A Burned Area Mapping Algorithm for Sentinel-2 Data Based on Approximate Reasoning and Region Growing

Sentinel-2 (S2) multi-spectral instrument (MSI) images are used in an automated approach built on fuzzy set theory and a region growing (RG) algorithm to identify areas affected by fires in Mediterranean regions. S2 spectral bands and their post- and pre-fire date (Dpost-pre) difference are interpreted as evidence of burn through soft constraints of membership functions defined from statistics of burned/unburned training regions; evidence of burn brought by the S2 spectral bands (partial evidence) is integrated using ordered weighted averaging (OWA) operators that provide synthetic score layers of likelihood of burn (global evidence of burn) that are combined in an RG algorithm. The algorithm is defined over a training site located in Italy, Vesuvius National Park, where membership functions are defined and OWA and RG algorithms are first tested. Over this site, validation is carried out by comparison with reference fire perimeters derived from supervised classification of very high-resolution (VHR) PlanetScope images leading to more than satisfactory results with Dice coefficient >0.84, commission error <0.22 and omission error <0.15. The algorithm is tested for exportability over five sites in Portugal (1), Spain (2) and Greece (2) to evaluate the performance by comparison with fire reference perimeters derived from the Copernicus Emergency Management Service (EMS) database. In these sites, we estimate commission error <0.15, omission error <0.1 and Dice coefficient >0.9 with accuracy in some cases greater than values obtained in the training site. Regression analysis confirmed the satisfactory accuracy levels achieved over all sites. The algorithm proposed offers the advantages of being least dependent on a priori/supervised selection for input bands (by building on the integration of redundant partial burn evidence) and for criteria/threshold to obtain segmentation into burned/unburned areas.


Introduction
Wildfires are the largest contributor to global biomass burning (BB) and represent a significant dynamic component of ecosystems, affecting terrestrial and atmosphere systems [1,2]. In vegetated areas of Southern Europe, fire is a major damaging agent and recent years (2017-2018) have witnessed unprecedented fire seasons with countries suffering large forest fires as a consequence of drought and heatwaves. Global warming has been affecting fires with increased frequency and severity, as observed in both real and simulated data [3,4]; this effect is particularly true in Mediterranean ecosystems (object of this work) where, according to models' forecasting, warming and a precipitation deficit will exacerbate fire weather conditions [5].
Fires impact on atmospheric chemistry, with aerosols and greenhouse gas emissions [6], the carbon budgets [7], hydrological cycles, soils and vegetation components of ecosystems [8,9]. In this framework, the extent of the area affected by fires is critical to investigate trends and patterns of fire occurrence and identify drivers of fire occurrence as well as for modeling future fire patterns and fire regimes; this information can therefore support the assessments of fire impacts on both natural and social systems. Several studies can be mentioned on the use of remote sensing (RS) to map burned areas at a regional to global scale [10][11][12]. Coarse-resolution RS data have been proved to be the most suitable source for depicting fire distribution over large areas and one primary image source for burned area (BA) products is the Moderate Resolution Imaging Spectrometer (MODIS) [13]. To the aim of improving accuracy of global estimates by detecting smaller fires (<50 ha), higher-resolution sensors have been exploited, such as 300 m Medium Resolution Imaging Spectrometer (MERIS) and 100 m Project for On-Board Autonomy-Vegetation (PROBA-V) [10,14,15], although the results were not always more accurate compared to coarser spatial resolution products [16]. At a regional scale and in heterogeneous environments, such as the Mediterranean ecosystems of Southern Europe, coarse-resolution data do not provide enough spatial detail and medium/high-and very high-resolution satellite images are preferable for accurately mapping burned areas. Indeed, small fires could significantly contribute to global effects of fires [15,17]. The greatest challenge in the RS community is the development of a global algorithm for mapping burned areas from decametric satellite images (e.g., Sentinel-2 and Landsat missions) [18][19][20], although important steps forward are shown by recent works [21,22]. In order to achieve this objective, some issues are yet to be addressed; among them a significant variability, across the ecosystems, of burned area spectral response as a function of pre-fire vegetation conditions and characteristics, fire behavior and intensity as well as time since the fire event. The lower revisiting time of medium spatial resolution satellites reduces the likelihood of observing burned surfaces immediately after the fire when spectral separability is greatest; yet Sentinel-2 (S2) revisiting time, obtained with the combined use of A&B missions, offers unprecedent opportunity with an average revisiting time of about five days [23].
Several algorithms have been proposed for mapping burned areas in the diverse ecosystems of the globe [12] and some key elements can be pointed out as providing the most robust approaches: supervised self-adaptive algorithms that can fit local conditions and contextual, multi-source (combining active fires) and multi-temporal approaches that can reduce the likelihood of commission errors due to spectral confusion with low albedo surfaces and highlight changes induced by fire on the surface [16,24,25].
The algorithm proposed here exploits the abovementioned key elements to deliver a semi-automatic robust and self-adaptive classification algorithm for S2 imagery exploiting pre-fire and post-fire acquisitions to maximize mapping accuracy. The algorithm inherits from the conceptual framework of the multi-criteria soft aggregation approach of burn evidence proposed by Stroppiana et al. (2012) [26] for burned area mapping and also applied for flooding mapping [27].
Major improvements with respect to the previous algorithm characteristics are (i) the use of S2 band reflectance in post-fire images and of their temporal difference between post-and pre-fire acquisitions and (ii) the definition of soft constraints by membership functions of fuzzy sets based on statistics (percentiles) of reflectance as derived from training areas. These improvements build on (i) the exploitation of a greater frequency of acquisition of S2 data (nominal five days when A and B constellations are combined), that allows the implementation of a robust change detection approach and (ii) a more automatic way for defining membership functions based on frequency distribution of training pixels over burned and unburned surfaces [19]. In particular, the algorithm aggregates partial evidence of burn, extracted from the information provided by S2 bands through the membership functions, into a synthetic score of global evidence by means of an ordered weighted averaging (OWA) operator [28]. Each S2 band could potentially and independently be used as a source of evidence of burn for the identification of areas affected by fires, hereafter named 'partial evidence' since it is given by a single input feature. However, the concurrent aggregation of multiple spectral bands can provide a Remote Sens. 2021, 13, 2214 3 of 27 more reliable evaluation of the occurrence of fires by modeling a convergence of evidence provided by redundant information, hereafter named 'global evidence' since it is given by multiple input features. This multi-criteria soft aggregation computes distinct pixel-based global evidence obtained with different OWAs (e.g., ranging from extreme conditions of minimum and maximum operators) that are exploited as input to a region growing (RG) algorithm.
The algorithm is trained over a large fire occurred in the Vesuvius National Park, Italy; this site is characterized by a complex and fragmented forest ecosystem and, in 2017, was affected by fires that generated different degrees of severity, providing a wide range of burn spectral conditions. After the training phase, the algorithm was automatically applied (with no need of repeating training) to five sites located in Southern Europe to assess exportability (i.e., robustness of membership functions, seed and growing layer selection strategy and map accuracy with respect to local characteristics). Copernicus Emergency Management Service (EMS) products (https://emergency.copernicus.eu/, last access 1 May 2021) from major events in the 2017 summer fire season were used as reference data for assessing the accuracy of burned area mapping over these sites.
The major novelty of this work with respect to our previous work was to assess the robustness and exportability of the multi-criteria soft aggregation algorithm developed for post-fire Landsat data to multi-temporal S2 data. Indeed, a specific novel aspect was the full exploitation of the temporal component as information for burned area mapping together with improvement of automatization of the algorithm to reduce the dependence on expert knowledge in the definition of the membership functions.

