Characterizing Snow Dynamics in Semi-Arid Mountain Regions with Multitemporal Sentinel-1 Imagery: A Case Study in the Sierra Nevada, Spain

: Monitoring snowmelt dynamics in mountains is crucial to understand water releases downstream. Sentinel-1 (S-1) synthetic-aperture radar (SAR) has become one of the most widely used techniques to achieve this aim due to its high frequency of acquisitions and all-weather capability. This work aims to understand the possibilities of S-1 SAR imagery to capture snowmelt dynamics and related changes in streamﬂow response in semi-arid mountains. The results proved that S-1 SAR imagery was able not only to capture the ﬁnal spring melting but also all melting cycles that commonly appear throughout the year in these types of environments. The general change detection approach to identify wet snow was adapted for these regions using as reference the average S-1 SAR image from the previous summer, and a threshold of − 3.00 dB, which has been assessed using Landsat images as reference dataset obtaining a general accuracy of 0.79. In addition, four different types of melting-runoff onsets depending on physical snow condition were identiﬁed. When translating that at the catchment scale, distributed melting-runoff onset maps were deﬁned to better understand the spatiotemporal evolution of melting dynamics. Finally, a linear connection between melting dynamics and streamﬂow was found for long-lasting melting cycles, with a determination coefﬁcient (R 2 ) ranging from 0.62 to 0.83 and an average delay between the melting onset and streamﬂow peak of about 21 days.


Introduction
Mountains are considered "water towers" since they provide water for both ecosystems and anthropogenic demands in downstream areas [1][2][3].In Mediterranean mountains, this role becomes more important since melting water from the snowpack can constitute the main water resource for human consumption, agriculture, and hydroelectric production [1].The variability of the Mediterranean climate enhances the complexity of snow dynamics over these mountain regions [2].The mild winter temperatures in combination with the long, dry sunny period result in the following outcomes: (i) a highly variable snowpack, in both time and space, with the presence of several accumulation and melting cycles during the snow season [3]; (ii) shallow snowpacks with a characteristically patchy distribution [4]; (iii) a high snowpack density [5]; and (iv) a non-negligible evaposublimation flux from the snowpack to the atmosphere [6].These peculiar snow dynamics conditions the seasonality of the streamflow response in the headwater catchments [2,5].Therefore, it is key for a deep understanding of accumulation and melting dynamics of snowpack which allows changes in downstream streamflow to be foreseen, and consequently, changes in the water resources availability [7,8].
The physics of snow dynamics have been widely studied [9][10][11].In snowpack, during the accumulation phase, snow water equivalent (SWE) increases, net energy inputs keep mainly negative, and the average snowpack temperature decreases [12,13].When these energy inputs become positive, due to external forcing, for instance radiation, the snow turns into wet snow and the melting phase begins [14,15].This melting period can be generally separated in three phases [11]: (i) moistening, (ii) ripening, and (iii) melting runoff.Traditionally, in situ monitoring has been the principal tool used for observing and, therefore, understanding snow dynamics [16].However, the intrinsic limitations of accessibility, measurement representativeness, and area coverage have made remote sensing one of the techniques extensively used for snow monitoring [10,11,[17][18][19][20]. Optical sensors have been widely exploited to derive snow cover maps [8,13,18,[20][21][22][23], as well as to compute snow albedo [24][25][26] and grain size [27].The revisiting time of some days in the case of high resolution imagery, and the presence of clouds are the main limitation for these sensors in the case of snow monitoring [28,29].Terrestrial photography, which also works in the optical range of the electromagnetic spectrum, has been widely used to solve some of these issues, for instance, for retrieving snow cover fraction [30,31], snow depth [3], and snow roughness [32,33].Active microwave sensors, which due to the fact that longer wavelengths are able to penetrate the cloud cover, have been exploited to gain information on the snowpack status, for example, wet/dry conditions [34,35], snow depth [36], and SWE [37].In these cases, some drawbacks remain related to the limited interaction of the SAR signal with snowpack, especially in dry conditions [34].Other authors have also studied snow variables such as snow cover fraction [38], SWE [39], or albedo [40] by using microwave passive sensors instead of active ones.The coarse spatial resolution is the main drawback of these sensors when analyzing snow properties in mountain areas [41].
More specifically, microwave sensors are able to detect the presence of liquid water in the snow cover.This existence of liquid water generates high dielectric losses that provoke a significant reduction in radar backscatter [42].Recent studies have shown that these losses are more significant and detectable in cross-polarized VH [43,44].Moreover, in [43], it is concluded that minimum SAR backscattering is reached at the end of the ripening phase, or in other words, at the beginning of the melting-runoff phase.At that moment, all liquid water content is held in the snowpack and starts to be released.From this onset, a monotonic increase in the backscattering is found until the snowpack is melted [45].Active sensors are commonly used in local scale application.In particular, the new Sentinel-1 (S-1) SAR constellation, which has a dual polarization capability, very short revisit times, high spatial resolution, rapid product delivery, has open access for all imagery [46], and has become the most common source used in different applications that exploit wet snow information [19,[47][48][49].
From a water resources perspective, finding a relationship between this onset and the streamflow response can help forecast streamflow behavior due to runoff melting [50,51].In fact, the actual warming situation is altering this timing and increasing the need of a correct representation of this onset [52,53].However, the paths followed by runoff melting water for reaching the stream are multiple and difficult to differentiate [54].In general, runoff melting water after leaving the snowpack arrives at the upper part of the soil [55].From there, meltwater infiltrates the soil and/or accumulates to form a saturated zone at the base of the snowpack, moving toward a surface-water body following different paths that are conditioned by soil characteristics [56].If soil is unsaturated and the water table is low, the water Infiltrates and moves stream ward as a subsurface flow.On the contrary, if the soil is close to the saturation state, meltwater accumulates to form a basal-saturated zone that develops within the snowpack through which water flows toward the stream [11].One can therefore conclude that melting dynamics are directly linked to the baseflow response of the catchment [57].
Few studies have connected the dynamics of wet snow and its impact on water availability [58].In addition, most of them were carried out in environments where the snowpack normally is well consolidated during the winter.That is, the snowpack has thick depths and generally a unique snowmelt cycle during the springtime.On the contrary, Mediterranean mountains, located in semi-arid regions, are unlikely to have just one accumulation-melting cycle and suffer such slow transitions [2,4,5,59].Indeed, in these areas, the main characteristics are generally quicker snowpack changes, several melting cycles throughout the year, and perhaps the loss of some of the three theoretical melting phases due to this quick response [3,60].This higher Mediterranean frequency of accumulation-melting events will have a different characterization compared to those previously analyzed in other temperate regions, such as the Alps [35,43,61].Therefore, there is still a gap when analyzing wet-snow dynamics in semi-arid regions.There is the need for a deeper understanding of wet-snow dynamics that assesses if the outcomes found in other regions for the spring melting are reproducible in the rest of the melting cycles which occur throughout the snow season.Therefore, the main objective of this study is twofold: first to explore the capability of C-band S-1 SAR imagery to capture multiseasonal wet-snow dynamics over Mediterranean mountain areas and second, to apply a hydrological approach to assess the connection between these wet-snow dynamics and streamflow response.In this work, the main innovative parts are (i) the use of terrestrial photography in combination with multitemporal S-1 SAR imagery to understand SAR backscattering at the plot scale; (ii) the use of S1-SAR imagery to monitor the full snow season, thus highlighting different melting cycles; (iii) the use of S1-SAR imagery to foresee changes in streamflow dynamics at catchment scale.The Sierra Nevada mountain range (southern Spain) is selected as a pilot Mediterranean mountain area to carry out this study.
The paper is structured into five remaining sections.Section 2 presents the test sites at a local and catchment scale.It also includes the meteorological data available as well as the remote sensing information used.In Section 3, we present the different steps of the proposed approach to detect Wet-snow conditions and the definition of melting cycles.The results are rendered in Section 4, focusing on local and catchment scales.In Section 5, we discuss the main results.Finally, Section 6 draws the conclusions of this work by providing information on how the proposed methodology can be extended to other semiarid mountains.

