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# Land-based climate change mitigation measures can affect agricultural markets and food security

### Subjects

A Publisher Correction to this article was published on 30 March 2022

## Abstract

Earlier studies have noted potential adverse impacts of land-related emissions mitigation strategies on food security, particularly due to food price increases—but without distinguishing these strategies’ individual effects under different conditions. Using six global agroeconomic models, we show the extent to which three factors—non-CO2 emissions reduction, bioenergy production and afforestation—may change food security and agricultural market conditions under 2 °C climate-stabilization scenarios. Results show that afforestation (often simulated in the models by imposing carbon prices on land carbon stocks) could have a large impact on food security relative to non-CO2 emissions policies (generally implemented as emissions taxes). Respectively, these measures put an additional 41.9 million and 26.7 million people at risk of hunger in 2050 compared with the current trend scenario baseline. This highlights the need for better coordination in emissions reduction and agricultural market management policies as well as better representation of land use and associated greenhouse gas emissions in modelling.

## Main

In meeting near- and long-term climate change mitigation goals (for example, the Paris Agreement), the energy sector accounts for the majority of greenhouse gas (GHG) emissions in most nations and is thus the target of most present-day emissions mitigation policies. However, agriculture, forestry and other land use (AFOLU) account for 20–25% of global GHG emissions in 20101 and cannot be ignored in the context of meeting ambitious long-term climate change mitigation targets. Both the magnitude of baseline emissions and the relative lack of available technologies to eliminate these emissions make AFOLU emissions especially important in the context of climate change mitigation. This is in contrast to the energy sector, which can see its emissions become net zero or even net negative if carbon-removal technologies are used2.

The future emissions reduction potential in the AFOLU sector has been characterized in the literature as having relatively large emission reductions available at low cost compared with other sectors3,4,5. However, the emissions reduction potentials are understood to be limited, with full (100%) removal not possible regardless of effort in many cases6. Moreover, Hasegawa et al. highlighted remarkable food security concerns associated with the inclusion of AFOLU in climate change mitigation actions7; they also compared the impacts of climate change and its mitigation on agricultural production and concluded that the latter would be larger7. Although such impacts are understood to be heterogeneous within any population (for example, low-income consumers are less able to withstand agricultural commodity price shocks), regional averages are nevertheless useful for comparing scenario outcomes. The present study contributes to this discussion by starting with the observation that there are three main channels by which AFOLU-focused climate change mitigation policies may exacerbate food insecurity. One is promotion of large-scale bioenergy crop expansion; low-emissions scenarios in integrated assessment models (IAMs) have highlighted the potential importance of bioenergy, particularly bioenergy with carbon capture and storage (BECCS), for reducing costs and enabling deep system-wide emissions mitigation8,9,10. The consequent competition between food and bioenergy production can cause increased prices and reduced supplies of food crop commodities. Second, policies that price or constrain non-CO2 emissions from agricultural production can directly increase costs of food production and thus food commodity prices11,12. The third channel is afforestation policies, which incentivize a reduction in cropland and pastureland supply.

While these secondary impacts of AFOLU emissions mitigation have been addressed in the literature13,14, and one such study proposes inclusive policy designs to prevent adverse side effects, the present body of knowledge has not identified the relative importance of the factors that drive potential food security risk in a single consistent analytical framework. Studies have focused on each element individually; for example, the direct impacts of non-CO2 emissions reductions15 or the implications of bioenergy expansion12. Afforestation has also been addressed individually, albeit for carbon sequestration potential16,17. Some studies have examined the degree of potential carbon sequestration of afforestation and the costs thereof and have warned that food insecurity may result from forest carbon sequestration18,19. A remarkable study20 incorporated these three factors and climate change impacts on yield but did not consider the stringent climate policy in line with the Paris Agreement, which aims to limit the global mean temperature increase to below 2 °C over pre-industrial levels, and limited physical indicators such as emissions, bioenergy, land use and the number of people at risk of hunger are reported.

Here we show the relative extent to which energy crop expansion, non-CO2 emissions reduction in the agricultural sector and afforestation affect agricultural markets and food security under climate mitigation scenarios. Understanding the potential risk of food insecurity associated with these three GHG emissions abatement strategies is key to the design of policies that reduce emissions while minimizing unintended adverse consequences. To analyse each cause individually, we examine several scenarios that are consistent with limiting the global mean temperature increase to below 2 °C. Figure 1 summarizes the logical chains of the causes and effects of climate change mitigation measures on risk of hunger and agricultural price increases as adopted in this study—and discussed in greater detail later. To investigate the uncertainty range, this study employ six global agroeconomic models representing agriculture and land-use systems and their emissions—namely AIM/Hub21, CAPRI22, FARM23, GCAM24, GLOBIOM25 and MAGNET–IMAGE26. For the scenarios, the carbon prices, bioenergy production requirements and forested land area are harmonized where possible among the models. AIM/Hub, FARM and GCAM represent the land-use and energy systems explicitly; therefore, afforestation and the bioenergy land requirement are endogenously determined in response to carbon prices. Other models use exogenous parameters to achieve the scenarios’ specifications. We found that the models’ representations of non-CO2 emissions pricing were generally consistent, whereas the implementation of afforestation-related policies varied from one model to the next. We also employ a ‘hunger measurement tool’ which encompasses average calorie consumption per person, minimum calorific requirement and the coefficient of variation (CV) of the food-consumption distribution within countries. This enables us to explore the number of people at risk of hunger7,27,28. For comparison, we also ran baseline scenarios that excluded new climate policies to extend the historical trend, including land management or regulation. Further scenario assumptions can be found in Methods. The scenarios analysed in this study assume the socioeconomic background of Shared Socioeconomic Pathways (SSP) 2 (refs. 29,30), and for the climate policy scenarios, representative concentration pathway (RCP) 2.6 equivalent carbon prices are applied, which are taken from the SSP database. To explore the socioeconomic uncertainty, we have also examined scenarios under SSP1 (‘Sustainability’) and SSP3 (‘Regional Rivalry’). See Methods for more details and illustration of the overall research framework (Supplementary Fig. 1). Note that climate change impacts are not taken into account in this scenario framework; therefore, uncertainty associated with the state of the climate (that is, RCPs) and climate models assessed in previous studies7 are beyond the scope of this study. Neither do we consider climate variability, which has been discussed in the literature, but these should be carefully considered as recent literature reports31.

