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# Doubling of annual forest carbon loss over the tropics during the early twenty-first century

## Abstract

Previous estimates of tropical forest carbon loss in the twenty-first century using satellite data typically focus on its magnitude, whereas regional loss trajectories and associated drivers are rarely reported. Here we used different high-resolution satellite datasets to show a doubling of gross tropical forest carbon loss worldwide from 0.97 ± 0.16 PgC yr−1 in 2001–2005 to 1.99 ± 0.13 PgC yr−1 in 2015–2019. This increase in carbon loss from forest conversion is higher than in bookkeeping models forced by land-use statistical data, which show no trend or a slight decline in land-use emissions in the early twenty-first century. Most (82%) of the forest carbon loss is at some stages associated with large-scale commodity or small-scale agriculture activities, particularly in Africa and Southeast Asia. We find that ~70% of former forest lands converted to agriculture in 2001–2019 remained so in 2020, confirming a dominant role of agriculture in long-term pan-tropical carbon reductions on formerly forested landscapes. The acceleration and high rate of forest carbon loss in the twenty-first century suggest that existing strategies to reduce forest loss are not successful; and this failure underscores the importance of monitoring deforestation trends following the new pledges made in Glasgow.

## Main

Fossil fuel carbon emissions, oceanic carbon sinks and atmospheric carbon dioxide growth rates have been quantified reasonably well in global carbon cycle analyses; however, estimates of land carbon sinks/sources still have large uncertainties1,2,3. Further, the trends in global land-use-change emissions are uncertain in the global carbon budget1, with results averaged from three bookkeeping models showing either increases or decreases in land-use emissions in the past decade1,4. In addition, the Global Carbon Budget 20211 suggests a negative imbalance between sources and sinks, whereas the Global Carbon Budget 20195 shows a positive imbalance. The contradictory trends in land-use-change emissions from different bookkeeping models result from differences in input land-use data, demonstrating the need for more accurate estimates to address the persistent uncertainty in closing the global carbon budget.

The net land carbon flux is the most uncertain component of the global carbon budget2,3. Deforestation in the tropics, currently the hotspot of global forest carbon loss6,7,8, directly releases carbon stored in vegetation and soil and indirectly decreases the carbon sink capacity of terrestrial ecosystems9,10,11. Large uncertainties exist in the spatiotemporal pattern of tropical forest loss and associated carbon stock changes in the twenty-first century12,13, such that the contribution of tropical forest ecosystems to the global carbon budget is contested12,13,14. Spatially explicit quantification of tropical forest carbon loss and its trajectory greatly helps reduce uncertainties and ascertain the contribution of tropical forest ecosystems to the global carbon budget over time.

In this article, we analyse gross forest carbon loss associated with forest removal over the tropics (between 23.5° N and 23.5° S but excluding northern Australia) during the twenty-first century. We quantify regional fluxes and trends, as well as examine the drivers of change and the fate of transitioning land uses following forest loss in an effort to gain insights on the permanence of forest conversion to other land-use types. Our analysis co-locates high-spatiotemporal-resolution forest loss from the Global Forest Change (GFC) product15 (annual data at 30 m spatial resolution) with corresponding values of forest (aboveground and belowground) biomass carbon and soil organic carbon (SOC). The GFC product was created using different algorithms and satellite data during the study period, potentially resulting in temporal inconsistencies16,17. To address this issue, we use a stratified random-sample approach18 to analyse forest loss area trends, following the recommendation of the Global Forest Watch19. Different from existing studies7,8,9,12,20, our analysis is based on the quantification of forest loss area using a stratified random-sample approach and of forest carbon loss using a ‘stratify and multiply’ approach21,22. Belowground biomass and soil carbon losses occur in nature as a transient legacy of forest aboveground carbon loss, but they are presented here as committed losses. Further, we assess the spatiotemporal dynamics of forest carbon loss, the different drivers of forest transitions and the permanence of land-use types established after forest loss. Our estimates of gross carbon losses ignore partial carbon recovery in secondary forests and plantations; and they cover all activities that result in forest cover loss, including both natural and anthropogenic disturbances.

