. Palacios (E). The manuscript was greatly improved by the review comments of Dr Louise Farquharson, University of Alaska Fairbanks (USA), an anonymous reviewer and the editor. We want to thank all mentioned persons and institutions.

Data statement
All the Swiss data are subject to the PERMOS Data Policy (open access), available online (via http://permos.ch/data.html). The latest DOI is 10.13093/permos-2019-01 and includes all data used in this study. For the other sites, the data that support the findings of this study are available from the corresponding author upon reasonable request.