## Results

### Main indicators

In the baseline scenarios, global average calorie availability over the upcoming decades continuously increases, mainly due to income growth in developing countries, which drives food demand, reaching 3,058 kcal per person per day in 2050 (2,996–3,260 kcal among the models; hereafter, ranges indicate the inter-model spread; Fig. 2a). Accordingly, the number of people at risk of hunger declines overtime, to 417.6 million (288.6 million–564.4 million) in 2050 (Fig. 2b). This trend is consistent with the earlier studies7,13,32. The models’ general agricultural producer price indices are projected to be almost constant over this time frame, with a range of 0.95 to 1.15 in 2050 (Fig. 2c). A similar degree of inter-model variation in projected prices has been observed in earlier studies as well33. Agricultural demand increases and technological improvement are the main upward and downward drivers of prices, respectively, which tend to offset each other. Crop production, livestock production, food consumption, agricultural price, cropland and pastureland information can be found in the Supplementary Information.

Under the climate change mitigation scenario to attain well below 2 °C global mean temperature, we implemented carbon (or GHG) pricing, although not all of the models in the study have explicit representations of such pricing, so the exact implementation of this policy is model-specific (Supplementary Fig. 2). A previous model comparison capped the carbon price for AFOLU emissions at US\$200 t−1 CO2-equivalent (CO2e) (ref. 13); however, because carbon prices are not expected to exceed that level by 2050, we did not apply such a cap in this study. Along with the carbon emissions price imposition (that is, carbon tax), GHG emissions mitigation actions are carried out by the agricultural and land-use system, pushing up the production cost, land rent and agricultural commodity producer prices (Fig. 2c). Consequently, calorie availability decreases by 117 (19–142) kcal per capita per day, and the population at risk of hunger increases by 117.7 (19.5–155.4) million in 2050, and that increases over the period (Fig. 2a,b). For most indicators, climate change mitigation policy impacts increased as the level of climate change mitigation strengthened over time (49.8 (3.5–99.4) million in 2030).

Shifting to the decomposition analysis, the population at risk of hunger in 2050 increases by 41.9 million due to afforestation, 10.8 million from bioenergy production and 26.7 million from non-CO2 emissions abatement (Fig. 1e; numbers are multi-model medians). These can be mostly explained by average food consumption decrease (Fig. 2d) as a consequence of agricultural commodity price increases (Fig. 2f). For example, afforestation, bioenergy and non-CO2 emissions induce agricultural price increases by 17.2%, 1.4% and 7.8%, respectively (numbers are multi-model medians of a volume-weighted composite agricultural commodity that includes all crop and livestock products). Whereas the median shows the relative magnitudes of the three individual causes, the uncertainty can be assessed in the inter-model variability. The impact of modelled afforestation policies on additional risk of hunger ranges from 11.6 million to 70.4 million persons. These model variations would depend on the representation of the mitigation measures and model structure which are discussed in detail later. Given that there is model uncertainty, we carried out a sensitivity analysis to test whether a specific ‘extreme’ model would lead to this conclusion. This sensitivity analysis is conducted by withdrawing one model and iterating for all models. The conclusion is that our results are not dependent on a specific model (Supplementary Fig. 3). Also, analysis based on all models with complete sets of scenarios show similar patterns (Supplementary Fig. 4).

Note that models which include explicit energy and economic components show non-agricultural and non-land use related effects to some extent (for example, income loss associated with low-carbon energy technologies). It would be smaller than others except for AIM/Hub, which shows 29.0 million additional people becoming at risk of hunger (Supplementary Fig. 5).

### Drivers of food price increases

Afforestation for the purpose of sequestering carbon from the atmosphere to the terrestrial system is incentivized by economically valuing terrestrial carbon above and belowground. Total CO2 emissions drastically decrease in the mitigation scenarios (Fig. 3a), becoming negative by 2050 in most of the scenarios (median: −3.80 Gt CO2; from −0.24 Gt CO2 to −13.74 Gt CO2). Accordingly, forested area increases by 11.1% (17.5–24.7%) in 2050 relative to baseline scenarios, and these expansions put additional pressure on the agricultural sector (Fig. 3e). Land rent (average land rent among land-use sectors) can also increase due to land carbon sink prices; both factors would increase the average land rent by 67%, 172% and 366% in 2050 relative to the baseline scenarios in GCAM, MAGNET–IMAGE and AIM/Hub models, respectively. The pastureland also decreases accordingly (Supplementary Fig. 6).

