Pixel-Based Long-Term (2001–2020) Estimations of Forest Fire Emissions over the Himalaya

: Forest/wildﬁres have been one of the most notable severe catastrophes in recent decades across the globe, and their intensity is expected to rise with global warming. Forest ﬁre contributes signiﬁcantly to particulate and gaseous pollution in the atmosphere. This study has estimated the pixel-based emissions (CO, CO 2 , CH 4 , NOx, SO 2 , NH 3 , PM 2.5 , PM 10 , OC, and BC) from forest ﬁres over the Himalaya (including India, Nepal, and Bhutan). The MODIS-based burned area (MCD64A1), Land Use Land Cover (LULC; MCD12A1), NDVI (MOD13A2), percentage tree cover (MOD44A6), gridded biomass, and species-wise emissions factors were used to estimate the monthly emissions from forest ﬁres over the last two decades (2001–2020). A bottom-up approach was adopted to retrieve the emissions. A substantial inter-annual variation of forest burn area was found over the western, central (Nepal), and eastern Himalaya (including Bhutan). The eastern Himalaya exhibited the highest average annual CO 2 emission, i.e., 20.37 Tg, followed by Nepal, 15.52 Tg, and the western Himalaya, 4.92 Tg. Spatially, the higher CO 2 (0.01–0.02 Tg year − 1 /km 2 ) and CO (0.007–0.002 Tg year − 1 /km 2 ) emissions were detected along the south-eastern parts of the eastern Himalaya, southern regions of Nepal, and south-eastern parts of the western Himalaya. The trend of forest ﬁre emissions in 2001–2010 was signiﬁcantly positive, while in the next decade (2011–2020) a negative trend was recorded. The estimated pixel-based emission and Global Fire Emission Dataset (GFEDv4.1s) data demonstrated a promising association with a correlation coefﬁcient (r) between 0.80 and 0.93. An inventory of forest ﬁre emissions over long-term periods can be helpful for policymakers. In addition, it helps to set guidelines for air quality and atmospheric transport modelling and to better understand atmospheric pollution over the Himalayan and associated regions