## Patterns of forest carbon loss

Overall, the stratified random-sample estimate of mean annual carbon loss from tropical forest conversion is 1.39 ± 0.14 PgC yr−1 during 2001–2019 (Fig. 1a). This estimate includes an aboveground shoot biomass carbon loss of 1.01 ± 0.11 PgC yr−1 (73%), a belowground root biomass committed carbon loss of 0.28 ± 0.03 PgC yr−1 (20%) and a SOC committed loss of 0.10 PgC yr−1 (7%). We find that mean annual tropical forest carbon loss during the last five years of our analysis (2015–2019, 1.99 ± 0.13 PgC yr−1; Fig. 1a) has more than doubled from that of the first five years of the twenty-first century (2001–2005, 0.97 ± 0.16 PgC yr−1). The increase in aboveground carbon loss dominates this doubling of the total loss (72%, 0.74 ± 0.06 PgC yr-1), followed by belowground committed carbon loss (20%, 0.20 ± 0.02 PgC yr−1) and SOC committed loss (8%, 0.08 PgC yr−1). Throughout the study period, annual forest carbon loss significantly increased at a rate of $$0.60_{ - 0.10}^{ + 0.21}$$ PgC yr−1 decade–1 (subscript and superscript values give the 95% confidence interval; Mann–Kendall test; P < 0.01). We further find that 22% of the total tropical forest carbon loss occurred in the mountains during the 19 yr study period (Fig. 1b), even though they represent only 17.8% of the whole tropical land areas. Mountain areas contribute 33% of the doubling in tropical forest carbon loss, indicating a clear acceleration in mountain forest carbon loss23. In particular, mountain forests in tropical Asia, which have relatively high biomass carbon stocks23,24 (Supplementary Fig. 1), have experienced high rates of conversion during the past two decades. These trends have not been explicitly incorporated in recent assessments, including the Intergovernmental Panel on Climate Change Sixth Assessment Report6.

The spatial pattern of changes in annual forest carbon loss varies regionally (Fig. 2). Since 2001, annual forest carbon loss increased significantly and continuously over tropical Africa and Asia (P < 0.01), accounting for 38% and 43% of the increase in pan-tropical carbon loss, respectively (Supplementary Fig. 2). In Africa, annual forest carbon loss sharply increased in the Congo basin (for example, Democratic Republic of the Congo (D. R. Congo) and Cameroon), Angola and some countries to the north on the west African coast (for example, Guinea, Ivory Coast and Liberia) during 2015–2019 (Table 1). Parts of Southeast Asia (SEA), particularly Peninsular Malaysia, Sabah state and some Indonesian islands, are lingering hotspots of forest carbon loss25. More recently, forest carbon loss increased quickly in northern parts of montane mainland SEA (Fig. 2 and Table 1). By contrast, the trend in forest carbon loss over tropical America during 2001–2019 is not significant (P > 0.05), even though losses are locally high in some areas. For example, during 2001–2005, most forest carbon loss occurred between the Cerrado and Amazonian biomes in Brazil, in the area known as the Arc of Deforestation (Fig. 2a). During 2015–2019, forest carbon loss declined in southeastern Amazonian regions of Brazil, including the Mato Grosso and Rondônia states, but increased in the central Para and Maranhão states. Increases also occurred in southeast Bolivia, central Peru, Mexico and Central America (Fig. 2b,c). Annual forest carbon loss over tropical America reached its highest levels during 2016–2017, occurring mostly in Amazonia (Supplementary Fig. 3a–c). It was once projected that Brazil would halve deforestation rates by 2020, on the basis of data from 2001 to 201320. However, our updated analysis shows a reversal and a new increase in Brazil’s forest carbon loss after 2015. Our reported trend in forest carbon loss during the 2010s in Brazil is in agreement with forest area change observed in the Brazilian Amazon using a different methodology26, further confirming the increase in forest carbon loss in the region since 2015 and demonstrating that our results are robust to the choice of a forest loss algorithm17.

## Drivers of forest carbon loss

By combining our results with a map of forest loss drivers27, we find that the conversion of forest to some types of agricultural land dominates forest carbon loss in all three continents, but geographical differences do occur over time (Fig. 3). In tropical America, much of the lands replacing forest are large-scale commodity agriculture operations, including rangelands for beef, and croplands for oilseeds and cereals (Fig. 3b). In Brazil (Fig. 3e), for example, commodity-driven conversions decreased sharply from 2004 to 2009, remained stable during 2010–2014 and substantially increased afterwards. Small-scale agriculture (including various forms of shifting agriculture) also plays an increasingly important role in forest carbon loss in this region. In Brazil, a substantial acceleration in forest carbon loss from small-scale agriculture (24.3 TgC yr−1 decade–1, P < 0.05) was partly opposed by a slight decrease in forest carbon loss from large-scale (commodity) agriculture (−2.4 TgC yr−1 decade–1; Table 1). Overall, total annual forest carbon loss in Brazil for the 19 yr period is the highest globally (373.0 TgC yr−1; Table 1), far exceeding losses in any other country.

