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High-Resolution Observations of Transport and Exchange Processes in Mountainous Terrain

Mountainous areas require appropriate measurement strategies to cover the full spectrum of details concerning the energy exchange at the Earth’s surface and to capture the spatiotemporal distribution of atmospheric dynamic and thermodynamic fields over them. This includes the range from turbulence to mesoscale processes and its interaction. The surface energy balance needs appropriate measurement strategies as well. In this paper, we present an overview of important experiments performed over mountainous terrain and summarize the available techniques for flow and energy measurements in complex terrain. The description includes ground-based and airborne in situ observations as well as ground-based and airborne remote sensing (passive and active) observations. Emphasis is placed on systems which retrieve spatiotemporal information on mesoscale and smaller scales, fitting mountainous terrain research needs. Finally, we conclude with a short list summarizing challenges and gaps one faces when dealing with measurements over complex terrain.


Introduction
Mountainous areas contribute to the generation and modification of synoptic-scale and meso-scale atmospheric flows in various ways. For example, mountains deviate large-scale flows, excite orographic precipitation [1], and exerting gravity wave drag (see [2,3] for overviews). Both weather and climate modeling require a correct representation of these processes on all scales [4]. This correct representation has to take into account that mountains also significantly contribute to the modification of micrometeorological fluxes and energy budgets, because of the intimate interaction between boundary-layer structures and orographic features. Important international activities in the past (e.g., the Alpine Experiment (ALPEX) [5], the Pyrenees Experiment (PYREX) [6], the Southern Alps Experiment (SALPEX) [7], and the Mesoscale Alpine Programme (MAP) [8]) have addressed these issues. Especially the last one, MAP, has addressed atmospheric boundary layer issues in more detail [9]. Another important project, which included experiments related to transport and exchange over complex terrain, was TRACT (Transport and air pollutants over complex terrain, [10]). This latter project addressed the spectrum of processes which are relevant to describe the transport and turbulent • small-and meso-scale mountain induced flow patterns (slope winds, valley and mountain winds, and alpine pumping [13]); including their interaction • triggering and development of convection; including associated venting of energy and substances from the atmospheric boundary layer into the free troposphere • micrometeorological fluxes at elevated surfaces [14,15].
Horizontal homogeneity which has been the paramount assumption in so many boundary-layer exchange studies in the past decades (see, e.g., [16] or [17]) should no longer be considered appropriate. Neglecting horizontal gradients in the governing equations, which had led to marvelously simple equations and relations in boundary-layer meteorology, is not viable for future mountainous atmospheric research.
New mountain campaigns have to aim at investigating processes contributing to transport and exchange processes between mountainous terrain, the boundary layer, and the free atmosphere at all scales with emphasis on multi-scale interactions. These interactions between relatively well-known processes at meso-scale or synoptic scale and local scales must be much better established so as to assess the relative importance of the different processes in order to decide which of them need to be parameterized in numerical weather prediction and climate models. Moreover, the type of parameterizations should take into model resolution and specific modeling goals. The investigation of the 'small-scale end' (i.e., boundary-layer processes such as turbulent exchange, local flows, budgets, scaling approaches, and boundary-layer structures in complex topography) is just at its beginning.
The interaction of different scales in the atmosphere with various types of topographic features is not yet fully understood. This hampers even the identification of where to begin investigating the interactions from small-scale to larger-scale processes in complex terrain [18]. Some experimental and monitoring initiatives in recent years have already started to fill this gap. Among these are the American effort Mountain Terrain Atmospheric Modeling and Observations (MATERHORN) [19], the Catalan/Spanish and French effort Cerdanya-2017 [20,21], and the German ecosystem exchange program Terrestrial Environmental Observatories (TERENO), with four sites of which three are in complex terrain [22]. There had been even more detailed campaigns such as the Meteor Crater Experiment (METCRAX) in 2006 [23], METCRAX II in 2013 [24], and the Across Scales Experiment (ScaleX) at the alpine site of TERENO looking at very small scales in mountainous terrain [25]. The ScaleX experiment investigated the conditions for land-air exchange fluxes in a small valley north of the Alps using a large variety of both ground-based and airborne in situ and remote sensing instruments. The backbone of micrometeorological, hydrological and ecosystem-atmosphere exchange instrumentation used by ScaleX was formed by the permanent environmental TERENO-pre-Alpine observatory, with stations distributed along an elevation gradient in the pre-Alpine region. One of the driving research questions for this experiment is to understand why the surface energy balance has yet to be truly closed [26]. Further field campaigns over complex, mountainous terrain applying in-situ and remote sensing systems include: the Terrain-Induced Rotor Experiment (T-REX) in 2006 [27], the Convective and Orographically-induced Precipitation Study (COPS) in 2007 [28], the HYdrological cycle in the Mediterranean Experiment (HYMEX) in 2012 [29], and Passy-2015 (Passy is a city in the French Alps) [30,31]. Long-term measurements are performed in the Inn Valley in the Alps within the i-Box project to study turbulent exchange processes [32]. The image covers 24 h (UTC+1, from left to right) and a 660 m height interval from 40 m to 700 m above ground (from below to top). Green colors indicate lower reflectivity and red colors higher reflectivity. The thin black lines indicate borders between air layers within increasing potential temperature from lower to higher layers (adapted from [47]).
In contrast to flat, horizontally homogeneous terrain, the exchange and transport of moisture, heat, and mass are controlled not only by convection, but also by thermally induced mesoscale flows and synoptic scale flows [15]. Besides measuring the turbulent fluxes at the surface, it is thus essential to observe local flows and advection with the mean flow as well. Minimal required observations should include profile measurements of mean quantities such as moisture and temperature at several locations (e.g., in and above valleys, above slopes, and around ridges) along with good knowledge of the three-dimensional flow structure with an appropriate resolution. This poses challenges not only to the measurement techniques and instruments, but also to the coordination and infrastructure. Finding measurement sites in mountainous terrain is usually a compromise between the "best" site from a scientific point of view and feasibility (e.g., sites must be accessible, power supply has to be assured, and landowner permission is needed).