Introduction
Open biomass burning (including forest and grass and crop fires) release significant amounts of greenhouse gases (CO 2 and CH 4 ), trace gases (CO, NO x , SO 2 , NH 3 , etc.), and particulate matter (PM 10 and PM 2.5 ) that play an important role in atmospheric chemistry [1][2][3].Biomass burning is the largest source of black carbon (BC) and accounts for 59% of BC emissions, 85% of primary organic aerosol (POA) [4], and 40% of carbon dioxide (CO2) worldwide [5,6].Open biomass burning contributes one-third to one-half of worldwide carbon monoxide (CO) and 20% of nitrogen oxide (NOx) emissions [7].Furthermore, fires release more than 100 million tonnes of smoke aerosol into the atmosphere every year, with tropical fires accounting for about 80% of total smoke aerosol emissions [8].Moreover, forest fire is one of the largest contributors of mercury emission to the atmosphere, and the average annual mercury emission over the tropical continents is 497 Mg (ranging between 289 to 681 Mg) [9].These emissions (gaseous and particulate matter) from forest/wildfires have significantly altered the chemical compositions of the lower atmosphere and deteriorated regional and global air quality, and they have substantial adverse effects on human health, ecosystem productivity, and environmental health [10][11][12][13][14].According to studies, the annual mortality due to outdoor air pollution is 4.2 million (ranging from 3.7 to 4.8 million with 95% uncertainties), and open vegetation fire smoke accounts for up to 0.6 million premature deaths worldwide [15][16][17].The emitted greenhouse gases, trace gases, and particulate matter from forest fires, and their long-range transport, have contributed significantly to regional and global warming and climate change [2,18].Conversely, the changing climate (longer dry spells and higher temperatures) has significantly increased the severity of forest fires and also altered the spatiotemporal dynamics of fire regimes (i.e., fire size, season, pattern, and frequency) [19][20][21].Human-induced forest/wildfire episodes and their emissions also affect ecosystem functionality and biodiversity [14,22].Forest fire, including shrubland and grassland fire emissions, is an important input parameter and a significant source of uncertainty in air pollutant transport modelling and terrestrial biogeochemical modelling [23,24].Thus, a precise estimate of forest fire emissions is required to minimize uncertainty in atmospheric and terrestrial models and reveal their contribution to air pollution and climate change [25].
The estimation of forest/wildfire emissions is mainly based on the bottom-up and top-down approaches [3].The bottom-up approach has been extensively used to investigate forest fire emissions by plant functional types, including studies of near real-time PM 2.5 emissions over the US, mercury emissions over the tropical continents [9], and emissions from forest and crop fires over China [25] and India [22,26].The bottom-up technique is based on the amount and type of aboveground biomass burnt as a function of time, space, combustion efficiency, and species-wise emission factor, which is the amount of emission of a specific species per unit of biomass burned [3,27].Fuel load/biomass data are available at the regional scale, derived using explicit satellite measurements and extensive field observations, and serve as a reliable source for quantifying forest fire emissions [28].The combustion efficiency/factor is an essential factor that defines the spatiotemporal variations of the fuel moisture condition.However, studies have used the vegetation condition index (VCI) to quantify the combustion factor across tree cover fractions (T c ), i.e., >60% forest, 40-60% shrubland, and 40% grassland [9,25].Fire radiative energy (FRE), the rate of radiative energy during the combustion processes, can also be used to estimate emissions from open biomass burning [29,30].The FRE-based method can reduce uncertainty in satellite-derived burn area data, particularly for smaller and short-lived fires [25,[31][32][33].However, the main shortcoming of this method is the temporal revisiting interval of the satellite overpass.A frequent satellite observation (e.g., 15 min for Meteosat second generation) is essential to track proper fire dynamics for a more accurate assessment of biomass burning emissions from FRE [34].However, this type of satellite observation is limited.The top-down approach is based on downscaling the available atmospheric pollutants to predict emissions from open biomass burning.However, this method has a considerable approximation, dependent on the accuracy of measured atmospheric pollutants and the other sources of the pollutants over the region [35,36].The bottom-up (based on the burned area approach) technique has become more significant in estimating open biomass burning emissions globally.
The Himalayan forest belt is one of the most fragile ecosystems; uncontrolled forest fire is a frequent phenomenon, which is the main reason for forest degradation, diminishing ecosystem productivity, and biodiversity losses [22,[37][38][39].Forest fires in the Himalaya have been linked to poor air quality in non-monsoon seasons [40][41][42].The studies revealed a significant deposition of BC from biomass burning over Himalayan glaciers such as Gangotri and Tapovan during the peak fire season [43][44][45].BC is a climate-forcing agent that could enhance the rate of ice melting by lowering visible albedo, i.e., 4.2-5.1% [46].Northern Indian biomass burning in the springtime has a significant cooling effect of −27 W m 2 and −8 W m 2 at the surface and top of the atmosphere, respectively, over lower polluted high altitudes in the central Himalaya [47].Changes caused by biomass burning emissions may lead to greater absorption of short waves above the cloud, potentially altering monsoon rainfall [47].Because of higher forest fire activity in 2016, BC and organic carbon (OC) emissions heat up the Himalayan atmosphere at a rate of 0.04-0.06K day −1 , and changes in metrological conditions and BC contribute to a 5-20% drop in the fraction of snow cover [48].With the help of long-rage transport, forest fire emissions could significantly affect the surrounding region's environment.For this reason, a comprehensive and consistent measurement of forest fire emissions is important to early monitor and predict pollutants-induced changes in the surrounding regions.
Remote sensing-based measurements and geospatial tools have broadened the scope of open biomass burning monitoring and assessment across the globe [49][50][51][52].Through the extensive use of remote sensing measures, burn area identification, biomass estimation, and combustion completeness computation have been possible.Himalayan forest fire activities have a long historical legacy, but a continuous monitoring of fire emissions in a higher resolution is limited.The present study has addressed this gap and examined emissions with respect to metrological conditions.The specific objectives of this study are to (i) develop a long-term (2001-2020) and high-resolution (1 km × 1 km) emissions inventory (i.e., CO, CO 2 , CH 4 , NO x , SO 2 , NH 3 , PM 2.5 , PM 10 , OC, and BC) across the Himalaya (covering Indian, Nepal, and Bhutan parts); (ii) investigate the spatio-temporal dynamics of the emissions; and (iii) link the estimated emissions with meteorological conditions, to depict the regions of influence.

