2.25. Fire
The fire parameterization in CLM contains four components: non-peat fires outside cropland and tropical closed forests, agricultural fires in cropland, deforestation fires in the tropical closed forests, and peat fires (see Li et al. 2012a, Li et al. 2012b, Li et al. 2013, Li and Lawrence 2017, Li et al. 2024b for details). In this fire parameterization, burned area is affected by climate and weather conditions, vegetation composition and structure, and human activities. After burned area is calculated, we estimate the fire impact, including biomass and peat burning, fire-induced vegetation mortality, adjustment of the carbon and nitrogen (C/N) pools, and fire emissions.
2.25.1. Non-peat fires outside cropland and tropical closed forest
Burned area in a grid cell, \(A_{b}\) (km2 s -1), is determined by
where \(N_{f}\) (count s-1) is fire counts in the grid cell; \(a\) (km2) is average fire spread area of a fire.
2.25.1.1. Fire counts
Fire counts \(N_{f}\) is taken as
where \(N_{i}\) ( count s-1) is the number of ignition sources due to natural causes and human activities; \(f_{b}\) and \(f_{m}\) (fractions) represent the availability and combustibility of fuel, respectively; \(f_{se,o}\) is the fraction of anthropogenic and natural fires unsuppressed by humans and related to the socioeconomic conditions; \(f_{topo}\) represents the influence of topography on fires.
\(N_{i}\) (count s-1) is given as
where \(I_{n}\) (count km-2 s-1) and \(I_{a}\) (count km-2 s-1) are the number of natural and anthropogenic ignitions per km2, respectively; \(A_{g}\) is the area of the grid cell (km2). \(I_{n}\) is estimated by
where \(\gamma\) =0.22 is ignition efficiency of cloud-to-ground lightning; \(\psi =\frac{1}{5.16+2.16\cos [3min(60,\lambda )]}\) is the cloud-to-ground lightning fraction and depends on the latitude \(\lambda\) (degrees); \(I_{l}\) (flash km-2 s-1) is the total lightning flashes. \(I_{a}\) is modeled as a monotonic increasing function of population density:
where \(\alpha =0.01\) (count person-1 mon-1) is the number of potential ignition sources by a person per month; \(D_{P}\) (person km-2) is the population density; \(k(D_{P} )=6.8D_{P} ^{-0.6}\) represents anthropogenic ignition potential as a function of human population density \(D_{P}\); n is the seconds in a month.
Fuel availability \(f_{b}\) is given as
where \(B_{ag}\) (g C m-2) is the biomass of combined leaf, stem, litter, and woody debris pools; \(B_{low}\) = 75 g C m -2 is the lower fuel threshold below which fire does not occur; \(B_{up}\) = 825 g C m-2 is the upper fuel threshold above which fire occurrence is not limited by fuel availability.
Fuel combustibility \(f_{m}\) is estimated by
where \(f_{RH}\) and \(f_{\beta }\) represent the dependence of fuel combustibility on relative humidity \(RH\) (%) and root-zone soil wetness \(\beta\) (fraction); \(T_{17cm}\) is the temperature of the top 17 cm of soil (K) and \(T_{f}\) is the freezing temperature. \(f_{RH}\) is a weighted average of real time \(RH\) (\(RH_{0}\)) and 30-day running mean \(RH\) (\(RH_{30d}\)):
where weight \(w=\max [0,\min (1,\frac{B_{ag}-2500}{2500})]\), \(l_{{RH}_{0}}=1-\max [0,\min (1,\frac{RH_{0}-30}{85-30})]\), and \(l_{{RH}_{30d}}=1-\max [0.6,\min (1,\frac{RH_{30d}}{95})]\). \(f_{\beta}\) is given by
where \(\beta _{low}\) and \(\beta _{up}\) are the PFT-dependent lower and upper thresholds (Table 2.25.1).