Study Areas and Datasets
In Southern Europe, 2017 was characterized by abnormal droughts and heatwaves [29]. Summer was the second warmest on record, with temperatures over 1.7 • C above the 1981-2010 average; the warmest being 2003 at more than 2.0 • C above average (https: //climate.copernicus.eu/node/358, last access 1 May 2021). Extreme weather conditions led to severe fires affecting, in particular, Portugal, Spain, Southern France, Greece and Italy [30]. In this framework, we selected sites for algorithm training and testing that are described in the sections below.

Training and Exportability Sites
Six sites situated in Mediterranean ecosystems were selected in this work among the regions most affected by forest fires in 2017 ( Figure 1). Vesuvius National Park, Italy, was used for algorithm training (development, tuning and thematic accuracy assessment) and the other five sites (Spain, Greece and Portugal) were exploited for testing algorithm exportability. The Corine Land Cover map (CLC2012, https://land.copernicus.eu/paneuropean/corine-land-cover, last access 1 May 2021) was used to extract information on major land covers that are summarized in Table 1

Sentinel-2 Dataset
The remote sensing data source used for algorithm training and exportability tests was the Sentinel-2 (S2) multispectral instrument (MSI) which measures the Earth's reflected radiance in 13 spectral bands from VIS/NIR to SWIR with a spatial resolution ranging from 10 m to 60 m (https://earth.esa.int/web/sentinel/home, last access 1 May 2021).
Over each site, pre-fire and post-fire S2 images were selected and downloaded by considering the occurrence of the major fire events, the dates of available reference datasets and the most clear sky conditions (Figure 2). Since post-fire S2 images simultaneous with reference data were desirable but hardly feasible, post-fire S2 dates were selected as close as possible to the date of reference fire perimeters (Table 2) to minimize bias in accuracy metrics due to spectral signal changes and further burning occurring after the date of reference perimeters. S2 images were downloaded as Level 1C from Copernicus Open Access Hub (https://scihub.copernicus.eu/, accessed 1 May 2021) since at the time of data processing no Level 2A products were available. S2 images were processed with Sen2r [31] Toolbox developed in R and released under GNU General Public License version 3 (GPL-3) and available on GitHub (https://ranghetti.github.io/sen2r, accessed 1 May 2021): Level-1C products were corrected with Sen2Cor [32] to derive bottom of atmosphere (BOA) reflectance in the VIS-NIR-SWIR wavelengths (S2 bands 2 to 12). In pre-processing steps, pixels with high and medium cloud probability were masked out while low cloud probability and cloud shadow pixels were retained to avoid discarding of burned pixels. In Sen2r, masking of cloudy pixels was done with information from the scene classification map (SCL) [33].

Reference Fire Perimeters
Burned area maps output from the proposed algorithm were validated by comparison with fire reference perimeters obtained from independent source data. In all sites, major fires occurred during the 2017 summer season, affecting, to a large extent, ecosystems, houses and people, so the Copernicus Emergency Management Service (EMS) was activated. EMS consists of the on-demand and fast provision (hours-days) of geospatial information in support of emergency management activities and derived from processing and analysis of satellite imagery acquired immediately after natural or human-made disasters such as floods, droughts and forest fires. EMS products are delivered as ready-toprint maps and geographic datasets (vector package). Two types of geo-products are delivered: fire delineation (fire perimeter) and fire damage grading (burn severity) derived from very high-resolution multispectral images. Fire damage grading is provided in four classes: "Completely Destroyed", "Highly Damaged", "Moderately Damaged" and "Negligible to Slightly Damaged". Quality checks are performed by the European Commission Joint Research Centre (EC JRC) to assure fast delivery of high-quality products. Further validation activities can be carried out by the EC JRC if triggered by the European Commission and/or suggested by authorized users; further information can be found in the 'Online Manual for Rapid Mapping Products' (https://emergency.copernicus.eu/mapping/ems/online-manual-rapid-mapping-products, last access 1 May 2021). Table 2 summarizes the reference dates of the EMS delineation and grading map source (where available). EMS delineation maps were used as source datasets for fire reference perimeters for all sites, except Vesuvius where EMS maps depicted the status of the surface on 16 July 2017. Yet, ongoing fires made the time gap between the EMS and S2 post-fire date (22 July 2019) critical for the comparison and for the estimation of reliable accuracy metrics (Appendix A1). Hence, to generate a reference dataset suitable for validation, very high-resolution (VHR) PlanetScope images [34] were used.
Pre-and post-fire PlanetScope images (22 April and 22 July 2017) were downloaded and classified with a supervised random forest (RF) algorithm to extract fire perimeters (Figure 3). The RF classifier is a machine learning algorithm that is largely used in remote sensing [36,37]. It builds an ensemble of decision trees (CART) and merges them together to yield a more accurate and stable prediction than any single tree alone [38]. The map Output pre-processed S2 images for the selected dates were available as bottom of atmosphere (BOA) reflectance values in VIS-NIR-SWIR wavelengths (S2 bands 2 to 12) resampled to a 10 m spatial resolution with a nearest neighbor method. The temporal difference between post-and pre-fire (∆ post-pre ) reflectance was computed and, together with post-fire reflectance, band values were used as input to a separability analysis to identify features that were most suited for burned area identification. Hereafter, ∆ is always meant as post-pre reflectance difference.
Training data were collected over the Vesuvius site, Italy, by photointerpretation of false color RGB (SWIR-NIR-Red) composites of S2 images ( Figure 2): polygons over burned and unburned surfaces were extracted and labeled by considering as 'burned' only areas that were affected by fires between the two S2 dates.