Study Area
The emissions from forest and grassland fires were quantified over the entire Himalaya of India (including the western and eastern Himalaya), Nepal, and Bhutan.The study area is characterized by diverse topography, i.e., from the riverine flood plain to high mountain peaks, ridges, and narrow valleys (Figure 1a).The climate of the study area widely varies from the western to eastern and southern to the northern part of the Himalaya due to the wide extent and physiographic variations.There is a hot humid, subtropical type (highest temperature and precipitation recorded between June and August), with a mild winter climate, found over the eastern Himalaya.The main active forest fire episodes occurred between March and April in this region.On the other hand, in the western and Nepal Himalaya, the climatic condition varies between tropical and temperate mountains, and the highest temperature is found from May to July.The peak fire activities in this region are concentrated between April and June [37].The dominating forest types of the study area are evergreen broadleaf (EBF), evergreen needleleaf (ENF), deciduous broadleaf (DBF), and mixed forest (MF) (Figure 1b).
where i and BA denote the forest type and burn area; F and CE are dry biomass load and combustion efficiency (ratio between actual combusted and available fuel loads (unitless)), respectively; EF is emission factors, i.e., emission of a component per unit of dry matter combustion (g kg −1 ).The methodological roadmap of the study is presented in Figure 2.
The datasets used to accomplish the emissions estimation are listed in Table 1.where i and BA denote the forest type and burn area; F and CE are dry biomass load and combustion efficiency (ratio between actual combusted and available fuel loads (unitless)), respectively; EF is emission factors, i.e., emission of a component per unit of dry matter combustion (g kg −1 ).The methodological roadmap of the study is presented in Figure 2. The datasets used to accomplish the emissions estimation are listed in Table 1.Table 1.List of the datasets used to accomplish the pixel-based estimation of forest fire emissions.

Burn area MCD64A1 v006
Monthly and 500 m Land Processes Distributed Active Archive Center (LP DAAC) Land Use Land Cover Decadal and 100 m EarthData

Land Use Land Cover (LULC)
The forest type information was retrieved from the global available Moderate Resolution Imaging Spectroradiometer (MODIS) yearly Land Use Land Cover (LULC) product (i.e., MCD12Q1; version 006).The MCD12Q1-based LULC has several classification schemes.The present study used International Geosphere-Biosphere Programme (IGBP), which comprises 17 classes [57].According to this LULC scheme, evergreen broadleaf, evergreen needleleaf, deciduous broadleaf, deciduous needleleaf, and mixed forest are the forest composition of the study area.The study also considers the shrub (closed or open shrubland) and grass (including savannas) land cover.The aforementioned forest types (including shrub and grassland) were used to categorize the burn areas and to calculate the forest-specific emissions.

Burn Area
The burn area (BA) product MCD64A1 version 006 was obtained from MODIS which is available in 500 m spatial and monthly temporal resolution.MCD64A1 uses a hybrid algorithm that applies a dynamic threshold to composite imagery generated from a burnsensitive vegetation index (VI), MODIS active fire observation (1 km), and landcover information.VIs are produced from atmospherically corrected surface reflectance products of bands 5 and 7, which are near-infrared (NIR) and shortwave infrared (SWIR), respectively [49].In comparison with MODIS BA collections 5 and 5.1 (earlier versions), this fire product reduces false alarms and uncertainties [58].Different fire-type observation data were used to validate the MCD64A1 burn area dataset worldwide [59].

Biomass
The above-ground biomass was obtained from the GEOCARBON global biomass dataset [28].This dataset was produced by merging and harmonizing biomass maps of [60,61] over the pan-tropical region with a spatial resolution of 1 km using independent field observations and locally calibrated high-resolution maps [25].This pan-tropical biomass map was integrated with the boreal forest biomass into GEOCARBON global forest biomass [62].The BIOMASAR algorithm has used the hyper temporal observation of Envisat Advanced Synthetic Aperture Radar (ASAR) backscattered to estimate the spatial forest growing stock volume (GSV) over the boreal forest of the northern hemisphere.The ASAR-based estimations are spatially well captured GSV over the four ecological regions, i.e., polar, boreal, temperate, and sub-tropical [63].The original downloaded biomass map was in Mg/ha unit and World Geodetic System (WGS84) projection system.For the study's purpose, the biomass value is converted to kg/m 2 unit.The scale of biomass varies from 0 to 60 kg/m 2 from the western to the eastern Himalaya (Figure S1), and the higher biomass is mainly exhibited over northern parts of the eastern Himalaya (including Bhutan) from dense evergreen broadleaf and needleleaf forest types.

NDVI and Tree Cover Percent
The MODIS TERRA-derived 16 days NDVI (MOD13A2 v006) level 3 and yearly percent tree cover (MOD44B v006) datasets were downloaded from the Google Earth Engine (GEE) repository after masking the quality assurance (QA) pixels.The MOD13A2 was derived from a daily composite of atmospherically corrected and bidirectional surface reflectance data [64].A sub-pixel level representation of the vegetation cover of the ground surface is expressed as a percentage (0 to 100%) in MOD44B, where 100 represents a dense forest and 0 represents no vegetation cover.The yearly percentage tree cover is produced using the monthly composite of surface reflectance (including land surface temperature) of Terra MODIS 250 m and 500 m data [65].

