2.3.1. Soil organic carbon storage
Soil samples were obtained at 0-10, 10-20, 20-30, and 30-50 cm depths from each plot near harvesting of each crop (wheat, maize, and soybean) in June and October from 2018 to 2020. After air-drying, soil samples were gently grinded and passed through a 2-mm sieve. The concentration of SOC was determined using a K2Cr2O7-H2SO4 oxidation procedure (Bao, 2008). To account for differences in soil bulk density, the SOC storage (Mg ha−1) was calculated on equivalent mass basis by using Eq. (1) and (2) (Ellert and Bettany, 1995). The SOC sequestration rate (kg CO2-eq ha−1 yr−1) was determined by using Eq. (3).
$$~{M_{soil,i}}=B{D_i} \times {{\rm T}_i} \times 1000$$
1
$$SOC storage=\sum\nolimits_{{i=1}}^{n} {\left[ {{M_{soil,i}} \times con{c_i}+({M_{o,i}} - {M_{soil,i}}) \times con{c_{i+1}}} \right]} \times 0.001$$
2
$$SOC sequestration rate=\frac{{SS2020 - SS2015}}{4} \times \frac{{44}}{{12}}$$
3
where, \({M_{soil,i}}\) is the soil mass per unit area in the \(i\)th layer (Mg ha−1). \(B{D_i}\) is the bulk density of the \(i\)th layer (g cm−3),\({T}_{i}\)is the thickness of the \(i\)th layer (m). \(con{c_i}\)is the concentration of SOC in ith layer. \(con{c_{i+1}}\) is the concentration of SOC in i+1th layer. \({M_{o,i}}\) is the designated equivalent mass of each layer (i.e., the maximum soil mass), i is the soil depth interval,a, d i = 1, 2, 3 and 4 for 0-10, 10-20, 20-30 cm, and 30-50 cm layer, respectively. The number of 1000 and 0.001 are unit conversion coefficients. SS2015 and SS2020 are the SOC storage at the beginning of the experiment and the SOC storage at the harvest of winter wheat in 2020, respectively, and 4 represents the duration of the experiment. The 44/12 is the coefficient that converts C to CO2.
2.3.2. Crop residues and carbon inputs from crop resides
Crops grain yield were measured in a quadrant of 2 m2 for winter wheat and summer soybean in each plot, and double rows of 10 m for summer maize in each plot. The amount of crop residue was calculated as the ratios of grain: straw and root: straw (Zhao et al., 2018).
The C input included aboveground residues and belowground roots. The C input of the aboveground residues was calculated by using Eq. (4), and that of the belowground C input by Eq. (5) (Zhao et al., 2018).
$${C_a}=GY \times \frac{{1 - WC}}{{GS{\text{ }}ratio}} \times 0.45$$
4
$${C_b}=GY \times \frac{{1 - WC}}{{GS{\text{ }}ratio}} \times RS{\text{ }}ratio \times 0.45$$
5
where, \(GY\) represents the grain yield of each season. \(WC\) represents the water content of the grain, which is 0.125, 0.135, and 0.103 for wheat, maize, and soybean, respectively. \(GS ratio\)represents grain: straw, and wheat, maize, and soybean are 0.846, 0.955, and 0.524, respectively. \(RS ratio\) represents root: straw, and wheat, maize, and soybean are 0.2, 0.28, and 0.196, respectively. The conversion coefficient for crop biomass to C content is 0.45 (Fang et al., 2007).
2.3.4. Carbon footprints
International Organization for Standardization (ISO) has defined the CF as the sum of GHGs directly and indirectly produced by crops during a single life cycle and can be expressed in carbon dioxide equivalents (CO2-eq) (ISO, 2013). CF consisted mainly of off-farm input production and on-farm application. The system boundary was from sowing (including seedbed preparation) to the harvesting of crops. The involved inputs, practices, or inventories are shown in Fig. 2.
The N content in aboveground crop residues was calculated with Eq. (7). N2O emission in this study was calculated by using inputs of N fertilizer, crop residues, and emission factors. Therefore, the direct N2O emission was calculated by using Eq. (8), and indirect N2O emission by Eq. (9). The total emission of N2O was calculated by Eq. (10).
$${F_S}=({C_{si}}+{C_{ri}}) \times {N_{C\left( i \right)}}$$
7
$${N_2}{O_{DE}}=({F_S}+{F_N}) \times {\sigma _1} \times \frac{{44}}{{28}}$$
8
$${N_2}{O_{IE}}=\left[ {{F_N} \times FRA{C_{GASF}} \times {\sigma _2}+\left( {{F_S}+{F_N}} \right) \times FRA{C_{LEACH}} \times {\sigma _3}} \right] \times \frac{{44}}{{28}}$$
9
$$GH{G_{{N_2}O}}=\left( {{N_2}{O_{DE}}+{N_2}{O_{IE}}} \right) \times 298$$
10
where, \({F_S}\)and \({F_N}\) are the N content of aboveground crop residues and N fertilizer application. \({N_{C\left( i \right)}}\) is the N content of different crops. \(\sigma\)1, \(\sigma\)2, and \(\sigma\)3 are the emission coefficients of N inputs, volatilization of N fertilizer, and N leaching, respectively. \(FRA{C_{GASF}}\) represents the fraction of N fertilizer volatilized (NH3 and NOX-N). \(FRA{C_{LEACH}}\) represents the fraction of N leaching. The value of 44/28 and 298 are the coefficients of N2 to N2O and N2O to CO2-eq, respectively (Table 1).