The Sierra Nevada Mountain Range
The Sierra Nevada mountain range (southern Spain, Figure 1a) is the southernmost mountain range in Europe, with elevations that reach 3479 m a.s.l. and this is only overcome by the European Alps.It covers approximately 80 km long in the East-West direction and 27 km wide in the North-South direction (Figure 1b).Alpine and Mediterranean climates coexist in the range.The alpine climate of high altitudes is modified by the proximity to the seacoast together with an abrupt topography, high radiation rates, and low relative humidity.The precipitation regime is highly variable, with annual precipitation values that can vary from dry years, with 200 mm of total precipitation, to wet years, with almost 1000 mm [2].Regarding temperature, the annual mean daily temperature in the area is about 12.6 • C, with minimum daily temperatures staying above freezing from April to November [62].Snow in the range frequently appears above 2000 m a.s.l. between October and May.Mediterranean boundary conditions deeply affect snow characteristics, remarkably so in the southern face of the range.Among these characteristics, the shallow and high-density snowpacks [63], the high evaposublimation rates [6], and the appearance of more than one accumulation-melting cycle during the snow season [3] are the ones that stand out the most.Streamflow in the downstream catchments is highly conditioned by these snow dynamics.Streamflow usually has several peaks linked to each one of the accumulation-melting cycles.
vegetation such as pine trees is not very common and can be found only in some reforested isolated pieces of land.All these physical and specific characteristics make the Sierra Nevada one of the most important centers of biodiversity in the Mediterranean regions.Thus, this region was declared UNESCO Biosphere Reserve in 1986, Natural Park in 1989, and National Park in 1999.Within the Sierra Nevada mountain range, this study was carried out with two different scales by using two study sites: -Plot scale-The Refugio Poqueira experimental site (Figure 1c, yellow cross).This area was selected to understand the connection between backscatter signals and snow dynamics.It is located at 2500 m a.s.l. and has been highly monitored since 2004, focusing on the microscale effects of snow ablation in Mediterranean mountains.The experimental site is equipped with a complete weather station (Table 1); -Catchment scale-The Poqueira Alto catchment (Figure 1c).This catchment was selected as a study site to connect wet-snow dynamics with streamflow response.It is a small catchment (54.91 km 2 ) corresponding to the headwaters of the Poqueira River.With a mean elevation of 2513 m a.s.l., its hydrological response is totally driven by snow dynamics (Table 1).Low, creeping vegetation and shrubs are the main vegetation in the area, particularly at upper altitudes.The Hormathophylla spinosa, the Genista versicolor, and the Festuca clementei are the most common shrub types in the mountain range.Forestry high vegetation such as pine trees is not very common and can be found only in some reforested isolated pieces of land.All these physical and specific characteristics make the Sierra Nevada one of the most important centers of biodiversity in the Mediterranean regions.Thus, this region was declared UNESCO Biosphere Reserve in 1986, Natural Park in 1989, and National Park in 1999.
Within the Sierra Nevada mountain range, this study was carried out with two different scales by using two study sites: − Plot scale-The Refugio Poqueira experimental site (Figure 1c, yellow cross).This area was selected to understand the connection between backscatter signals and snow dynamics.It is located at 2500 m a.s.l. and has been highly monitored since 2004, focusing on the microscale effects of snow ablation in Mediterranean mountains.The experimental site is equipped with a complete weather station (Table 1); − Catchment scale-The Poqueira Alto catchment (Figure 1c).This catchment was selected as a study site to connect wet-snow dynamics with streamflow response.It is a small catchment (54.91 km 2 ) corresponding to the headwaters of the Poqueira River.With a mean elevation of 2513 m a.s.l., its hydrological response is totally driven by snow dynamics (Table 1).

Available Data
This study was carried out for 4 hydrological years, from 2016-2017 to 2019-2020.The 3 first years were used to understand wet-snow dynamics and their connection to streamflow.The last year was used as an evaluation year to test our findings.Three data sources have been used in this study: meteorological information, remote sensing imagery, and streamflow simulations.

Meteorological Information
Records from the Refugio Poqueria weather station (PG2, [64]) were used in the study at the plot scale.This weather station is equipped with different sensors that generate 5 min data records pertaining to precipitation, solar radiation, long-wave radiation, wind velocity, temperature, air humidity, and atmospheric pressure.Data aggregated on a daily scale were used in this study.
At the catchment scale, meteorological daily information from the three nearest weather stations (Figure 1, small blue dots) has been interpolated by spatial algorithms that consider topographic effects and aggregated at the catchment scale.Specific spatial interpolation algorithms for each of the available variables were used [65].Precipitation-elevation linear gradients have been locally defined for each variable (i.e., precipitation, temperature, and radiation) by using historical datasets and a least square error method.Thereafter, the residuals were calculated by using linear gradients.The square inverse distance weighting (IDW2) was used for interpolation by using the three closest stations and added to the theoretical value calculated using the linear gradient [65][66][67].This data has been used for computing average meteorological information at the catchment scale.

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Terrestrial photography Terrestrial photography from a camera, a CC640 Campbell Scientific, installed at the Refugio Poqueira weather station, was used in this study at the plot scale to improve the understanding of wet-snow dynamics.The images acquired by the camera cover an area of about 30 m × 30 m (equivalent to the spatial resolution of the Landsat TM sensors).The camera takes 5 pictures a day, every 2 h from 8:00 AM to 16:00 PM, with a resolution of 640 × 504 pixels.Following the methodology proposed by [3], snow cover area (SCA) time series were derived and used in this study.Automatic inspection was carried out to remove those images of bad quality due, for instance, to cloud cover, fog, or rain.

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Sentinel-1 SAR imagery The S-1 two-satellite constellation was used in this study.It can collect C-band SAR imagery with different polarizations and pixel resolutions with a revisit time of 6 days.In our analysis, the interferometric wide swath mode was used with a 3.5 m × 22 m resolution.The Sierra Nevada mountains are covered by two specific satellite orbits: orbit 1 in the afternoon and orbit 81 in the morning.These orbits result in a local incidence angle range of approximately 35 • (in the afternoon) and 36 • (in the morning).This range is crucial because it falls within the threshold where backscatter signals, specifically the co-polarized and cross-polarized backscatter (VV and VH), exhibiting optimum results according to both backscatter data and theoretical considerations [68,69].This study has focused on the afternoon images as they offer a clearer identification of the snowmelt phases while the morning acquisitions can be affected by a melt-freeze component.The local acquisition time is approximately 18:10 GMT+1.In total, 30 scenes in the 2016-2017 period, 51 scenes in the 2017-2018, 42 scenes in the 2018-2019 period, and 49 scenes for the last year were processed and analyzed.

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Optical MODIS data: MOD10A2 Snow product The MOD10A2 version 006 product was used to assess snow dynamics at the catchment scale.This product has an 8-day composite and 500 m × 500 m spatial resolution.This MODIS product was selected because it offers the possibility of a long and consistent time series.Despite the spatial resolution being coarser than other optical sensors, for instance Sentinel 2 or Landsat, using the MOD10A2 guarantees the availability snow cover information every 8 days.This temporal resolution is close to the 6 days revisiting time of S1-SAR.A total of 156 scenes were employed in the study period from 2016 to 2020.Furthermore, the MODIS snow products have undergone comprehensive global validation, achieving an overall accuracy of 94.2% when MODIS daily snow products were compared to ground data [70,71].Studies conducted in mountainous regions, such as those by [72,73], suggest that the accuracy levels are not influenced by land cover or topography.Instead, the errors tend to be higher in winter compared to spring and summer periods.

Streamflow Data
Simulated streamflow data from WiMMed (Watershed Integrated Model for Mediterranean Environments) were used [67].WiMMed distributed a physically-based model that is composed of several modules.Among them, the snow module (SnowMed) uses a punctual mass and energy balance extended to a distributed scale using depletion curves [3].Actual evapotranspiration is calculated using Penman-Monteith PE formulation [74,75], whereas infiltration is estimated using the Green and Ampt [76] approach in a two-layer soil discretization.Groundwater modeling is based on a two-stage linear model, one being the slow aquifer response and the other the fast aquifer response which will have a faster impact on flow [77].The model was designed and developed especially for arid Mediterranean environments.Specifically, it was calibrated and validated in Sierra Nevada.The statistical results obtained after comparison of the model and the measured flow values were a Pearson correlation coefficient of 0.84, a Kling Gupta Efficiency (KGE) of 0.59 for the daily flow values, and an average absolute bias in the daily discharge of the river of 1.9 m 3 /s [78].WiMMed simulates the different streamflow components.In this study, we used baseflow due to its connection to melting dynamics.In addition, snow simulations were used to characterize SWE values over certain targeted periods.

Methodology
The methodology used is composed of two main parts: (i) definition of snowpack wet-snow dynamics and (ii) assessment of hydrological implication of wet-snow dynamics.The identification of melting cycles was used as a first step to determine the periods of time when snow can significantly impact streamflow.The overall flow of the procedure is illustrated in Figure 2. The inputs are SAR and MODIS images for section (i); the cycles are the results of the first step that is then used as an input to be interpreted on a local scale (ii); and at a sub-basin scale (iii).

Definition of Snowpack Wet-Snow Dynamics
A preprocessing of SAR and optical imagery was carried out to define wet snow (Section 3.1.1)and snow cover (Section 3.1.2)dynamics, respectively.Both inputs were combined to identify snow melting cycles (Section 3.1.3).Once melting cycles were defined, runoff melting onset definition was performed (Section 3.1.4).The snowpack The inputs are SAR and MODIS images for section (i); the cycles are the results of the first step that is then used as an input to be interpreted on a local scale (ii); and at a sub-basin scale (iii).

