## Introduction

Trends in fire activity are of increasing interest as indicators of human-driven environmental change, particularly vegetation transformation and climatic feedbacks1,2,3. Despite increasing wildfire risk due to climate change4, fire activity has declined by ~15–23% globally over recent generations1,5, perhaps especially the last 30 years1,6,7,8,9,10. Modelling by Ward et al.5 attribute declines in global burned area over the 20th century to the conversion of natural vegetation to cropland. Satellite observations by Andela et al.1 similarly suggest that agricultural expansion as well as intensification and landscape fragmentation have reduced burned area in the Global South since 1997, as by fragmenting burning into smaller, cooler fire fronts, by converting flammable biomass, and/or promoting more effective fire prevention. These reductions have concentrated in the savannahs and sub-tropics of northern Africa and eastern South America1,5,6,7,9,11, where natural burning is relatively extensive. Reductions are less clear for the humid tropics, where extensive burning is caused largely and directly by humans. There, agricultural development might trace trajectories of increasing then decreasing fire activity, perhaps in step with increasing then decreasing deforestation rates9,12 or certain agricultural activities; or agricultural development may alternatively stoke persistently elevated fire activity due to the loss of mitigating microclimates and soil moisture following forest degradation13,14,15.

Fire-activity trends remain particularly uncertain for the equatorial and broader Southeast Asian regions due to discrepancies amongst studies. Reported regional trends are variously decreasing but non-significant, controlling for precipitation1; increasing-to-decreasing, depending on period, absent any reporting of statistical significance7,10; and non-significant6,16, including for Indonesia, which dominates regional trends16. Discrepancies centre on fire data sensitivity, observation period, whether the confounding effects of drought are observed, and whether trends are tested for significance. Crucially, reported trends invariably reflect aggregate fire activity that conflate large fire events with less destructive but ubiquitous smaller-scale agricultural burning17,18,19, potentially masking shifts to fire regimes driven by changing economic, political, or climatic factors.

Current patterns and magnitudes of Indonesian fire activity emerged during the 1970s20, when industrial forestry and agriculture began opening forests and peatlands to recurrent El Niño drought. Seemingly in keeping with historical trends, 2019 experienced severe drought and burning17, while 2015 burning and drought were the most severe since unprecedented 1997 fire season21,22, provoking between 12,000 and 100,000 excess respiratory deaths23,24,25 and \$16 billion in economic losses26. Despite continued extremes, Indonesian burning arguably reflects emergent trends consistent with fire abatement described by Andela et al.1 and Ward et al.5 The propensity for burning increased but then diminished over 1980–2010 in Kalimantan (Indonesian Borneo), in step with forest degradation and conversion, according to AVHRR satellite active-fire detections (AFDs) controlling precipitation and land use/cover2. Significant associations between MODIS satellite AFDs and oil-palm concessions in 2002 became insignificant by 201527, controlling for precipitation and land cover, while total AFDs declined across oil-palm concessions over 2003–2013 in Kalimantan and Sumatra28. Although total annual MODIS burned area (BA) exhibit no clear trend in Sumatra and Kalimantan over 2001–201829, given pronounced inter-annual variability due in turn to variation to precipitation, burning did shift from tall vegetation to low/degraded mosaic vegetation and occurred in areas extensively deforested since 199029,30. Since 2015, fire-suppression and land-management programmes have maintained MODIS AFD frequencies below expected levels across 11 Mha of fire-prone agricultural areas, particularly in Sumatra17,31,32.

Potential fire abatement remains challenged by vast degraded peatlands and forests in Indonesia. Whilst incrementally converted by agriculture, degraded land is also continuously (re)generated2,33,34 and, particularly for peatlands, become more fire prone with degradation30. Degraded peatlands account for one-third to half of Indonesian burning18,30,35,36, or as much as 60% during the severe 2015 drought37, according to aggregate AFD or BA observations. Due to their very high-carbon stock, peatlands are a major source of fire emissions, estimated to have accounted for ~80–85% of Indonesian fire emissions during the 201521,38 and 1997/9839, or slightly over 50% during 2005–200928, notwithstanding lower estimates of ~40% for Indonesia in 201540 and for Equatorial Asia over 1997–201641. Given the higher estimates above, emissions from Indonesian burning in 1997 were 13–40% of mean annual global carbon emissions from fossil fuels39, while fire emission rates in late 2015 exceeded fossil emission rates of the European Union21. Likely reflecting the steady progression of peatland degradation since the 1990s, Field et al.42 report an increased susceptibility to burning in southern Kalimantan as of 2015, given severe drought. This was not the case for Central-South Sumatra, however, where peatlands were first and most widely degraded by agriculture30,33,43 and where drought is historically most severe44, suggesting decreased susceptibility there.