Wind Vector Data
The wind vector data from the European Centre for Medium-range Weather Forecasting (ECMWF) ERA5-Land at hourly scale and 1000 hPa and 950 hPa pressure levels were used to assess the wind speed and direction during high forest fire months (Table 1).

Combustion Efficiency (CE)
The combustion efficiency (CE) is a ratio between the actually combusted and the available amount of fuel load.It mainly depends on the fuel type and moisture content [66].The CE significantly varies across different fuel types and biomes.Usually, CE is considered a constant value, which is a source of bias in emission estimation and produces significant uncertainties.Previous studies used the fraction of tree cover (T c ) to define the spatiotemporal variabilities of CE, which assumes the CE is consistent with the landcover types (e.g., forest, grassland, and crop) [67][68][69].The pixel-wise CE was calculated as a function of T c as suggested by [7] and modified by [9].We retrieved T c from MODIS vegetation continuous fields (VCF) data, i.e., percentage tree cover (MOD44B v006).Based on the T c , the fuel types have been divided into three categories, namely, forest (>60%), shrubland (40-60%), and grassland (<40%) [70].These classes are reliable with the classification of [71].
The fuel moisture condition was considered in the forest CE CE f calculation.To incorporate the fuel moisture condition, we used the monthly MODIS-based VCI, which is reliable for calculating CE in various continental forests [72].The monthly VCI was calculated from MODIS-based NDVI (MOD13A2 v006) [35] over two decades (2001-2020) on 1 km spatial scale: where NDV I i is the NDVI of the given month, and NDV I min and NDV I max are the corresponding minimum and maximum NDVI of every year, respectively.The VCI ranges from 0 to 100, divided into six equal fuel moisture categories, i.e., very dry, dry, moderate, moist, wet, and very wet [35].After that, the monthly variations of moisture conditions were traced by incorporating the fuel moisture category factors (mcf ) in the CE calculation.The value of mcf increases from dry to wet fuels condition (i.e., very dry = 0.33, dry = 0.5, moderate = 1, moist = 2, wet = 4, and very wet = 5) [9,73].The mcf is only used in forest CE estimation, while in shrubland and grassland CE, the T c and VCI were used, respectively [70].
The shrubland CE (CE s ) of the herbaceous region was calculated as a function of T c according to Ito and Penner (2004) [9,70].
According to [70], the grassland CE (CE g ) is determined by the percentage of green grass compared to total grass, which could be quantified by satellite-measured grassland VCI.
Finally, we combined all the computed land cover-wise (forest, shrubland, and grassland) CEs to derive the pixel-wise CE from every month over the whole study area.An average monthly (2001-2020) CE was measured and presented in Figure S2.

Emissions Factors (EFs)
The emission factors (EFs) refer to the amount of particular pollutants emitted from biomass burning [3,25,35,74].EFs are a set of constants with a certain range of uncertainties.Here, we obtained EFs for different pollutants (gases and aerosols) in various biomass categories (forest types) from published studies over tropical and extra-tropical regions (Table 2) [3,7,35,[54][55][56]74].

Global Fire Emission Dataset
The Global Fire Emission Dataset version 4.1s (GFEDv4.1s) is a joint dataset of vegetation fire activities and productivity which estimates the monthly global scale burn area and fire emissions in 0.25 • grid cell [56,75].This version of GFEDv4.1s has incorporated the small fire patches from the MODIS burn area product, improving emission estimation accuracy.The present study has used this dataset to compare and validate the estimated emissions over the Himalaya.

HYSPLIT Model
A wind forward trajectory model, i.e., Hybrid Single-Particle Lagrangian Integrated Trajectory (HYSPLIT), was also performed to track the path of the air parcels blown from the high fire location [76].The HYSPLIT was computed at NOAA's Air Resource Laboratory (ARL; Website: https://www.ready.noaa.gov/HYSPLIT.php;accessed on 22 June 2022) in 2016 and 2018 at various high fire times and locations.