Definition of Snowpack Wet-Snow Dynamics
A preprocessing of SAR and optical imagery was carried out to define wet snow (Section 3.1.1)and snow cover (Section 3.1.2)dynamics, respectively.Both inputs were combined to identify snow melting cycles (Section 3.1.3).Once melting cycles were defined, runoff melting onset definition was performed (Section 3.1.4).The snowpack runoff melting onset was calculated at two scales: (i) plot scale, for runoff melting onset understanding and (ii) catchment scale, for runoff melting onset maps definition (Figure 2).

SAR Processing
In this study, we followed the change detection approach by Nagler and Rott [34,79,80] to differentiate wet snow phases within the snowpack.The SAR intensity signal depends on the following parameters: (i) the sensor characteristics; (ii) the snowpack properties; and (iii) the ground properties.The interaction of the SAR signal with the snowpack is determined by the presence of water particles in the snowpack.As moisture increases, the SAR backscattering reduces in intensity since part of it is absorbed by the water particles [43,80,81].The followed approach foresees the use of two images (i) a reference image acquired during snow-free or dry conditions [19,34,47,80,82]; and (ii) an image of the period of interest, such as the melting season.The difference of the two images allows the detection of main changes such as those related to wet snow presence and reduces the influence of other factors such as the topography.In this direction, the two images need to be acquired with the same geometry [83].The methodology can be described in three main steps: (i) SAR image preprocessing; (ii) reference image selection; and (iii) wet-snow threshold definition.

• SAR image preprocessing
The time serial S-1 SAR images were processed to obtain the operable ortho-corrected product with a pixel size about 10 m × 10 m [84].We use the Google Earth Engine platform, which included the S-1 Toolbox to preprocess the "COPERNICUS/S1 GRD" collection.In particular, the interferometric wide swath (IW) with polarization VH was chosen.The cross-polarization VH was selected because it is highly sensitivity to changes in water content and therefore sensitive to wet snow within in the snowpack [43,44,85].The preprocessing applied in GEE consists of (i) GRD border noise removal, (ii) thermal noise removal, (iii) radiometric calibration, and (iv) terrain correction.Moreover, a threshold filter of −25 dB was applied to consider the noise floor of the sensors [86,87].Additionally, areas in layover and shadow considering the local incidence angle (LIA) for each pixel were masked [88].SAR images were resampled to 30 m × 30 m using areal interpolation.This resolution was considered optimal for snow studies over this area [3].In addition, this spatial resolution contributes to reducing the speckle noise in S-1 SAR imagery.

• Reference image selection
The derivation of wet snow pixels in a certain area was based on a change detection approach by comparing the image under analysis with a reference image [79,80], which was acquired with the same geometry on a date where the areas were supposed to be covered by dry snow or non-snow.This approach has the advantage of removing common features of the images such as topography that can influence the backscatter signal.Therefore, the first step was the definition of this reference image.For this reference image, two approaches have been used, either using images where it is certain that the snow is dry, for example in the month of January, or images where there is no snow such as July or August [34,79,80,89,90].This is due to the fact that the backscattering in both cases is similar as dry snow is transparent for a C-band signal [48,91,92].Therefore, it was important to objectively define our period of reference.A sensitivity analysis was carried out to identify the best period for the reference images [93].Indeed, the characteristics of the snow in this Mediterranean area, with several accumulation-ablation cycles throughout the year and in general quick melting processes, makes it difficult to select a dry-snow winter image.Therefore, we selected several summer images in four combinations: (1) the average value of all the summer months of the subsequent year; (2) the average value of only the images that have 15 previous days without rain of all the summer months of the subsequent year; (3) the average value of all the summer months of the previous year; and (4) the average value of only the images that have 15 previous days without rain of all the summer months of the previous year.
The results of the sensitivity analysis indicated that no big differences were found between the four options tested when selecting reference imagery (Figure A1, see Appendix A).When analyzing them in pairs, the average difference was 0.34 dB, ranging from 0.33 to 0.36 dB.Finally, we decided to select the average value of the previous summer as reference dataset.There were two reasons: its calculation simplicity and the fact that this constitutes antecedent information to the analyzed snow season and therefore can be used in near real-time applications.

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Wet-snow threshold definition Once the difference image (∆σ) is derived, the threshold to identify Wet-snow conditions needs to be fixed.Thresholds in the range from −2 to −3 dB have been previously applied [34,94].However, the particularities of Mediterranean mountain landscapes and seasonal behavior require a re-testing of the threshold in order to analyze dry and wet snow in these areas and to compare the results with other study areas.make this threshold difficult to verify.This wet-snow threshold was obtained by evaluating the two distributions of wet snow and dry/non-snow pixel values and identifying where they overlapped [80,90,95].This overlapping defines the minimum threshold value to identify whether a pixel is dry or wet.
In our case, more than 2500 pixels of the area of the Sierra Nevada were chosen as regions of interest and their statistics were calculated to finally obtain this threshold value.Different dates were chosen from several years.This allowed us to consider more than one type of snow conditions and more than one season, making the results more robust.The selected scenes correspond to the following dates: Based on this result and for reasons of simplicity, we have used a −3.00 dB threshold.

Cross-Evaluation
To evaluate the accuracy of the retrieved wet snow maps, we followed the methodology proposed by [34].This approach uses snow cover maps derived from Landsat, which have been commonly employed as benchmarks for assessing snow maps across different sensors [96].The method assumes that on dates in which all snow is wet, both maps should coincide.To assure this hypothesis, we have chosen for the comparison late dates during the long-lasting spring melting cycle.In this way, a uniform warming of the snowpack without it undergoing cooling processes in the higher layers is guaranteed.Seven dates were chosen according to the coincidence within a 2-day time window, ensuring the availability of both datasets: In this comparison, an elevation threshold was applied to wet snow maps to remove single outlier pixels at low elevation.This threshold corresponded to the snow line, which was defined for each wet snow map as the elevation when a significant change was observed in the normalized elevation histogram of the image.Binary Landsat snow cover maps were generated using the methodology proposed in [4] for the study area and assuming that a pixel was covered by snow if the percentage was greater than 0.75 [34].A distributed analysis was carried out obtaining a general accuracy of 0.79 (Table A1, see Appendix A).

• Optical snow cover extension discrimination
The MOD10A2 version 006 product is used to discriminate snow cover extension.This product provides information on the snow cover extent based on the NDSI (Normalized Difference Snow Index) value with a 500 m × 500 m ground resolution.A pixel is considered a snow pixel if its NDSI value is above zero [22,97,98].Snow cover extension maps were also resampled at 30 m × 30 m using, in this case, a nearest neighbor interpolation algorithm.

Snow Cover Dynamics Definition
Accumulation and melting phases of snow cycles throughout the study period were defined at the two different study scales.At a local scale, terrestrial photography was used to characterize these cycles.In addition to the fractional snow cover (FSC), these images were used to evaluate whether it was snowing, melting, or if no-changes occurred in the snowpack.Increasing and decreasing stages defined accumulation and melting phases, respectively.MOD10A2 version 006 products were used to characterize snow dynamics at the catchment scale.

Melting Cycles Definition
A snow-melting cycle generally has three phases: (i) moistening, (ii) ripening, and (iii) melting runoff [11].First, in the moistening phase, in which average snowpack temperature increases until the snowpack is isothermal, the snowpack is accumulating energy in the form of latent heat in order to be able to start melting.Second, in the ripening phase, the actual melting begins but the meltwater is retained in the snowpack.That is, the liquid water content of the snowpack increases, but water does not go out of the snowpack.Third, in the melting-runoff phase, further energy inputs produce a water output from the snowpack.From that time onwards, water follows its path until reaching the streamflow.
Wet-snow conditions can be detected by using SAR imagery and therefore relate these states with melting phases in the snowpack.For that, over the ∆σ signal, we defined a pixel as a wet snow pixel if it has a value lower than −3.00 dB (see Section 3.1.1).In each melting cycle, we defined the Local Minima (LMs) of the ∆σ time series as possible melting-runoff onsets [43].More than one LMs can be identified in the same melting cycle depending on the aging process of the snowpack (i.e., snowpack refreezing, rain on snow events).
At a catchment scale, individual pixels' LMs were aggregated.That is, for each date, the total number of pixels with LMs in the catchment was calculated (ΣLM).The time series of this ΣLM defines the potential area of the catchment contributing to the melting runoff in each date.A larger number of ΣLM implies larger snow contributing areas to the melting runoff.The melting cycles were defined combining the ΣLM time series with the FSC time series (see Section 3.1.2).A melting cycle was defined if there was an increase in the number of pixels with ΣLM and FSC was maintained or decreased (Figure 3).That is, the existence of large amounts of minima during a date with significant loss of snow area confirm the possible contributions of water to the system.Then, for each melting cycle the absolute LM within the melting cycle was identified.This LM will provide the actual melting runoff onset for each pixel in this cycle, which is the Local Minima onset (LMo).
Remote Sens. 2023, 15, x FOR PEER REVIEW 10 of 34 runoff in each date.A larger number of ΣLM implies larger snow contributing areas to the melting runoff.The melting cycles were defined combining the ΣLM time series with the FSC time series (see Section 3.1.2).A melting cycle was defined if there was an increase in the number of pixels with ΣLM and FSC was maintained or decreased (Figure 3).That is, the existence of large amounts of minima during a date with significant loss of snow area confirm the possible contributions of water to the system.Then, for each melting cycle the absolute LM within the melting cycle was identified.This LM will provide the actual melting runoff onset for each pixel in this cycle, which is the Local Minima onset (LMo).On a local scale, we identified the onset of melting runoff when LM takes place.We used this scale to understand the relationship between the backscattering signal, the presence of wet snow pixels, and the snow dynamics.For that, we used the meteorological