Non-CO2 emissions mitigation is the second-largest contributor to the price increases associated with mitigation measures. There are basically two factors to increase the agricultural production prices. First, CH4 and N2O emissions abatement technologies are implemented endogenously, which directly increases the agricultural production costs, particularly in livestock products (Supplementary Fig. 7). Second, where CO2 emissions can attain negative values if CO2-removal technologies are applied, non-CO2 emissions cannot become negative and do not approach zero in the scenarios; residual emissions remain at 74.5% (56.5–87.8%) of baseline emissions (Fig. 3b,c). These values are slightly greater than existing literature but probably due to the sectoral coverage differences because the literature also includes non-agricultural related emissions34,35. These remaining emissions are subject to the carbon price, increasing the costs of crop and animal commodity production. Interestingly, these relatively modest non-CO2 emissions reductions in the agricultural sector imply large reductions in the energy system at these carbon prices (Fig. 3h).

Finally, the bioenergy crops can compete with food crops for cropland, putting upward pressure on land rents and thus agricultural commodity prices. Current model estimates show the bioenergy cropland area is 185 (61–494) million ha in 2050 under the full mitigation policy, which accounts for 11% of present-day total cropland area (Fig. 3d).

Although afforestation and bioenergy both need large amounts of land and therefore might compete with land for food production, results suggest that the effect of afforestation is larger than bioenergy. This is because afforestation requires more land than bioenergy in the scenarios, which is probably due to differences in long-term emissions mitigation potential per unit land area, particularly when the bioenergy crop commodities are used with carbon capture and storage for negative-emissions final energy production. In the bioenergy scenario, bioenergy land increase by 109 (56–690) million ha in 2050, along with even a small increase of cropland (the median change is +23 million ha, with a range from −59 million ha to +86 million ha); whereas in the afforestation scenario, forest area increases by 420 (74–895) million ha, with the decrease of cropland by 103 (39–148) million ha. Further, while the amount of cropland allocated to bioenergy production is determined by the bioenergy commodity demands of the energy system, the amount of land dedicated to afforestation has no practical limit36. In terms of characterizing the inter-model variability, it would be worthwhile to understand the contribution of the different models’ structures and assumptions to the consequent reported results. Four models reported in Fig. 3 use land-nesting representations—either logit or CET functions (AIM/Hub, FARM, GCAM and MAGNET–IMAGE)—of which three are CGE models (AIM/Hub, FARM and MAGNET–IMAGE). However, even models of a similar structural type have quite different results in this study, suggesting that other factors such as the parameterization of the land allocation decisions are stronger drivers of the inter-model variability. For example, AIM/Hub and GCAM use relatively flexible parameters for competition between cropland and forest, whereas MAGNET–IMAGE has less flexibility (Supplementary Table 1). Moreover, the biofuel representation varies among models as Supplementary Table 1 indicates. Practically, it would be difficult to fully harmonize it owing to the diversity of the model types and characteristics, which should be taken into account when interpreting the results.

The above-mentioned three drivers are also compatible with the carbon prices that clearly show the correlation, while there are some inter-model variations in the carbon-price assumptions (Fig. 3g–i). Food consumption, agricultural prices and risk of hunger similarly show the clear responses to carbon prices (Supplementary Fig. 8). However, looking at the emissions reduction over the food-consumption changes, the models’ dependency is remarkable, and for example, GLOBIOM shows relatively low efficiency in terms of emissions reduction over the food-consumption changes (in other words, food consumption is more elastic); CAPRI shows opposite trends (Supplementary Fig. 9).

### Regional implications

The impacts of the three mitigation measures for risk of hunger show similar patterns to the global results described in the prior section. In the baseline scenarios, the risk of hunger in most regions except for Sub-Saharan Africa is projected to decrease over time, mainly driven by long-term per capita income growth as shown in the global results, which might not be the case in the short term due to COVID-19. China and India show higher income growth than most other countries, and thus the risk of hunger rapidly decreases from 2010 to 2050 to 43.6 (21.4–70.0) million and 79.0 (22.6–100.0) million, respectively (Fig. 4a). Population at risk of hunger in African regions increases slightly from 164.5 million in 2010 to 167.2 (67.6–176) million in 2050, mainly due to population growth. In this time frame, Africa’s share of the global total increases from 21.1% in 2010 to 31.2% (23.0–40.0%). The relative impact of full emissions mitigation on the portion of the population at risk of hunger is generally similar across regions; still, the absolute population at risk of hunger in any scenario and region largely depends on each region’s baseline projection. Consequently, the African region has the largest population at risk of hunger in 2050 at 35.3 (10.5–69.5) million (Fig. 4a). The decomposition of three mitigation measures differs remarkably between Asian and African regions: Asian regions have relatively high impacts from non-CO2 emissions mitigation, whereas African regions show large impacts from afforestation policies. Asia has higher future income per capita than Africa (Supplementary Fig. 9), which leads to higher meat and dairy consumption (Supplementary Figs. 11 and 12), which entails prominent and difficult-to-abate non-CO2 emissions. Another contributing factor is land rent, which is generally lower in Africa than in Asia, and as such, a price on terrestrial carbon can be expected to have a greater impact in Africa. More detailed regional results are shown in Supplementary Fig. 13. Note that whereas the irrigated rice area in Asia is considerable and causes relatively high CH4 emissions, this is not the main driver of the above-mentioned land and commodity price changes (Supplementary Fig. 14).