Variability of Forest Burn Area
The forest fire burn area significantly varies with space and time over the entire study area.The average (2001-2020) forest burn area fraction was substantially varied from the western Himalaya to the central Himalaya (Nepal) and the eastern Himalaya (including Bhutan and India part).The higher burn area fraction (0.7 to 1 km 2 ) patches were found over southeastern parts of the eastern Himalaya, southern parts of the central Himalaya, and southeastern parts of the western Himalaya (Figure 3a,b).The average annual burn area over the last two decades (2001-2020) was 5557.35 km 2, with a considerable size of variability (standard deviation (σ) = 2661.71km 2 ).In the first decade (2001-2010), the annual burn area showed a significant increasing trend of 755.7 km 2 year −1 (p = 0.01), while in the next decade (2011-2020) it showed a decreasing trend of −286.5 km 2 year −1 (p = 0.30) (Figure 3c).The forest fire burn area significantly varies with space and time over the entire study area.The average (2001-2020) forest burn area fraction was substantially varied from the western Himalaya to the central Himalaya (Nepal) and the eastern Himalaya (including Bhutan and India part).The higher burn area fraction (0.7 to 1 km 2 ) patches were found over southeastern parts of the eastern Himalaya, southern parts of the central Himalaya, and southeastern parts of the western Himalaya (Figure 3a, b).The average annual burn area over the last two decades (2001-2020) was 5557.35 km 2, with a considerable size of variability (standard deviation (σ) = 2661.71km 2 ).In the first decade (2001−2010), the annual burn area showed a significant increasing trend of 755.7 km 2 year −1 (p = 0.01), while in the next decade (2011-2020) it showed a decreasing trend of −286.5 km 2 year −1 (p = 0.30) (Figure 3c).

Inter-Annual Variations of Forest Fire Emissions
The emissions such as CO, CO2, CH4, NOx, SO2, NH3, PM2.5, PM10, OC, and BC from forest fire were computed over the Himalaya.Out of these pollutants, the highest emitted pollutant was CO2 from forest fires (including shrubs and grass).The average (̅ ) and variability (standard deviation; σ) of CO2 emissions from forest fire has reasonably varied from the western to the eastern part of the Himalaya.The highest annual average CO2

Inter-Annual Variations of Forest Fire Emissions
The emissions such as CO, CO 2 , CH 4 , NOx, SO 2 , NH 3 , PM 2.5 , PM 10 , OC, and BC from forest fire were computed over the Himalaya.Out of these pollutants, the highest emitted pollutant was CO 2 from forest fires (including shrubs and grass).The average (x) and variability (standard deviation; σ) of CO 2 emissions from forest fire has reasonably varied from the western to the eastern part of the Himalaya.The highest annual average CO 2 emission was found in the eastern Himalaya (x = 20.37 and σ = 14.56 Tg) followed by Nepal (x = 15.52 and σ = 12.39 Tg) and the western Himalaya (x = 4.92 and σ = 3.9 Gg) (Figure 4).The inter-annual variations of all the pollutants are listed in Tables S1-S3.The annual average emissions of all 10 pollutants are presented in Table 3.Over the entire study area, the annual average emissions from 2001 to 2020 were 2.52 Tg of CO (σ = 1.SO2 (σ = 0.012); 0.036 Tg of NH3 (σ = 0.019); 0.312 Tg of PM2.5 (σ = 0.164); 0.45 Tg of PM10 (σ = 0.24); 0.21 Tg of OC (σ = 0.11); and 0.014 Tg of BC (σ = 0.008).The inter-annual variations of the emissions over the entire study area have significant variability (Figure S3).
With respect to all the selected emissions species, the eastern Himalaya exhibited the highest amounts of emissions, as the forest burn area was higher in this region.In the case of the western Himalaya, the deciduous broadleaf and mixed forest type fires emitted the highest fire emissions (45.62% and 41.23%), followed by evergreen needle and broadleaf forest (11.23% and 1.91%), in respect of all 10 selected pollutants.In Nepal, the fire emissions from deciduous broadleaf forest (19.44%) were lower than mixed forest (79.16%).On the other hand, evergreen broadleaf forest fires in the eastern Himalaya emitted 29.98% of pollutants, lower than deciduous broadleaf forest (57.23%) and higher than mixed forest (12.43%) (Figure 5).With respect to all the selected emissions species, the eastern Himalaya exhibited the highest amounts of emissions, as the forest burn area was higher in this region.In the case of the western Himalaya, the deciduous broadleaf and mixed forest type fires emitted the highest fire emissions (45.62% and 41.23%), followed by evergreen needle and broadleaf forest (11.23% and 1.91%), in respect of all 10 selected pollutants.In Nepal, the fire emissions from deciduous broadleaf forest (19.44%) were lower than mixed forest (79.16%).On the other hand, evergreen broadleaf forest fires in the eastern Himalaya emitted 29.98% of pollutants, lower than deciduous broadleaf forest (57.23%) and higher than mixed forest (12.43%) (Figure 5).