Here, we clarify the long-term trend to Indonesian fire activity, accounting for the changing susceptibility to burning given drought, as well as the nature of land management driving the trend. We reveal a significant attenuation of severe fire activity over 2002–2019 despite recurrent drought, and indicate that the coordinated management of mosaic agricultural lands is responsible. To this end, we disaggregated overall fire activity by the severity of discrete fire events and the management intensity of burned lands. Fire events are spatio-temporal clusters of daily MODIS AFDs, the severity of which is defined by the product of fire-event duration (days) and fire-event scale (total fire radiative power; FRP) (Eq. 1) and which is therefore correlated with, but distinct from, FRP. We report an attenuation of severe fire activity in terms of (i) declining annual rates of severe and very severe fire events, controlling for fire-season precipitation (July–December), and (ii) declining severity of seasonal fire activity (January–June, July–December), controlling for seasonal precipitation. We show that this attenuation of severe fire activity is underlaid by a declining incidence of cultivated mosaic lands amongst severe fire events and their ignitions, but that attenuation remains partially countered by an increasing incidence of peatswamp forest amongst these fire events and ignitions.

## Results

### Attenuating severe fire activity

An attenuation of severe fire activity is apparent given declining rates of severe and very severe fire events. Here, severe and very severe fire events are those meeting or exceeding the 75th and 90th percentiles of national fire-event severity over 2002–2019, respectively. Annual rates of severe and very severe fire events decreased significantly by 19–27% across Indonesia over 2002–2019 (Fig. 1a, b, p < 0.01), controlling for fire-season precipitation (Fig. 1c; model R2 = 0.76 & 0.81, respectively). Declining rates were despite the regularity of drought at levels historically associated with elevated fire activity, particularly in 2015 and 201917,44 (Fig. 1c). Declining rates described by dashed lines in Fig. 1 capture the 2002–2019 time series ‘as is’, treating all years equally. As certain years host fire activity disproportionately due to recurrent drought37,44 and, therefore, are arguably more important to long-term trends, a case can be made for unequal treatments. Declines in rates of severe and very severe fire events notably remain highly significant if weighting trends by overall national annual fire activity, defined by annual AFD frequencies, as depicted by the solid lines in Fig. 1a, b (p < 0.01, model R2 = 0.79 & 0.84, respectively).

The downward effect of time on national rates of severe and very severe fire events was substantial, at 39–67% that of precipitation (Supplementary Table 1). In practical terms, over a given 8–12-year interval, rates declined by an extent equivalent to the average difference in rates between a drier year of heightened burning, such as 2019, and moderately dry or normal year, such as 2018. This downward effect of time is particular to severe and very severe fire activity. Annual total fire activity exhibited a downward but statistically insignificant trend nationally over 2002–2019, controlling for precipitation, consistent with the aforementioned studies of aggregate AFDs and BAs for Indonesia and Southeast Asia1,6,16,29.

Rates of severe fire events also declined significantly in Indonesia’s fire-affected regions, namely Central-South Sumatra and Southern Kalimantan (Fig. 2e), as well as in predominantly agricultural areas recently targeted for fire suppression (hereafter, Targeted Areas; p < 0.01, model R2 = 0.49–0.67; Supplementary Fig. 1), controlling for precipitation. Regional declines were appreciable but statistically weaker when weighting trends by national fire activity (p ≤ 0.6, model R2 = 0.36–0.74). Regional rates of very severe fire events declined significantly only in Southern Kalimantan (p < 0.01, model R2 = 0.82), again less acutely when weighted (p = 0.07, model R2 = 0.75), contrary to reported increased susceptibility to burning there given severe drought as of 201542. The weakening of statistical relationships amongst weighted regional trends reflects the partial annual correspondence between regional rates and national fire activity.

An attenuation of severe fire activity is also apparent given the declining severity of seasonal fire activity over 2002–2019. This measure is given as the skewness of fire-event severity scores per season and is indicative of both the extremeness and extensiveness of fire activity (Eq. 2, Supplementary Note 1). Precipitation accounted for 30–53% of the severity of seasonal fire activity over 2002–2019, depending on region (Supplementary Table 2). Net of this effect of precipitation, seasonal severity declined significantly over time in Central-South Sumatra (p < 0.05), moderately in Southern Kalimantan and the Targeted Areas (p < 0.1), and non-significantly nationally (Supplementary Table 2, Fig. 3), reflecting in the latter case the greater variability of seasonal severity at the national scale. Absolutely, declines in the severity of seasonal fire activity over time were appreciable only in Central-South Sumatra where, not incidentally, droughts are also relatively acute44 (Fig. 1c), consistent with assertions of diminished susceptibility to burning there42. There, the passage of time affected the severity of seasonal fire activity 62% as much as precipitation, accounting for slightly more than one-third of observed decline (Supplementary Table 2).