For scarcely populated regions (\(D_{p} \le 0.1\) person km -2), we assume that anthropogenic suppression on fire occurrence is negligible, i.e., \(f_{se,o} =1.0\). In regions of \(D_{p} >0.1\) person km-2, we parameterize the fraction of anthropogenic and natural fires unsuppressed by human activities as
where \({f}_{d}\) and \({f}_{e}\) are the effects of the demographic and economic conditions on fire occurrence. The demographic influence on fire occurrence is
For shrub and grass PFTs, the economic influence on fire occurrence is parameterized as a function of Gross Domestic Product GDP (k 1995US$ capita-1):
which captures 73% of the observed MODIS fire counts with variable GDP in regions where shrub and grass PFTs are dominant (fractional coverage of shrub and grass PFTs \(>\) 50%). In regions outside tropical closed forests and dominated by trees (fractional coverage of tree PFTs \(>\) 50%), we use
to reproduce the relationship between MODIS fire counts and GDP.
The influence of topography on fires:
This indicates reduced burnability above 2500 m. It can be removed if CLM accounts in the future for the intense light exposure of Arctic C3 grasses on plateaus, leading to greater carbon allocation to fine roots than to leaves and to reduced infiltration.
2.25.1.2. Average spread area of a fire
Average burned area of a fire is assumed elliptical in shape with the wind direction along the major axis and the point of ignition at one of the foci. According to the area formula for an ellipse, average burned area of a fire can be represented as:
where \(u_{p}\) (m s-1) is the fire spread rate in the downwind direction; \(\tau\) (s) is average fire duration; \(L_{B}\) and \(H_{B}\) are length-to-breadth ratio and head-to-back ratio of the ellipse; 10 -6 converts m 2 to km 2.
According to Arora and Boer (2005),
where \(W\)(m s-1) is the wind speed. According to the mathematical properties of the ellipse, the head-to-back ratio \(H_{B}\) is
The fire spread rate in the downwind direction is represented as
(Arora and Boer, 2005), where \(u_{\max }\) (m s-1) is the PFT-dependent average maximum fire spread rate in natural vegetation regions (Table 2.25.1); \(C_{m} =\sqrt{f_{m}}\) and \(g(W)\) represent the dependence of \(u_{p}\) on fuel wetness and wind speed \(W\), respectively. \(g(W)\) is derived from the mathematical properties of the ellipse and equation (2.25.16) and (2.25.17)
Since g(W)=1.0, and \(L_{B}\) and \(H_{B}\) are at their maxima \(L_{B} ^{\max } =11.0\) and \(H_{B} ^{\max } =482.0\) when \(W\to \infty\), g(0) can be derived as
Fire duration is affected by fire fighting capacity which depends on socioeconomic condition and by the natural vegetation fuel continuity:
where \(\tau*\) represents the fire duration under conditions without anthropogenic suppression and landscape fragmentation, setting to 5 days for all natural vegetation PFTs; \(F_{se}\) is the socioeconomic effect on fire spread area; \(F_{c}\) is the fuel continuity factor.
As with the socioeconomic influence on fire occurrence, we assume that the socioeconomic influence on fire duration is negligible in regions of \(D_{p} \le 0.1\) person km-2, i.e., \(F_{se} = 1.0\). In regions of \(D_{p} >0.1\) person km-2, we parameterize such socioeconomic influence as:
where \({F}_{d}\) and \({F}_{e}\) are effects of the demographic and economic conditions. For shrub and grass PFTs, the demographic impact factor is
and the economic impact factor is
For tree PFTs outside tropical closed forests, the demographic and economic impact factors are given as
and
Equations (2.25.23) - (2.25.26) reflect that more developed and more densely populated regions have a higher fire fighting capability.
The continuity factor is the fractional coverage (0 to 1) of natural vegetation (not including bare soil) in the grid cell (\(f_{natveg}\))
where \(f_{urban}\), \(f_{lake}\), \(f_{cropland}\), and \(f_{baresoil}\) are factional coverage of urban, lake, cropland, and bare soil.
2.25.1.3. Fire impact
In post-fire regions, we calculate PFT-level fire carbon emissions from biomass burning of the \(j\)th PFT, \({\phi}_{j}\) (g C s-1), as
where \(A_{b,j}\) (km2 s-1) is burned area for the \(j\)th PFT; Cj =(\(C_{leaf}\), \(C_{stem}\), \(C_{root}\), \(C_{ts}\)) is a vector with carbon density (g C km -2) for leaf, stem (live and dead stem), root (fine, live coarse and dead coarse root), and transfer and storage carbon pools as elements; \(\mathbf{CC}_{j}\) = (\(\mathbf{CC}_{leaf}\), \(\mathbf{CC}_{stem}\), \(\mathbf{CC}_{root}\), \(\mathbf{CC}_{ts}\)) is the corresponding combustion completeness factor vector (Table 2.25.1). Moreover, we assume that 50% and 28% of column-level litter and coarse woody debris are burned and the corresponding carbon is transferred to atmosphere.