Spatial Distributions of Emissions
The emissions from the different forest categories were estimated over a 1 km grid.We observed distinct and similar spatial patterns of emissions, albeit in different degrees,

Spatial Distributions of Emissions
The emissions from the different forest categories were estimated over a 1 km grid.We observed distinct and similar spatial patterns of emissions, albeit in different degrees, over the study area.To unfold the spatial distribution pattern of forest fire emissions, we have used the example of CO 2 and CO (Figure 6a,b).The higher CO 2 (0.01-0.02Tg year −1 ) and CO (0.007-0.002Tg year −1 in each grid cell) emissions were detected along the southeastern parts of the the eastern Himalaya, southern regions of Nepal, and south-eastern parts of the western Himalaya.The lower emissions pixels/patches were scattered towards some of the northern higher elevation regions of the western Himalaya, Nepal, and northwestern parts of the eastern Himalaya.

Temporal Trend of Emissions
The temporal patterns of forest fire emissions of all the species demonstrated similar and consistent annual variations from 2001-2020 over the study area.The highest emission was recorded in 2016, followed by 2009 and 2010 (Figure S3).From forest fires, 81.03, 77.00, and 67.05 Tg of total CO2 were released in 2016, 2009, and 2010, respectively.The annual of the emissions was quantified using a linear function; the magnitude of the trend in Tg (β), significant level (p), and coefficients of determination (R 2 ) are presented in Table 4.In the first decade, i.e., 2001-2010, there was a significant positive trend in forest fire emissions.The CO 2 increased at the rate of 5.49 Tg year −1 in the first decades.In contrast, a downward trend in emissions was recorded in the next decade (2011-2020), but only the OC emission trend reached up to a significant level (p < 0.05) (Table 4).The asterisk mark (*) shows significant trends over 95%.

Comparison with Other Measures and Uncertainties
The pixel-based estimated forest fire emissions of CO 2 , CO, OC, BC, CH 4 , and NO x were compared with the Global Fire Emission Dataset version 4.1s (GFEDv4.1s).The annual average and standard error (2001-2020) of the aforementioned emissions of this study and GFEDv4.1swere plotted in Figure 7. Except for NO x , all the emissions from this study (i.e., CO 2 , CO, OC, BC, and CH 4 ) were comparatively higher than in the GFEDv4.1s.The highest difference was found in OC emissions over the study area.This difference might be attributed to the different inputs (especially biomass and CE) in emissions estimation.The statistical association between the estimated emissions of this study and GFEDv4.1s(Table 5) showed a significantly promising association where the Pearson correlation coefficient (r) ranges from 0.8 to 0.93.In the case of CO 2 , the root mean square error (RMSE) and mean absolute error (MAE) between the estimated and GFEDv4.1swere demonstrated at 5.93 Tg and 9.33 Tg, respectively.

Discussion
The Himalayan belt is a fragile ecosystem with mountainous topography that witnessed a significant number of forest fire incidents over the last two decades (2001)(2002)(2003)(2004)(2005)(2006)(2007)(2008)(2009)(2010)(2011)(2012)(2013)(2014)(2015)(2016)(2017)(2018)(2019)(2020).The present study found a substantial interannual variability of forest fire activities over the Himalaya.There is also strong seasonal control of forest fire activities, as the pre-monsoon season (February to June) is the main forest fire period.However, the peak fire time varies from the western to eastern Himalaya.The highest forest fire emissions were seen