No significant trends to rates of severe or very severe fire events or to the severity of seasonal fire activity were apparent if not controlling for precipitation. This was expected, given extreme inter-annual variability of Indonesian burning29. The large magnitude of this variability frustrates the reliable detection of relatively minor trends to absolute fire activity, as affirmed by studies reporting no trends for Equatorial Asia16, and is itself underlaid by the highly non-linear relationship between precipitation and burning45. Accordingly, above we report on attenuating fire activity, that is, significant declines in rates of severe fire events and in the severity of seasonal fire activity for a given level of drought. It is plausible that, over longer periods (e.g., >30 years), attenuation will translate into unambiguous declines to absolute burning. Preliminary support for this possibility arguably exists, namely significant declines in total annual fire-event severity amongst severe (p < 0.05) and very severe (p < 0.1) fire events in Central-South Sumatra over 2002–2019, and similarly negative but insignificant trends for Southern Kalimantan (Supplementary Fig. 12). The ~5% decline in total burned area for Equatorial Asia during 2010–2019 compared to 2000–200910 is also consistent with a declining trend.

### Managed lands and fire-activity severity

The role of progressive land management in the observed attenuation of severe fire activity would be indicated by shifting associations between severe fire activity and certain land-uses/covers, particularly fire-prone lands degraded by agriculture1 (Table 1). We find evidence for such shifts upon determining robust trends (Table 2; Fig. 2e, f) to the relative frequencies of annually-observed land uses/covers of varied management intensities (Table 1; Fig. 2d) amongst AFDs of fire events, severe fire events, and their ignitions, controlling for national fire activity (Supplementary Note 2, Supplementary Note 3). Ignition(s) are defined as the earliest AFD(s) per fire event. Consistent with attenuation due to land management, over 2002–2019 fire activity became significantly less-prevalent across mosaic lands incorporating >50% agriculture/plantations (mosaic cropland), but not across mosaic lands incorporating <50% agriculture/plantations (mosaic vegetation) (Table 2). This uneven trend is despite each mosaic class accounting for an equal one-fifth share of overall national fire activity (Table 1), being spatially integrated with one another (Supplementary Fig. 5), and having comparable rates of fire activity (Table 1), total extents, and proportional extents under active land use (Supplementary Fig. 4).

Mosaic cropland became significantly less prevalent amongst ignitions of severe fire events (Table 2b blue cells) and of all fire events (Table 2d) in all regions of Table 2 but Peatland. (Hereafter, Peatland denotes the regional extent of peatlands of varied land uses in Fig. 2c). In Central-South Sumatra and Southern Kalimantan, mosaic cropland declined in prevalence amongst ignitions of severe fire events in these regions, at a rate of ~–0.5% yr−1 of such ignitions in these regions (Table 2b). Accordingly, over 2002–2019, 9–10% of ignitions of severe fire events in these two fire-affected regions transitioned away from mosaic cropland, as did 11% of such ignitions nationally. Mosaic cropland decreased in prevalence more markedly amongst ignitions of all fire events (Table 2d), especially in Central-South Sumatra (–0.75% yr−1). In Peatland, forest, rather than mosaic cropland, significantly declined in prevalence amongst ignitions (Table 2b, d).

Land use/cover trends observed for whole fire events (Table 2a, c) reflect those for ignitions but also extend to forests. As with ignitions, mosaic cropland became less prevalent amongst all fire events in the fire-affected regions (-0.5% yr−1) (Table 2c). Also as with ignitions, forest, rather than mosaic cropland, declined in prevalence amongst severe and all fire events in Peatland (Table 2a, c). However, severe fire events exhibited land-use/cover shifts departing from those of ignitions or all fire events generally. Forest, not mosaic cropland, declined in prevalence amongst severe fire events nationally and in most regions (Table 2a). Nationally, 11% of AFDs of severe fire events shifted away from forest over 2002–2019. Differences between the land use/cover shifts observed for severe fire events (Table 2a) and their ignitions (Table 2b) partly reflect sampling differences that raise the minimum fire-event severity of the former relative to the latter (Supplementary Note 2). In this light, Table 2 suggests that declining fire activity across mosaic cropland (Fig. 2e) translated into reduced extreme fire activity across forest (Fig. 2f).

### Attenuating fire-activity extremes and peatland

Shifting associations between fire activity and land use/cover over Peatland (Fig. 2c) were distinct from those of the surrounding fire-affected regions (Fig. 2f). As noted, severe fire events and their ignitions over Peatland experienced a declining incidence of forest, rather than mosaic cropland (Table 2a, b), underscoring peatlands’ unique role in the attenuation of severe fire activity. The upshot of such distinctive land-use trends amidst burning and/or distinctive fire regimes on peatlands is that they may retard, or even offset, a generalised attenuation of severe fire activity, consistent with the long-term concentration of Indonesian fire activity on peatlands37. Our data support this possibility of retardation or offset while also recognising attenuation over peatlands, as detailed below.