Surface Measurement Techniques
General guidelines and overviews on atmospheric measurement techniques at representative sites, which are usually located in flat or only gently rolling terrain, exist in excellent resources (e.g., [12,59]). But measurements to be conducted in mountainous terrain and other types of complex heterogeneous terrain (e.g., urban) face additional challenges related to spatial representativeness and the application of certain algorithms, which postulate horizontal homogeneity (e.g., [60]). Measurements need to monitor the state of the atmosphere and its variability in three dimensions The image covers 24 h (UTC+1, from left to right) and a 660 m height interval from 40 m to 700 m above ground (from below to top). Green colors indicate lower reflectivity and red colors higher reflectivity. The thin black lines indicate borders between air layers within increasing potential temperature from lower to higher layers (adapted from [47]).
In contrast to flat, horizontally homogeneous terrain, the exchange and transport of moisture, heat, and mass are controlled not only by convection, but also by thermally induced mesoscale flows and synoptic scale flows [15]. Besides measuring the turbulent fluxes at the surface, it is thus essential to observe local flows and advection with the mean flow as well. Minimal required observations should include profile measurements of mean quantities such as moisture and temperature at several locations (e.g., in and above valleys, above slopes, and around ridges) along with good knowledge of the three-dimensional flow structure with an appropriate resolution. This poses challenges not only to the measurement techniques and instruments, but also to the coordination and infrastructure. Finding measurement sites in mountainous terrain is usually a compromise between the "best" site from a scientific point of view and feasibility (e.g., sites must be accessible, power supply has to be assured, and landowner permission is needed).

Surface Measurement Techniques
General guidelines and overviews on atmospheric measurement techniques at representative sites, which are usually located in flat or only gently rolling terrain, exist in excellent resources (e.g., [12,59]). But measurements to be conducted in mountainous terrain and other types of complex heterogeneous terrain (e.g., urban) face additional challenges related to spatial representativeness and the application of certain algorithms, which postulate horizontal homogeneity (e.g., [60]). Measurements need to monitor the state of the atmosphere and its variability in three dimensions and need to cover a large range of spatial and temporal scales. For example, measurements of the radiation and energy balance have to account for the impact of local slopes (e.g., [61][62][63]) and precise knowledge of the temperature, humidity and wind distribution is necessary to estimate transport by advection. The following overview on measurement techniques will be stratified into in situ techniques and remote sensing.

In Situ Measurements
In situ data obtained at a limited number of sites will not be able to depict the full spatial variability of atmospheric fields in mountainous terrain, although they can monitor the full temporal variability at the selected sites if they have a sufficiently high temporal resolution. In situ measurements from moving ground-based measurement platforms such as cars can partly capture the spatial variability if the platform is sufficiently maneuverable. This may become very difficult and often impossible in steep and inaccessible terrain. Airborne platforms may be the only solution to this problem and are addressed in Section 4.

Surface Parameters
All classical atmospheric (e.g., wind, temperature, humidity) and surface (e.g., surface roughness, soil moisture, soil type, land use) meteorological variables known from flat terrain can be observed in mountainous regions as well. But roughness in complex terrain must be described as 'effective roughness length' which also comprises subgrid-scale orographic effects. A good approach to assess the magnitude of the effective roughness length is to choose it so that the additional pressure drag exerted by the subgrid-scale orographic features is included [64][65][66]. This must be accompanied by additional topographic data such as altitude, inclination of the surface, ruggedness of the terrain, sky-view factor, and other parameters which characterize the heterogeneity of the measurement site in more detail. Without such metadata, proper interpretation of the measured data is impossible.

Radiation
Individual components of the radiation balance are typically made with high-quality, carefully calibrated pyranometers and pyrgeometers. The radiation balance in mountainous regions is complicated by a range of factors including heterogeneity of surface radiative properties, roughness elements covering a range of scales, non-uniform aerosol distributions, different vegetation covers, as well as reduced and complex sky view factors and extended shadowing [67]. These different factors may lead to surface radiation balances that differ greatly from flat homogeneous terrain [63]. Radiation measurements should be done parallel to the slope when net radiation is of interest for energy balance studies. Satellite-based radiation measurements in mountainous terrain are addressed in [68].

Temperature
Surface temperature is a critical variable in the surface energy balance that links the atmospheric and sub-surface processes. Typically, either sensors are placed on the surface in an effort to match surface radiative properties or radiative surface temperatures are measured directly [69]. With higher-speed thermal cameras, characteristics of temperature fluctuations and turbulence structures can be better understood [70,71]. Results from MATERHORN and METCRAX II indicate that this is extremely a promising technology for studying surface thermal characteristics, as well as turbulence and flow characteristics.
Temperatures in the air can also be measured by using Distributed Temperature Sensors (DTS, [72,73]). DTS systems use Raman scattering along a fiber optic beam to measure temperatures at approximately 1 Hz and 1-m resolution over distances greater than 1 km. Example complex terrain deployments include MATERHORN [19] and the Shallow Cold Pool experiment [74]. The DTS technique is also being expanded to allow for simultaneous wind measurements [75]. Mean temperature gradients can be used to infer turbulent fluxes in the absence of high-resolution measurements.

Pressure
Near surface micro-barometer measurements in complex terrain in conjunction with turbulence measurements can help to clarify the role and interaction between wave motions, pressure drag and turbulence in stably stratified flow [76]. Analyzing pressure and turbulence signals taken in complex topography is very difficult given the lack of stationarity and hence applicability of standard processing methods. Micro-barometer networks are also very useful in identifying mesoscale flow characteristics like warm-air intrusions in the Meteor crater (e.g., [24,77], see also Figure 2). Strong warm-air intrusions into the crater were correlated with strong negative pressure differences between the crater's upper sidewalls and crater floor as well as the crater's upper and lower sidewalls (Figure 2a,c). The warm-air-intrusion events were also visible by high wind speed and turbulent kinetic energy (TKE) (Figure 2d,e).

Wind and Humidity
Wind and humidity measurement techniques in mountainous terrain do not differ substantially from such measurements in flat terrain, but the interpretation of the data may be different and much more difficult. In particular, wind data can only be understood when the exact topography near the measurement site is well known. Wind direction is heavily influenced by topographic features. Mountain slopes guide the horizontal winds parallel to them (also known as channeling in valleys). Thermally driven slope, in-valley and out-valley flows modify wind speed and direction further and can provoke diurnal periodicities. Larger-scale pressure gradients can produce, e.g., gap flows through narrow passages and foehn-type flows over mountain ridges (see [79] for further details).