Reference Fire Perimeters
Burned area maps output from the proposed algorithm were validated by comparison with fire reference perimeters obtained from independent source data. In all sites, major fires occurred during the 2017 summer season, affecting, to a large extent, ecosystems, houses and people, so the Copernicus Emergency Management Service (EMS) was activated. EMS consists of the on-demand and fast provision (hours-days) of geospatial information in support of emergency management activities and derived from processing and analysis of satellite imagery acquired immediately after natural or humanmade disasters such as floods, droughts and forest fires. EMS products are delivered as ready-to-print maps and geographic datasets (vector package). Two types of geoproducts are delivered: fire delineation (fire perimeter) and fire damage grading (burn severity) derived from very high-resolution multispectral images. Fire damage grading is provided in four classes: "Completely Destroyed", "Highly Damaged", "Moderately Damaged" and "Negligible to Slightly Damaged". Quality checks are performed by the European Commission Joint Research Centre (EC JRC) to assure fast delivery of high-quality products. Further validation activities can be carried out by the EC JRC if triggered by the European Commission and/or suggested by authorized users; further information can be found in the 'Online Manual for Rapid Mapping Products' (https: //emergency.copernicus.eu/mapping/ems/online-manual-rapid-mapping-products, last access 1 May 2021). Table 2 summarizes the reference dates of the EMS delineation and grading map source (where available). EMS delineation maps were used as source datasets for fire reference perimeters for all sites, except Vesuvius where EMS maps depicted the status of the surface on 16 July 2017. Yet, ongoing fires made the time gap between the EMS and S2 post-fire date (22 July 2019) critical for the comparison and for the estimation of reliable accuracy metrics (Appendix A, Figure A1). Hence, to generate a reference dataset suitable for validation, very high-resolution (VHR) PlanetScope images [34] were used.
Pre-and post-fire PlanetScope images (22 April and 22 July 2017) were downloaded and classified with a supervised random forest (RF) algorithm to extract fire perimeters ( Figure 3). The RF classifier is a machine learning algorithm that is largely used in remote sensing [36,37]. It builds an ensemble of decision trees (CART) and merges them together to yield a more accurate and stable prediction than any single tree alone [38]. The map generated at high resolution (~3 m) can be considered spatial explicit ground truth information for the assessment of S2 products (namely 10 m resolution).
Remote Sens. 2021, 13, x FOR PEER REVIEW 9 of 30 generated at high resolution (~3 m) can be considered spatial explicit ground truth information for the assessment of S2 products (namely 10 m resolution).

Methods
The proposed algorithm relies on a multi-criteria approximate reasoning approach that aggregates information brought by multiple features into synthetic global degrees of evidence of burn. Each input feature could be used as source for deriving evidence of burn conditions (partial evidence) but aggregation reinforces evidence by exploiting the convergence of partial evidence from multiple possibly redundant sources and by compensating the inconsistency/conflict of evidence from multiple possibly complementary sources. This step allows strengthening of the likelihood of the presence of burn and reduces confusion between burned areas and surfaces with similar spectral characteristics [26]. Aggregation was carried out with ordered weighted averaging operators (OWAs): a parameterized family of soft-mean-like aggregation operators. Different operators were used to represent attitudes ranging between pessimistic (the maximum extent of the phenomenon to minimize the chance of underestimating: modeling a compensative aggregation to integrate complementarities of multiple criteria) and optimistic (minimize the chance of overestimating: modeling a concurrent aggregation to integrate mutual reinforcement of multiple criteria). Layers of global evidence derived with different OWAs were input to a region growing (RG) algorithm. The approach was applied independently to each pixel of the input RS images as follows: 1. Selection of the input features; 2. Definition of the soft constraints (membership function, MF) for each input feature from training data and application to derive partial evidence of burn (MD); 3. Selection of OWAs, according to their semantic, for the soft integration; 4. Computation of the global degree of evidence of burn for generating seed and growing layers; 5. Implementation of the RG algorithm; 6. Segmentation of the RG output score to derive burned area maps.
The algorithm was applied to vegetated areas, while not burnable (bare soil and ur-

Methods
The proposed algorithm relies on a multi-criteria approximate reasoning approach that aggregates information brought by multiple features into synthetic global degrees of evidence of burn. Each input feature could be used as source for deriving evidence of burn conditions (partial evidence) but aggregation reinforces evidence by exploiting the convergence of partial evidence from multiple possibly redundant sources and by compensating the inconsistency/conflict of evidence from multiple possibly complementary sources. This step allows strengthening of the likelihood of the presence of burn and reduces confusion between burned areas and surfaces with similar spectral characteristics [26]. Aggregation was carried out with ordered weighted averaging operators (OWAs): a parameterized family of soft-mean-like aggregation operators. Different operators were used to represent attitudes ranging between pessimistic (the maximum extent of the phenomenon to minimize the chance of underestimating: modeling a compensative aggregation to integrate complementarities of multiple criteria) and optimistic (minimize the chance of overestimating: modeling a concurrent aggregation to integrate mutual reinforcement of multiple criteria). Layers of global evidence derived with different OWAs were input to a region growing (RG) algorithm. The approach was applied independently to each pixel of the input RS images as follows: 1.
Selection of the input features; 2.
Definition of the soft constraints (membership function, MF) for each input feature from training data and application to derive partial evidence of burn (MD); 3.
Selection of OWAs, according to their semantic, for the soft integration; 4.
Computation of the global degree of evidence of burn for generating seed and growing layers; Remote Sens. 2021, 13, 2214 9 of 27 5. Implementation of the RG algorithm; 6.
Segmentation of the RG output score to derive burned area maps.
The algorithm was applied to vegetated areas, while not burnable (bare soil and urban classes) and agricultural areas were masked out based on the CLC2012 land cover map. Output burned area maps were compared to reference datasets for estimating accuracy metrics. Steps (1) to (6) were applied over the training site (Vesuvius, Italy) for the selection of the best input features, the definition of the membership functions and the customization of the RG algorithm. Exportability was tested over the other sites by applying steps (4) to (6) to assess the algorithm's performance over geographic locations with different environmental conditions compared to those of the training site.