Regarding concentrated burning on peatlands, very severe fire events across Peatland accounted for 76% of the total severity for all fire events nationally over 2002–2019 (Fig. 2a–c). This fraction greatly qualifies previous reports of ~30–60% of national fire activity on peatlands based on aggregate observations of BAs or AFDs18,30,35,36,37. Relatively severe fire activity in Peatland compared to mineral soils (Fig. 2a–c) reflects myriad historical and geographic factors, including greater and more frequent extremes of fire-event severity in Peatland (Supplementary Fig. 7). Notably, severe fire events in Peatland are characterised by relatively energetic burning, that is, greater fire radiative power indicative of greater biomass consumption46, as opposed to larger fire events with relatively many AFDs or having longer durations. On Peatland, total FRP per fire event accounted for 51–52% of the scale of severe and very severe fire events when controlling for AFD quantity per event, compared to only 30–33% on mineral soils (p < 0.01, log-log partial correlations weighted by severity; Supplementary Table 7). Fire-event scale, in turn, accounted for 97% and 93% of fire-event severity on Peatland and mineral soils, respectively (r2 of log–log correlation weighted by severity, p < 0.01).

Regarding attenuation over peatlands, declining fire activity across mosaic cropland and/or forest coincided with significant increases to the prevalence of flooded vegetation amongst fire events and ignitions, regionally and nationally (Table 2 orange cells). Flooded vegetation describes peatswamp forest fringed by agriculture but which remains relatively unmanaged and intact (Fig. 2c, d). Flooded vegetation so encompasses virtually all remaining primary peatland forest30 and half of peatlands >2 m deep (Supplementary Fig. 5, Supplementary Table 6). Amongst ignitions of severe fire events (Table 2b), increases to the prevalence of flooded vegetation were generally less than or comparable to decreases in the prevalence of mosaic cropland or forest, including for Peatland, consistent with attenuation. Nationally, 6% of ignitions of severe fire events shifted towards flooded vegetation over 2002–2019, or about half the corresponding 11% shift away from mosaic cropland (Table 2b). In contrast, amongst severe fire events (Table 2a), increases to the prevalence of flooded vegetation were generally much greater than decreases to the prevalence of mosaic cropland or forest, as in the fire-affected regions, though crucially the Peatland region is exceptional in this respect. There, shifts towards flooded vegetation remained comparable to shifts away from forest, suggesting relatively concerted, if distinctive, local processes of fire prevention across peatlands.

## Discussion

Previously, fire abatement driven by intensifying land management in the developing world was observed virtually exclusively in naturally fire-prone savannah biomes, such as northern Africa1,11. We extend such abatement dynamics to the humid tropics for the first time upon disaggregating overall fire activity into discrete fire events and quantifying their severity for Equatorial Asia, describing ultimately an attenuation of the severe fire activity that has arisen largely since ca.1970. We report significant declines in the rate of severe fire events across Indonesia and its fire-affected regions over the last two decades (Fig. 1), as well as significant declines in the severity of seasonal fire activity, particularly in Sumatra (Fig. 3).

Such attenuation of severe fire activity departs from the prior anthropogenic amplification of fire activity20, which commenced in the 1960s with a rapid expansion of degraded vegetation39,47,48. Crucially, this attenuation, underlain by changing land-use/cover amidst burning, also appears contrary to projections of increased regional fire activity due to climate change49,50. In this respect, our findings affirm earlier conjecture for Equatorial Asia that “land manager responses to expected shifts in tropical precipitation may critically determine the strength of climate–carbon cycle feedbacks during the 21st century”45. The observed attenuation further qualifies previous reports of non-significant downward trends in overall fire activity in Southeast Asia1, as it does reports of no trend whatsoever for Indonesia6,16,29. Correspondingly, a similar attenuation of severe fire activity is conceivable for other tropical regions, particularly South America, where previously reported trends in overall fire activity were similarly non-significant downward1 and for which major countries (i.e., Brazil) have similarly attempted to depress fire activity with some success10,51.

Our observations elaborate dynamics possibly underlying a recently-reported divergence between burned area, which has been declining regionally and pantropically over the last two decades, and fire emissions, which have remained steady or even increased per unit burned area, as in equatorial and northern Africa10. In Southeast Asia (including Indonesia), total burned area of 2010–2019 declined by ~5% relative to 2000–2009, yet fire CO2 emissions per unit burned area remained constant10. Such a divergence would arise if, as we observe, the attenuation of fire-event severity manifests widely over mosaic agricultural areas yet not in comparable but higher-biomass, less managed mosaic lands, even if still extending to forests in the case of extreme fire activity. Such a divergence would also arise if, as we observe, severe fire activity remained stable or ascendent across carbon-dense flooded vegetation, consistent with a concentration of Indonesian burning on peatlands since the 1990s37 following historical agricultural expansion30,33,52. Such selective attenuation, favouring lands of relatively moderate carbon stock (mosaic cropland) or limited extent within epicentres of severe fire activity (forest; Fig. 2a, d), supports explanations of the divergence in question citing an increasing fraction of burning in forest-dominated, high-carbon areas10.