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Local Scale Runoff onset interpretation On a local scale, we identified the onset of melting runoff when LM takes place.We used this scale to understand the relationship between the backscattering signal, the presence of wet snow pixels, and the snow dynamics.For that, we used the meteorological information of the Refugio Poqueira weather station and the terrestrial photography of the area.In this process, these images were used not only to define snow dynamics, but also to better understanding snow processes.That is, they helped relating changes in the snowpack to changes in backscattering signals; for instance, the identification of rapid snow melting between two consecutive SAR images, the occurrence of rain on snow events, and the changing in snow surface roughness.

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Snowpack runoff onset maps At the catchment scale, for each pixel of the catchment and for each one of the identified cycles, we defined the Lmo.This date will mark the onset of the melting runoff of this pixel [43].At the catchment scale, we ended up with a distributed map that provides the beginning of the melting runoff, Lmo, for each pixel in the whole catchment.To understand the distribution of those dates over the catchment in each cycle, a combined analysis in relation to catchment features (e.g., elevation) and variables affecting the beginning of the melting runoff (e.g., radiation, temperature) was conducted.

Wet Snow-Streamflow Interaction
We analyzed the relationship between wet snow presence and streamflow dynamics with the aim of assessing the potential of S-1 SAR imagery to foresee changes in streamflow.For that, we used the concept of a depletion curve which is highly used in hydrology; for instance, for studying the evolution of snow cover [3] and its relationship with streamflow [99][100][101] or its relationship with SWE [102].To build these curves, we used two variables: (1) the cumulative number of pixels contributing to melting runoff in each cycle (ΣLMo), which represents wet-snow dynamics; and (2) the cumulative baseflow, which represents streamflow dynamics.Baseflow is used since it is the component of the streamflow that is more influenced by the melting dynamics.To make the depletion curve between cycles comparable, we dimensionless the target variables by their maximum value in each of the analyzed melting cycles.4a-c, upper panel).This variability implies that the number of snow cycles also varies in each of the analyzed years.These snow dynamics were defined by combining terrestrial photography (changes in the snowpack) and meteorological information (snowmelt events) on a daily scale at the target area (see Section 3.1.2). Figure 4 shows lines in the top and bottom of each gray rectangle identifying an accumulation (blue) or melting (red) phase of each of this snow cycle (Figure 4, gray rectangles).In 2016-2017 (Figure 4a), six LMs were identified, four in the first melting cycle, one in the second cycle, and another one in the third.LM1 (−4.11 dB) was found in the third week of November corresponding to the beginning of the snow season.At this stage, the energy exchange between the snowpack and the ground increased the liquid water content of the snowpack, reaching this local minimum in the ∆σ signal.Water content highly increased in LM2 (−8.83 dB), 5 December, with the lower ∆σ value of the year.This LM was preceded by a significant snowfall period, which was followed by a rain-on-snow event and an increment of the temperature that increased the water content again.The coolest period occurred after that, which made the snowpack to dry out.A significant increase in temperatures provoked LM3 (−3.62 dB) in the second week of December.Again, a cool period stabilized the signal until the combination of precipitation and increasing temperatures generated LM4 (−6.40 dB), on the 21st of February, which can be defined as the onset of spring melting runoff.LM5 (−4.11 dB) and LM6 (−5.21 dB) corresponded to faster melting cycles, whose shallow snowpack provoked a quick melting due to the energy exchanges between the snowpack and the ground.

Definition of Snowpack
For the second analyzed year, 2017-2018 (Figure 4b), four LMs were identified, one in the first melting cycle, one in the second cycle, and two in the third one.The first local minimum LM1 (−4.70 dB) was found in mid-December and corresponded to a shallow snowpack that quickly melted after a light snowfall.For the second melting cycle, liquid water content increases in LM2 (−4.36 dB) corresponding to an increase of the temperatures.However, the melting did not continue since the temperature dropped again.The ∆σ signal was not able to capture the onset of the melting runoff of this cycle since it occurred in the period between images.For the last cycle of this year, wet snow was present since the beginning of the cycle due to higher temperatures during this period.Two LMs were found, while the melting onset started on the 5 April, with LM3 (−11.57dB), in which the snowpack was cooled by a snowfall event that made the appearance of another local minimum LM4 (−9.81 dB) that finally triggered the spring melting.
The third analyzed year, 2018-2019 (Figure 4c), was the driest of the analyzed ones.Seven short melting cycles were identified.One LM is defined in each of them.All LMs follow the same dynamics, quick melting after a light snowfall.The first cycle was so quick that the ∆σ signal was not able to capture the presence of wet snow.That is, LM1 was above the wet-snow threshold of −3.00 dB.The ∆σ signal reached values of −3.63 dB for LM2 and −7.86 dB for LM3, and the ∆σ rapidly recovered its values by the time the snow cover disappeared.Then, between late January and February, two LMs were identified, LM4 (−4.21 dB) and LM5 (−5.81 dB).LM6 (−5.85 dB) can be identified as an actual spring melting runoff onset since the length of this melting cycle is the longest and the accumulated snow was the highest of the year.Finally, the last LM occurred during April LM7 (−5.97 dB) was triggered again by an energy exchange between the snowpack and the ground, demonstrated by higher temperatures that heated the ground.

• Local Minima Classification
The previous analysis of ∆σ signals evolution on a local scale and the identification of different LMs allowed for an explanation of their evolution in relation to snowpack dynamics over these areas.Starting with the hypothesis that a LM triggers the onset of melting runoff and the four types of melting cycles identified by [3] for the study area, four types of LMs in the ∆σ signal were identified (Table 2 and Figure 5).
The previous analysis of Δσ signals evolution on a local scale and the identification of different LMs allowed for an explanation of their evolution in relation to snowpack dynamics over these areas.Starting with the hypothesis that a LM triggers the onset of melting runoff and the four types of melting cycles identified by [3] for the study area, four types of LMs in the Δσ signal were identified (Table 2 and Figure 5).- Local Minimum Type I: the LM is found at the end of a well-developed snowpack.It is representative of long-lasting snow cycles, with a large amount of snow, resulting from a long accumulation phase, and it is associated with a very compact state of the snow with a high level of metamorphism.This LM is found in melting cycles described by depletion curve Type I in [3]; -Local Minimum Type II: the LM is not unique in the snow cycle.It describes a quick melting period that is stopped by another snowfall or cold period that refreezes snow.This LM is found in melting cycles described by depletion curve Type II in [3]; -Local Minimum Type III: the LM is unique within the melting cycle, that is, before and after this LM there is no snow.In addition, it takes place at the beginning of the snow season, when the energy exchange between the snowpack and the ground causes liquid water content to increase.This LM is found in melting cycles described by depletion curve Type III in [3]; -Local Minimum Type IV: as in the previous case, the LM is singular, meaning that there is no snow before or after this particular LM.However, in this case, the minimum appears in sporadic snow cycles that occur during late winter or spring, − Local Minimum Type I: the LM is found at the end of a well-developed snowpack.
It is representative of long-lasting snow cycles, with a large amount of snow, resulting from a long accumulation phase, and it is associated with a very compact state of the snow with a high level of metamorphism.This LM is found in melting cycles described by depletion curve Type I in [3]; − Local Minimum Type II: the LM is not unique in the snow cycle.It describes a quick melting period that is stopped by another snowfall or cold period that refreezes snow.This LM is found in melting cycles described by depletion curve Type II in [3]; − Local Minimum Type III: the LM is unique within the melting cycle, that is, before and after this LM there is no snow.In addition, it takes place at the beginning of the snow season, when the energy exchange between the snowpack and the ground causes liquid water content to increase.This LM is found in melting cycles described by depletion curve Type III in [3]; − Local Minimum Type IV: as in the previous case, the LM is singular, meaning that there is no snow before or after this particular LM.However, in this case, the minimum appears in sporadic snow cycles that occur during late winter or spring, and always after the main melting cycle.The LM is connected to a melting trigger by an increase in the temperature and incoming flux of shortwave radiation.This LM is found in melting cycles described by depletion curve IV in [3].