Separability Analysis
A separability analysis was preliminarily carried out over the Vesuvius training site for selecting the most suitable bands for the discrimination of burned and unburned surfaces. Separability metric M (1) was computed from frequency distributions of training pixels [39].
where µ u , µ b are mean values and σ u , σ b are standard deviation values of the unburned (u) and burned (b) classes in the training data. Spectral bands with M > 1 were selected as input features for the computation of the partial evidence of burn.

Definition of the Membership Functions
Membership functions (MFs) are soft constraints that can be defined with different approaches according to the available expertise and training data [40]. Here, soft constraints were defined from training data over the Vesuvius site for each input feature identified by the separability analysis. MFs are sigmoid Functions (2) used to convert a pixel's values of the input feature into degrees of membership to the burned class (membership degree, MD), i.e., the partial evidence of burn that is a score in the range [0, 1]. The extremes of the sigmoid-shaped MFs were defined based on percentiles of the unburned and burned histogram distributions, respectively [19].
where L is the upper limit of the function, in this case L→1 to quantify the maximum degree of membership, k is the curve's slope and x0 is the inflection point. The two parameters k and x0 are estimated by using percentiles. Based on Roteta et al. (2019) [19], we selected a different shape for the sigmoid functions depending on the spectral characteristics of burned areas in the specific input feature: a z-shaped function or s-shaped function. The upper limit of the function f (x)→1 represents the greatest partial evidence of burn defined by a pixel's values of the input features below and above the 50th percentile of the frequency distribution function of the burned training pixels for z-shaped and s-shaped functions, respectively ( Figure 4). On the opposite side, f (x)→0 (no partial evidence of burn) and it is given by the 10th and 90th percentile of the frequency distribution function of the unburned training pixels for the z-shaped and s-shaped function, respectively. Training pixels for burned and unburned categories, extracted over the Vesuvius training site, were used to estimate k and x0 parameters: a z-shaped function was used when fire occurrence led to a decrease in the pixel's value in a given input feature, for example, in the NIR S2 reflectance band. On the contrary, an s-shaped function represents the case when per-pixel input feature value increases over a burned area.
the opposite side, f(x)→0 (no partial evidence of burn) and it is given by the 10th and 90th percentile of the frequency distribution function of the unburned training pixels for the zshaped and s-shaped function, respectively. Training pixels for burned and unburned categories, extracted over the Vesuvius training site, were used to estimate k and x0 parameters: a z-shaped function was used when fire occurrence led to a decrease in the pixel's value in a given input feature, for example, in the NIR S2 reflectance band. On the contrary, an s-shaped function represents the case when per-pixel input feature value increases over a burned area.

OWA Operators for Computing Global Evidence
Layers of partial evidence were integrated to derive global scores of burn evidence with ordered weighted averaging (OWA) operators [28]. An OWA of dimension N (OWA: ..,N w i = 1, so that it computes an aggregated output value a ∈ [0, 1] by applying the following formula [41]: where g i is the i th largest value among the input d 1 , . . . ,d N .
Input values d 1 , . . . ,d N , are rearranged from the highest to the smallest; reordering is a key element of OWA operators, meaning that a specific weight w i is not univocally associated to the specific i th input but rather it is associated with the i th position of the reordered inputs [28]. Since, in our case, OWAs aggregated the MDs expressing partial evidence of burn provided by single features, in each pixel, a different reordering of the MDs may have occurred so different features contributed to determining the aggregated value.
Different operators were tested to represent decision attitudes between pessimistic (the maximum extent of the phenomenon to minimize the chance of underestimating) and optimistic (to minimize the chance of overestimating). For example, a weighting vector W of the OWA operator with the last weight w N = 1 considers only the contribution of the smallest input value, i.e., the minimum partial evidence degree after reordering; hence, it implements an optimistic attitude by computing the minimum total burned area (AND aggregation). Conversely, by setting the first weight w 1 = 1, the maximum partial evidence will determine the largest burned area, thus modeling the pessimistic case (OR aggregation). Intermediate cases, in which all or most components of W are not null, model soft integrations.
In this work, we compare the results obtained by applying five different OWA operators with the following weighting vectors: in Figure 5, this step performs the dimension reduction from N input features (MD scores for each pixel) to 1 (synthetic score). OWA layers are then input to the region growing algorithm.
as well as a threshold for the segmentation of the RGscore. The criterion set for seed selection is OWAAND > 0.9; no change in burned area mapping accuracy was observed for different thresholds applied to OWAAND due to its frequency distribution with a bimodal shape centered over extreme values 0 (no evidence of burn) and 1 (full membership to the burned class, greatest evidence of burn) (not shown). For the growing layer, different conditions on the value of OWAgrow were analyzed to identify the maximum growing boundary (S.2, S. 3), showing that the highest accuracy is achieved when all pixels with not null evidence are retained (OWAgrow > 0). Finally, in the segmentation step on RGscore, the analysis of variable thresholds showed that RGscore > 0 provides the greatest accuracy (S.2, S.3). As a result of these preliminary analyses, Figure 5 shows the flowchart of the algorithm proposed in this work. Figure 5. Flowchart of the processing steps from input S2 MSI images to generate BA maps. Figure 5. Flowchart of the processing steps from input S2 MSI images to generate BA maps.

Region Growing
The RG algorithm, implemented in Harris IDL language (https://www.l3harrisgeospatial. com/docs/region_grow.html, last access 1 May 2021), needs as input a seed layer (OWA seed ) and a growing layer (OWA grow ) and two conditions (thresholds) on OWA seed and OWA grow to identify seed pixels and to delimit maximum growing boundaries. Seed and growing layers are selected among the layers of global evidence generated with distinct OWAs: one concurrent for the seed layer whose segmentation is set to minimize commission errors, and one compensative for the grow layer, whose segmentation is set to minimize omission errors by expanding seeds. Hence, seeds are extracted from the most restrictive OWA AND while growing boundaries are derived from less restrictive OWAs (OWA OR , OWA Average , OWA AlmostOR ). While the requirement on the seed layer is very high, the strategy for identifying candidate boundaries (i.e., the limits for the region growing) can be looser, thus allowing the algorithm to also expand over pixels with low burn signal but connected to more reliable pixels, i.e., the seeds (e.g., partially burned pixels along the perimeter of the burned patches). The RG algorithm is an iterative algorithm that at each iteration expands the seed pixels: starting from initial seeds (pixel with OWA AND above a given threshold), it searches the 8-neighbor connected pixels and it includes in the seed layer only those pixels with OWA grow > 0. These expanded pixels update the seeds for the next iteration cycle. The iteration ends when boundaries of maximum growth is reached in the OWA grow layer. The output layer is a gray-level image (RG score ∈ [0, 1]) whose values can be further segmented to generate the maps of burned/unburned areas (binary maps).
Preliminary analysis carried out over the training site allowed the definition of the implementation conditions of the RG algorithm: thresholds for seed and growing layers as well as a threshold for the segmentation of the RG score . The criterion set for seed selection is OWA AND > 0.9; no change in burned area mapping accuracy was observed for different thresholds applied to OWA AND due to its frequency distribution with a bimodal shape centered over extreme values 0 (no evidence of burn) and 1 (full membership to the burned class, greatest evidence of burn) (not shown). For the growing layer, different conditions on the value of OWA grow were analyzed to identify the maximum growing boundary (S.2, S. 3), showing that the highest accuracy is achieved when all pixels with not null evidence are retained (OWA grow > 0). Finally, in the segmentation step on RG score , the analysis of variable thresholds showed that RG score > 0 provides the greatest accuracy (S.2, S.3). As a result of these preliminary analyses, Figure 5 shows the flowchart of the algorithm proposed in this work.