In contrast with tropical America, the increases in annual forest carbon loss in tropical Africa and Asia were continuous during the study period (Supplementary Fig. 2). In tropical Africa, the expansion of small-scale agriculture contributes to 34% of the doubling of tropical forest carbon loss worldwide. The increasing annual forest carbon loss in the Congo rainforest (Fig. 3f) relates to forests replaced by non-mechanized, small-scale, shifting agriculture, for example, in D. R. Congo, in neighbouring Angola and, to a lesser extent, in Cameroon28,29. Often, these systems have evolved from traditional agriculture systems to hybrid forms using fire, shortened fallows, extended cultivation cycles and increasingly commercial crops30. In tropical Asia, agricultural expansion also dominates (62%) the increase in forest carbon loss, contributing an 18% to the doubling of tropical carbon loss worldwide (Fig. 3d). However, losses in montane mainland and peninsular/maritime SEA are dissimilar (Fig. 3g,h). In the north of mainland SEA, commodity-driven forest carbon loss exhibits continuous increases that involve plantation rubber and vast expanses of maize grown for livestock feed31. Forestry activities associated with selective logging and smallholder farming are also responsible for considerable and increasing forest carbon loss27. In peninsular/maritime SEA, forest conversion to oil-palm and rubber plantations32 makes up most forest carbon loss, which increased in magnitude in the region during 2001–2011 before decreasing thereafter. Annual forest carbon loss in maritime SEA has not increased since 2010, in contrast to the increases occurring in the montane mainland SEA. This stabilization in maritime SEA may reflect the depletion of accessible forest following very long histories of exploitation25. Despite stabilization in forest loss, Indonesia leads tropical Asia in annual forest carbon loss at 203.6 TgC yr−1, and Malaysia is the second, with 74.4 TgC yr−1 (Table 1).

## The fate of cleared lands

To further provide insights into the fate of converted lands, we visually interpret additional very-high-resolution (3–5 m) satellite imagery from Planet’s Constellation to examine post-forest-loss land cover in 2020 from 1,000 randomly sampled GFC loss pixels where forests were replaced by agricultural lands (Methods and Supplementary Fig. 4a). This analysis shows that, across the tropics, ~30% of the lands transitioning to agriculture (either commodity or small-scale) began to regenerate as shrubland or forest by 2020 (Supplementary Fig. 4b). This level of agricultural ‘abandonment’, detectable as shrubland/forest in 2020, could result from land abandonment by farmers or from policies promoting restoration of forest land. It might also be, in part, associated with fallows and, therefore, a false signal of abandonment.

For tropical America, where commodity agriculture is the key driver of forest loss, more than 79% of the forest lands transitioning to agriculture in 2001–2019 remained agricultural lands in 2020 (Supplementary Fig. 4b). This finding suggests the possibility that the forests cleared were first logged, with farmers or ranchers later beginning agricultural activities and subsequently allowing some land to revert back to forest. In the Amazon, land speculation has been shown to leave the cleared lands unattended; poor planning, financial shortage and illegal settlement have also forced farmers to abandon cultivated lands, leading to vegetation regrowth33. For tropical Africa, where small-scale agriculture (often in the form of shifting cultivation practices) is the dominant activity on formerly forested lands, the proportion remaining as agriculture in 2020 is smaller for areas where forest loss occurred between 2001–2005 (34%) compared with those where the loss occurred in 2015–2019 (57%). This difference suggests either an intensification of agriculture or a reduction in fallow length within shifting agriculture in this region. In tropical Asia, half of the cleared lands between 2001 and 2005 were not in agricultural use in 2020, but only ~20% of the lands cleared between 2015 and 2019 regenerated. The lower rate of abandonment of the more recently converted patches may possibly reflect an increasing percentage of clearing to support commodity agriculture34. Overall, the high rate of abandonment of converted agricultural lands to regenerate suggests a waste of agricultural conversion, a situation that should be considered in land-use modelling.