### Socioeconomic variations

Socioeconomic development is one of the key elements that determines future agricultural market and food security conditions. As such, we carried out a sensitivity test under different socioeconomic assumptions: SSP1 and SSP3, which span a wide range for the future (low population and high economic growth in SSP1 and high population and low economic development in SSP3)37. In baseline scenarios, the total population at risk of hunger decreases faster in SSP1 than SSP2 due to the rapid economic development, particularly in current low-income countries in SSP1. Meanwhile, SSP3 shows the population at risk of hunger reacting opposite of SSP1’s direction, generally increasing or at least maintaining present-day risk over the next couple of decades (Fig. 5a). The response to the climate mitigation policies differs, and the risk of hunger in SSP1 and SSP3 increases by 61.1 (12.3–73.9) million and 359.3 (264.7–557.3) million compared with baseline scenarios respectively in 2050. This could be partly due to the differences in baseline hunger projections, but more importantly, the risk of hunger in SSP3 should be more sensitive than others to the same carbon price because the average per capita income is low and thus there is a larger number of people in poverty. The percentage changes give clearer characteristics of SSPs; namely 28.4% (4.2–47.9%) and 46.1% (36.0–66.2%) in SSP1 and SSP3, respectively. Similar behaviour from agricultural commodity price changes is shown in Supplementary Fig. 7.

In contrast to the total effects of climate mitigation, the decomposition of three causes show similar trends in all SSPs (Fig. 5d–f). In SSP1, afforestation, bioenergy and non-CO2 abatement induce additional risk of hunger by 37.6 million, 3.0 million and 17.5 million (model medians, respectively), while in SSP3 they are 132.7 million, 49.7 million and 74.4 million (model medians), respectively in 2050. This further supports our findings in SSP2 shown earlier. It can also be interpreted that regardless of future socioeconomic conditions, the afforestation and non-CO2 reductions are the main factors prescribing the impacts of emissions mitigation broadly on the agricultural sector.

## Discussions and Conclusions

We have estimated the three main causes of food insecurity and agricultural commodity price and land-use changes associated with climate change mitigation measures, namely afforestation, bioenergy expansion and non-CO2 emissions abatement. Afforestation policies caused the greatest adverse side effects on food security, followed by non-CO2 abatement policies. We confirm this finding under different socioeconomic assumptions with multiple global agricultural economic models. We further demonstrate that specific extreme models do not lead our conclusion. Regionally, Sub-Saharan Africa is most vulnerable to these shocks. Our results indicate the complexity and challenges in AFOLU emissions mitigation policy from multiple angles. The actual risk of hunger in response to agricultural price increases or mean food-consumption decreases is difficult to elucidate due to the complex nature of hunger and poverty. Our results require careful interpretation; however, the avoidance of this potential issue is worthy of consideration.

As shown in Fig. 1, a key element in the causal chain between emissions mitigation policy and food insecurity is the cost of agricultural commodity production. The most stringent climate-stabilization scenarios rely heavily on negative emissions technologies such as afforestation and BECCS, and mitigation of non-CO2 emissions is also quite important under low or net zero emissions conditions4,38. The carbon pricing on land carbon stock generally increases the land rent and motivates landowners to expand forests. The higher the carbon prices and forest primary productivity, the stronger this incentive is. These dynamics drive agricultural commodity production costs upward. Bioenergy production can trigger similar effects through generally similar causal mechanisms, increasing land rent due to the additional competition. Mitigating non-CO2 emissions has a different mechanism of increasing agricultural production costs; these policies directly increase the food crop production costs, both due to the cost of the abatement technologies deployed and the additional costs from any remaining emissions that are not abated. Nevertheless, non-CO2 mitigation measures impact more substantially a subgroup of sectors with higher emissions intensity per kcal, such as livestock products compared with afforestation that targets all cropland and grassland without distinction. Once climate policy would give incentives to these measures, it might be difficult to cut off the left arrows in Fig. 1. One possibility to prevent this situation would be societal transformation (for example, reducing energy demand drastically39 and/or lifestyle changes40). Although such outcomes are possible, they should not be assumed for present-day policy modelling and assessment.

The impact from these three drivers on the ‘secondary factors’, shown in Fig. 1 may be addressed through policy. For example, even if large-scale afforestation and bioenergy expansion occurs, land rent impacts on cropland could be controlled by policy such as subsidies for production of food crops. Note that without the carbon pricing on land carbon sinks, there would be strong incentives to cultivate bioenergy crops to attain negative emissions associated with BECCS; to deter this, policies related to non-food land demand may be needed41,42. Regarding the arrows from secondary effects to the production costs in Fig. 1, there are still important roles for policy, but technology can also help to mitigate any adverse impacts. One issue of subsidy policy in general is the scale of the market distortion; the scenarios show production cost increases by around 30% relative to baseline, which would require substantial subsidy budgets. Note that carbon tax revenue might be the right candidate for this purpose43. Technological progress in non-CO2 emissions reduction and bioenergy yield would mitigate the agricultural cost increases. Although it is essential to encourage the research and development of these technologies, progress on specific individual technologies is unpredictable; therefore, it is important to maintain or increase investment in this area in general.

Aside from the supply-side management, demand-side transitions may mitigate the adverse side effects such as dietary shifts reducing meat consumption44,45, changing food distribution practices to better meet the needs of the most vulnerable, reducing food waste or implementing subsidies for consumption14,46. In particular, the scale of subsidy is reported to be small, and despite the challenges associated with the implementation of food policies, several options are available to avoid the food security concerns often linked to climate mitigation. Alternatively, a reduction in food waste may have considerable potential since food waste volume is currently substantial. In any case, the above-mentioned measures may not be effective in isolation. We would need holistic approaches for food security under deep decarbonization transition. Note that trade is understood to be important for resolving discrepancies between supply and demand and mitigating price shocks; however, at least within the framework of our study, trade alone does not resolve these issues because climate policy (that is, carbon price) is implemented globally. If trade barriers were alleviated, the adverse effects of climate change mitigation on hunger risk would be moderated. However, such a decision would impact the baseline scenario design.