Tissue mortality due to fire leads to carbon transfers in two ways. First, carbon from uncombusted leaf, live stem, dead stem, root, and transfer and storage pools \(\mathbf{C^{'} _{j1}} ={(C_{{leaf}} (1-CC_{{leaf}} ),C_{{livestem}} (1-CC_{{stem}} ),C_{{deadstem}} (1-CC_{{stem}} ),C_{{root}} (1-CC_{{root}} ),C_{{ts}} (1-CC_{{ts}} ))}_{j}\) (g C km-2) is transferred to litter as
where \(M_{j1} =(M_{{leaf}},M_{{livestem,1}},M_{{deadstem}},M_{{root}},M_{{ts}} )_{j}\) is the corresponding mortality factor vector (Table 2.25.1). Second, carbon from uncombusted live stems is transferred to dead stems as:
where \(M_{livestem,2}\) is the corresponding mortality factor (Table 2.25.1).
Fire nitrogen emissions and nitrogen transfers due to fire-induced mortality are calculated the same way as for carbon, using the same values for combustion completeness and mortality factors. With CLM's dynamic vegetation option enabled, the number of tree PFT individuals killed by fire per km2 (individual km-2 s-1) is given by
where \(P_{j}\) (individual km-2) is the population density for the \(j\) th tree PFT and \(\xi _{j}\) is the whole-plant mortality factor (Table 2.25.1).
2.25.2. Agricultural fires
The burned area of cropland (km2 s-1) is taken as \({A}_{b}\):
where \(a_{1}\) (s-1) is a constant; \(f_{se}\) represents the socioeconomic effect on fires; \(f_{t}\) determines the seasonality of agricultural fires; \(f_{crop}\) is the fractional coverage of cropland. \(a_{1}\) = 0.34 hr-1is estimated using an inverse method, by matching simulated global agricultural burned area to the GFED5 (Chen et al. 2023) cropland burned area of 82 Mha yr-1 for 2002−2020.
The socioeconomic factor \(f_{se}\) is given as follows:
Here
and
are the effects of population density and GDP on burned area, derived in a similar way to equation (2.25.34) and (2.25.35). \(f_{t}\) is set to 1 at the first time step of the climatological peak month for GFED5 agricultural burned area and during the post-harvest and pre-planting period.
In the post-fire region, fire impact is parameterized similar to section 2.25.1.3 but with combustion completeness factors and tissue mortality factors for crop PFTs (Table 2.25.1).
2.25.3. Deforestation fires
CLM focuses on deforestation fires in tropical closed forests. Tropical closed forests are defined as grid cells with tropical tree (BET and BDT tropical) coverage \(>\) 60% according to the FAO classification. Deforestation fires are defined as fires caused by deforestation, including escaped deforestation fires, termed degradation fires. Deforestation and degradation fires are assumed to occur outside of cropland areas in these grid cells. Burned area is controlled by the deforestation rate and climate:
where \(b\) (s-1) is a global constant; \(f_{lu}\) (fraction) represents the effect of decreasing fractional coverage of tree PFTs derived from land use data; \(f_{cli,d}\) (fraction) represents the effect of climate conditions on the burned area.
Constants \(b\) and \({f}_{lu}\) are calibrated based on observations and reanalysis datasets in the Amazon rainforest (tropical closed forests within 15.5 °S \(\text{-}\) 10.5 °N, 30.5 ° W \(\text{-}\) 91 ° W). \(b\) = 0.03 d-1 and \(f_{lu}\) is defined as
where \(D\) (yr-1) is the annual loss of tree cover based on CLM land use and land cover change data.
The effect of climate on deforestation fires is parameterized as:
where \(P\) (mm d -1) is instantaneous precipitation, while \(P_{30d}\) (mm d-1) is 30-day running means of precipitation; \(b_{1}\) is grid-cell dependent thresholds of \(P_{30d}\); 0.25 mm d -1 is the maximum precipitation rate for drizzle. \(b_{1}\) is the average of thresholds of BET Tropical (0.5 mm d -1) and BDT Tropical ( 3.0 mm d -1) by their fractional coverage, where thresholds are derived based on GFED5 burned area and dry-season CRUJRA climatological precipitation for BET to BDT dominant regions in the Amazon rainforests.