Eddy-Covariance Measurements and Post-Processing
As the spatial variability of energy exchange at the Earth's surface is one driving force for mesoscale transport and vertical mixing processes, substantial effort has been put into turbulence measurements and post processing techniques in general and for complex terrain (e.g., [80]). Over complex terrain, representativeness of measurements influenced by heterogeneous terrain and the orientation of the instrumentation over inclined surfaces are the main issues. That means best practices and the impacts of different instrument configurations and processing methods are relevant open questions. The current standard method for making high-frequency turbulence measurements in complex terrain is applying the eddy-covariance method by utilizing sonic anemometry/thermometry for measurement of all three components of velocity and sonic temperature in conjunction with other fast response scalar measurements (e.g., for humidity and trace gases). Many papers and text books have been written on the appropriate treatment of turbulence data (see e.g., [81][82][83]). However, most of the literature focuses on flux corrections that are related to horizontally homogeneous and non-complex terrain where Monin-Obukhov similarity assumptions are reasonably well approximated. In complex terrain, these assumptions may be invalid and require different methodologies [84,85]. For example, today most researchers account for local streamline deformation using either double or triple rotations [86] or planar fit methodology [87]. In the case of a tilt angle caused by upwind terrain conditions varying with the wind direction, sector-dependent algorithms, denoted as expanded, optimized, or continuous planar fits, have been proposed (e.g., [88][89][90]). References [85,[88][89][90] also compare and assess the different algorithms and provide some guidelines for applications. Nevertheless, appropriate coordinate transformations are still uncertain, especially for truly complex, three-dimensional orography where additional terms in the equations of motions must be considered. That means no single best approach exists for all sites and conditions [85]. These authors suggest that measured turbulent fluctuations must first be brought into a Cartesian coordinate system (x-axis pointing into the mean flow direction and the z-axis normal to the surface). ∆p between crater's western lower sidewall (WL) and FLR and between crater's lower sidewall (EL) and FLR, (c) ∆p between WU and EU and between WL and EL and (d) terrain-following wind speed and (e) 5-min-averge turbulent kinetic energy (TKE) at 5 m above ground on 28/29 October. The grey dashed vertical lines mark the launch times of tethersondes soundings, the black dashed vertical lines indicate soundings with warm-air intrusions, and the grey-dashed areas indicate times with warm-air intrusion as determined from pressure and wind measurements (from [77], ©American Meteorological Society. Used with permission). On a sloped surface, [85] note that friction associated with turbulent fluctuations will lead to a flux of slope parallel momentum in the normal to the surface ( Figure 3a). Hence, the local normal seems to be the appropriate coordinate direction for this 'vertical flux' of momentum. For the sensible heat flux, [85] assume that the perturbation isentropes, θ , are parallel to the local surface on a slope ( Figure 3b) so that very close to the surface the local normal again is appropriate for the sensible heat flux. However, the heat flux is driven by buoyancy that is directed in the vertical direction, irrespective of the underlying slope. Therefore, at a 'certain height' the dominant sensible heat flux is 'vertical' rather than normal to the local slope. However, the level of the 'certain height' is not yet well defined [85]. Figure 4 shows the impact of near-surface vertical and slope-normal installed sonic anemometers to calculate the sensible heat flux [85].
Additional difficulties arise in complex orography when trying to measure 'representative fluxes'. Long-term turbulence sites have been installed in the Inn Valley in Austria to address this issue [32]. Flux stations need to be distributed in the area of interest both horizontally and vertically (e.g., to measure momentum and sensible heat fluxes) adding dramatically to cost and complexity of experiments. Furthermore, over mountainous terrain there can be a substantial spatial variability of surface turbulent fluxes with respect to the time and maximum of the daily cycle [62]. These differences are largely controlled by the available energy. For that, lower-cost instruments that quantify small-scale processes and cover the small-scale spatial variability of fluxes would be beneficial. Furthermore, turbulent measurements, even at the top of small towers, are not necessarily representative of the surface conditions since horizontal and vertical advection processes could be important. Reference [62] at least found some evidence for that. Reference [91] also partly attributed advection processes to be responsible for the underestimation of turbulent fluxes over heterogeneous terrain.
Atmosphere 2018, 9, x FOR PEER REVIEW 9 of 29 differences are largely controlled by the available energy. For that, lower-cost instruments that quantify small-scale processes and cover the small-scale spatial variability of fluxes would be beneficial. Furthermore, turbulent measurements, even at the top of small towers, are not necessarily representative of the surface conditions since horizontal and vertical advection processes could be important. Reference [62] at least found some evidence for that. Reference [91] also partly attributed advection processes to be responsible for the underestimation of turbulent fluxes over heterogeneous terrain.

Surface-Based Remote Sensing
Remote sensing techniques usually capture either path-averaged or range-resolved data along the observational path of these instruments. This path is either the path of the emitted beam of active remote sensing instruments or the view angle of passive instruments. The full variability of atmospheric fields can only be observed, if range-resolving instruments are run in a scanning or imaging mode. The repetition rate of these scans once again determines whether the full temporal variability of atmospheric fields can be captured. To estimate the exchange and transport of moisture, heat and mass, knowledge of the spatial distribution and temporal evolution of humidity, temperature and wind is crucial. While getting a full three-dimensional picture of the atmospheric

Surface-Based Remote Sensing
Remote sensing techniques usually capture either path-averaged or range-resolved data along the observational path of these instruments. This path is either the path of the emitted beam of active remote sensing instruments or the view angle of passive instruments. The full variability of atmospheric fields can only be observed, if range-resolving instruments are run in a scanning or imaging mode. The repetition rate of these scans once again determines whether the full temporal variability of atmospheric fields can be captured. To estimate the exchange and transport of moisture, heat and mass, knowledge of the spatial distribution and temporal evolution of humidity, temperature and wind is crucial. While getting a full three-dimensional picture of the atmospheric quantities with a sufficient temporal and spatial resolution to resolve turbulence is not yet achieved-and maybe never will be, remote sensing instruments are able to at least partly provide the required information. The three-dimensional wind field can be obtained by active remote sensing using instruments like Doppler lidars. Profiles of temperature and humidity-and partly even information on the spatial distribution-are available from active remote sensing instruments like Raman lidars and Differential Absorption Lidars (DIALs) and passive remote sensing instruments like microwave radiometers and infrared spectrometers. An overview on remote sensing measurement techniques is given in [12] and a special compilation of surface-based remote sensing techniques for the atmospheric boundary layer is available in [92]. In the following, an overview of some passive and active remote sensing instruments and their application to study exchange and transport processes over complex terrain is given.