Table 1
GHGs emissions coefficients for different agricultural material inputs.
Item
|
Abbreviation
|
Emission factor
|
Unit
|
Source
|
Tillage
|
EFT
|
3.37
|
kg CO2-eq kg−1
|
Zhang et al. (2013)
|
Harvest
|
EFH
|
3.37
|
kg CO2-eq kg−1
|
Zhang et al. (2013)
|
Nitrogenous fertilizer
|
EFN
|
3.44
|
kg CO2-eq kg−1
|
Chen et al. (2015)
|
Phosphatic fertilizer
|
EFP
|
0.4
|
kg CO2-eq kg−1
|
Chen et al. (2015)
|
Potassic fertilizer
|
EFK
|
0.3
|
kg CO2-eq kg−1
|
Chen et al. (2015)
|
Herbicides
|
EF2H
|
18
|
kg CO2-eq kg−1
|
Yang et al. (2014)
|
Irrigation consumptions
|
EFI
|
1.12
|
CO2-eq·kW·h−1
|
Zhang et al. (2013)
|
N fertilizer volatilization fraction
|
FRACGASF
|
0.1
|
Kg NH3-N + NOX-N volatilized kg−1 N input
|
IPCC, (2006)
|
N leaching fraction
|
FRACLEACH
|
0.3
|
kg N kg−1 N input
|
IPCC, (2006)
|
Direct N2O emission from N fertilizer on upland crops
|
σ1
|
0.01
|
kg N2O-N kg−1 N input
|
IPCC, (2006)
|
Indirect N2O emission from N fertilizer volatilization
|
σ2
|
0.01
|
kg N2O-N kg−1 NH3-N + NOX-N volatilized
|
IPCC, (2006)
|
Indirect N2O emission from N fertilizer leaching
|
σ3
|
0.0075
|
kg N2O-N kg−1N leaching
|
IPCC, (2006)
|
N content of winter wheat
|
NCW
|
0.0052
|
kg N (kg dry matter)−1
|
NDRC (2011)
|
N content of summer maize
|
NCM
|
0.0058
|
kg N (kg dry matter) −1
|
NDRC (2011)
|
N content of summer soybean
|
NCS
|
0.018
|
kg N (kg dry matter)−1
|
NDRC (2011)
|
Winter wheat seed
|
|
0.58
|
kg CO2-eq kg−1
|
Ecoinvent 2.2
|
Summer maize seed
|
|
1.93
|
kg CO2-eq kg−1
|
Ecoinvent 2.2
|
Summer soybean seed
|
|
0.92
|
kg CO2-eq kg−1
|
West and Marland (2002)
|
CO2 emissions from agricultural inputs (i.e., seeds, chemical fertilizers, herbicides, and diesel fuel produced by farming, harvesting, and irrigation) were calculated by Eq. (11) (Lal, 2004).
$$GW{P_{input}}=\sum\limits_{i}^{n} {A{I_i}} \times E{F_i}$$
11
where, \(AI\) represents the amount of each item of input (Table 2). \(EF\)represents its emission coefficient (Table 1). represents different agricultural inputs.
Table 2
Mean agricultural inputs of different tillage practices and cropping sequences.