Validation
The accuracy of the output burned area maps was estimated by comparison with reference fire perimeters (i.e., fire polygons from RF classification of PlanetScope images for the Vesuvius site and Copernicus EMS fire delineation layers). Over the Vesuvius site, accuracy assessment was part of the training phase for the definition of the best implementation criteria of the algorithm. Over the other sites, accuracy assessment of the burned area maps obtained by applying the algorithm in its final form contributed to the evaluation of the exportability. In both cases, validation was carried out by estimating metrics from the confusion matrix (commission error, omission error, Dice coefficient and relative bias) [42]. In order to build the confusion matrix, score map output from the RG algorithm was segmented to extract burned/unburned areas in a binary form (RG score > 0, S.3). In the Results section, accuracy metrics are presented and discussed as a function of the OWA grow layer.

Separability and Membership Functions
Results of the separability analysis depict the distance between burned and unburned classes, as observed in the post-fire and ∆ post-pre S2 reflectance bands for the Vesuvius site (Table 3); M > 1 highlights a good separability that is, in this case, achieved by S2 post-fire red-edge (RE2, RE3) and NIR bands and their temporal difference (∆ post-pre ). S2 SWIR2 post-fire reflectance provides very poor separability (M < 0.1) that increases when temporal difference (∆ SWIR2 ) is computed, suggesting that the difference with respect to pre-fire unburned conditions enhances separability; the opposite occurs for the S2 SWIR1 band. Reflectance of burned surfaces is the result of a mixture of bare soil, unburned vegetation and combustion products (ash, charcoal) that are present on the surface after a fire. The combustion of vegetation significantly influences the post-fire spectral signature by generally decreasing reflectance (µ b ), thus enhancing the difference with respect to unburned conditions (µ u ), especially in the NIR wavelengths. For longer wavelength bands (i.e., SWIR2), the spectral reflectance of dry unburned vegetation (green vegetation proportion absorbing radiation due to water content) and burned surfaces could be equally low, thus reducing separability (lower M value). The separability power of SWIR wavebands in the temporal change detection algorithm has also been widely exploited as an indicator of burn severity although the sensitivity of these bands has been found to vary geographically [43]. Red-edge bands show good separability for wavelengths longer than 740 nm (RE2 and RE3), and are certainly of great interest, although these bands are not present on all space-borne sensors and they are mainly selected for vegetation chlorophyll content estimation and monitoring [44]. Based on these results, the following seven input layers were selected as features for the implementation of the algorithm ( Figure 5): post-fire NIR, post-fire RE2 and RE3 and temporal difference (∆ post-pre ) of the same three bands and additionally of SWIR2. From the same training dataset, statistics for burned and unburned surfaces were computed for the estimation of the k and x0 parameters of the membership functions (Table 4). MFs map the input feature's values into the [0, 1] domain where values closer to 1 (0) represent the greatest (lowest) likelihood of being burned. Among the selected features, only ∆ SWIR2 was properly described by an s-shaped function since, according the training dataset, over burned areas, ∆ SWIR2 > 0.

Partial and Global Evidence of Burn
MFs are applied to the input features to derive maps of partial evidence of burn (MD = membership degree score). Figure 6 shows the partial evidence of burn for the training site: greater MD values represent higher likelihood of burn (from blue to yellow in the figure) and the frequency distribution of pixel values varies with the input feature according to its sensitivity in detecting different burned conditions. Areas located in the southernmost regions of the park that were severely affected by fires during summer 2017 are consistently identified by all features with the greatest values (yellow regions). Differences in the partial evidence of burn brought by single features are mainly observed in the northern regions; in fact, each feature is sensitive to different characteristics of the burned surfaces and/or different degrees of burn. In the figure, non-forested areas within the border of the national park are masked out and shown in gray.
Global evidence of burn is computed with OWA operators integrating partial evidence, as shown in Figure 7 for the Vesuvius training site. OWA score ranges within [0, 1], with the greatest values showing pixels with the highest likelihood of being burned according to convergent evidence of burn from the input layers. All OWA maps highlight regions of the Vesuvius site most affected by fires in the southernmost areas, where all input layers agree on identifying higher partial evidence of burn. The 'concurrent-strict' to 'complementaryrelaxed' integration conditions implemented by the different OWAs supported the choice of seed and growing layers for the RG algorithm: we selected OWA AND as the seed layer combined with average and OR-like OWAs as the growing layer (OWA Average , OWA AlmostOR and OWA OR ). Once seed pixels were selected (OWA AND > 0.9), the RG algorithm expanded the initial selection in an iterative way over the OWA grow layer in order to also capture pixels with lower values of global evidence (less likely to be burned). Global evidence of burn is computed with OWA operators integrating partial evidence, as shown in Figure 7 for the Vesuvius training site. OWA score ranges within [0, 1], with the greatest values showing pixels with the highest likelihood of being burned according to convergent evidence of burn from the input layers. All OWA maps highlight regions of the Vesuvius site most affected by fires in the southernmost areas, where all input layers agree on identifying higher partial evidence of burn. The 'concurrent-strict' to 'complementary-relaxed' integration conditions implemented by the different OWAs supported the choice of seed and growing layers for the RG algorithm: we selected OWAAND as the seed layer combined with average and OR-like OWAs as the growing layer (OWAAverage, OWAAlmostOR and OWAOR). Once seed pixels were selected (OWAAND > 0.9), the RG algorithm expanded the initial selection in an iterative way over the OWAgrow layer in order to also capture pixels with lower values of global e  Figure 8 shows the RGscore (top row) and agreement (bottom row) maps that depict the spatial distribution of agreement between the two-class algorithm's output and the reference datasets: full agreement over burned (orange) and unburned classes (white) as  Figure 8 shows the RG score (top row) and agreement (bottom row) maps that depict the spatial distribution of agreement between the two-class algorithm's output and the reference datasets: full agreement over burned (orange) and unburned classes (white) as well as errors of omission (green) and commission (blue). In the agreement maps, omission errors in the northern slopes of the volcano are mainly produced by the lack of seed pixels in the OWAseed layer (Figure 7a), likely due to low-intensity and/or below-canopy fires; these regions are common to all output RGscore maps since the omission error descends from the seed layer rather than the growing layer. Commission errors are larger in the maps produced with OWAAlmostOR and OWAOR that implement 'complementary-relaxed' aggregation. Accuracy metrics quantifying the errors depicted in Figure 8 are summarized in Table 5 together with total estimated hectares of area burned (Tot BA).  [45] estimated that the area burnt by summer wildfires in 2017 in Vesuvius National Park amounted to 3350.23 ha, although this estimate covers the entire summer season by in- In the agreement maps, omission errors in the northern slopes of the volcano are mainly produced by the lack of seed pixels in the OWA seed layer (Figure 7a), likely due to low-intensity and/or below-canopy fires; these regions are common to all output RG score maps since the omission error descends from the seed layer rather than the growing layer. Commission errors are larger in the maps produced with OWA AlmostOR and OWA OR that implement 'complementary-relaxed' aggregation. Accuracy metrics quantifying the errors depicted in Figure 8 are summarized in Table 5 together with total estimated hectares of area burned (Tot BA).  [45] estimated that the area burnt by summer wildfires in 2017 in Vesuvius National Park amounted to 3350.23 ha, although this estimate covers the entire summer season by including fires that occurred later than the S2 post-fire date, 22 July.