Passive Remote Sensing
Passive remote sensing by surface-based microwave radiometers provides data of temperature and humidity with moderately high temporal (order of seconds to minutes) but relatively low spatial (order of a hundred of meters) resolution. From measured brightness temperatures, atmospheric quantities are obtained with retrievals. A good overview of this technique is given by [93,94]. To enhance the vertical resolution of temperature profiles in the boundary layer, so called boundary-layer scans are performed [95]. This method implies horizontal homogeneity of the atmosphere, which is generally not a valid assumption over mountainous terrain. However, [96] show that one-dimensional variational (1D-VAR) retrieval techniques combining microwave radiometer measurements with 1h forecasts from a numerical weather prediction model is able to provide a good retrieval of low level temperature inversion in complex terrain (see Figure 5). Over complex terrain, elevated inversions are common (see Figure 1 as well). These are challenging to observe with a microwave radiometer due to the coarse vertical resolution decreasing with altitude. Reference [97] developed specialized algorithms to improve the representation of these inversions. Data are from two consecutive days with weak synoptic forcing ('purely' thermally driven valley and slope wind regime). (a) Values of heat flux from both sonic orientations, rotated only into the mean wind. Coordinate rotation for w was only applied to slope-normal orientation. (b) Values of heat flux from both installations, after double rotation was applied to both. The remaining terms of the energy balance closure (net radiation R net minus ground heat flux, G, and latent heat flux, LE) are also plotted as a reference (from [85], Copyright: Open Access, CC-BY).

Passive Remote Sensing
Passive remote sensing by surface-based microwave radiometers provides data of temperature and humidity with moderately high temporal (order of seconds to minutes) but relatively low spatial (order of a hundred of meters) resolution. From measured brightness temperatures, atmospheric quantities are obtained with retrievals. A good overview of this technique is given by [93,94]. To enhance the vertical resolution of temperature profiles in the boundary layer, so called boundary-layer scans are performed [95]. This method implies horizontal homogeneity of the atmosphere, which is generally not a valid assumption over mountainous terrain. However, [96] show that one-dimensional variational (1D-VAR) retrieval techniques combining microwave radiometer measurements with 1h forecasts from a numerical weather prediction model is able to provide a good retrieval of low level temperature inversion in complex terrain (see Figure 5). Over complex terrain, elevated inversions are common (see Figure 1 as well). These are challenging to observe with a microwave radiometer due to the coarse vertical resolution decreasing with altitude. Reference [97] developed specialized algorithms to improve the representation of these inversions. Scanning systems allow for the identification of the spatial distribution and evolution of humidity. In the absence of synoptic scale changes, a moisture increase in an elevated layer usually indicates that air originates near the Earth's surface. The moisture distribution can therefore be used as an indicator for convective and mesoscale transport processes. Reference [44] used a scanning microwave radiometer to study the transport of water vapor with thermally driven circulations over the mountainous island of Corsica. An example of the spatiotemporal integrated water vapor, IWV, distribution measured with a scanning microwave radiometer located at a valley floor is presented in Figure 6. IWV measured during azimuthal scans reveals that higher IWV values occur over the surrounding ridges than over the valley indicating an upward transport of moisture with slope winds. . Comparison between radiosonde profiles (magenta), linear regression (dashed black line) and 1D-VAR from AROME model forecasts (blue), 1DVAR from previous radiosonde (red). Background profiles corresponding to either the 1 h AROME model forecast (black) or the previously launched radiosonde (cyan) are also shown (from [96], Copyright: Open Access, CC-BY).
Taking advantage of the Global Positioning System (GPS) network, information on IWV can be derived as the tropospheric delay of the GPS signal is significantly impacted by humidity (e.g., [98]). As there is a rather dense network of GPS receivers all over the world, this technique allows the detection of mesoscale variations in space and time of IWV and may therefore be useful to trace the moisture transport over complex terrain. This was demonstrated in, e.g., [99] for the mountainous island of Corsica. Background profiles corresponding to either the 1 h AROME model forecast (black) or the previously launched radiosonde (cyan) are also shown (from [96], Copyright: Open Access, CC-BY).
Taking advantage of the Global Positioning System (GPS) network, information on IWV can be derived as the tropospheric delay of the GPS signal is significantly impacted by humidity (e.g., [98]). As there is a rather dense network of GPS receivers all over the world, this technique allows the detection of mesoscale variations in space and time of IWV and may therefore be useful to trace the moisture transport over complex terrain. This was demonstrated in, e.g., [99] for the mountainous island of Corsica.

Active Remote Sensing
Different instruments based on different physical measurement principles exist for measuring atmospheric quantities such as temperature (e.g., Raman lidar, Radio Acoustic Sounding System (RASS)), humidity (e.g., Raman lidar, differential absorption lidar (DIAL)), wind (e.g., sodar, radar wind profiler, Doppler lidar), clouds (e.g., cloud radar) and rain (e.g., rain radar), where each instrument has advantages and disadvantages. A comprehensive overview is given by [12,60,92]. Active surface-based remote sensing systems have been used in complex terrain for several decades.
Scintillometry, as a technique for providing spatially-integrated turbulence data, has been used successfully in complex terrain on several occasions [32,100,101]. Single wavelength methods typically yield path averaged fluxes or, more fundamentally, structure parameters over distances typically ranging from 500 m to 7 km. Bichromatic systems, or combinations of infrared and microwave scintillometers, have been used to provide estimates of sensible and latent heat fluxes over idealized and urban terrain [102][103][104]. Concerning scintillometry, difficulties in complex terrain are due to the fact that standard scintillometry methods assume the validity of Monin-Obukhov similarity a priori. Depending on the site, this may be a reasonable or quite invalid assumption. More understanding of the method is needed to better integrate the measurements in complex terrain [103]. Scintillometers can also provide an estimate of integrated cross-valley wind (e.g., [100]). 8°. IWV was measured by a microwave radiometer. In (b), the orography is displayed in meters above ground relative to Corte (from [44], Reprinted by permission from Springer).