## Discussion

This study provides high-spatiotemporal-resolution quantification and attribution of forest carbon loss across the tropics, allowing new insights on the role of land-cover change35,36. High-resolution satellite images help identify small-scale forest loss events and avoid some offsetting of forest losses by gains at a coarser pixel level12,14. In coarse-resolution assessments, small-scale and/or partial forest loss is usually considered to be degradation12 and, therefore, could be mapped inaccurately for carbon loss assessments. High-resolution satellite data also highlight the role of roads in providing access and, consequentially, exploitation of formerly undisturbed forest resources, as documented in the Amazon for several years37. Increasingly, forest carbon loss has occurred along road corridors in the Congo basin and SEA countries, including Laos38,39. Rivers also provide access to forests and allow transport of forest and agriculture products downstream40. The pervasive presence and acceleration of forest losses along roads and rivers in Amazon basin, the Congo basin and SEA (Supplementary Fig. 3) indicate that the frontier of forest loss has been carved deep into previously intact forests.

Our aboveground carbon loss estimate is comparable to previous assessments (Supplementary Table 1), yet with differences that originate, in part, from differences in methodology and input data, in the study period, and in the extent of tropical regions included. While other studies7,9,12,20,22 did not report carbon losses from belowground biomass and soils, our inclusion of these two components as committed loss terms increases the average forest carbon loss by 38% in our assessment. Further, our estimates of forest carbon loss should be more robust as we use an unbiased stratified random-sample approach and correct the mismatches of spatial resolution between forest loss (30 m) and carbon density maps (500–1,000 m) (ref. 41), reducing uncertainties in quantifying forest carbon loss. The stratified random-sample approach is independent of the change detection method in the GFC data, thereby reducing the likelihood of producing erroneous results during mapping16,17. Importantly, our assessment identifies more forest loss in the mountains than have previous assessments, where land-clearing tends to occur in smaller patches that are not fully detectable by coarse-resolution images6,31,42.

Further, the estimated trend in carbon loss from forest conversion to agriculture is positive (Supplementary Fig. 5), which differs from the flat or decreasing trend of gross sources calculated by three bookkeeping models used in the assessments of the global carbon budget1. These bookkeeping models are forced by statistical data of national forest area or a model of agricultural area expansion43 and may not capture spatial patterns of deforestation and impacted biomass carbon stocks. However, the gross carbon source of bookkeeping models1 has a higher absolute value than our satellite-based results, probably because bookkeeping models include a simple account of forest degradation losses (based on harvest) whereas this carbon loss/recovery process is not included in our study. Further, bookkeeping models assume areas of shifting agriculture and a residence time for this cultivation practice, whereas shifting agriculture is explicitly included in the satellite data that we analysed.

Concerning the uncertainties in our study, we estimated committed losses of belowground biomass carbon and SOC that do not fully represent the immediate emissions. Here, ‘committed’ means that we estimated the equilibrium value of carbon pools long after conversion, although some belowground vegetative biomass carbon and SOC would not be immediately lost (or emitted to the atmosphere) after forest removal. Dead aboveground biomass may be transferred to other carbon pools (for example, retaining in wood products12 or decaying as slash), and belowground biomass may be retained in the soil and decay over time. The dynamics of these pools could be calculated in future studies using bookkeeping models and decay functions. Yet, our assumption of committed loss does not affect the long-term trend in annual forest carbon loss12. Further, we used static biomass maps, which assume that the forest biomass does not change over time. Although earlier work tried to quantify forest biomass changes using annual biomass maps (that are not publicly available, to our knowledge)12, these maps have uncertainties and give a biomass change inconsistent with higher-resolution GFC data in some regions41. Thus, we used four biomass maps (Methods) to quantify the uncertainty of forest carbon stocks44. Considering the marginally small annual changes relative to total forest carbon stocks across the tropics45, this assumption of static forest biomass does not question the doubling of the forest carbon loss. Further studies are required to map and quantify annual forest biomass change using more in situ biomass and lidar observations, as well as high-resolution satellite data. Overall, these uncertainties are unlikely to impact our finding of the doubling of tropical carbon loss based on vegetative biomass and SOC changes immediately after forest removal.