Exportability Results
The algorithm developed over the Vesuvius site was applied to the sites selected for testing and located in Spain (2), Portugal (1) and Greece (2) with the following criteria: 1.
Burned area mapping: RG score > 0. Figure 9 shows the agreement maps for the five sites and the corresponding accuracy metrics are summarized in Figure 10 and compared to metrics estimated for the training site. Increasing commission errors for OR-like operators (ce > 0.15) are visible in Calar and Huelva sites, Spain. In particular, in the Calar site, the OWA OR growing layer generates a significantly greater commission error (ce > 0.30) by mistakenly classifying as burned a region of woodland-shrubland located in the northeastern part of the site. Additionally, in the Zakynthos site, Greece, commission error for the OR-like OWA operators is greater than OWA Average and mainly located in sparsely vegetated land covers. Commission is greater than omission in all sites except Kalamos, Greece, and Leiria, Portugal. In all sites, the difference in the estimates of the Dice coefficient for the three growing layers is negligible while relative bias shows values significantly below zero (overestimation) for Vesuvius, Calar and Huelva sites and OR-like operators confirm the 'complementaryrelaxed' aggregation of these operators. Estimates of the relative bias clearly show that OWA Average provides burned area maps that tend to underestimate the area actually burned; again, the opposite occurs for OWA OR . In terms of relB, the Zakynthos and Leiria sites show the lowest values and no difference among the three growing layers tested. Finally, a negligible difference is observed in accuracy metrics obtained over the Leiria site, Portugal, probably due to the clear burn spectral signal produced by intense and severe fires affecting forest cover; over this site, we obtained the overall greatest Dice coefficient and lowest relative bias. Remote Sens. 2021, 13  A regression analysis was carried over a grid layer spacing of 500 m × 500 m to compare the proportion of grid cells labeled as burned in the RG output and the reference maps. This analysis allows a more robust quantitative evaluation of the agreement between classified and reference data [46] by reducing the effect of error compensation. The  (o-q). The four classes represent: correctly classified burned pixels (orange), correctly classified unburned pixels (white), pixels mistakenly classified as burned-commission (blue) and pixel mistakenly classified as unburned-omission (green).
A regression analysis was carried over a grid layer spacing of 500 m × 500 m to compare the proportion of grid cells labeled as burned in the RG output and the reference maps. This analysis allows a more robust quantitative evaluation of the agreement between classified and reference data [46] by reducing the effect of error compensation. The results are displayed as regression scatter plots and the agreement was quantified by regression coefficients and error metrics: the coefficient of determination (R2) and the root mean squared error (RMSE) computed from the proportion and the total amount (hectares) of area burned within each grid cell ( Figure 11). Slopes of the linear regression are generally very close to 1, showing a more than satisfactory agreement between classified and reference maps; in particular, slope values slightly below 1 can be observed for the Leiria, Calar and Kalamos sites, pointing out an underestimation of the area burned in S2 maps; on the contrary, overestimation occurs for the Zakynthos site (slope > 1.07). Indeed, underestimation error is rather expected when burned area mapping is carried out by coarser-resolution data [46] despite the contribution of RG in reducing commission ( Figure 12). These trends appear to be least influenced by the OWA grow layer that is selected in the RG (columns in Figure 11). Only Vesuvius and Huelva show the slope of the regression model changing from negative to positive with OWA grow ; indeed, commission errors brought by the OR-like OWAs lead to a slope > 1. The R2 values confirm the very good agreement with lower values obtained over the Vesuvius training site and with OR-like operators (R2~0.85). By looking at the RMSE, the best results are obtained by applying different OWAs in the different sites: OWA Average yields the best results in Vesuvius, Huelva and Zakynthos, OWA OR performs best in Kalamos and Leiria, while OWA AlmostOR performs best in Calar. Hence, it is not univocally identified which OWA grow layer performs best across the sites, although OWA OR should be discarded due to the high overestimation errors. By choosing OWA Average or OWA AlmostOR , the average grid cell RMSE is below 2 ha. As highlighted in Figure 9, the greatest commission errors occur over the Calar site, Spain, and with OWA OR growing layer; this error is represented in the scatter plot by grid cells along the y-axis (BA reference cell proportion = 0). o) p) q) Figure 9. Agreement maps obtained for OWAAverage (left column), OWAAlmostOR (middle column) and OWAOR (right column) over exportability sites: Leiria, Portugal (a-c), Calar, Spain (d-f), Huelva, Spain (g-i), Kalamos, Greece (l-n) and Zakynthos, Greece (o-q). The four classes represent: correctly classified burned pixels (orange), correctly classified unburned pixels (white), pixels mistakenly classified as burned-commission (blue) and pixel mistakenly classified as unburned-omission (green). Figure 10. Accuracy metrics (omission error = oe, commission error = ce, Dice coefficient = dc and relative bias = relB) over the exportability and training sites.
A regression analysis was carried over a grid layer spacing of 500 m × 500 m to co pare the proportion of grid cells labeled as burned in the RG output and the referen maps. This analysis allows a more robust quantitative evaluation of the agreement tween classified and reference data [46] by reducing the effect of error compensation. T Figure 10. Accuracy metrics (omission error = oe, commission error = ce, Dice coefficient = dc and relative bias = relB) over the exportability and training sites.
By observing, in particular, scatter plots for the Leiria and Huelva sites, a large number of grid cells are fully burned according to the reference (BA reference cell proportion along the x-axis = 1) but the burn proportion detected by the RG algorithm is largely variable (BA RG cell proportion along the y-axis) with some cases of full omission. An in-depth analysis of these cells by visual inspection of S2 RGB color composite images (RGB = SWIR − NIR − Red) revealed that disagreement is mainly due to unburned islands and/or linear elements, such as roads, that are included as burned in the EMS polygons. Moreover, discrepancy between RG and reference perimeters is also due to differences in the reference date of the pre-fire image. The EMS pre-fire images can date back to previous years while S2 pre-fire images in this study belong to the same year as the fire event (2017); in fact, to limit the influence of changes of surface conditions due to other phenomena and to maximize the burned/unburned separability, we kept a time gap between pre-and post-fire S2 images in the range of 1-2 months. Some examples area given in the (Appendix A, Figure A4). the implementation of the RG combined with OWA significantly reduces relative bias (relB) that quantifies the difference between overestimation and underestimation. Moreover, RG reduces the higher omission error brought by AND-like OWAs (more restrictive conditions on the convergence of evidence) while it reduces commission of the OR-like operators. The balance between these two types of errors, as quantified by the Dice coefficient (dc), shows that RG brings significant improvement with respect to extreme OWAAND and OWAOR accuracy (dc~0.6). Hence, two layers of global evidence were selected as input to the RG algorithm for seed selection and growing. Seeds were identified as pixels where OWAAND > 0.9 to guarantee the highest reliability relying on the OWA operator able to implement 'concurrentstrict' integration conditions. On the other hand, the grow layer is selected among operators implementing "partially complementary-relaxed" (average) and "complementaryrelaxed" (OR-like) aggregation. The output of the RG algorithm (RGscore) is a continuous layer in [0, 1] that can be segmented to deliver a binary two-class burned/unburned map to be compared to reference fire perimeters (i.e., validation).
Preliminary analysis over the Vesuvius training site (Appendix, Figures A2 and A3) showed that all pixels in the OWAgrow layer could be retained as potentially burned (OWAgrow > 0) and all evidence values from the RG algorithm contribute to burned area mapping (RGscore > 0). Under these conditions, estimated accuracy metrics are commission error < 0. The range of values is given by the three OWAs used as potential layers for growing boundaries. Accuracy metrics are more than satisfactory for a semi-automatic burned area mapping algorithm covering a wide range of fire and land cover conditions in Mediterranean ecosystems. Where fire severity Figure 12. Accuracy metrics (omission error = oe, commission error = ce, Dice coefficient = dc and relative bias = relB) over the training site for burned area maps obtained with the RG algorithm (with three cases of growing layer, OWA Average , OWA Almost_OR and OWA OR ) and from segmentation of the OWA global evidence (from all tested OWAs).