Item
|
Treatment
|
|
Seed
(kg ha−1)
|
Tillagea
(kg ha−1)
|
Harvesta
(kg ha−1)
|
Nitrogenous fertilizer
(kg ha−1)
|
Phosphatic fertilizer
(kg ha−1)
|
Potassic fertilizer
(kg ha−1)
|
Herbicidesb
(kg ha−1)
|
Irrigation
Consumptions (kWh ha−1)
|
Winter wheat
|
RT
|
|
300
|
69.125
|
42.5
|
318
|
103.5
|
107
|
0.225
|
675
|
|
NT
|
|
300
|
62
|
42.5
|
318
|
103.5
|
107
|
0.225
|
675
|
Summer maize
|
RT
|
|
60
|
13.5
|
38.5
|
339.75
|
130.435
|
120
|
1.5
|
675
|
|
NT
|
|
60
|
13.5
|
38.5
|
339.75
|
130.435
|
120
|
1.5
|
675
|
Summer soybean
|
RT
|
|
150
|
13.5
|
38.5
|
183.75
|
130.435
|
120
|
0
|
675
|
|
NT
|
|
150
|
13.5
|
38.5
|
183.75
|
130.435
|
120
|
0
|
675
|
The entire
|
RT
|
MWSW
|
405
|
82.625
|
81
|
579.75
|
233.935
|
227
|
0.975
|
1350
|
growing season
|
|
SWMW
|
405
|
82.625
|
81
|
579.75
|
233.935
|
227
|
0.975
|
1350
|
|
|
SW
|
450
|
82.625
|
81
|
501.75
|
233.935
|
227
|
0.225
|
1350
|
|
|
MW
|
360
|
82.625
|
81
|
657.75
|
233.935
|
227
|
1.725
|
1350
|
|
NT
|
MWSW
|
405
|
75.5
|
81
|
579.75
|
233.935
|
227
|
0.975
|
1350
|
|
|
SWMW
|
405
|
75.5
|
81
|
579.75
|
233.935
|
227
|
0.975
|
1350
|
|
|
SW
|
450
|
75.5
|
81
|
501.75
|
233.935
|
227
|
0.225
|
1350
|
|
|
MW
|
360
|
75.5
|
81
|
657.75
|
233.935
|
227
|
1.725
|
1350
|
RT: rotary tillage; NT: no-till. MWSW: maize-wheat-soybean-wheat; SWMW: soybean-wheat-maize-wheat; SW: soybean-wheat; and MW: maize-wheat. |
a Diesel consumption at tillage and harvest was calculated by multiplying the actual amount applied by the diesel density. |
b Herbicide were tribenuron-methyl 10% wettable powder for winter wheat season and Nicosulfuron atrazine oil deflocculant for summer maize season, respectively. |
CF per unit of area (CFA) (kg CO2-eq ha−1 yr−1) was calculated by Eq. (12).
$$C{F_A}=GW{P_{input}}+GH{G_{{N_2}0}}+\Delta {\text{ }}SOC$$
12
where, is the mean annual C change in 0-30 cm soil layer.
To unify the average annual crop yield for crops, the actual yield was converted into EY and MEEY. The CF per kg of EY (CFEY) (kg CO2-eq GJ−1 yr−1) was calculated by Eq. (13) and (14).
$${E_Y}=({Y_g} \times {E_g}+{Y_s} \times {E_s})/1{0^3}$$
13
$$C{F_{EY}}=\frac{{C{F_A}}}{{EY}}$$
14
where, \({E_Y}\) (GJ ha−1) represents energy yield. \({Y_g}\)and \({Y_s}\) are the yield of grain and straw. \({E_g}\) and \({E_s}\)are the calorific value of yield and straw. The grain calorific values of wheat, maize, and soybean were 16.3, 16.3, and 20.9 MJ kg−1, respectively. The straw calorific values of wheat, maize, and soybean were 14.6, 14.6, and 15.1 MJ kg−1, respectively (Chen, 2002).
The CF per kg of MEEY (CFMEEY, kg CO2-eq kg−1 yr−1) was calculated by Eq. (15) and (16) (Pradhan et al., 2018).
$$MEEY={Y_i} \times \frac{{{P_i}}}{{{P_M}}}$$
15
$$C{F_{MEEY}}=\frac{{C{F_A}}}{{MEEY}}$$
16
where, (kg ha−1) is the yield, ( US $ kg−1) is the price, is wheat and soybean. The local prices of wheat, maize, and soybean are 0.38, 0.3, and 0.88 US $ kg−1, respectively.
The CF per unit of economic revenue (CFE) (kg CO2-eq−1 $−1 yr−1) was calculated by Eq. (17).
$$C{F_E}=\frac{{C{F_A}}}{E}$$
17
where, E is the total revenue (US $ ha−1) (Table 4).
Table 4
Comparison of annual average economic profits ($ value can be rounded up to the whole $ and delete cents).
Treatment
|
Production cost
(US $ ha−1)
|
Yield revenue
(US $ ha−1)
|
Net revenue
(US $ ha−1)
|
input output economic ratio
(US $ ha−1)
|
RT
|
MWSW
|
1485.29
|
4974.95
|
3489.65
|
3.3
|
|
SWMW
|
1367.29
|
4642.20
|
3274.90
|
3.4
|
|
SW
|
1485.29
|
5342.80
|
3857.52
|
3.6
|
|
MW
|
1249.29
|
4680.48
|
3431.18
|
3.7
|
NT
|
MWSW
|
1358.81
|
4486.45
|
3127.64
|
3.3
|
|
SWMW
|
1358.81
|
4083.91
|
2725.10
|
3.0
|
|
SW
|
1524.36
|
4372.78
|
2848.43
|
2.9
|
|
MW
|
1240.83
|
3800.31
|
2559.49
|
3.1
|
RT: rotary tillage; NT: no-till. MWSW: maize-wheat-soybean-wheat; SWMW: soybean-wheat-maize-wheat; SW: soybean-wheat; and MW: maize-wheat. |