Active Remote Sensing
Different instruments based on different physical measurement principles exist for measuring atmospheric quantities such as temperature (e.g., Raman lidar, Radio Acoustic Sounding System (RASS)), humidity (e.g., Raman lidar, differential absorption lidar (DIAL)), wind (e.g., sodar, radar wind profiler, Doppler lidar), clouds (e.g., cloud radar) and rain (e.g., rain radar), where each instrument has advantages and disadvantages. A comprehensive overview is given by [12,60,92]. Active surface-based remote sensing systems have been used in complex terrain for several decades.
Scintillometry, as a technique for providing spatially-integrated turbulence data, has been used successfully in complex terrain on several occasions [32,100,101]. Single wavelength methods typically yield path averaged fluxes or, more fundamentally, structure parameters over distances typically ranging from 500 m to 7 km. Bichromatic systems, or combinations of infrared and microwave scintillometers, have been used to provide estimates of sensible and latent heat fluxes over idealized and urban terrain [102][103][104]. Concerning scintillometry, difficulties in complex terrain are due to the fact that standard scintillometry methods assume the validity of Monin-Obukhov similarity a priori. Depending on the site, this may be a reasonable or quite invalid assumption. Profiles of temperature can be obtained from RASS's and Raman lidars and humidity profiles from Raman lidars and DIAL's [105]. In contrast to the profiles from the passive microwave radiometer, the vertical and temporal resolution of these profiles is sufficient to resolve both elevated inversions and small-scale variations on the turbulent scale but limited to clear-sky conditions and nighttime for the Raman lidar [106].
Wind measurements by remote sensing in complex terrain involve a major difficulty. Wind vector measurements with active remote sensing instruments (Doppler lidars as well as sodars and radar wind profilers) require at least three independent measurements for the three wind components. A single surface-based device has to do this by looking into three or five separated volumes of air or conical scanning and subsequent calculation of the wind components. State-of-the-art Doppler lidars are fast scanning and have a temporal resolution of 1 s or even less and a spatial resolution along the beam of a few tens of meters. Thus, they are powerful tools to study turbulent and mesoscale processes.
But, the calculation of the wind components from remote sensing data assumes straight streamlines in the air volume containing all separate measurement volumes. Any curvature of the streamlines will lead to systematic biases [107]. Two solutions might help: either correct biased data a posteriori with the help of flow models which give the correct curvature of the streamlines [108] or apply the dual-or triple-Doppler technique to radial velocity measurements from multiple scanning lidars. The idea behind the dual-or triple-Doppler technique is that two or three physically separated scanning Doppler lidars point at the same volume of air from two or three different directions. This allows for the retrieval of two or all three wind components in the same air volume. Sophisticated and complex scan strategies and patterns have been developed and applied in the past including the virtual tower technique where profiles of the two or three dimensional wind are obtained (e.g., [109][110][111] or coplanar scans, where two Doppler lidar perform coordinated scans in a plane which allows the retrieval of the two-dimensional wind field in this plane (e.g., [112][113][114]. The application of the dual-or triple-Doppler retrieval requires a high degree of synchronization and accuracy to assure that the lidars simultaneously sample the same air volumes. One possible option to achieve this is given by the Windscanner system which was developed at the Technical University of Denmark (DTU, [115,116]). The errors of dual-Doppler lidar measurements resulting from the finite scan duration and temporal and spatial averaging are assessed by [117]. The dual-Doppler retrieval allows the spatial distribution and temporal evolution of flow structures ranging from the micro-to the mesoscale to be studied. As the temporal resolution of Doppler lidars is of the order of seconds or even less, it is even possible to derive all three components of atmospheric turbulence in an air volume depending on the scan strategy. The dual-or triple-Doppler lidar retrieval has been utilized, e.g., in wind energy applications to study wakes behind wind turbines (e.g., [112,118,119]) and for the assessment of wind conditions at a bridge in a Norwegian fjord, (e.g., [120]). During the recent ScaleX [25] and Perdigão [121] field campaigns, the technique was applied to study flow patterns over mountainous terrain.
Using the example of Doppler lidar measurements over hilly terrain in South-Western Germany, we illustrate how virtual towers help to gain insight into the mesoscale variability of the horizontal flow. Two powerful lidars were installed on opposing slopes around 6 km apart. Using a control software developed at Karlsruhe Institute of Technology (KIT, [122]), two lidars performed coordinated scans and placed 6 virtual towers in the valley and near the slopes measuring for 10 s at each level ( Figure 7). The whole cycle was repeated every 20 min which provided insight into the spatial variability during each cycle as well as the temporal variability from consecutive cycles. Spatial differences occur at lower layers likely related to topographic effects. [123,124] used the dual-Doppler retrieved wind field in a vertical plane to study the complex flow structure in a Meteor crater during the METCRAX II field campaign ( Figure 8). One lidar was placed on the rim and the other one at the crater floor. Due to the depth-width ratio of the crater it was possible to retrieve the horizontal and vertical wind component in the plane, which allowed to distinguish different flow regimes in the crater like a bifurcation and warm air intrusion phase. Besides the dual-or triple Doppler retrieved wind fields, single Doppler lidar measurements can also provide a good overview of the three-dimensional flow field if certain conditions regarding e.g., instrument location, topographic shape and air masses characteristics are fulfilled. For example, [46] used radial velocity and backscatter measurements from horizontal and vertical scans to study small scale circulations and their impact on transport of pollutants in a narrow Alpine valley close to the Mont Blanc (Figure 9). of the three-dimensional flow field if certain conditions regarding e.g., instrument location, topographic shape and air masses characteristics are fulfilled. For example, [46] used radial velocity and backscatter measurements from horizontal and vertical scans to study small scale circulations and their impact on transport of pollutants in a narrow Alpine valley close to the Mont Blanc ( Figure  9).