Discussion
The algorithm described here relies on S2 spectral bands and their temporal difference (pre-fire to post-fire reflectance change) in mapping burned areas in Mediterranean ecosystems. We chose to rely on spectral bands rather than indices for the more robust relationship between reflectance and surface properties; indeed, spectral indices might provide local good discrimination but their performance can vary in space and time [47]. The approach integrates burn evidence from those S2 bands and their temporal differences that showed the greatest sensitivity in discriminating burned and unburned surfaces. Among the S2 spectral bands, the separability metric M identified red-edge (bands 6 and 7) and NIR (band 8) as the most suitable bands while the short-wave infrared domain showed poor separability (M < 1) with the lowest values for SWIR2 (band 12). In this wavelength domain, separability improves slightly above the threshold value (M = 1.1) only when temporal difference (∆ post-pre ) is computed and for the longer wavelength SWIR2 S2 band. Additionally, ∆red-edge and NIR reflectance showed high separability (M > 1.5), although lower than post-fire reflectance (M > 1.8), thus, suggesting that, in the case of a lack of temporal series and/or suitable S2 image pairs, single-date images could provide accurate mapping results. This confirms previous findings obtained with Landsat images by Stroppiana et al. (2012) [26].
Seven features (Post RE2 , Post RE3 , Post NIR , ∆ RE2 , ∆ RE3 , ∆ NIR , ∆ SWIR2 ) were therefore selected as input for the algorithm that relies on approximate reasoning to model uncertainty on burned areas through the convergence of evidence of burned conditions. In this framework, pixel-based partial burn evidence is the likelihood of observing burned conditions in a given single spectral feature and the global evidence is given by the complementaryconcurrent aggregation of partial evidence degrees. This way, self-adaptation of the algorithm to slightly similar areas and context is achieved, conferring robustness to the approach. Prior to aggregation, input features are interpreted in terms of burn likelihood by membership functions (MFs); similarly to other works proposed in the literature [19], we chose sigmoid-shaped functions to rescale the domain of each input feature into a common domain [0, 1] and these functions were defined from training sets in a semi-automatic way. This improvement makes the implementation of the burned area mapping algorithm less dependent on supervision and/or expert intervention compared to the previous version where membership functions were defined in a fully expert driven way [26]. Tests carried out on the exportability to new sites (4.4) confirmed that MFs are robust and provide reliable results in similar ecological conditions (Mediterranean ecosystems of Southern Europe). If other new regions have similar characteristics in terms of fire regime and land cover, the algorithm could be applied in its present form since it is robust and self-adaptive, stable and valid. The algorithm could be further automatized with MFs defined from training that are automatically extracted, for example, from active fire points in a hybrid approach able to combine multi-source information to add new evidence for burned area classification [10,16].
Integration of partial evidence to derive global scores was achieved with ordered weighted averaging (OWA) operators; OWA layers were then used as input to a region growing (RG) algorithm, which is largely exploited for image segmentation to balance omission and commission errors [25]. An initial seed layer, in which burned pixels are identified to minimize commission errors (i.e., in this case using an AND-like OWA), expands by adding new neighboring pixels belonging to a grow layer, identified to minimize omission errors (i.e., in this case OR-like OWA). The improved performance of the algorithm achieved with RG is presented in Figure 12 for the Vesuvius training site. First, the implementation of the RG combined with OWA significantly reduces relative bias (relB) that quantifies the difference between overestimation and underestimation. Moreover, RG reduces the higher omission error brought by AND-like OWAs (more restrictive conditions on the convergence of evidence) while it reduces commission of the OR-like operators. The balance between these two types of errors, as quantified by the Dice coefficient (dc), shows that RG brings significant improvement with respect to extreme OWA AND and OWA OR accuracy (dc~0.6).
Hence, two layers of global evidence were selected as input to the RG algorithm for seed selection and growing. Seeds were identified as pixels where OWA AND > 0.9 to guarantee the highest reliability relying on the OWA operator able to implement 'concurrent-strict' integration conditions. On the other hand, the grow layer is selected among operators implementing "partially complementary-relaxed" (average) and "complementary-relaxed" (OR-like) aggregation. The output of the RG algorithm (RG score ) is a continuous layer in [0, 1] that can be segmented to deliver a binary two-class burned/unburned map to be compared to reference fire perimeters (i.e., validation).
Preliminary analysis over the Vesuvius training site (Appendix A, Figures A2 and A3) showed that all pixels in the OWA grow layer could be retained as potentially burned (OWA grow > 0) and all evidence values from the RG algorithm contribute to burned area mapping (RG score > 0). Under these conditions, estimated accuracy metrics are commission error < 0. 22 The range of values is given by the three OWAs used as potential layers for growing boundaries. Accuracy metrics are more than satisfactory for a semi-automatic burned area mapping algorithm covering a wide range of fire and land cover conditions in Mediterranean ecosystems. Where fire severity is greatest, such as in the case of the Leiria site, Portugal, we observed that all three growing layers analyzed provided comparable accuracy.
In the literature, Pulvirenti et al. (2020) [48] proposed an automated algorithm based on S2 spectral indices over forest areas and achieved an average commission error of 6.3% and omission error of 12.7%. Similarly, Smiraglia et al. (2020) [49] obtained commission error = 33% and omission error = 24% by also exploiting S2 spectral indices. Furthermore, Seydi et al. (2021) [50] mapped burned areas with a random forest algorithm (proved to be the algorithm providing greatest accuracy) with ce = 8.7% and oe = 9.2%. Hence, the performance of the algorithm proposed here is consistent with published results.
The regression analysis over 500 m × 500 m grid cells confirmed the high spatial accuracy achieved over all sites and, in particular, over Kalamos and Zakynthos, Greece (R2~1, RMSE < 0.1 ha). Overall accuracy metrics ( Figure 10) showed that the algorithm tends to overestimate, with commission errors larger than omissions; the greatest overestimation rate being from the OWA OR (RMSE > 3 ha), as also shown by the agreement maps (Figure 9, third column). In these cases, areas erroneously classified as burned are mainly located in sparsely vegetated land covers. On the contrary, disagreement between reference and S2 classification and resulting in large omission errors occurred in the Leiria and Huelva sites. In these cases, the regression analyses highlighted local omission errors better than the overall accuracy metrics: visual comparison of RGB S2 composite images pointed out that these errors are due to unburned islands and linear patterns (e.g., roads) that are erroneously included in the reference burned polygons. Additionally, differences in pre-fire image date for S2 (our algorithm) and EMS products could lead to biased accuracy metrics; an example is reported in the (Appendix A, Figure A4). Although EMS delineation maps proved to be suitable source of information for validation [18] by delivering reliable fire perimeters in rapid mapping mode, inconsistency might occur locally. Since no detailed information is available on the accuracy of the EMS fire perimeters, we could not further investigate this issue.
From the algorithm point of view, even if a single OWA grow layer was not identified as the best performing across all sites, we can be confident in stating that OWA Average and OWA AlmostOR are the best ones. If the characteristics of a new region are known in advance and comparable to those of one of our test sites, we could select the best OWA case by case.