Whereas the main results of this study were true for most—if not all—participating models, it is worth noting that some of the variability in the results may be explained by the models’ structural representations. For example, models that show relatively high impacts of afforestation policies are AIM/Hub, GCAM and MAGNET–IMAGE, all of which have explicit representations of land rent, and in all cases, the emissions mitigation policies with afforestation led to remarkable increases in land rental rates due to the pricing of terrestrial carbon. In contrast, GLOBIOM has no explicit land rent, and the cost increase in agricultural commodities is instead caused by a shift in cropland from high- to low-productivity land areas. In addition to structural differences, there is also notable uncertainty that is due to different parameterization; for example, models with similar structural land nesting can return dramatically different results if using different elasticities. A previous study compared IAM model performance based on a sensitivity analysis of specific parameters but focused mainly on land-use changes30; a similar analysis focused on hunger risk should be conducted in a future study.

Whereas in this study we focused on agricultural and food security aspects, the policies analysed also probably have ancillary impacts, some positive (for example, biodiversity, ecosystem services) and some negative (for example, eutrophication). Reforestation with native species can have additional environmental co-benefits in regenerating habitat47. In contrast, if the afforestation purely aims to sequester the maximum possible amount of carbon from the atmosphere, the tree species selected might be non-native and cause negative ecosystem impacts. Some models represent entire economic systems, including general equilibrium effects (for example, labour allocation changes, consumption of other goods, price changes and macroeconomic feedbacks); such effects have only partly been addressed in the literature11,48,49. Moreover, nitrogen pollution and water consumption may be exacerbated by climate change mitigation50,51,52; more comprehensive and geographically detailed environmental assessment would allow such an analysis. Finally, the models used in this study require continuous model-improvement efforts such as validation of the assumed parameters to better reflect historical trends. We also see several large differences in base year (for example, land-use data), and future studies should invest some effort in making those differences smaller.

## Methods

We carried out a scenario analysis to decompose the effects of afforestation, bioenergy and non-CO2 abatement on agricultural markets and food security. The overall research framework is shown in Supplementary Fig. 1. For this scenario analysis, we employed six state-of-the-art global agricultural economic or integrated assessment models that sufficiently represent the agricultural sector and land use to assess the interaction between climate mitigation and food security. Global economic models compute the agricultural consumption, production, land use and associated emissions by crops and livestock and forestry. Food-consumption data from the models are then provided to a hunger assessment tool, which computes individual countries’ food-consumption distribution and population at risk of hunger. To identify the magnitude of three causes on the agricultural market, we developed a sensitivity scenario protocol that involved systematically switching on/off the different mitigation options. Basically, the models react to mitigation policies that cause the prices of agricultural commodities to increase because of agricultural production-cost increases. While this price change can induce food-consumption shifts such as from rice to other cereals, the total food consumption decreases. Here we describe (1) the scenario definition and protocol, (2) a brief model overview for each agricultural model (a summary is in Supplementary Table 1) and (3) the hunger tool description.

### Scenarios and experiment design

We developed a set of scenarios that combine three socioeconomic conditions and one mitigation policy scenario (and one baseline scenario) that are consistent with the 2 °C goal stated in the Paris Agreement, which is equivalent to the RCP2.6 level of emissions reduction for the main assessment53. These mitigation policy scenarios include a variety of land-based abatement options but apply the same carbon prices. For the socioeconomic assumptions, we used three SSPs from the internationally developed SSP framework designed to conduct cross-sectoral assessments of climate change impact, adaptation and mitigation29. The SSPs are representative future scenarios, which include both qualitative and quantitative information in terms of challenges in mitigation and adaptation to climate change. In this study, we used three SSP scenarios from the SSP framework, that is, ‘sustainability’ (SSP1)26, ‘middle of the road’ (SSP2)54 and ‘regional rivalry pathways’ (SSP3)21 to address the uncertainty of socioeconomic conditions (Supplementary Fig. 15). We implement SSP-dependent agricultural yield, food preference and so on beyond population and gross domestic product as shown in Stehfest et al.30 We did not explicitly represent additional land-degradation effects in our crop yield projection (Supplementary Fig. 16), although these are of concern55,56. They are basically in line with the historical trends while there are variations among regions and crops57. These are wholly model-dependent assumptions that we did not harmonize, and thus it is natural that variation should emerge. There are some responses to mitigation policies which are quite limited because we assume that climate conditions are unchanged. Incorporating these effects could change the numerical results, reducing the amount of arable land available for energy crops or afforestation, ultimately decreasing mitigation potential. Incorporating land-recovery effects would produce the opposite results.

To isolate the effect of each land-based mitigation option (afforestation, bioenergy and non-CO2 emissions reduction plus carbon-price imposition), we used a recently developed58,59 and widely applied methodology30 that identifies the individual effects of an input factor with a limited number of model experiments even in a complex system. In general, we could classify the mitigation options into four categories, that is, afforestation, bioenergy, non-CO2 pricing and other (tax on non-agriculture and land-use sectors). The first three are land-related mitigation options and are the focus of this study. Therefore, we designed three scenarios with each applying only one of the land-related mitigation options and one scenario that applies all three options simultaneously, as shown in Supplementary Table 3 (for the models with non-agricultural sectoral emissions—for example, energy sectors—including AIM/Hub, GCAM and FARM, because it is difficult to turn off these mitigation options, tax on non-agricultural sectoral emissions was also applied in these four scenarios).