Airborne and Satellite Observations
Bridging the scales between local in situ, local vertical or 3D, and regional scale investigations, mobile in situ or remote sensing techniques are necessary. A larger number of airborne measurement platforms are available today. Depending on their maneuverability and endurance, they may be able to permit the instruments mounted on them to capture the full spatial and temporal variability of the atmospheric fields. Among these platforms are: balloons and radiosondes, tethered balloons, unmanned aerial vehicles (UAV) and aircraft.

Radiosondes and Tethered Balloons
Radiosondes and tethersondes are used for profiles of mean meteorological parameters (i.e., temperature, humidity, wind). The only inner-alpine radiosonde station in the European Alps is Innsbruck. However, it cannot be expected that data from a radiosonde in a valley center is representative of the conditions in the lower atmosphere over adjacent ridges, slopes or even along the valley floor (e.g., [97]). Considerable spatial variability of dynamic and thermodynamic parameters also affect the spatial variability of added value quantities like convective available potential energy (CAPE) and convective inhibition (CIN) so that mesoscale radiosonde networks or mobile radiosonde stations are beneficial to capture the full atmospheric heterogeneity over mountainous terrain (e.g., [125]).
In addition, recoverable radiosounding systems can be very useful for reducing costs to allow soundings more frequently to capture rapidly evolving lower tropospheric conditions in mountainous areas [126,127]. They have been recently used during the Passy-2015 field experiment [30] and allow a very efficient and cost-effective investigation of the boundary layer cycle during persistent inversion episodes in a narrow Alpine valley. Sounding intervals of down to 1 h were applied during the Dynamics-Aerosol-Chemistry-Cloud Interactions in West Africa (DACCIWA) field campaign to study the nocturnal and convective boundary layer [128].
Tethered balloons and kites bridge the gap between in situ measurements from towers and radiosondes. They can provide profiles of up to a thousand meters above ground from various locations as long as mean winds are not too strong (below about 10 m s −1 ). Besides mean meteorological parameters, they can also be used for turbulent and fluxes measurements as they allow for larger payloads than radiosondes (e.g., [129]). Furthermore, tethered balloons allow continuous measurements at a fixed height, or repeated high-resolution scanning of vertical profiles when operating them with a slow ascent/descent rate.

Aircraft in Situ
Airborne platforms currently available range from large manned aircraft to remotely piloted unmanned aerial vehicles (see Section 4.4). Aircraft have been used over many years to measure in situ wind fields and other meteorological parameters as well as for remote sensing [130][131][132][133]. Such measurements cover scales from several hundred km at cruising speeds of up to 100 m s −1 from large aircraft to local, a few hundred meters scale, at speeds of a few to zero m s −1 from multi-copters and small model-aircraft. The optimum platform is dependent on the required scale and resolution of the measurements. Small environmental research aircraft (SERA) with a payload of up to 150 kg and operation by one pilot/scientist are one of the most versatile platforms. Aircraft are also often used for dropsonde release. A major difficulty here is to get permission even over rural environments.
Large aircraft, as used normally for remote sensing, are fast and useful for covering long distances; however, they are not as maneuverable and cannot be used in narrow mountain valleys. Also they are not designed for low elevation flights and their operation range is typically in the upper half of the PBL or even above. Currently, the most promising and most cost-effective solution would be small environmental aircraft like ultralights or motorized gliders [42,53,134,135]. Such aircraft can carry between 50 and~120 kg of scientific payload, and can fly up to six hours giving a horizontal range of 600 to 1200 km. As they can fly also low and slow, down to 30 m above ground level (agl) and 20 m s −1 , they are suitable platforms for high resolution earth observation and allow for extending the scales from local measurements (TERENO, [25]) to regional scale observations ( [136] or [28] for COPS. Even eddy covariance measurements to determine latent and sensible heat exchange are possible from ultralights [137]. Also, as they are participating in civil aviation conventionally they do not require any special permits. Such permits would be only needed in case that they are supposed to fly below 'standard' safe altitude of~500 ft or~150 m agl (an altitude range that may be covered by UAV flights (unmanned atmospheric vehicles, see Section 4.4 below)). The optional payload allows to carry both, in situ instrumentation for radiation, atmospheric state variables, turbulent fluxes and micrometeorology, aerosols, trace gases and also remote sensing in one package in a fully equipped airborne observation platform [134,138]. Although it is always beneficial to miniaturize sensors for such applications, even some full size standard instrumentation like fast laser detectors (QCL) Laser or hyperspectral scanners can be flown [42,139]. To extend the number of parameters measurable, miniaturized instruments were developed for these small aircraft within the last decade which nowadays also even applicable for UAV research [134,140]. Residual kriging has been used successfully to analyze airborne in situ measurements in Alpine valleys [141].

Airborne Remote Sensing
Data needed for high-resolution observation of transport and exchange processes in mountainous terrain include: three dimensional winds, temperature and humidity over the whole depth of the boundary layer, three-dimensional surface structures like orographic structures, and also small-scale surfaces properties like vegetation type and coverage, which affect roughness, temperatures and trace gas exchange. These data are accessible via active or passive remote sensing. While satellite observations generally reach neither the horizontal resolution required for the investigation of transport processes nor the vertical resolution needed for the assessment of vertical exchange processes, other airborne platforms have to be used. Active techniques are applied for certain parameters like vertical profiles of winds or aerosols from airborne lidar applications [142], indirect techniques to derive spatial surface properties from a variety of different techniques based on optical (spectral) information [143]. A special application is the measurement of soil water using radar techniques (PLMR: Polarimetric L-band Multi-beam Radiometer & Thermal Imager, [133]). Today's SERAs are able to accommodate several different techniques at the same time. For example, laser scanning for surface topography, hyperspectral and thermal infrared cameras and also in-situ techniques for turbulent sensible and latent heat fluxes can be flown the same time on one single platform (see, e.g., [136,144]). The smaller unmanned systems (UAVs, see the next subsection) in contrast can fly only one sensor or a limited parameter set.
SERAs are often used from agricultural private landing strips for example in Australia and Africa and were even operated from a country road in Inner Mongolia [131]. Figure 10 shows results from a manned ultralight aircraft flying in Inner Mongolia with a combination of in situ radiation, turbulent flux and aerosol sensors with thermal infrared camera and single downward pointing temperature sensor for surface temperature and variability characterization. The aim of these studies was an investigation of the soil water content from the early morning development of the surface temperature, radiation flux and latent energy fluxes.