The doubling of tropical forest carbon loss in the second decade of the twenty-first century demonstrates a failure to halve tropical deforestation rates by 2020 as committed under the 2014 New York Declaration on Forests20. Our work demonstrates the immense challenge posed by the Glasgow Leaders’ Declaration on Forests and Land Use, which pledges to halt forest loss in less than a decade46. Acceleration in tropical forest loss also casts doubt on the likelihood of achieving the carbon emission reduction target by 203047, making it more challenging to limit global warming to below 2 °C by the end of this century. Our findings highlight the importance of monitoring deforestation trends and imply an urgent need to reduce forest loss. We advocate that tropical nations put forward sustainable land management strategies and policies to effectively reduce forest carbon loss for climate change mitigation, which must include efficient and legal strategies to produce commodities and food without compromising tropical forests.

## Methods

### Global map of forest cover change and its validation

We use a high-resolution map of global forest cover change15 (annual intervals at 30 m spatial resolution; version 1.7) to quantify forest loss across the tropics. The GFC dataset maps where and when forests were converted (naturally and anthropogenically) from 2001 to 2019. Trees are defined as all vegetation taller than 5 m in height, and forests are defined with a tree canopy threshold of at least 30%. The definition of forests includes plantations and tree crops such as oil palm. Forest loss is the mortality or removal of all tree cover within a pixel.

Our study uses the v.1.7 product that spans the period 2001–2019 for the analysis. Different methods are used for detecting forest cover loss in two periods (2001–2010 and 2011–2019). This change in detection method as well as in satellite data (Landsat 7 and Landsat 8) might result in inconsistencies of data during the two periods. Therefore, we perform an independent assessment of the v.1.7 product throughout the study period (2001–2019) using stratified random-sample reference data. We randomly sample 18,000 pixels, a much larger sample population than the assessment of the original product (v.1.0, 628 pixels across the tropics; ref. 15), and visually interpret forest loss using Landsat imagery. Specifically, we randomly select 50 path/row locations (World Reference System II) of Landsat imagery in each tropical continent (150 path/row locations in total in the three tropical continents; Supplementary Fig. 6). For each path/row location, we randomly select 20 loss pixels and 10 non-loss pixels in each period of 2001–2005, 2006–2010, 2011–2014 and 2015–2019, with total sampling pixels of ~18,000 ((20 loss + 10 non-loss) × 50 path/row locations × 4 periods × 3 continents). Our study compares the increase in forest carbon loss from the start (~2001) to the end (~2019) of the study period. Thus, we divided the whole 19 yr study period into four subperiods (2001–2005, 2006–2010, 2011–2014 and 2015–2019), with the first five years considered as the start period and the last five years considered as the end period for the comparison. Some path/row locations do not have 20 loss pixels in a specific period; for example, there is no loss detected in some locations of the Sahara. Therefore, we sample 11,198 loss pixels and 6,000 non-loss pixels (Supplementary Data). Finally, we download time-series Landsat imagery covering 1999–2020 to visually interpret these pixels as reference data.

Following the suggestion of Global Forest Watch19 and per best practice guidance of ref. 18, we use a stratified random-sample approach for area estimation, which is independent of the method and satellite changes in the GFC data. The sampling reference data (Supplementary Data) are used to estimate loss area:

$${\it{p}}_{hi} = w_h\frac{{\mathop {\sum}\limits_{j = 1}^{150} {n_{hij} \times A_{hi}} }}{{\mathop {\sum}\limits_{j = 1}^{150} {n_{hj} \times A_i} }}$$
(1)

where phi is the stratified random-sample estimated area for GFC map class h that is classified as reference class i; wh is the proportion of the total area GFC map class h; nhij is the number of pixels in GFC map class h that is classified as reference class i in jth Landsat path/row location; nhj is the total number of pixels in GFC map class h in jth Landsat path/row location; Ahj is the total area in GFC map class h in jth Landsat path/row location; and Aj is the total land area of jth Landsat path/row location.

We then calculate the error matrix, which includes overall accuracy (OA), user’s accuracy (UA) and producer’s accuracy (PA), as follows:

$${\mathrm{OA}} = \mathop {\sum}\limits_{h = 1}^H {p_{hh}}$$
(2)
$${\mathrm{UA}}_h = \frac{{p_{hh}}}{{p_h}}$$
(3)
$${\mathrm{PA}}_j = \frac{{p_{jj}}}{{p_j}}$$
(4)

where UAh is the UA for stratum h; ph and pj are the total area in stratum h and j, respectively; and PAj is the PA in stratum j.