The Indonesian case further clarifies dynamics underlying the divergence in question in terms of modes of fire abatement and emission reduction. Heightened fire activity during 2019 in Indonesia, Amazonia, Australia, and Russia resulted in the greatest global discrepancy between fire emissions and burned area of the last two decades10. In Indonesia, the significance of the increasing prevalence of flooded vegetation amongst severe fire events over 2002–2019 was, in fact, conditional on heightened burning during late 2019 and late 2015 to a lesser degree (Supplementary Note 2). This conditionality underscores the centrality of recurrent, drought-driven, relatively brief, and largely predictable47,53 periods of extreme burning to the divergence between burned area and fire emissions. In turn, this conditionality suggests that recent, targeted fire prevention across Indonesian peatlands17, which reduced fire activity by ~30% in 201917, may gradually diminish this divergence and, further, that such interventions must feature prominently in emission-reduction efforts in similar contexts punctuated by periodic extreme burning. In contrast, the declining prevalence of mosaic cropland and nearby forest amongst severe fire activity was more robust over our time series (Supplementary Note 2), indicating an alternative, relatively constant, incremental, and generalised mode of land management yielding less intensive emission reductions.

Drought reoccurred throughout our time series (Fig. 1c) and was accounted for, both as a variable in our models and by variations to our time-series observations. Therefore, non-climatic factors, namely land management, must underlie the attenuation of severe fire activity. Conceptually, land management has been characterised as progressive agricultural capitalisation1, typified by agricultural investment, intensification, modernisation, and commercialisation. Capitalisation doubtless plays a role in fire abatement, as for instance amongst Indonesian smallholders, who progressively replaced swidden practices with oil-palm permaculture since the 1990s54,55. Yet capitalisation is ultimately a crude determinant of fire abatement and has an uncertain, seemingly nuanced role here. Consistent with the expected role of capitalisation, fire activity declined widely across mosaic cropland, but not the less cultivated and capitalised mosaic vegetation (Table 2). On the other hand, the literature is clear that the relatively capitalised Indonesian agro-industrial sector has a relatively high association with the extensive burning of disused lands, compared to less capitalised land users17; that Indonesian agro-industrial investment has been declining56, as described below; and that the vast majority of such investment has occurred prior to or during agricultural establishment57, which has been ongoing decades. Some clarity of the role of capitalisation may be offered by the fact that fire activity declined rarely and relatively moderately across intensively-farmed cleared/cultivated lands (Table 2), which also have a relatively high fire-occurrence rate (Table 1). Conceptually, therefore, transitioning from mosaic vegetation to mosaic cropland to cleared/cultivated lands as per the presumed course of progressive land management would perversely increase overall fire activity, likely due to more frequent agricultural fires, while simultaneously reducing severe fire activity generally, as per our observations.

This model of attenuation resonates with recent developments in Indonesia suppressing severe fire activity in managed lands, summarised below:

1. (i)

Agricultural intensification and vegetation conversion in managed landscapes has reduced biomass subject to agricultural burning. Sumatra experienced much greater in-situ agricultural intensification and related vegetation conversion than Kalimantan, as indicated by Sumatra’s larger and growing rate of agro-industrial expansion over farmed or cleared lands rather than forest since 200043,58. This concords with Sumatra’s greater decline in seasonal fire-activity severity (Fig. 3d) and susceptibility to burning42 despite its relatively severe droughts (Fig. 1c)44.

2. (ii)

Agricultural planning and fire management are gaining efficacy and urgency. A growing reticence to license peatland conversion by 201059 led to moratoria on agro-industrial plantation concessions in 2011 and 201660,61,62. These promoted intensified, rather than expansionary, agro-industrial production and were relatively protective of peatlands. Further, following economically and politically costly burning during 2013–201522,63, the central government intensified fire prevention, principally in mosaic agricultural Target Areas (Supplementary Fig. 1), depressing fire activity17,31. The eager and arguably novel cooperation of the agro-industrial sector32,64 was integral to this effort. Cooperation was motivated by major losses of financial investment and planted stock due to 2013–2015 burning, both for oil palm65 and pulp-and-paper interests, apparently limiting burning across plantations by 201918.

3. (iii)

Oil-palm expansion has slowed. The drastic slowdown to oil-palm expansion since 201256 would have reduced extensive burning on peripheral degraded lands, given agro-industrial activities’ disproportionate influence on the same17. Slowed oil-palm expansion reflected downward commodity-price trends, reducing investment accordingly56, a trend compounded by tightening oil-palm concession licencing and allowing greater opportunity for fire-prevention initiatives. The slowdown to oil-palm expansion overall is seemingly more relevant to attenuation than the slowdown to related forest conversion12, which was relatively recent and moderate30,56.

The preceding characterises attenuation via land management as an active, if serendipitous, convergence of political forces and economic trends where and when fire prevention becomes feasible and urgent. Such a dynamic complements and extends conceptualisations of passive fire abatement via agricultural capitalisation. Initial capitalisation typically foments additional agricultural development and burning2 and, in time, degraded-land conversion (item i above), greater monitoring and regulation (item ii), and greater political and economic costs for uncontrolled burning (items ii & iii), all of which gradually tip towards attenuation in semi-cultivated mosaic lands. Such a nuanced linkage between attenuation and capitalisation would resolve the apparent contraction whereby fire abatement proceeds from capitalised lands to less capitalised peripheries while attenuation proceeds from the most severe burning to the least.