Catchment Scale: Melting Runoff Onset Maps
The plot scale results were extrapolated at the catchment scale.The individual analysis carried out for a single pixel was performed in each of the pixels of the selected catchment for the 3 hydrological years analyzed (Figure 6a,b, Figure 7a,b and Figure 8a,b).First, melting cycles were identified following the methodology proposed in Section 3.1.3.Three melting cycles were defined for the first 2 hydrological years, while four melting cycles were defined in the third hydrological year analyzed (Table 3).The duration of these cycles varied within the year (Table 3).While for the years 2016-2017 and 2017-2018, a long-lasting spring melting cycle was identified (C-3 in each year), and in the case of last year, 2018-2019, three were the melting cycle with longer duration (C-2, C-3 and C-4).Each of these cycles was associated with an increasing event of baseflow in the outlet of the catchment, which was delayed a certain number of days depending on the cycle (Figure 6c, Figure 7c and Figure 8c).A deeper connection between streamflow and melting cycle is analyzed in Section 4.2.
For each of these cycles, the Lmo in each pixel was identified as the melting runoff onset over the catchment to produce individual maps of Lmo distribution (Figures 6-8, bottom panels).
The first cycle of the year 2016-2017 (Figure 6(c-1)) showed that pixels at a low elevation reached first the Lmo.These Lmos were identified as an LM Type III, that is, they corresponded to shallow snowpack where melting takes place due to an energy exchange between the snowpack and the ground.Pixels at high elevation were distributed without a clear pattern along the other three dates of the cycle.In this case, the melting took place as a consequence of an increase in temperature and radiation (Figure A5, see Appendix A).The Lmo map for the second melting cycle of this year (Figure 6(c-2)) took place during the winter months.Therefore, the colder temperature during this month reduced the number of wet snow pixels during this cycle (non-white pixels in the Lmo maps).Again, the pixels at a lower elevation were those which contributed first to the melting runoff.These LMs were classified also as LM Type III.It is interesting to highlight that some pixels at high elevation also reached their Lmo at the beginning of the melting cycle.This Lmo was classified as Type II, that is, the LM is reached just after the snowfall, but the melting process stopped by a colder temperature that refreezes the liquid water in the snowpack.Finally, the third cycle (Figure 6(c-3)) showed the expected behavior of a spring melting cycle with a clear increase in radiation and temperature during the melting cycle (Figure A5, see Appendix A).The Lmo was delayed with elevation, and the later the Lmo took place the higher its location was.All Lmos in this cycle corresponded to LM Type I.
The behavior of the melting cycles of the hydrological year 2017-2018 differed from those described for 2016-2017.In this case, three complete snow cycles took place, that is, snow completely disappeared after each of them.Snowfall took place at the beginning of each cycle followed by an increasing pattern in radiation and temperature that favored the melting (Figure A5, see Appendix A).Just small isolated snow patches remained at high elevation during C-1 and C-2.The three Lmo maps showed a direct correlation between Lmo date and elevation.C-1 (Figure 7(c-1)) and C-2 (Figure 7(c-2)) took place at the beginning of the winter.The relatively small snowfall in these cycles is about 30 mm (Table 3), and the mild temperatures, from 0 • C to 7.5 • C, produced shallow snowpacks that quickly melted.Lmos for pixels at low elevation followed the typology of LM Type III.On the contrary, Lmos at high elevation were better characterized as LM Type I.The third cycle (Figure 7(c-3)) clearly followed the common patterns of a spring melting cycle.It is interesting to highlight that the snow accumulated in this melting cycle occurred in two separate events.The first took place in the whole catchment while the second was just at higher elevation.Therefore, Lmos at low elevation corresponded to the snowpack of the first snowfall event, while Lmos at high elevation corresponded to snowpack accumulated from both snowfall events.Therefore, we can say that Lmo and low elevation corresponded to LM Type III and LM at higher elevation to LM Type I. Isolated pixels at higher elevation show the Lmo corresponding to initial dates and therefore they can be classified as LM Type II (orange pixels at high elevation).Four melting cycles were identified in the third analyzed year 2018-2019 (Figure 8).While the duration of these cycles was generally longer than in 2017-2018, the total snowfall amount in each of them was much lower.That drove into shallower snowpacks than in previous years which lasted longer due to their timing, earlier in the year, and at lower temperatures than in 2017-2018 (Table 3).The correlation between Lmo date and elevation, as in previous years, was also found.This general pattern was not followed by some isolated pixels at high elevations.As in previous years, these Lmos appeared just after the snowfall and were initially melted due to an energy exchange between old and new snow (LM Type (ii)) that then refroze due to the snowpack cooling down.

Wet Snow and Streamflow Interaction
To understand better how wet-snow dynamics are connected to baseflow, a depletion curve was drawn.Only melting cycles with a duration higher than 48 days were chosen for this analysis, thus supporting the representativeness of the analysis having enough S1-SAR images per analyzed cycle.
All these curves show a similar shape that can be described like a piecewise function composed by three parts (Figure 9): − Part 1 is represented by a linear and an almost horizontal function.Here, there is a high increase in the number of wet snow pixels with almost no change in baseflow response.Hence, this part reflects the delay observed between the beginning of the melting period and the actual response in the river; − Part 2 can be represented by a power function.In this case, there is an increasing pattern in both variables, which means that both processes, the melting and the baseflow response were occurring at the same time; − Part 3 follows again a linear function, but in this case, with a vertical pattern.Therefore, the behavior here is the opposite compared to Part 1, that is, we observe an increase in baseflow with limited contribution of wet snow pixels.Then, this part represents the time when almost no contribution from wet snow is happening but baseflow is still contributing to the streamflow.
The black symbols over the curves verified this temporal pattern.For example, in the blue curve that represents the 2017-2018, each of them marks the 25% (•), 50% (×), and 75% (+) of the total time of each cycle.These black symbols are almost aligned in all curves and marks approximately for each case the beginning and end of the three parts of the piecewise function explained above.
Moreover, and despite observing this common shape for all curves, these three defined parts were smoothed toward a unique linear pattern when we move from right (brown curve) to left (blue curve) in Figure 9.These differences are connected to the total amount of snow storage during the accumulation period of each melting cycle.For the same number of wet snow pixels, the blue curve generates a considerably higher amount of baseflow than the brown curve.Since S-1 SAR imagery was able to detect wet snow pixels but not the total liquid content stored in the snowpack, the observed patterns suggested that SWE in the blue curve was higher than in the brown one.When analyzing the maximum SWE achieved in each of the accumulation cycles that preceded each of the observed melting cycles, this hypothesis was verified.The blue curve had a maximum SWE of 184 mm while the brown one reached just 43 mm (Table 3).Extending this analysis to the rest of the cycles, we observed that the pattern is fulfilled, from left to right, for blue (184 mm), green (78 mm), orange (61 mm), purple (52 mm), and brown (43 mm).That is, the higher the maximum SWE achieved in the snow cycle, the more linear relationship between wet snow pixels contributing to the runoff and baseflow is found.This pattern was also verified when analyzing the time when the peak in baseflow was achieved for each cycle (red triangles over each curve in Figure 10).A lower number of wet snow pixels generating runoff were needed to achieve the maximum baseflow peak.The linear relationship found for long-lasting melting cycles was explored deeply to analyze the potential of S-1 SAR imagery to foresee streamflow dynamics.Previous studies in the area highlighted that despite the absence of aquifers in a strict sense, the highly fractured nature of the lithology results in a highly permeable surface structure that delays snowmelt water inflow into the river [103].To analyze this delay, we used two variables that can be computed in near real-time: the number of wet snow pixels, which represented the melting dynamics, and the baseflow at the outlet of the catchment which represented the streamflow response.Then, for each melting cycle, we calculated this delay as the number of days between the date when the number of wet snow pixels was maximum and the date when maximum baseflow was achieved.A delay of 21, 13, and 30 days for each of the three cycles was found, respectively.After applying this delay, correlation between wet snow pixels and baseflow was computed using the determination coefficient (R 2 ) (Figure 10).R 2 ranged between 0.62 and 0.83.Therefore, a linear relationship was hypothesized between the variables (Figure 10).The slope of the line (baseflow/number of wet snow pixels) indicates the speed of wet snow pixels transformed into baseflow.Shorter melting cycles implies a lower slope, that is, a lower speed.This finding is in line with previous results, where the maximum baseflow peak (red triangles in Figure 9) was observed earlier in cycles with higher maximum of SWE than in those with a lower maximum SWE.Finally, to verify our findings, we analyzed a totally independent melting cycle from a fourth hydrological year, 2019-2020.This cycle had a duration of 78 days, from 19 March 2020 to 5 June 2020, and a maximum SWE of 50 mm.The shape followed a similar pattern than previous melting cycles.Moreover, it had similar timing and a maximum SWE and hence, it was placed close to the purple curve, which reached a maximum SWE of 52 mm.
The linear relationship found for long-lasting melting cycles was explored deeply to analyze the potential of S-1 SAR imagery to foresee streamflow dynamics.Previous studies in the area highlighted that despite the absence of aquifers in a strict sense, the highly fractured nature of the lithology results in a highly permeable surface structure that delays snowmelt water inflow into the river [103].To analyze this delay, we used two variables that can be computed in near real-time: the number of wet snow pixels, which represented the melting dynamics, and the baseflow at the outlet of the catchment which represented the streamflow response.Then, for each melting cycle, we calculated this delay as the number of days between the date when the number of wet snow pixels was maximum and the date when maximum baseflow was achieved.A delay of 21, 13, and 30 days for each of the three cycles was found, respectively.After applying this delay, correlation between wet snow pixels and baseflow was computed using the determination coefficient (R 2 ) (Figure 10).R 2 ranged between 0.62 and 0.83.Therefore, a linear relationship was hypothesized between the variables (Figure 10).The slope of the line (baseflow/number of wet snow pixels) indicates the speed of wet snow pixels transformed into baseflow.Shorter melting cycles implies a lower slope, that is, a lower speed.This finding is in line with previous results, where the maximum baseflow peak (red triangles in Figure 9) was observed earlier in cycles with higher maximum of SWE than in those with a lower maximum SWE.