Discussion
The Himalayan belt is a fragile ecosystem with mountainous topography that witnessed a significant number of forest fire incidents over the last two decades (2001-2020).The present study found a substantial interannual variability of forest fire activities over the Himalaya.There is also strong seasonal control of forest fire activities, as the pre-monsoon season (February to June) is the main forest fire period.However, the peak fire time varies from the western to eastern Himalaya.The highest forest fire emissions were seen in March, April, and May over the study area (Figure S4).The key findings of this study indicate that the forest fire emissions and forest burn area significantly increased during the decade 2001-2010, but in the next decade (2011-2020) there was a decreasing trend.The average annual (2001-2020) CO 2 and CO emissions from forest fires were 40.81 Tg and 2.52 Tg over the entire study area, with the maximum forest fire emissions in 2016, 2009, and 2010.The above results are consistent with an independent dataset (GFED 4.1) that revealed the highest emissions over these years (especially in 2009 and 2010) (Figure S5).Few previous studies over parts of the Himalaya have recorded high fire activities and forest fire emissions in these aforementioned years [37,41,77,78].The eastern Himalaya recorded the highest emissions with an average annual CO 2 emission of 20.37 Tg, followed by Nepal (15.52 Tg) and the western Himalaya (4.92 Tg), due to higher burn area in the EBF, DBF, and MF regions over the eastern and Nepal Himalaya.Studying the forest type-wise emissions showed that MF, DBF, and EBF, respectively, have produced higher emissions.Spatially, the south-eastern part of the western and eastern Himalaya and the southern slope of Nepal revealed the highest forest fire emissions, which could be supported by the high fire activities of these regions.These regions have high proximity to the densely populated areas (mainly the Indo-Gangetic plain) of the western to eastern Himalaya (Figure S6).The previous studies based on ground-based and remote sensing-based measures also found a significant association between forest fire episodes and declining air quality over the western Himalayan region [40][41][42], the central Himalaya (Nepal) [79,80], and the eastern Himalaya [81].
The monthly average wind vector analysis (at a pressure level of 1000 hPa) of the high forest fire years 2010, 2016, and 2018 showed that the wind directions in the western Himalaya, Nepal, and eastern Himalaya are towards the south and south-east with a comparatively slow wind speed (Figure 8).This reflects the transportation of forest fire emissions towards the southern slope of the western and central Himalaya (i.e., Indo-Gangetic plain), a densely populated region of India.With respect to the wind vector plot at 950 hPa pressure level, most wind direction is south-eastern with a higher wind speed (Figure S7).This means that the high-energy forest fire smoke plumes would flow to the south-east and contribute to high altitudinal air pollution and long-range transport.Furthermore, we have traced the forward trajectory of air parcels using the Hybrid Single-Particle Lagrangian Integrated Trajectory model (HYSPLIT) at the vertical levels of 100 m, 500 m, and 1000 m over high forest fire times in 2016 and 2018 (Figure 9).The western Himalayan forward trajectory of 2016 (29 April to 1 May) showed initial transportation towards the north-east, then south and south-east, while the trajectory of 2018 exhibited south-eastward transportation of air parcels (Figure 9a,b).The northward transported forest fire smoke might precipitate the pollutants over the high altitudinal glacial surface.The studies found significant correspondences between the depositions of BC (from biomass burning) over Himalayan glaciers (like Gangotri and Tapovan) and forest fire activities [43,45,82], which accelerates the melting rate of glaciers [46].The forward trajectory over Nepal depicted eastward and north-eastward transportation, irrespective of the vertical level (Figure 9c,d).From the dense forest fire patches of the eastern Himalaya, mostly an eastward transportation of air parcels was recorded (Figure 9c,d).
Estimates of emissions from forest fires across a mountainous terrain are subject to relatively high uncertainties from burn area, biomass fuel, combustion efficiency, and forest-specific emission factors [25].MCD64A1, a global fire product, has proven to be a reliable source for forest/wildfire burn area for open biomass burnings, although detection of small fires (<21 ha) is challenging from the 500 m pixels [59].Moreover, the utilized biomass fuel layer has an uncertainty of up to 50% of the mean value [28].In addition, the empirical method used to determine the monthly combustion factors has an uncertainty of 20-30% [35].The study incorporated forest-specific emission factors for trace gases and aerosols from various literature, which might be a source of uncertainty in estimating forest fire emissions (Table 2) [25].Due to the limited availability of such a large regional scale biomass dataset, the study utilized a single biomass dataset [28] to estimate emissions, and hence, some degree of uncertainty remained in emissions estimation.Therefore, further studies are required to get more accurate input datasets for more precise forest fire emissions estimation.However, the most significant aspect of this study is that it is the first of its kind, estimating forest fire emissions on a 1 km grid over the last two decades (2001-2020).Furthermore, this emissions inventory might be used in regional atmospheric pollution and biogeochemical circulation modelling to obtain more accurate atmospheric dynamics of emissions.It can also be valuable for policymakers when designing strategies for reducing emissions from fires to meet the challenges of climate change mitigation.Estimates of emissions from forest fires across a mountainous terrain are subject to relatively high uncertainties from burn area, biomass fuel, combustion efficiency, and forest-specific emission factors [25].MCD64A1, a global fire product, has proven to be a reliable source for forest/wildfire burn area for open biomass burnings, although detection of small fires (<21 ha) is challenging from the 500 m pixels [59].Moreover, the utilized biomass fuel layer has an uncertainty of up to 50% of the mean value [28].In addition, the empirical method used to determine the monthly combustion factors has an uncertainty of 20-30% [35].The study incorporated forest-specific emission factors for trace gases and aerosols from various literature, which might be a source of uncertainty in estimating forest fire emissions (Table 2) [25].Due to the limited availability of such a large regional scale biomass dataset, the study utilized a single biomass dataset [28] to estimate emissions, and hence, some degree of uncertainty remained in emissions estimation.Therefore, further studies are required to get more accurate input datasets for more precise forest fire emissions estimation.However, the most significant aspect of this study is that it is the first of its kind, estimating forest fire emissions on a 1 km grid over the last two decades (2001-2020).Furthermore, this emissions inventory might be used in regional atmospheric pollution and biogeochemical circulation modelling to obtain more accurate atmospheric dynamics of emissions.It can also be valuable for policymakers when designing strategies for reducing emissions from fires to meet the challenges of climate change mitigation.