Using the preceding equations, we estimate OA, UA and PA in the four periods (Supplementary Table 2). In general, OAs are >99%, UAs are >88% and PAs are >72% in each period. The stratified random-sample approach for area estimation is considered the most robust method to investigate loss trends in GFC product and can avoid inconsistencies of the dataset due to changes in detection model and satellite sensors19. Our results show that the forest loss from the stratified random-sample approach is similar to GFC mapped loss, both of which show a consistent increase during the four periods of 2001–2019 (Fig. 1a), confirming the increasing forest carbon loss across the tropics during the early twenty-first century.

### Forest carbon stocks

We estimate forest (aboveground and belowground) biomass carbon losses by co-locating GFC loss data with corresponding biomass data. Forest biomass maps are not universally reliable, owing to uncertainties and some degree of bias. We use four biomass maps to quantify forest carbon stocks, which helps reduce the uncertainties and bias44. The four maps were developed by refs. 9,48,49,20 and are hereafter referred to as ‘Baccini’, ‘Saatchi’, ‘Avitabile’ and ‘Zarin’ maps, respectively. The Baccini map, derived from Moderate Resolution Imaging Spectroradiometer (MODIS) data, presents aboveground live woody biomass (AGB) across the tropics at 500 m spatial resolution. The Saatchi map, also derived from MODIS data, presents total forest carbon stocks at 1 km spatial resolution across the tropics. The Avitabile map, integrated from the Baccini and Saatchi maps, shows AGB at 1 km resolution across the tropics. The Zarin map, derived from Landsat data, presents AGB across the globe at 30 m resolution.

Belowground root biomass (BGB) data are sparse because measurements of BGB are time consuming, laborious and technically challenging50. Thus, we calculate BGB (in Mg ha−1 biomass) from AGB maps (Baccini, Avitabile and Zarin) using an empirical model at the pixel level51:

$${\mathrm{BGB}} = 0.489 \times {\mathrm{AGB}}^{0.89}$$
(5)

Total forest biomass is calculated as the sum of AGB and BGB. Finally, total forest carbon stocks (MgC ha−1) in live woody forest are estimated as 50% of total biomass20,50. The Saatchi map provides total forest carbon stocks rather than AGB. The total forest carbon stocks are calculated from AGB using the same method mentioned in the preceding50. Thus, we estimate AGB and BGB from total forest carbon stocks in the Saatchi map using the preceding method to separate aboveground and belowground parts of forest carbon stocks.

There are inconsistencies in the MODIS-derived biomass maps (Baccini, Saatchi and Avitabile) and Landsat-derived GFC data41, which may underestimate forest carbon loss by the three coarse forest biomass maps (Supplementary Fig. 7). The Zarin map is derived from Landsat data and considers tree cover using GFC data, and tree loss can be co-located with the corresponding biomass20, indicating the consistencies of the Zarin map and GFC. Therefore, to correct the three biomass maps with coarse resolution and reduce the inconsistencies, we resample the Zarin map from 30 m to 500 m (the resolution of the Baccini map) and 1 km (the resolutions of the Avitabile and Baccini maps) and calculate forest carbon loss using the two resampled biomass maps. We then estimate the ratios of forest carbon loss derived from the 30 m biomass map to the forest carbon loss derived from resampled biomass maps in each GFC tile (10° × 10°). The ratios are then used as a scale factor to correct the three biomass maps (Baccini, Saatchi and Avitabile). For the resampling, forest carbon density at 500 m or 1 km is averaged from all 30 m pixels in the corresponding locations.

### Soil organic carbon stocks

Deforestation not only causes forest biomass carbon loss, but also results in loss of SOC10. We calculate SOC loss at 0–30 cm soil depth as:

$${\mathrm{SOC}}_{{{{\mathrm{loss}}}}} = {\mathrm{OCS}} \times \theta$$
(6)

where SOCloss is SOC loss resulting from forest loss measured in MgC ha−1, OCS is SOC stocks at 0–30 cm depth measured in MgC ha−1 and θ is the SOC loss rate.