Both the baseline and mitigation scenarios are sub-optimal scenarios in terms of agricultural productivity, production and consumption structure from the perspective of reducing hunger risk and achieving emissions abatement at the lowest cost. There can be non-economic barriers to fulfilling the optimal condition (for example, filling the yield gap and realizing environmentally friendly dietary patterns). If climate change mitigation policy packages could be designed to change the assumed socioeconomic conditions simultaneously, underlying the baseline scenarios, then both the population at risk of hunger and GHG emissions would decrease.

We have also run sensitivity scenarios with AIM/Hub, FARM and GLOBIOM, where most mitigation measures are available and only one is switched off; each of these models sufficiently represents all agricultural activities and GHG emissions (Supplementary Tables 1 and 3). Note that while non-CO2 emissions from agricultural sectors are fully covered, soil organic carbon, emissions due to biomass burning associated with land clearing and changes in agricultural biomass are not considered. This exercise could enhance the robustness of our decomposition methodology, which is similar to the way carried out by other studies in the climate change analysis literature30,60 (Supplementary Table 4). However, it should be noted that because there are individual model characteristics, there can be some biases originated from model representations. For example, multiple cropping is represented in four out of six models. For all mitigation scenarios, a global uniform carbon tax (except for FARM, which applies an endogenous carbon price) was imposed in these mitigation scenarios54, as shown in Supplementary Fig. 2. Model submission status is shown in Supplementary Table 5.

Regarding non-agricultural sectors’ interactions, models without representation of non-agricultural sectors (CAPRI, GLOBIOM and MAGNET–IMAGE) can be assessed by directly comparing baseline and mitigation scenarios. For the models with representation of non-agricultural sectors (AIM/Hub, GCAM and FARM), we need to further identify the effect of non-agricultural activity (for example macroeconomic feedback associated with energy system changes) and thus we run all mitigation measures off scenarios (Supplementary Table 6). The final result presented was the average of scenario sets and decomposition method, which aimed to account for the uncertainty in modelling capacity and decomposition method. For bioenergy, Supplementary Table 7 shows model output.

We show the main baseline indicators for crop production (Supplementary Fig. 17), livestock production (Supplementary Fig. 18), food consumption (Supplementary Fig. 19), population at risk of hunger (Supplementary Fig. 20), agricultural price index (Supplementary Fig. 21), cropland (Supplementary Fig. 22), pastureland and its changes relative to baseline scenarios (Supplementary Figs. 23 and 6), land-use composition (Supplementary Fig. 24), food use ratio for coarse grain (Supplementary Fig. 25) and ruminant meat consumption share in total meat consumption (Supplementary Fig. 26; note that this trend may not fully reflect the recent historical decreasing trend).

### Model description

This section describes the main features of each model. Because many models used in this study participated in the earlier studies (for example, ref. 13), this section can be similar to the description in those papers13.

AIM/Hub21, which is formerly named AIM/CGE, is a one year step recursive-type dynamic general equilibrium model that covers all regions of the world. The AIM/Hub model includes 17 regions and 42 industrial classifications. For appropriate assessment of bioenergy and land-use competition, agricultural sectors are also highly disaggregated61. Details of the model structure and mathematical formulae are described by Fujimori, Masui and Matsuoka62. The production sectors are assumed to maximize profits under multi-nested constant elasticity substitution functions and each input price. Energy-transformation sectors input energy and value added are fixed coefficients of output. They are treated in this manner to deal with energy conversion efficiency appropriately in the energy-transformation sectors. Power generation values from several energy sources are combined with a logit function. This functional form was used to ensure energy balance because the constant elasticity substitution function does not guarantee an energy balance. Household expenditures on each commodity are described by a linear expenditure system function. The parameters adopted in the linear expenditure system function are recursively updated by income elasticity assumptions27. Land use is determined by logit selection61. Land-use change emissions are derived from the forest-area change relative to the previous year multiplied by the carbon stock density, which is differentiated by global agroecological zones. Non-energy related emissions other than land-use change emissions are assumed to be in proportion to the level of each activity (such as output). CH4 has a range of sources, mainly the rice production, livestock, fossil fuel mining and waste-management sectors. N2O is emitted as a result of fertilizer application and livestock manure management and by the chemical industry.

MAGNET–IMAGE (Modular Applied GeNeral Equilibrium Tool-Integrated Model to Assess the Global Environment) is the combination of the agroeconomic model MAGNET63 and the integrated assessment model IMAGE64. MAGNET is a multi-regional, multi-sectoral, applied general equilibrium model64 based on neo-classical microeconomic theory which is an extension of the standard Global Trade Analysis Project (GTAP) model. The core of MAGNET is an input–output model, which links industries in value-added chains from primary goods to final goods and services for consumption. Input and output prices are endogenously determined by the markets to achieve supply and demand equilibrium. The agricultural sector is represented in high detail compared with standard CGE models. Developments in productivity are driven by a combination of assumptions on autonomous technological change provided by IMAGE and by economic processes as modelled by MAGNET (that is, substitution between production factors). Land is modelled as an explicit production factor described by a land supply curve, constructed with land availability data provided by IMAGE.

IMAGE is a comprehensive integrated assessment framework, modelling interactions between the human and natural systems64. The framework comprises a number of sub-models describing land use, agricultural economy, the energy system, natural vegetation, hydrology and the climate system. In this study, specifically, the land component is applied, which represents land use, crop production, afforestation and the carbon cycle spatially explicitly at a 5 arc-minute resolution.