Conclusions
The study found a significant spatial variation of emissions and the highest annual average CO 2 recorded in the eastern Himalaya (20.37 Tg year −1 ), followed by Nepal (15.52 Tg year −1 ) and the western Himalaya (4.92 Tg year −1 ).The forest fire emissions over the Himalaya have had a significant interannual variability over the last two decades.However, the first decade exhibited increasing emissions but then there was a decreasing trend in the next decade (2011-2020).The mixed, deciduous broadleaf forest fire is responsible for the most emissions in the Himalaya, followed by the evergreen broadleaf forest fire.The southern slope of the western and central Himalaya (Nepal) and the south and south-eastern regions of the eastern Himalaya accounted for the highest forest fire fraction (0.7 to 1 km 2 ) and emissions.Higher forest fire emissions were found in 2016, 2009, and 2010, and the peak emissions season corresponds to the pre-monsoon (i.e., March, April, and May).The locations of high emission regions are in higher proximity to the populated areas of the western and eastern Himalaya, which contributes to deteriorating regional air quality and human health.Wind vector and trajectory analysis depict the direction and path of the forest fire emissions, i.e., mainly south and southeastward.This high-resolution emissions inventory and space-time dynamics in connection with wind vector analyses would provide a scientific and reliable basis for forest fire emission policy.

Figure 2 .
Figure 2. The methodology roadmap of forest fire emissions estimation and validation.

Figure 2 .
Figure 2. The methodology roadmap of forest fire emissions estimation and validation.

Figure 3 .
Figure 3. Annual average (2001-2020) forest fire burn area fraction (km 2 ) in a 1 × 1 km grid over the study area (a), the corresponding histogram of burn area fraction (b), and inter-annual variability of forest burn area (km 2 ) (c).

Figure 3 .
Figure 3. Annual average (2001-2020) forest fire burn area fraction (km 2 ) in a 1 × 1 km grid over the study area (a), the corresponding histogram of burn area fraction (b), and inter-annual variability of forest burn area (km 2 ) (c).
Remote Sens. 2022, 14, x FOR PEER REVIEW 12 of 22 eastern parts of the the eastern Himalaya, southern regions of Nepal, and south-eastern parts of the western Himalaya.The lower emissions pixels/patches were scattered towards some of the northern higher elevation regions of the western Himalaya, Nepal, and north-western parts of the eastern Himalaya.

Figure 6 .
Figure 6.The spatial distribution of annual average (2001-2020) CO 2 (a) and CO (b) in Tg/km 2 , including all the forest categories.

Figure 7 .
Figure 7.Comparison of annual averaged (2001-2020) emissions from Global Fire Emissions data version 4.1s (GFED v4.1s) with the pixel-based computed emissions of this study (Estimated).The error bar is based on the standard error of annual emissions.

Figure 7 .
Figure 7.Comparison of annual averaged (2001-2020) emissions from Global Fire Emissions data version 4.1s (GFED v4.1s) with the pixel-based computed emissions of this study (Estimated).The error bar is based on the standard error of annual emissions.
Figure S7: Wind vector plot on 950 hPa pressure level of March, April and May.Author Contributions: S.B.: Conceptualization, investigation, methodology, software, analysis, writing and editing original draft.B.R.P. and A.C.P.: Supervision, software, analysis, writing and editing original draft.N.K.: Supervision, review and editing.All authors have read and agreed to the published version of the manuscript.Funding: This work was supported by the University Grants Commission under the NET-JRF fellowship number [3289/(SC NET-JAN 2017)].Additionally, this work was supported by the Open Access Publication Fund of the University of Bonn, Germany.

Table 1 .
List of the datasets used to accomplish the pixel-based estimation of forest fire emissions.

Table 2 .
Emissions factors (EFs; g kg −1 ) and uncertainties of pollutants (gases and aerosols) by different forest types.

Table 3 .
The annual average and stand deviation of emissions (Tg year −1 ) from forest fire over the Himalaya.

Table 3 .
The annual average and stand deviation of emissions (Tg year −1 ) from forest fire over the Himalaya.

Table 4 .
Decadal linear trends (Tg year −1 ) of forest fire emissions over the entire study area.

Table 5 .
The statistical association between the estimated emissions from forest fire and the GFED4.1sderivedemissions (in Tg).

Table 5 .
The statistical association between the estimated emissions from forest fire and the GFED4.1s-derivedemissions (in Tg).