Discussion
The capability of S-1 SAR imagery to improve the understanding of wet-snow dynamics over Mediterranean mountain areas was tested.We successfully connected melting dynamics with changes in the backscattering signal by applying the principles stated by [43].On top of that, we applied this approach not only to the final spring melting but also along all melting cycles that commonly appear throughout the year in these types of environments.Despite the fact that SAR images have been used throughout the whole snow season for retrieving SWE [37] and snow depth [36], and for identifying rain on snow events [104], few studies are dedicated to relating melting-runoff dynamics to snowpack changes derived from the SAR signal during melting cycles [19,35,43,44,85,105].This may be a consequence of the limited availability of SAR images on a regular basis, before the launch of S-1, and the fact that having melting cycles throughout the season is a specific characteristic of snow in semi-arid environments.Therefore, this work can be considered a pilot application of S-1 SAR images in these types of environments.We advance in both the assessment of the applicability of S-1 on a regular basis and the characterization of wet-snow dynamics in semi-arid mountain regions, such as the Sierra Nevada.
The characteristic of snow over these environments implied some technical challenges when adapting the general methodology to retrieve wet snow from SAR imagery.One of these challenges was the selection of a suitable reference image to remove common ground features that interfere with wet snow detection.The lack of a long-lasting winter accumulation made it difficult to find a full, dry snow image, as are commonly used in other studies [19,90].Therefore, the selection of a dry-summer image was chosen as reference.Several options were investigated following other authors [28,106].Among them, we observed that the soil dryness during the summer months over our target catchments made almost no differences in the use of these different approaches.
Another issue was the definition of the threshold in the Δσ signal to discriminate wet snow.Here, a value of −3.00 dB was chosen based on a wet-dry histogram analysis in the target area.This value is lower than the originally stated by [34].However, it agrees with other studies in alpine regions such as Austria or Argentina [80,90].Another example of

Discussion
The capability of S-1 SAR imagery to improve the understanding of wet-snow dynamics over Mediterranean mountain areas was tested.We successfully connected melting dynamics with changes in the backscattering signal by applying the principles stated by [43].On top of that, we applied this approach not only to the final spring melting but also along all melting cycles that commonly appear throughout the year in these types of environments.Despite the fact that SAR images have been used throughout the whole snow season for retrieving SWE [37] and snow depth [36], and for identifying rain on snow events [104], few studies are dedicated to relating melting-runoff dynamics to snowpack changes derived from the SAR signal during melting cycles [19,35,43,44,85,105].This may be a consequence of the limited availability of SAR images on a regular basis, before the launch of S-1, and the fact that having melting cycles throughout the season is a specific characteristic of snow in semi-arid environments.Therefore, this work can be considered a pilot application of S-1 SAR images in these types of environments.We advance in both the assessment of the applicability of S-1 on a regular basis and the characterization of wet-snow dynamics in semi-arid mountain regions, such as the Sierra Nevada.
The characteristic of snow over these environments implied some technical challenges when adapting the general methodology to retrieve wet snow from SAR imagery.One of these challenges was the selection of a suitable reference image to remove common ground features that interfere with wet snow detection.The lack of a long-lasting winter accumulation made it difficult to find a full, dry snow image, as are commonly used in other studies [19,90].Therefore, the selection of a dry-summer image was chosen as reference.Several options were investigated following other authors [28,106].Among them, we observed that the soil dryness during the summer months over our target catchments made almost no differences in the use of these different approaches.
Another issue was the definition of the threshold in the ∆σ signal to discriminate wet snow.Here, a value of −3.00 dB was chosen based on a wet-dry histogram analysis in the target area.This value is lower than the originally stated by [34].However, it agrees with other studies in alpine regions such as Austria or Argentina [80,90].Another example of the use of a similar threshold is found in the Argentinian Andes, a mountain range that shares more similarities with Mediterranean conditions than with Alpine snow [95].These findings are also in line with the threshold defined by [107][108][109], where wet snow was successfully analyzed in very different zones such as Finland, Canada, or Pakistan.In any case, the definition of the threshold depends on several factors.Among these the land cover below the blanket and the snowpack conditions [83] and, therefore, it needs to be tailored for each specific application.This tailoring is especially relevant in our study area since; for instance, the reference images cannot be selected in winter due to the lack of long and stable conditions for the dry snowpack.Therefore, the general conditions of the algorithm changes and the selection of these thresholds need to be validated.In future steps, domain adaptation techniques could be used to transfer these threshold between scenes acquired under different conditions, thus supporting the generalization of the approach [110].
One limitation of our methodology is related to the presence of vegetation.The penetration of the C-band SAR signal is limited and can therefore hamper the detection of wet snow.Previous studies conducted over the European Alps with the presence of dense vegetation related to forest coverage indicate that these areas need to be masked out in the processing of the SAR images to detect wet snow [34,43].In the case study of [28], a methodology based on machine learning was developed to detect wet snow by including not only backscattering features but also coherence and polarimetric values.In this case, the approach was extended to all types of land cover including dense forest.However, the authors showed that the results improved when dense forest was excluded from the evaluation, thus indicating that this land cover class represents a strong limitation to SAR signal [28].In the case study in the Sierra Nevada, the presence of vegetation is limited to sparse shrubs that can provide only a negligible effect on the evaluation of the wet snow in the overall basin.
In addition, other drawbacks could come from conditions such as the angle of incidence or the roughness of the snow; in our case, angles of incidence of 35 • -36 • are in close proximity to the 30 • analyzed by [111], where the presence of snowpacks with high surface roughness was defined as an optimal range of values for retrieving the presence of wet snow.Likewise, in our case, the shallow snowpack and the high snow roughness after some wind episodes visible in the terrestrial imagery support the selection of this threshold.Regarding the presence of shadow, the use of VH polarization with a moderate angular dependence can support the detection of wet snow on slopes [34].Instead, the use of ascending and descending images needs to be considered carefully as the detection of wet snow during the descending acquisitions in the early morning.In this area, such detection can lead to a reduced wet snow presence due to the refreezing process during the night.However, it could be interesting to evaluate the two available orbits, which take place during the same day at different times.In future analyses, a combination of ascending and descending can be addressed to capture differences between morning and evening snowpack.These daily changes are frequent in a Mediterranean mountain range like the Sierra Nevada, especially during spring melting [43].
The use of terrestrial photography also helped for a deep interpretation of the ∆σ signal at a local scale.We were able to identify four types of LMs that triggered snowmelt onset based on the classification proposed by [3].These LMs had different values depending on their timing throughout the year.This confirms the heterogeneity of the area, which can have different snowfalls events throughout the year, which ends up implying that we do not always have the minimum ∆σ values in the long-lasting spring melting cycles.In addition, this terrestrial imagery also constitutes an independent source of information to indirectly validate the methodology proposed.The use of alternative microwave datasets could also be evaluated, even though actually there are some limitations.The datasets based on passive microwaves such as ESA CCI-SWE are of a coarse resolution (around 10 km) and cannot represent well the peculiarity of mountain areas.Indeed, these areas are masked in this type of dataset.Other datasets based on SAR Sentinel-1 are the recent snow depth product produced by [36].Even though the approach is quite promising, these data are still under evaluation and cannot currently represent a robust reference for our case study.
This understanding of wet-snow dynamics helps to comprehend the melting runoff onset maps at the catchment scale, which constitute a useful tool for water managers to know the distribution of the melting dynamics.One limitation of these maps is that they are computed at the end of the snow season.They can be used to understand snow behavior but not to foresee changes in advance.On the contrary, the relationships found in Section 4.2 go a step further, as they able to be computed in quasi real-time.On the one hand, the depletion curves, with a common shape, defined a space where streamflow response and wet-snow dynamics are linked using the maximum SWE of the analyzing melting cycle.Hence, through knowing the maximum SWE achieved during the accumulation, a hypothetical curve can be drawn over this space to anticipate streamflow behavior.On the other hand, a mean delay of 21 days between the beginning of the melting runoff and streamflow peak was identified, narrowing down the water manager time to foresee runoff melting impact on the streamflow.More specifically, the proposed methodology can be applied to other sub-basins and incorporated in operational hydrological modeling systems [112][113][114].