Emissions in MAGNET are coupled to all relevant sectors. Technical mitigation of non-CO2 GHG emissions from agriculture is based on Lucas et al.65 The residual emissions are taxed in MAGNET. The costs of technical mitigation are also implemented as part of the tax. The level of avoided deforestation and afforestation policy is determined in IMAGE through the climate policy model FAIR-SimCAP that makes a cost-effectiveness assessment of these mitigation options compared with other options in the energy and industry sectors16. The policy measures are subsequently implemented in MAGNET through reduced land availability.

GLOBIOM (GLobal BIOsphere Management) model, which is a partial equilibrium model66, represents the competition between different land use-based activities. It includes a detailed representation of the agricultural, forestry and bioenergy sectors, which allows for the inclusion of detailed grid-cell information on biophysical constraints and technological costs and a rich set of environmental parameters, including comprehensive AFOLU GHG emission accounts and irrigation water use. For spatially explicit projections of the change in afforestation, deforestation, forest management and their related CO2 emissions, GLOBIOM is coupled with G4M (Global FORest Model)67. As outputs, G4M provides estimates of forest-area change, carbon uptake and release by forests and supply of biomass for bioenergy and timber.

GCAM integrated assessment model links modules of the economy, energy system, agriculture and land-use system and climate68,69,70. The agriculture and land-use component determines supply, demand and prices for crop, animal and forestry production and bioenergy based on expected profitability. In doing so, the model determines land allocation across these categories and pastureland, grassland, shrubland and noncommercial forestland. The agriculture and land-use component of GCAM is fully coupled with the energy, economic and climate modules within GCAM; that is, all four components are solved simultaneously. In the version of GCAM used in this study, bioenergy provides the primary linkage between the agriculture and land-use component and the energy component, with bioenergy produced by the land system and consumed by the energy system. The agriculture and land component is coupled to the energy economy through bioenergy and carbon prices. Carbon prices are imposed iteratively until the prescribed climate target is reached. The carbon prices influence the cost of fossil fuel energy technologies, and the profitability of land-cover options. In particular, GCAM assumes the carbon price is applied to carbon stocks held in the terrestrial system, incentivizing land owners to increase these stocks. As a result, strong incentives exist to expand carbon stocks under a climate policy, resulting in substantial afforestation. The agriculture and land-use component is connected to the climate through emissions (CO2 and non-CO2), which are produced by the land system and passed into the climate system to calculate concentrations, radiative forcings and other climate indicators.

CAPRI (Common Agricultural Policy Regionalised Impact) modelling system is an economic large-scale, comparative–static, partial equilibrium model focusing on agriculture and the primary processing sectors (www.capri-model.org). CAPRI comprises two interacting modules, linking a set of mathematical programming models of EU regional agricultural supply to a spatial multi-commodity model for global agri-food markets. The regional EU supply models depict a profit-maximizing behaviour of representative farms for all EU NUTS 2 regions (that is, the nomenclature of territorial units for statistics is a hierarchical system developed by EUROSTAT for dividing up the economic territory of the European Union), taking constraints related to land availability, nutrient balances for cropping and animal activities and policy restrictions into account. The market module consists of a spatial, non-stochastic global multi-commodity model for about 60 primary and processed agricultural products, covering 77 countries in 40 trading blocks. Bilateral trade flows and attached prices are modelled based on the Armington assumption of quality differentiation71. The behavioural functions in the market model represent supply and demand for primary agricultural and processed commodities (including human and feed consumption, biofuel use and import demand from multilateral trade relations), balancing constraints and agricultural market policy instruments (that is, import tariffs, tariff rate quotas, producer and consumer support estimates and so on). With regard to GHG accounting, CAPRI calculates EU agricultural GHG emissions for the most important N2O and CH4 emission sources based on the inputs and outputs of agricultural production activities, following to a large extent the 2006 Intergovernmental Panel on Climate Change guidelines. It also includes specific technical and management-based GHG mitigation options for EU agriculture into account. GHG emissions for the rest of the world are estimated on a commodity basis in the market model72.

FARM (Future Agricultural Resources Model) is a global computable general equilibrium (CGE) model with 13 world regions that operates in five-year steps from 2011 to 210173. Data requirements include a base-year social accounting matrix from GTAP at Purdue University, energy balances from the International Energy Agency, land use from the Food and Agriculture Organization (FAO) of the United Nations and agricultural production from FAO. FARM has been extended in many ways beyond the ‘GTAP in GAMS’ model described in Lanz and Rutherford74: conversion from comparative–static to a recursive–dynamic framework; conversion of the consumer demand system from constant elasticity of substitution to the linear expenditure system; allowing for joint products in production functions; introduction of land classes for agricultural and forestry production; and introduction of electricity-generating technologies. Two markets are important for bioelectricity: the market for land and the market for electricity. Bioelectricity must compete against crops, pasture and forest for land, and must also compete for a share of electricity generation. Land shifts among crops, pasture and forests in response to population growth, dietary preference, changes in agricultural productivity and policies such as a renewable portfolio standard or a carbon tax. Land competition is based on the land rent for each competing use: land use is adjusted within agroecological zones until rents at the margin are equal. The relatively simple market-clearing conditions for land allocation may not accurately represent the current heterogeneous land market; at the same time, however, this representation has the advantage of maintaining the land area’s physical balance. CO2 capture and storage is available for electricity generated from fossil fuels and from bioelectricity.