UAVs and RPAS
In recent years, both UAVs and multicopters have become frequently used flying platforms for measurements in atmospheric research for vertical and horizontal applications [140,145,146]. UAVs can cover a vertical and horizontal range of several kilometers and therefore are suitable for investigations on horizontal inhomogeneities and transports across them throughout the boundary layer. Multicopters offer flexible maneuverability at low flight speed and the possibility of capturing detailed vertical profiles by hovering (i.e., no horizontal movement). National regulations and airspace limitations have to be obeyed for both of them in flat as well as in complex terrain. Current limitations issued by national aviation and legislative authorities comprise, e.g., flying restrictions

UAVs and RPAS
In recent years, both UAVs and multicopters have become frequently used flying platforms for measurements in atmospheric research for vertical and horizontal applications [140,145,146]. UAVs can cover a vertical and horizontal range of several kilometers and therefore are suitable for investigations on horizontal inhomogeneities and transports across them throughout the boundary layer. Multicopters offer flexible maneuverability at low flight speed and the possibility of capturing detailed vertical profiles by hovering (i.e., no horizontal movement). National regulations and airspace limitations have to be obeyed for both of them in flat as well as in complex terrain. Current limitations issued by national aviation and legislative authorities comprise, e.g., flying restrictions beyond line of sight (which can happen more often in mountainous terrain), restrictions for operation in civil aviation airspace (>150 m agl) and weight limits. Miniaturization of sensors is in progress with optical (hyper) spectral sensors currently getting into the weight and power consumption range, allowing using even these very small airborne platforms. One of the major advantages of the UAVs are the possibility to operate in very remote places without the need for aviation infrastructure like runways or landing strips and also the ability to flight at very low altitude. On the other hand, endurance of UAVs and multicopters is limited by the capacity of the batteries and is in the order of 15 to 30 min. Replacing used batteries by loaded ones immediately after landing may help to cover longer boundary layer developments, but requires extra sets of batteries and personnel.
Reference [147] demonstrated the utilization of fixed-wing UAVs for measurements of meteorological variables, i.e., air temperature, humidity and wind, up to 1600 m agl. In addition, [148] implemented radiation and aerosol size distributions sensors, [149] focused on ultrafine particles and [150] showed the possibility of turbulence measurements. Their applications include meteorological and air quality measurements, e.g., particulate matter [151] or air samples for analyses of chemical composition [152], but on a smaller scale of several hundreds of meters. In addition, [153,154] showed that the onboard flight control sensors can be used to derive wind estimates from a multi-copter's attitude control data. UAVs or RPAS (remotely piloted aircraft systems, see e.g., [155]) are used for quantifying turbulent fluxes and mean variables in the boundary layer. The use of these platforms is still fairly new and the use of simultaneous RPAS is just becoming possible and will be useful in upcoming field campaigns. RPAS have been used in mountain terrain experiments such as along idealized slopes to monitor mean variables as well as turbulence quantities such as C T 2 [19,156].
Among their main advantages are the ability to fly at very low altitude (i.e., between a few m above ground and 150 m agl), the ability to operate in remote places without aviation infrastructures, the ability to track atmospheric phenomena such as clouds and flight nearby or within clouds (e.g., [157]) and the ability to use an automatically guided fleet of UAVs to sample the atmosphere (e.g., [158]). Nevertheless, the up to now not yet solved problems to fly in civil aviation airspaces restrict UAVs to certain locations and predefined flight patterns, thus making currently the use of UAVs probably less flexible than small environmental aircraft (SERAs).

Satellite-Borne Remote Sensing
Satellites enable the operation of instruments for passive and active sounding of the entire atmosphere. Their major advantage is that they see large areas at the same time. One of the disadvantages of satellites in lower orbits (e.g., such on polar orbits) is that they are fast moving so that they pass quickly and revisit one and the same site only at a very limited number of instances. This does not happen with geostationary satellites. They fly at about 36,000 km above the Earth's surface and thus have a very limited horizontal resolution which is not fitting to the detailed structures of complex terrain. Thus satellites will be of only limited use in mountainous terrain research, although, at least, the detection of mountain-induced convection is feasible from satellites. For inaccessible areas satellites may be the only option at all to obtain data.
Satellite sounding is a mostly passive sounding based on weighting functions which is usually hampered by very limited vertical resolution. The analysis of near-surface data from satellite-borne instruments is additionally complicated by the usually large returns from the solid Earth surface. The large complexity and inhomogeneity of mountainous terrain will make it very difficult to filter out surface returns reliably. The reader is referred to Section 3.1 in [105] for a recent summary of the abilities of satellite remote sensing.
However, several recent programs could be of interest for mountain meteorology. The global coverage for winds of the recently launched Aeolus (see for example [159]) satellite may provide new information on the large-scale impact of mountains. Daily 500-m snow cover information provided by the Aqua and Terra MODerate resolution Imaging Spectroradiometer (MODIS, see for example [160]) and the Sentinel-2 satellites [161] can provide information on land cover at a resolution up to 10 m every 5 days.