Conclusions
The interpretation of SAR backscattering is not always straightforward, especially in regions where snowpacks are shallow and not permanent throughout the snow season, like in Mediterranean mountain areas such as the Sierra Nevada.In this work, we analyzed snow dynamics and their relationship with streamflow response in such semi-arid mountains using S-1 SAR imagery.
Sentinel-1 SAR imagery proved to be highly effective in capturing not only the final spring melting, but also all melting cycles throughout the year in such environments.This study successfully adapted the general change detection approach used in other regions to identify wet snow in semi-arid mountains by using the previous summer period of reference and establishing a wet-snow threshold of −3.00 dB.Additionally, on a local scale, the analysis enabled the identification of four distinct types of melting runoff onsets, each one associated with specific snowpack characteristics such as depth, duration of the accumulation phase before melting, and timing within the year.
At the catchment scale, a novel approach was introduced to delineate melting cycles throughout the year using Sentinel-1 SAR imagery exclusively.This method generated distributed melting runoff onset maps, thus enhancing our understanding of the spatiotemporal evolution of melting dynamics within the region.Furthermore, the study explored the connection between snowmelt dynamics and streamflow, through a piecewise function comprising three segments.This function was closely linked to the maximum snow water equivalent (SWE) achieved during the snow cycle, with a linear relationship for prolonged melting cycles.Finally, an average delay of approximately 21 days between the melting onset and the peak streamflow was also found in the selected catchment.
This work constitutes a first approach to better understand S-1 SAR imagery backscattering and assess its capability to foresee changes in streamflow over Mediterranean mountains.As a next step, we intend to improve the interpretation on a local scale by using, in addition to terrestrial imagery, measured variables such as SWE or temperature at different heights of the snow cover as well as the morning acquisitions of S-1 data.These potential improvements will help to achieve better interpretations of the snowpack dynamics in this type of environment and therefore improve our predictive capacity of streamflow in the area.

Cross-Evaluation
For compiling the confusion matrix between Landsat and S1 snow classification, the number of pixels in each category is normalized according to the Landsat based classification, assigning the value 1 to each class.This normalization allows a direct comparison between the different dates.
Table A1.Confusion matrix for the classes snow (S) and snow-free (F) in the study area for the different selected dates, for snow classification based on Landsat (LS) and Sentinel-1 (S1) data.Acc, accuracy (0.0 ≤ Acc ≤ 1.00).•

Cross-Evaluation
For compiling the confusion matrix between Landsat and S1 snow classification, the number of pixels in each category is normalized according to the Landsat based classification, assigning the value 1 to each class.This normalization allows a direct comparison between the different dates.
Table A1.Confusion matrix for the classes snow (S) and snow-free (F) in the study area for the different selected dates, for snow classification based on Landsat (LS) and Sentinel-1 (S1) data.Acc, accuracy (0.0 ≤ Acc ≤ 1.00).

Figure 1 .
Figure 1.(a) Location of the Sierra Nevada within Spain; (b) relief of the Sierra Nevada mountain range with the location of the two study sites: Refugio Poqueira (yellow cross) and Poqueira Alto Catchment (blue polygon); (c) zoom of the target areas.

Figure 1 .
Figure 1.(a) Location of the Sierra Nevada within Spain; (b) relief of the Sierra Nevada mountain range with the location of the two study sites: Refugio Poqueira (yellow cross) and Poqueira Alto Catchment (blue polygon); (c) zoom of the target areas.

34 Figure 2 .
Figure 2. Workflow of the proposed approach where the main sections are identified in brackets.The inputs are SAR and MODIS images for section (i); the cycles are the results of the first step that is then used as an input to be interpreted on a local scale (ii); and at a sub-basin scale (iii).

Figure 2 .
Figure 2. Workflow of the proposed approach where the main sections are identified in brackets.The inputs are SAR and MODIS images for section (i); the cycles are the results of the first step that is then used as an input to be interpreted on a local scale (ii); and at a sub-basin scale (iii).

Figure 3 .
Figure 3. Scheme of melting cycle definition.3.1.4.Identification of the Relationship between Snowpack Melting and Runoff Onset • Local Scale Runoff onset interpretation
Wet-Snow Dynamics 4.1.1.Local Scale: Backscatter Signal Understanding On a local scale, the connection between the SAR backscattering signal and snow dynamics was explored during the three hydrological years: 2016-2017, 2017-2018, and 2018-2019.Meteorological information and terrestrial photography at the Refugio Poqueira weather station were used in this process.Annual snowfall values varied between years, with 394 mm, 384 mm, and 244 mm, respectively.Temperature patterns also changed during years, with annual mean daily values of 7.5 • C, 6.1 • C, and 7.4 • C, for each hydrological year in the study period, respectively (Figure

Figure 4 .
Figure 4. Temporal evolution of analyzed variables for three hydrological years: (a) 2016-2017, (b) 2017-2018, (c) 2018-2019.For each year: (i) the upper panel shows precipitation (blue bars) and snowfalls (gray bars) evolution; (ii) the intermediate panel represents the temporal evolution of daily temperatures, maximum (red), mean (orange) and minimum (blue); (iii) the bottom panel shows the evolution of the difference backscattering between the reference image and the day of interest.(red line with triangles).The circled numbers in the bottom panel represent each of the local

Figure 4 .
Figure 4. Temporal evolution of analyzed variables for three hydrological years: (a) 2016-2017, (b) 2017-2018, (c) 2018-2019.For each year: (i) the upper panel shows precipitation (blue bars) and snowfalls (gray bars) evolution; (ii) the intermediate panel represents the temporal evolution of daily temperatures, maximum (red), mean (orange) and minimum (blue); (iii) the bottom panel shows the evolution of the difference backscattering between the reference image and the day of interest.(redline with triangles).The circled numbers in the bottom panel represent each of the local minima analyzed.The dashed line in the bottom panel marks the wet-snow threshold defined for the study area.In all panels, the presence of snow in the study area is highlighted by using a gray rectangle; lines in the top and bottom of this rectangle identify an accumulation (blue) or melting (red) phase.

Figure 5 .
Figure 5. Definition of four types of Local Minima (red dots) identified for a Mediterranean mountain area.VH represents the theoretical distribution of the Δ dB of S-1 SAR backscattering of the cross-polarization VH.FSC represents the temporal distribution of snow cover fraction.Blue dots represent the maximum snow cover fraction.Periods without snow or with dry snow are also specified on the upper axis.The x-axis represents the temporal variation over a hydrological year (September-August) of the different variables, the y-axis represents the corresponding value of the Δ dB of S-1 SAR backscattering (left y-axis), and snow cover fraction (right y-axis).

Figure 5 .
Figure 5. Definition of four types of Local Minima (red dots) identified for a Mediterranean mountain area.VH represents the theoretical distribution of the ∆ dB of S-1 SAR backscattering of the crosspolarization VH.FSC represents the temporal distribution of snow cover fraction.Blue dots represent the maximum snow cover fraction.Periods without snow or with dry snow are also specified on the upper axis.The x-axis represents the temporal variation over a hydrological year (September-August) of the different variables, the y-axis represents the corresponding value of the ∆ dB of S-1 SAR backscattering (left y-axis), and snow cover fraction (right y-axis).

Figure 6 .
Figure 6.Evolution of (a) snow cover area (grey line) and the partitioning of this area between wet snow (red line) and dry snow (blue line); (b) snow area contributing to melting runoff; (c) other hydrological variables of interest: precipitation (blue bars), snowfall (gray bars), streamflow (blue line), and baseflow (gray line) for the hydrological year 2016-2017.Lines at the top and bottom of every panel identify an accumulation (blue) or melting (red) phase based on the MOD10A2 product.In all these panels, the different melting cycles are highlighted by using a blue rectangle.(c-1,c-2 and c-3) Maps of dates when different areas of the catchment are contributing to the melting runoff, for the three identified melting cycles of this hydrological year: dates with local minimum (colors in color bar), dates without a local minimum (white), areas with no snow (dark green), areas with S-1 shadowing and layovers (black).