## Materials and methods

### Experimental design

We observed trends in severe Indonesian fire activity relative to variable precipitation and land-management intensity over 2002–2019, nationally and regionally. To this end, we parsed overall, aggregate fire activity observed as MODIS AFDs into spatio-temporally discrete fire events and their respective ignitions (Section “Fire events and ignitions”). In turn, we estimated the severity of these fire events, both individually as a function of their scale, thermal intensity, and duration, and collectively as a function of their severity frequency distribution (Section “Fire-event severity”). Finally, we statistically determined robust declining trends in the annual rate of severe fire events and to the severity of seasonal fire activity over 2002–2019, controlling for precipitation respectively during the traditional fire season (July–December) or either bi-annual season (January–June, July–December) (Section “Trends in fire-activity severity”). For a given region, we similarly determined highly uneven trends in severe fire events and their ignitions amongst constituent agricultural land uses and vegetative land covers of varying management intensity, also observed continuously over 2002–2019 (Section “Land use/cover shifts and fire-activity severity”).

### Fire events and ignitions

Fire events are defined as spatio-temporal clusters of MODIS Collection 6 MCD14ML AFDs66,67 observed across Indonesia between 1 July 2002 and 31 December 201968 (Fig. 4). Each AFD denotes one or more fires per ~1-km MODIS pixel, observed four times daily, and is represented by a latitude-longitude coordinate point at the pixel’s centre. We clustered a given AFD into a given fire event when (i) the AFD occurred within a 1-km2 grid cell that was the same as or adjacent to a cell hosting AFDs already in the fire event (Fig. 4 Events 1 & 3–4; A, D); and (ii) the AFD occurred within four days of AFDs already incorporated by the fire event and in the same or an adjacent cell (Fig. 4F), following Sloan et al.17 and Cattau et al.69. The 1-km2 grid cells reflect the ~1-km pixel resolution underlying the MODIS AFD data. July 2002 is the earliest date when both MODIS instruments aboard the Terra and Aqua satellites were operational. Partial temporal coverage for 2002 is inconsequential since virtually all fire activity occurs during July–December17,70. The four-day threshold accounts for upper MODIS AFD omission-error rates for Indonesia71. Comparisons of our fire events against those defined using more conservative two-day or three-day thresholds indicate minimal to negligible differences in terms of fire-event number, duration, ignition pattern, and size inequality69,72. For each fire event, its ignition(s) are those AFD(s) with the earliest detection date (Fig. 4). For very large events, such as events formed by the coalescence of multiple nodes of burning, ignitions represent the earliest amongst a likely more diverse set.

The AFDs and related fire events are best understood as an intensive sample of total fire activity. Cloud cover or smoke haze invariably limit MODIS AFDs, probably selectively73, such as on peatlands, where smouldering fire may be insufficiently hot for satellite detection or where abundant haze may obscure fire activity despite the high overpass rate of the MODIS sensors. AFD omission rates are low, typically at ~5–8%67,71,74,75, but can be higher, particularly when burning is small scale and the land cover is mixed69,76,77. Also, the ~1 km resolution of our MODIS data, inherent to our fire events (Fig. 4), may conflate the AFDs of proximate but distinct burning within a single fire event. Such considerations mean that fire events, their ignitions, and their durations as defined here are ultimately approximations. These issues are unlikely to cause significant bias here, however, given our focus on severe, relatively large, and so relatively well-captured fire events71,74. The use of finer-grain VIIIRS AFD data78 would address the issue of conflation, but not of cloud/haze, and would preclude observation before 2012 of interest here. The use of MODIS MCD64a1 burned area (BA) data79, which are theoretically less affected by cloud cover, would still result in greater omission rates overall6,80 due to their lesser sensitivity, albeit probably amongst smaller-scale burning18,81. The online supplement provides validations of our fire events, including comparisons against burned areas (Supplementary Note 4) and a comparison of our fire-event severity measure to one based on MODIS BA data (Supplementary Note 5).

### Fire-event severity

We described the severity of a fire event by incorporating the spatial, thermal, and temporal characteristics of its AFDs:

$${{{{{\rm{Fire}}}}}}{\mbox{-}}{{{{{\rm{Event}}}}}}\,{{{{{{\rm{Severity}}}}}}}_{{i}}=\sum {{{{{\rm{FRP}}}}}}\,{{{{{\rm{of}}}}}}\,{{{{{\rm{AFDs}}}}}}\,{{{{{\rm{of}}}}}}\,{{{{{\rm{Fire}}}}}}\,{{{{{{\rm{Event}}}}}}}_{{{{{i}}}}}\times {{{{{\rm{Duration}}}}}}\,{{{{{\rm{of}}}}}}\,{{{{{\rm{Fire}}}}}}\,{{{{{{\rm{Event}}}}}}}_{{i}}$$
(1)

where, for the ith fire event, ∑FRP describes fire-event scale as the total FRP of all constituent AFDs, in Megawatts, and Duration is the number of days between the earliest (ignition) and latest AFD of the fire event (minimum = 1 day). Severity scores are thus high for fire events with relatively many AFDs, denoting greater fire magnitude and intensity82; higher where burning is also relatively energetic, denoting even greater intensity, as due to greater biomass consumption46; and higher still where fire activity is also relatively persistent, as it tends to be during drought conditions45. Fire-event scale and duration in Eq. (1) are correlated significantly but moderately (r = 0.27, p < 0.01), such that their interaction integrates complementary attributes of fire activity. The sum of severity scores across all fire events of a given period is referred to as the total severity for that period.