We obtain SOC stocks at 0–30 cm depth from SoilGrids (version 2.0), created by the International Soil Reference and Information Centre52. SOC stocks are calculated using a calibrated quantile random forest model at a spatial resolution of 250 m. We further resample the data from 250 m to 30 m using the nearest-neighbour method to match the scale of forest cover loss data.

SOC loss rate is affected predominantly by land-use types following forest loss and tree species53. The loss rate data are compiled from a previous meta-analysis, which summarizes the rate of SOC loss resulting from forest loss over the tropics50. SOC losses resulting from primary and secondary forest loss differ (Supplementary Table 3). We use a map of primary humid tropical forests in 2001 developed by ref. 54 to classify primary and secondary forests. The land covers following forest loss are determined according to the driver of forest loss (see Drivers of forest carbon loss). The spatial resolution of the SOC data is coarse compared with GFC data, which may result in inconsistencies in the calculation. However, as SOC loss resulting from forest loss accounts for a small proportion of total forest carbon loss (8%), we ignore the potential inconsistencies.

### Drivers of forest carbon loss

We determine drivers of tree-cover loss using the dataset generated by ref. 27. This dataset shows the dominant driver of tree-cover loss at each 10 km grid cell for 2001–2019. There are five categories of drivers of tree-cover loss: commodity-driven deforestation, defined as permanent and/or long-term clearing of trees to other land uses (for example, commodity croplands), shifting agriculture, forestry, wildfire and urbanization. Commodity-driven deforestation, shifting agriculture and forestry dominate tropical forest loss27. Thus, wildfire and urbanization are combined and categorized as ‘others’. In tropical Africa, spatial patterns of commodity-driven deforestation are almost similar to that of shifting agriculture, as pointed out by ref. 27, resulting in large uncertainties in separating commodity agriculture from shifting agriculture. Since commodity-driven deforestation is usually for large-scale agricultural plantations, we treat commodity-driven deforestation as loss for large-scale agriculture. Because shifting agriculture is usually smallholder and/or patchy farming systems, we term shifting agriculture as small-scale agriculture, which may include commodity agriculture with similar spatial patterns to shifting agriculture in some regions such as tropical Africa. The driver data are created using decision-tree models trained by ~5,000 high-resolution Google Earth imagery cells, showing overall accuracy of 89 ± 3% from a separate validation of more than 1,500 randomly selected cells. We resample the data from 10 km resolution to 30 m using the nearest-neighbour method to match the scale of forest cover loss data.

### Interpretation of post-forest-loss land covers in 2020

We collect cloudless and very-high-resolution satellite imagery in 2020 from Planet to determine the fate of the agriculture-driven forest loss during 2001–2019. Planet provides two products, RapidEye (at a spatial resolution of 5 m) and Doves (at a spatial resolution of 3 m; 4-band PlanetScope Scene). We randomly sample 500 pixels that show forest loss owing to agriculture expansion during 2001–2005 and 500 pixels that show forest loss owing to agriculture expansion during 2015–2019, then check cloudless satellite imagery in 2020 to visually interpret the land cover of each sampled pixel in 2020. We classify three types of land cover: agricultural land, forest/shrubland and others (Supplementary Fig. 4). Rubber and oil-palm plantations are classified as agricultural lands.

### Uncertainty and methods for analysis

We use committed emissions of forest carbon, even though some of this carbon will be lost only in later years or transited to other carbon pools or stored as wood products12. Forest carbon loss is defined as gross carbon loss due to forest removal (as indicated by GFC product), including (aboveground and belowground) forest biomass carbon and SOC losses. We calculate only the gross loss of forest carbon stocks while gain of carbon via reforestation and afforestation is not considered.

We first estimate reference sample-based forest loss area using sample data:

$${\mathrm{AS}}_j = {\mathrm{AM}}_j\mathop {\sum}\limits_{h = 1}^H {p_{hj}}$$
(7)

where ASj and AMj are reference sample-based forest loss areas and mapped forest loss areas in stratum j, respectively.

To estimate forest carbon loss (aboveground, belowground and soil carbon) using sample-based forest loss area, we apply a ‘stratify and multiply’ approach21,22 by assigning mean forest carbon density for each stratum. Aboveground and belowground forest carbon losses are estimated using four biomass maps (Baccini, Saatchi, Avitabile and Zarin), and we report ensemble mean ± s.d. from the four maps as our best estimate.