Figure 6 .
Figure 6.Evolution of (a) snow cover area (grey line) and the partitioning of this area between wet snow (red line) and dry snow (blue line); (b) snow area contributing to melting runoff; (c) other hydrological variables of interest: precipitation (blue bars), snowfall (gray bars), streamflow (blue line), and baseflow (gray line) for the hydrological year 2016-2017.Lines at the top and bottom of every panel identify an accumulation (blue) or melting (red) phase based on the MOD10A2 product.In all these panels, the different melting cycles are highlighted by using a blue rectangle.(c-1,c-2 and c-3) Maps of dates when different areas of the catchment are contributing to the melting runoff, for the three identified melting cycles of this hydrological year: dates with local minimum (colors in color bar), dates without a local minimum (white), areas with no snow (dark green), areas with S-1 shadowing and layovers (black).

Figure 7 .
Figure 7. Evolution of (a) snow cover area (grey line) and the partitioning of this area between wet snow (red line) and dry snow (blue line); (b) snow area contributing to melting runoff; (c) other hydrological variables of interest: precipitation (blue bars), snowfall (gray bars), streamflow (blue line), and baseflow (gray line) for the hydrological year 2017-2018.Lines in the top and bottom of every panel identify an accumulation (blue) or melting (red) phase based on the MOD10A2 product.In all these panels, the different melting cycles are highlighted by using a blue rectangle.(c-1,c-2 and c-3) Maps of dates when different areas of the catchment are contributing to the melting runoff, for the three identified melting cycles of this hydrological year: dates with local minimum (colors in color bar), dates without a local minimum (white), areas with no snow (dark green), areas with S-1 shadowing and layovers (black).

Figure 7 .
Figure 7. Evolution of (a) snow cover area (grey line) and the partitioning of this area between wet snow (red line) and dry snow (blue line); (b) snow area contributing to melting runoff; (c) other hydrological variables of interest: precipitation (blue bars), snowfall (gray bars), streamflow (blue line), and baseflow (gray line) for the hydrological year 2017-2018.Lines in the top and bottom of every panel identify an accumulation (blue) or melting (red) phase based on the MOD10A2 product.In all these panels, the different melting cycles are highlighted by using a blue rectangle.(c-1,c-2 and c-3) Maps of dates when different areas of the catchment are contributing to the melting runoff, for the three identified melting cycles of this hydrological year: dates with local minimum (colors in color bar), dates without a local minimum (white), areas with no snow (dark green), areas with S-1 shadowing and layovers (black).

Figure 8 .
Figure 8. Evolution of (a) snow cover area (grey line) and the partitioning of this area between wet snow (red line) and dry snow (blue line); (b) snow area contributing to melting runoff; (c) other hydrological variables of interest: precipitation (blue bars), snowfall (gray bars), streamflow (blue line), and baseflow (gray line) for the hydrological year 2018-2019.Lines in the top and bottom of every panel identify an accumulation (blue) or melting (red) phase based on the MOD10A2 product.In all these panels, the different melting cycles are highlighted by using a blue rectangle.(c-1,c-2,c-3 and c-4) Maps of dates when different areas of the catchment are contributing to the melting runoff, for the three identified melting cycles of this hydrological year: dates with local minimum (colors in color bar), dates without a local minimum (white), areas with no snow (dark green), areas with S-1 shadowing and layovers (black).

Figure 8 .
Figure 8. Evolution of (a) snow cover area (grey line) and the partitioning of this area between wet snow (red line) and dry snow (blue line); (b) snow area contributing to melting runoff; (c) other hydrological variables of interest: precipitation (blue bars), snowfall (gray bars), streamflow (blue line), and baseflow (gray line) for the hydrological year 2018-2019.Lines in the top and bottom of every panel identify an accumulation (blue) or melting (red) phase based on the MOD10A2 product.In all these panels, the different melting cycles are highlighted by using a blue rectangle.(c-1,c-2,c-3 and c-4) Maps of dates when different areas of the catchment are contributing to the melting runoff, for the three identified melting cycles of this hydrological year: dates with local minimum (colors in color bar), dates without a local minimum (white), areas with no snow (dark green), areas with S-1 shadowing and layovers (black).

34 Figure 9 .
Figure 9. Depletion curves.The x-axis represents the dimensionless cumulative number of pixels contributing to melting runoff in each cycle (ΣLMo*).The y-axis represents the dimensionless cumulative baseflow* during each cycle.The 2016-2017 event is represented by the green lines.The 2017-2018 event is represented by the blue lines.The 2018-2019 events are represented by the purple line, the orange, and brown line.The validation 2019-2020 event is represented by the red line.SWE max value for each cycle is also included in the legend.Red triangles represent the peak in baseflow during each event.Black dots represent the 25% (•) of the total time of each cycle, black crosses represent 50% (×) of the total time of each cycle, and black plusses represent 75% (+) of the total time of each cycle.

Figure 9 .
Figure 9. Depletion curves.The x-axis represents the dimensionless cumulative number of pixels contributing to melting runoff in each cycle (ΣLMo*).The y-axis represents the dimensionless cumulative baseflow* during each cycle.The 2016-2017 event is represented by the green lines.The 2017-2018 event is represented by the blue lines.The 2018-2019 events are represented by the purple line, the orange, and brown line.The validation 2019-2020 event is represented by the red line.SWE max value for each cycle is also included in the legend.Red triangles represent the peak in baseflow during each event.Black dots represent the 25% (•) of the total time of each cycle, black crosses represent 50% (×) of the total time of each cycle, and black plusses represent 75% (+) of the total time of each cycle.

Figure A1 .
Figure A1.Sensitivity analysis of each of the hydrological years.The blue area represents the range of values for each of the summer images used independently.The red line represents the value obtained using the mean of the images that meet the criterion of 15 days without previous precipitation during the summer.The blue line represents the value obtained using the average of all summer images.

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Local Scale: Wet Snow Threshold definition The selected days have been the following scenes (i) 5 December 2016, (ii) 5 March 2017, (iii) 16 February 2018, (iv) 28 February 2018, (v) 12 April 2019 and (vi) 24 April 2019.These images have been chosen based on the existence of possible dry, wet snow pixels and non-snow pixels.All the scenes have been previously filtered using the image of 8 days MODIS that considers the specific image.

Figure A2 .
Figure A2.(A-F) represent the overlapping distribution of wet snow pixels and snowless pixels for different periods.

Figure A2 .
Figure A2.(A-F) represent the overlapping distribution of wet snow pixels and snowless pixels for different periods.

Figure A3 . 34 Figure A3 .Figure A4 .
Figure A3.Local scale images (Refugio Poqueira) coinciding with the Local Minima obtained with the S-1 SAR image for each of the three years analyzed.
of the given variable for all the pixels in every LMo.(a) Temporal evolution of LMo pixels for Cycle I, (b) Temporal evolution of LMo pixels for Cycle II, (c) Temporal evolution of LMo pixels for Cycle III.Vertical lines indicate the day on which we have S-1 SAR image.

Figure A5 .
Figure A5.Temporal evolution of analyzed variables for the hydrological year 2017-2018; (i) precipitation-Pre (mm), (ii) snowfall, (iii) temperature, and (iv) radiation.Every graph represents the average value of the given variable for all the pixels in every LMo.(a) Temporal evolution of LMo

Figure A5 .
Figure A5.Temporal evolution of analyzed variables for the hydrological year 2017-2018; (i) precipitation-Pre (mm), (ii) snowfall, (iii) temperature, and (iv) radiation.Every graph represents the average value of the given variable for all the pixels in every LMo.(a) Temporal evolution of LMo pixels for Cycle I, (b) Temporal evolution of LMo pixels for Cycle II, (c) Temporal evolution of LMo pixels for Cycle III.Vertical lines indicate the day on which we have S-1 SAR image.

Table 1 .
Summary of the selected characteristics of each region (see Figure1) in the study area (SN), together with climate variables during the reference period 2016-2019.

Table 1 .
Summary of the selected characteristics of each region (see Figure1) in the study area (SN), together with climate variables during the reference period 2016-2019.

Table 2 .
Local scale classification of LMs based on the four LM types explained in Figure5.

Table 3 .
Summary of the characteristics (beginning date, end date, cumulative precipitation, and cumulative snowfall) of snowmelt-accumulation events identified in each of the hydrological year analyzed.

March 2017
Local Scale: Backscatter signal understanding-Terrestrial images •Local Scale: Backscatter signal understanding-Terrestrial images