Various factors recommend describing fire-activity severity as per Eq. (1) based on MODIS AFD-derived fire events (Supplementary Note 5). Compared to an analogous fire-event severity index defined for Global Fire Atlas fire events83,84 based on MODIS MCD64a1 500-m BA data79 (Eqn. S2), being the only alternative fire-event data for our region and most like it, Eq. (1) represents the scale of large, intense fire events more comprehensively while capturing relatively greater extremes of fire activity amongst individual events. Significant differences in the extremes of fire-event severity frequency distributions between our study and the analogous severity index for the Global Fire Atlas support this view (Supplementary Fig. 9, Supplementary Note 5).

The severity of seasonal fire activity is given as the degree to which a frequency distribution of fire-event severity scores (Eq. 1) for a given season is skewed by extreme values:

$${{{{{\rm{Fire}}}}}}{\mbox{-}}{{{{{\rm{Event}}}}}}\,{{{{{\rm{Severity}}}}}}\,{{{{{\rm{Skewness}}}}}}_{t}={N}_{t}\sum {({X}_{it}-{\overline{X}}_{t})}^{3}/{S}_{t}^{3}({N}_{t}-1)({N}_{t}-2)$$
(2)

where, for the tth bi-annual season (January–June, July–December) in our time series, Nt is the number of all fire events, Xit is the severity of the ith fire event as per Eq. (1),$$\,{\bar{X}}_{t}$$ is the sample mean for season t, and St is the sample standard deviation for season t. Equation (2) is highly correlated with the total magnitude of seasonal fire-event severity (Supplementary Fig. 2), given as the sum of deviations of all seasonal fire-event severity scores relative to the mean score for 2002–2019. Equation (2) does however more aptly capture seasonal variations to fire-activity extremeness and extensiveness (Supplementary Note 1).

### Trends in fire-activity severity

Precipitation is the primary factor affecting fire activity in Equatorial Asia at regional and inter-annual scales2,15,37,85, accounting for up to 80% of Indonesian fire risk, AFD frequency, and fire-related carbon emissions at monthly-to-annual intervals17,85,86,87. A highly non-linear relationship between precipitation and fire activity45 underlies a profound inter-annual variability characterising Indonesian burning29,37. This variability frustrates the confident determination of trends to absolute fire activity, except perhaps over very long observation periods (e.g., >30 years) beyond the scope of all but very course historical AVHRR satellite fire data2. We therefore control for the effects of precipitation to describe trends to fire activity attributable to human activity, as described below. Ultimately, we describe an attenuation of certain measures of severe fire activity, that is, their decline over 2002–2019 for a given level of precipitation, which we attribute to changing human activities such as land management. This approach follows from other studies that similarly observe and attribute shifting relationships between Indonesian burning and precipitation17,42. It is a confident assumption that attenuation reflects neither an increasing trend to precipitation nor shifts to the bioclimatic nexus of drought and burning, e.g., the degree to which burning concentrates in droughts. There is no clear evidence for either possibility (Fig. 1d)37,44 and our modelling would be robust to them.

We modelled changes to fire-activity extremes over 2002–2019 in terms of changing annual rates of severe fire events (Fig. 1) as well as changing severity of seasonal fire activity (Fig. 3). The annual rates of severe and very severe fire events are given respectively as the proportions of fire events per annum that are ≥75th or ≥90th the national fire-event severity-score percentile of 2002–2019 (≥60.4 and ≥216). For Indonesia (excluding Java and the Lesser Sunda Islands), two key fire-affected regions (Central-South Sumatra, Southern Kalimantan; Fig. 2e), and predominantly agricultural areas recently targeted for fire suppression (Targeted Areas, Supplementary Fig. 1), we regressed annual rates of severe fire events on total fire-season precipitation (July–December) per annum and time elapsed since 2002 (Fig. 1). For Indonesia and the same regions, we similarly regressed the severity of seasonal fire activity (Eq. 2) on total seasonal precipitation (January–June, July–December) and the number of seasonal intervals elapsed since July 2002 (Fig. 3). The consideration of bi-annual seasons separately in the latter set of regressions recognises the occasionally elevated severity of seasonal fire activity outside the usual fire season, as in 2005 and 2014 (Supplementary Fig. 2a). The bi-annual intervals concord with the seasonality of Indonesian fire activity17,70 as well as intervals over which precipitation and burning strongly correlate2,15,85. A significant negative effect of the temporal variables in the two sets of regressions above indicates a declining rate of severe or very severe fire events or a declining severity of seasonal fire activity over 2002–2019, respectively, controlling for precipitation. Precipitation was observed according to NASA’s IMERG v06B data product88, which estimates monthly precipitation at 0.1˚ resolution via half-hourly satellite microwave observations calibrated daily with rain gauges. IMERG data are the successor to coarser-resolution TRMM Multi-Satellite Precipitation Analysis (TMPA) data89 used in earlier regional fire modelling37,45 and are highly correlated with the recently developed CHIRPS satellite-derived precipitation data90. A comparison of IMERG and CHIRPS data against gridded rain-gauge data across 2001–2019 for Taiwan indicated slightly greater accuracy on the part of IMERG data, including relatively stable monthly and seasonal measures91. Compared to TMPA data, IMERG data generally better approximate rain-gauge data and more accurately capture temporal variations to precipitation92,93,94,95. An occasional over-estimation of total precipitation by IMERG in select, often wetter conditions92,96,97 was also common and generally more acute for TMPA data98, not observed for Taiwan 2001–201991, and unlikely to bias our observations given their focus on drought.