Remaining Challenges, Gaps and Potentials
The possibilities to investigate turbulent and mesoscale exchange and transport processes over complex terrain have improved in the last decades; e.g., Doppler lidar systems have nearly closed the gap between small scale turbulence and the scale of convective cells and thermally driven circulations. Additionally, due to commercial application in wind energy assessments the costs of Doppler lidars have decreased significantly so that dual or even multi Doppler lidar applications are nowadays possible. Major challenges arise here from finding suitable measurement sites in complex terrain and by achieving the high necessary synchronization. In addition, even lower temporal and spatial averaging intervals and faster scan speeds have to be sought to fully resolve the spatial structure of turbulence. Nevertheless, Doppler lidars provide a large potential to capture the three-dimensional flow field over complex terrain, which has not been fully exploited up to now, while the three-dimensional structure of temperature and humidity is much harder to observe. So far, the only reliable option to get profiles of temperature and humidity with high vertical resolution is by use of in-situ measurements such as radiosondes, tethersondes, aircrafts and UAVs. However, these approaches suffer usually from low temporal resolution and limited sampling period. Profiles from microwave radiometers can provide complementary high temporal resolution and longer sampling period but (if used alone) suffer from relatively low vertical resolution and the inability in general to detect sharp gradients (e.g., boundary-layer capping inversions) at least above 1 km altitude. Although DIAL and Raman lidars can in principle provide temperature and/or humidity profiles with the necessary resolution, these systems are so far not commercially available, very expensive, and hard to maintain and operate. While analysis tools exist to interpolate data from surface stations in complex terrain [162,163], this is not possible above the ground (e.g., in the mixed layer) or of the atmospheric boundary-layer (ABL)) depth. To get highly resolved information in space and time on the temperature and humidity in the ABL and lower troposphere the usage of airborne platforms (UAVs, aircrafts) in combination with radiosondes/tethersondes and microwave radiometers is likely mandatory.
In particular, related to transport and exchange studies over complex terrain, the combination of different remote sensing and in situ instruments measuring different quantities is crucial to capture the relevant processes and process chains. For example, in order to study the processes leading to the evolution of moist convection over mountainous terrain, it is necessary to capture the energy exchange at the surface, continue via convection and thermally driven circulation in the ABL and also consider the exchange between the ABL and the free atmosphere. To study the evolution of moist convection over a mountain ridge, [164] use radial velocity measurements from Doppler lidar and cloud radar. Near-surface flux measurements over mountainous terrain are already prone to major challenges related to slope angle and representativeness of the site. Getting full profiles of fluxes in the ABL and lower troposphere arises even more challenges. For flux calculations, it is necessary to measure e.g., humidity or heat and wind in the same volume of air at the same time. While flux profiles are possible with tethered platforms they are limited in maximum height and in the number of measurement levels [165]. Flux profiles can also be obtained from stacked horizontal legs flown by aircraft and UAVs. However, this method is limited over mountainous terrain due to the requirement of long legs and the assumption of horizontal homogeneity along the leg. Remote sensing instruments like lidars have the potential to provide the required data. So far, only few studies present flux profiles from lidar measurements due to the large challenge of operating a Doppler lidar and DIAL or Raman lidar simultaneously. For example, [166] obtain turbulent flux profiles from airborne DIAL and Doppler lidar measurements. Mobile integrated observation platforms combining different remote sensing and in-situ systems (e.g., KITcube [164]), Atmospheric Radiation Measurement (ARM) mobile facility [167], CNRM mobile facility (e.g., [30]) can provide the required data and can be deployed in complex terrain for limited time periods during field campaigns. The data gathered from such integrated platforms can on the one hand be used for the evaluation of numerical weather prediction models and on the other hand used for data assimilation in Large Eddy simulation (LES) models. Over flat terrain, measurements are already combined with LES modeling within the LASSO project (LES ARM Symbiotic Simulation and Observation, [168]). This allows achieving a self-consistent representation of the atmosphere around the measurement site, which can assist in a better understanding of the measurements and processes causing the observed conditions. Applying data assimilation to measurements over mountainous terrain is a very challenging task but has large potential to improve our understanding of transport and exchange processes in the future.

Conclusions and Outlook
Scanning and range-resolving remote sensing techniques together with multiple low-cost in situ sensors and in situ and remote instruments mounted on highly maneuverable airborne platforms are probably the best instrumentation to capture the full spatial and temporal variability of atmospheric fields in mountainous terrain. Due to the low spatial representativeness of measurement instruments in complex terrain, a larger number of instruments than in flat terrain is needed to provide a full coverage of a given area. Therefore, cost of instruments is an issue. Furthermore, the dual or triple Doppler lidar technique will help measure wind profiles at positions of virtual towers [169]. By this, wind profiles will be available from one set of instruments at several sites separated by horizontal distances of some kilometers. Application of the coplanar technique also will improve our understanding of mesoscale flow features over mountainous terrain. These techniques are important, because in complex terrain, the features of vertical profiles and flow features can vary rapidly from one site to the next, much more than in flat terrain. Further progress concerning turbulence information can also be expected from ongoing attempts testing and evaluating appropriate scanning algorithms [170].
Another parameter, which is highly variable in space and time in the mountain ABL is humidity. As humidity is very important with respect to the initiation of moist convection, its distribution is urgently needed, e.g., for assimilation in Numerical Weather Prediction (NWP) models. Therefore, the development of affordable continuous boundary layer humidity profiling systems is pushed forward in the last years (e.g., [171]).
But the small representativeness of measured atmospheric and surface data in complex terrain cannot meaningfully be overcome by pure technical solutions only (just more or better instruments per surface area). Sophisticated modeling techniques and elaborated algorithms have to be designed to be used interactively with improved measurements in order to provide reliable data which depict the full spectrum of atmospheric and surface processes taking place in complex terrain [138]. Steps towards this direction are already being taken, i.e., by exploiting high-resolution modeling capability to bridge the gap from point measurements to larger scales. Inversely, some of the observational techniques could be used to bridge the scale gap between ensemble-averaging mesoscale modeling and case study-based microscale modeling. But also this remains an open issue in complex terrain as well as it has been so long for homogeneous terrain or urban areas (see [40] and further references therein).
Crowdsourcing is also an alternative to explore how to obtain horizontally highly-resolving data [172]. The long list of experiments given in the introduction of this paper shows that the issue of covering atmospheric conditions in complex terrain has already been recognized several decades ago. The fact that a perfect solution has not yet been found, points to the intrinsic difficulties of this issue.
Although the development of measurement instruments and strategies is presently ongoing at rather high speed, a solution for a full coverage of transport and exchange processes in the boundary layer over mountainous terrain does not seem to be very near. Therefore, it can be expected that new measurement techniques and data evaluation algorithms will continue to evolve in the future, which-hopefully-bring us a bit closer to a solution. The important role of complex terrain for exchange between the surface/near surface and the upper atmosphere in the climate system justifies every effort in this direction.
Funding: This review received no external funding.