The post-fire area due to deforestation is not limited to land-type conversion regions. In the tree-reduced region, the maximum fire carbon emissions are assumed to be 80% of the total conversion flux. According to the fraction of conversion flux for tropical trees in the tree-reduced region (60%) assigned by CLM4-CN, to reach the maximum fire carbon emissions in a conversion region requires burning this region about twice when we set PFT-dependent combustion completeness factors to about 0.3 for stem [the mean of 0.2\({-}\)0.4 used in van der Werf et al. (2010). Therefore, when the burned area calculated from equation (2.25.38) is no more than twice the tree-reduced area, we assume no escaped fires outside the land-type conversion region, and the fire-related fraction of the total conversion flux is estimated as \(\frac{A_{b} /A_{g} }{2D}\). Otherwise, 80% of the total conversion flux is assumed to be fire carbon emissions, and the biomass combustion and vegetation mortality outside the tree-reduced regions with an area fraction of \(\frac{A_{b} }{A_{g} } -2D\) are set as in section 2.25.1.3.
2.25.4. Peat fires
The burned area due to peat fires is given as \({A}_{b}\):
where \(c\) (s-1) is a constant; \(f_{cli,p}\) represents the effect of climate on the burned area; and \(f_{peat}\) is the fractional coverage of peatland in the grid cell. \(c\) = 0.75 \(\times\) 10 -4 hr-1 for tropical peat fires and \(c\) = 0.58 \(\times\) 10 -4 hr -1 for boreal peat fires are derived using an inverse method, by matching simulations to earlier studies: about 0.5 Mha yr -1 for Indonesia tropical peat fires based on GFED5 for 2002–2014 (Chen et al., 2023) and the average burned area of peat fires in Western Canada was 0.2 Mha yr -1 for 1980-1999 (Turetsky et al. 2004).
For tropical peat fires, \(f_{cli,p}\) is set as a function of long-term precipitation \(P_{30d}\) :
For boreal peat fires, \(f_{cli,p}\) is set to
where \(\theta _{17cm}\) is the wetness of the top 17 cm of soil.
Peat fires lead to peat burning and the combustion and mortality of vegetation over peatlands. For tropical peat fires, based on Page et al. (2002), about 6% of the peat carbon loss from stored carbon is caused by 33.9% of the peatland burned. Carbon emissions due to peat burning (g C m-2 s-1) are therefore set as the product of 6%/33.9%, burned area fraction of peat fire (s-1), and soil organic carbon (g C m-2). For boreal peat fires, the carbon emissions due to peat burning are set as 2.2 kg C m-2 peat fire area (Turetsky et al. 2002). Biomass combustion and vegetation mortality in post-fire peatlands are set the same as section 2.25.1.3 for non-crop PFTs and as section 2.25.2 for crops PFTs.
2.25.5. Fire trace gas and aerosol emissions
CESM2 is the first Earth system model that can model the full coupling among fire, fire emissions, land, and atmosphere. CLM5, as the land component of CESM2, calculates the surface trace gas and aerosol emissions due to fire and fire emission heights, as the inputs of atmospheric chemistry model and aerosol model.
Emissions for trace gas and aerosol species x and the j-th PFT, \(E_{x,j}\) (g species s-1), are given by
Here, \(EF_{x,j}\) (g species (g dm)-1) is PFT-dependent emission factor scaled from biome-level values (Li et al. 2019; Li et al. 2024b) \([C]\) = 0.5 (g C (g dm)-1) is a conversion factor from dry matter to carbon.
Emission height is PFT-dependent: 4.3 km for needleleaf tree PFTs, 3 km for other boreal and temperate tree PFTs, 2.5 km for tropical tree PFTs, 2 km for shrub PFTs, and 1 km for grass and crop PFTs. These values are compiled from earlier studies by Dr. Val Martin.