All regression models were bootstrapped 1000 times to generate reliable significance estimates robust to data distributions99, as per Field et al.85. The 1000 bootstrapped samples also collectively approximated a time series that could be expected if our 2002–2019 time series were shifted slightly earlier or later in time or otherwise lengthened, as by varying the number, timing, and magnitude of droughts observed during 2002–2019. In this way, we avoid reporting spurious trends attributable to the particular timing of drought and severe burning during 2002–2019. Since certain years host fire activity disproportionately due to drought (Fig. 1), a set models for severe fire-event rates were also weighted according to national annual AFD frequencies. Models of the severity of seasonal fire activity were unweighted because weights exacerbated heteroskedasticity and posed a conceptual redundancy, given strong correlations between AFD frequency and seasonal severity-score skewness (r = 0.76–0.86 depending on region, p < 0.001), attenuating significance. The two fire-affected regions are epicentres of Indonesian fire activity and consistent with similar studies of Indonesian fire trends42,85. These regions encompass most peatlands, described by Miettinen et al.36, as well as most Targeted Areas, described by Sloan et al.17. A fire event is deemed as occurring in a given region and seasonal or annual interval where at least one of its AFDs and its ignition AFDs occurred therein, respectively.

### Land use/cover shifts and fire-activity severity

Declines in extreme fire activity are conceptually underpinned by changing land management and should vary according to land-use/cover management intensities1. To clarify the role of land management, we regressed land uses/cover relative frequencies amongst fire-event AFDs or ignition AFDs against time elapsed over 2002–2019, with land uses/covers varying by management intensity (Table 1) and fire events varying by severity (Table 2). Regressions were fitted for four sets of fire activity: (a) AFDs of severe fire events, (b) ignition AFDs of severe fire events, (c) AFDs of all fire events, and (d) ignition AFDs of all fire events, as per Table 2 panels a–d. Significant negative/positive trends indicate a decreasing/increasing prevalence of a land use/cover amongst the fire events or ignitions of a given set.

We determined the land uses/covers of AFDs annually over 2002–2019 based on AFDs’ spatial overlap with the annual 300-m Copernicus Climate Change Initiative Land-Cover Product100,101 (Table 1, Fig. 4). These Copernicus data provide relatively stable, accurate, annual land-use/cover classifications102 and, crucially, greater differentiation between and amongst land uses and degraded land covers (Supplementary Table 6) compared to other land-cover data used to explore Equatorial Asian burning27,36,69,103. In particular, our data observe three agricultural classes along a spectrum of management intensity (Table 1). Verification of these classes against land use visually interpreted using high-resolution imagery across 8 Mha of the fire-affected regions affirm the classes’ nominal management intensities (Supplementary Note 3). Annual land-use/cover observations account for all land-use/cover transitions over 2002–2019. We do not however focus on the particular role of transitions in shifting severe fire activity, nor on the degree to which a shift in land-use/cover class prevalence amongst fire events or ignitions reflects class expansion or contraction. The influence of transitions and class expansion/contraction is considered secondary to negligible over our observation period, relative to the influence of generalised trends in the use and management of a land use/cover class overall, considering the conservative change-detection algorithm of the Copernicus data and the relatively very small area of expansion/contraction relative to total class extent.

For Indonesia and each of its regions, severe fire events for fire-activity sets (a) and (b) in Table 2 were defined respectively as the top 25% of AFDs and ignition AFDs with respect to the severity scores of corresponding fire events of 2002–2019 (Supplementary Note 2). This definition reflected our use of the 75th fire-event severity percentile threshold above (Fig. 1) while recognising AFDs as units of analysis here.

Models were bootstrapped and weighted as above. Complementing bootstrapping, we tested models for sensitivity to widespread burning late in our time series by experimentally omitting all observations for 2019 or 2015. Models for the two resultant partial time series were largely consistent with those for the full time series in Table 2 (Supplementary Note 2), affirming the progressive and robust nature of the observed land-use/cover shifts underlying fire abatement.