Conclusions
We propose a burned area mapping algorithm that is an improvement over a previous version [26] in several aspects:

1.
Customization to S2 imagery for implementing a convergence of evidence approach; 2.
Exploitation of additional spectral bands available from the S2 MSI instrument; 3.
Automatic interpretation of input features (e.g., post-fire and ∆ post-pre reflectance) through membership functions (MFs) defined from training statistics (partial evidence of burn); 4.
Tests of OWA operators from AND-like (for seed selection) to OR-like (for growing layer) integration criteria; 5.
Implementation of OWA global evidence in a region growing (RG) algorithm; 6.
Accuracy assessment over a wide range of conditions/locations in Southern Europe for the 2017 summer fire season.
Accuracy over training and exportability sites confirmed that the semi-automatic algorithm is robust and self-adaptive over different land cover and fire regime conditions in Mediterranean landscapes. Overall, accuracy metrics (oe < 15%, ce < 22%, dc > 0.84) are consistent with values from the literature for regional applications, although effort should be made in reducing commission errors. A key issue in the validation activity is the availability of reference fire perimeters comparable in space and time with the burned area maps from classification that could induce biased estimation of accuracy metrics. Finally, future activity will be focused on the exploitation of the output burn evidence from OWA operators and RG (RG score ) as an indicator of variable degrees of burn severity.      Figure A2. RG output score [0, 1] estimated over the Vesuvius training site OWAAlmostOR (a-e), OWAAverage (f-l) and OWAAl-mostOR (m-q) as growing boundaries and different threshold for identifying growing boundaries (Th) in [0.1-0.5] (left to right columns). Masked areas are in gray. In all cases the seed layer is OWAAND > 0.9. Figure A3. Accuracy metrics (omission error = oe, commission error = ce and Dice coefficient = dc) estimates for burned area maps obtained with the region growing (RG) algorithm over the Vesuvius site. Seed layer is the OWAAND score map and growing layers are: OWAAverage, OWAAlmostOR and OWAOR. Accuracy metrics are estimated for combinations of the threshold applied to the growing layers (OWAgrow, legend colors) and to the RGscore (x-axis).   2017, g,m) and burned areas from RG and EMS (c). S2 RGB are false color composites SWIR-NIR-Red. First column shows the location of the zoom areas and the last column RG classification (white to black background) and EMS reference perimeters (red line patterns).