PFT |
CCleaf |
CCstem |
CCroot |
CCts |
Mleaf |
Mlivestem,1 |
Mdeadstem |
Mroot |
Mts |
Mlivestem,2 |
\(\xi\)j |
\(u\)max |
\(\beta\)low |
\(\beta\)up |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
NET Temperate |
0.80 |
0.30 |
0.00 |
0.50 |
0.80 |
0.15 |
0.15 |
0.15 |
0.50 |
0.35 |
0.15 |
0.020 |
0.25 |
0.55 |
NET Boreal |
0.80 |
0.30 |
0.00 |
0.50 |
0.80 |
0.15 |
0.15 |
0.15 |
0.50 |
0.35 |
0.15 |
0.023 |
0.35 |
0.7 |
NDT Boreal |
0.80 |
0.30 |
0.00 |
0.50 |
0.80 |
0.15 |
0.15 |
0.15 |
0.50 |
0.35 |
0.15 |
0.023 |
0.35 |
0.7 |
BET Tropical |
0.80 |
0.27 |
0.00 |
0.45 |
0.80 |
0.13 |
0.13 |
0.13 |
0.45 |
0.32 |
0.13 |
0.053 |
0.35 |
0.75 |
BET Temperate |
0.80 |
0.27 |
0.00 |
0.45 |
0.80 |
0.13 |
0.13 |
0.13 |
0.45 |
0.32 |
0.13 |
0.020 |
0.3 |
0.7 |
BDT Tropical |
0.80 |
0.27 |
0.00 |
0.45 |
0.80 |
0.10 |
0.10 |
0.10 |
0.35 |
0.25 |
0.10 |
0.033 |
0.3 |
0.7 |
BDT Temperate |
0.80 |
0.27 |
0.00 |
0.45 |
0.80 |
0.13 |
0.13 |
0.13 |
0.45 |
0.32 |
0.13 |
0.020 |
0.3 |
0.7 |
BDT Boreal |
0.80 |
0.27 |
0.00 |
0.45 |
0.80 |
0.13 |
0.13 |
0.13 |
0.45 |
0.32 |
0.13 |
0.020 |
0.3 |
0.7 |
BES Temperate |
0.80 |
0.35 |
0.00 |
0.55 |
0.80 |
0.17 |
0.17 |
0.17 |
0.55 |
0.38 |
0.17 |
0.020 |
0.3 |
0.55 |
BDS Temperate |
0.80 |
0.35 |
0.00 |
0.55 |
0.80 |
0.17 |
0.17 |
0.17 |
0.55 |
0.38 |
0.17 |
0.020 |
0.3 |
0.55 |
BDS Boreal |
0.80 |
0.35 |
0.00 |
0.55 |
0.80 |
0.17 |
0.17 |
0.17 |
0.55 |
0.38 |
0.17 |
0.023 |
0.35 |
0.7 |
C3 Grass Arctic |
0.80 |
0.80 |
0.00 |
0.80 |
0.80 |
0.20 |
0.20 |
0.20 |
0.80 |
0.60 |
0.20 |
0.023 |
0.35 |
0.7 |
C3 Grass |
0.80 |
0.80 |
0.00 |
0.80 |
0.80 |
0.20 |
0.20 |
0.20 |
0.80 |
0.60 |
0.20 |
0.048 |
0.3 |
0.7 |
C4 Grass |
0.80 |
0.80 |
0.00 |
0.80 |
0.80 |
0.20 |
0.20 |
0.20 |
0.80 |
0.60 |
0.20 |
0.062 |
0.4 |
0.7 |
Combustion completeness factors for leaf (\(CC_{leaf}\) ), stem (\(CC_{stem}\) ), root (\(CC_{root}\) ), and transfer and storage carbon (\(CC_{ts}\) ); mortality factors for leaf (\(M_{leaf}\) ), live stem (\(M_{livestem,1}\) ), dead stem (\(M_{deadstem}\) ), root (\(M_{root}\) ), and transfer and storage carbon (\(M_{ts}\) ) related to the carbon transfers from these pools to the litter pool; mortality factor for live stem (\(M_{livestem,2}\) ) related to the carbon transfer from the live stem pool to the dead stem pool; whole-plant mortality factor (\(\xi _{j}\) ); maximum fire spread rate (\(u_{max}\)); lower and upper thresholds for root-zone soil wetness (\(\beta _{low}\) and \(\beta _{up}\)).