Mountain forest carbon loss at different elevations is calculated by overlaying mountain polygon from the Global Mountain Biodiversity Assessment inventory55 (version 1.2) and the 30 m ASTER Global Digital Elevation Model56 (version 3).

Although our validation shows that the GFC (v.1.7) product could accurately map forest loss, we cannot reduce the omission and commission errors. In addition, the accuracy of the disturbance year is 75.2%, with 96.7% of the disturbance occurring within one year before or after the estimated disturbance year in GFC product15. Therefore, we calculate 3 yr moving averages of annual forest and related carbon losses for time-series analysis, following the suggestion of the Global Forest Watch19 and refs. 28,38. We use a non-parametric Theil–Sen estimator regression method53 to detect trends in time-series results and test the significance of the trend by Mann–Kendall test57.

### Reporting Summary

Further information on research design is available in the Nature Research Reporting Summary linked to this article.

## Data availability

The global map of forest cover loss is available at https://earthenginepartners.appspot.com/science-2013-global-forest/download_v1.7.html. The ASTER elevation data are available at https://earthdata.nasa.gov/. The GMBA inventory is available at https://ilias.unibe.ch/goto_ilias3_unibe_cat_1000515.html. The map describing the drivers of forest loss is available at https://data.globalforestwatch.org/datasets/tree-cover-loss-by-dominant-driver. The four biomass maps (Avitabile, Baccini, Saatchi and Zarin) are available at http://lucid.wur.nl/datasets/high-carbon-ecosystems, https://developers.google.com/earth-engine/datasets/catalog/WHRC_biomass_tropical, https://gfw2-data.s3.amazonaws.com/forest_cover/zip/tropical_forest_carbon_stocks.tif.aux.zip and https://data.globalforestwatch.org/datasets/3e8736c8866b458687e00d40c9f00bce_0/about, respectively. Soil carbon stocks are available at https://www.isric.org/explore/soilgrids. The primary humid tropical forest map is available at https://glad.umd.edu/dataset/primary-forest-humid-tropics. The Planet very-high-resolution satellite imagery is available at www.planet.com. Time-series Landsat imagery is available at https://earthexplorer.usgs.gov/. All datasets are also available upon request from Z. Zeng.

## Code availability

The scripts used to generate all the results are MATLAB (R2020a). Analysis scripts are available on request from Z. Zeng.

## References

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## Acknowledgements

This study was supported by the National Natural Science Foundation of China (grants no. 42071022, 41861124003 and 41890852) and the start-up fund provided by Southern University of Science and Technology (no. 29/Y01296122). We thank Hansen/UMD/Google/USGS/NASA for providing the high-resolution forest change data; NASA and Japan’s Ministry of Economy, Trade and Industry for providing the elevation data; Körner for providing the GMBA inventory; Avitabile, Baccini, Saatchi and Zarin/GFW for providing the aboveground biomass density maps; Curtis/GFW for providing forest loss driver maps; SoilGrids/ISRIC for providing soil organic carbon data; Turubanova/UMD for providing primary humid tropical forest maps; and Planet for providing very-high-resolution satellite imagery. We thank S. Hu, S. Liang, Y. Liu, Y. Liu, J. Zou and B. Zeng for validating the GFC product via high-resolution satellite image interpretation.

## Author information

Authors

### Contributions

Z.Z. and T.D.S. designed the research; Y.F. performed the analysis; Y.F., Z.Z., T.D.S. and A.D.Z. wrote the draft. All authors contributed to the interpretation of the results and the writing of the paper.

### Corresponding authors

Correspondence to Zhenzhong Zeng, Ji Chen or Chunmiao Zheng.

## Ethics declarations

### Competing interests

The authors declare no competing interests.

## Peer review

### Peer review information

Nature Sustainability thanks Rico Fischer, Sharif Mukul and Pontus Olofsson for their contribution to the peer review of this work.

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## Supplementary information

### Supplementary Information

Supplementary Figs. 1–7 and Tables 1–3.

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Feng, Y., Zeng, Z., Searchinger, T.D. et al. Doubling of annual forest carbon loss over the tropics during the early twenty-first century. Nat Sustain 5, 444–451 (2022). https://doi.org/10.1038/s41893-022-00854-3

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• DOI: https://doi.org/10.1038/s41893-022-00854-3