### Model characteristics

Each model has individual characteristics that include advantages and disadvantages. Here we briefly describe them. CGE models, AIM/Hub, FARM and MAGNET have the advantage of being able to take into account the whole economic system with interaction of macroeconomic feedback and microeconomic price adjustments. AIM/Hub and FARM explicitly represent energy systems and emissions in physical terms. This enables them to consistently deal with the energy market, including bioenergy substitution with other energy carriers for energy demand and energy supply (bioenergy power generation) and consistent GHG emissions. MAGNET does not represent them, which could be a potential disadvantage, but it compensates for this by linking to the IMAGE model. Meanwhile, CGE models mostly have relatively coarse agricultural sector resolutions compared with partial equilibrium models, which may sometimes be a disadvantage. Within the partial equilibrium models, GCAM and other models (CAPRI and GLOBIOM) differ significantly in the sense that GCAM includes energy systems and their emissions explicitly with detailed technological resolutions. As indicated earlier, this characteristic can provide a physically consistent picture of energy, agriculture and land-use interactions. CAPRI and GLOBIOM have relatively detailed sectoral and spatial resolutions that allow exploration of food production and consumption details, which is usually a strong advantage. GLOBIOM offers an advanced representation of livestock production systems and forestry.

### Estimates of people at risk of hunger

In principle, the risk of hunger can be calculated by referring to the mean calorie consumption, which is the same approach as in AIM/Hub and IMAGE. The narrow definition of undernourishment or hunger is a state of energy (calorie) deprivation lasting over one year; this does not include the short-lived effects of temporary crises75,76. Furthermore, this does not include inadequate intake of other essential nutrients75. The population at risk of hunger is a proportion of the total population and is calculated using equation (1):

$$\mathrm{Risk}_t = \mathrm{POP}_t \times\mathrm{PoU}_t$$
(1)

where t is year, Riskt is the population at risk of hunger in year t, POPt is the population in year t and PoUt is the proportion of the population at risk of hunger in year t.

According to FAO methodology77, the proportion of the population at risk of hunger is defined using equations (2)–(4). With the FAO methodology, the proportion is calculated using three parameters: the mean food calorie consumption per person per day (cal), the mean minimum dietary energy requirement (M) and the coefficient of variation of the food distribution of the dietary energy consumption in a country (CV). The food distribution within a country is assumed to follow a log normal distribution. The proportion of the population under the mean minimum dietary energy requirement (M) is defined as the proportion of the population at risk of hunger. The log normal distribution has two parameters, the mean μt and the variance σt, as in equation (2). The parameters μt and σt can be represented using the mean food calorie consumption per person per day (cal) and the coefficient of variation of the domestic distribution of dietary energy consumption (CV) as in equations (3) and (4).

Each IAM reports the mean food calorie consumption per person per day (cal). We standardize the base-year calorie consumption to what FAO reports and take the change ratio of each year to the base year for IAMs. We then compute the standardized calorie consumption to make a consistent number for those at risk of hunger. In this process, because the IAMs are regionally aggregated values, they are downscaled to the individual country level by taking the base-year value reported by FAO and future change ratio from IAMs. The CV is an indicator of food security observed in a household survey conducted by the FAO. It ranges from 0 to 1. FAO country data for CV are weighted on the basis of population data in the base year and aggregated to regional classification to obtain the CV of aggregated regions. The CV is changed over time with the consideration of income growth dynamics as presented in Hasegawa et al.27 Note that there is an assumption that the future CV changes of each region is based on the current regional value.

$$\mathrm{PoU}_t = {\Phi}\left( {\log \,M_t - \frac{\mu (\mathrm{cal}_t,\sigma_t)}{\sigma_t}}\right)$$
(2)
$$\mu (\mathrm{cal}_t,\sigma _t) = \log\mathrm{cal}_t - \frac{\sigma _t\!^2}2$$
(3)
$$\sigma _t = \left[ {\mathop {{\log }}\nolimits_e (\mathrm{CV}^2 + 1)} \right]^{0.5}$$
(4)

where Mt is the mean minimum dietary energy requirement in year t, CVt is the coefficient of variation of the international distribution of dietary energy consumption in year t, Φ is the standard normal cumulative distribution and calt is the mean food calorie intake per person per day in year t.

The mean minimum dietary energy requirement (M) is calculated for each year and country by using the mean minimum dietary energy requirement in the base year at the country level78,79,80 and an adjustment coefficient for the minimum energy requirements per person in different age and sex groups79 and the population of each age and sex group in each year80, as in equations (5) and (6).

$$M_t = {M_{\mathrm{base}}}\times\frac{{\mathrm{MER}}_{t}}{{\mathrm{MER}}_{\rm{base}}}$$
(5)
$${\mathrm{MER}}_t = \frac{{\mathop {\sum}\nolimits_{i,j} {RMER_{i,j}} \times P_{{\mathrm{class}}_{i,j,t}}}}{{\mathop {\sum}\nolimits_{i,j} {P_{{\mathrm{class}}_{i,j,t}}} }}$$
(6)

where i is age group, j is sex, Mbase is the mean minimum dietary energy requirement per person in the base year, MERt is the mean adjustment coefficient of minimum energy requirements per person in year t, MERbase is the mean adjustment coefficient of the minimum energy requirements per person in the base year, $$RMER_{i,j}$$ is the adjustment coefficient for the minimum energy requirements per person of age i and sex j and $$P_{\mathrm{class}_{i,j,t}}$$ is the population of age i and sex j in year t.

### Reporting Summary

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

## Data availability

Model output data are available at https://doi.org/10.5281/zenodo.5793100. Data derived from the original scenario database, which are shown as figures but are not in the above database, are available upon reasonable request from the corresponding authors. Source data are provided with this paper.

## Code availability

All code used for data analysis and creating the figures is available via Zenodo at https://zenodo.org/record/5793100#.YcB0w2jP2Uk.

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## Acknowledgements

S. Fujimori, W.W., T.H. and K.T. are supported by the Environment Research and Technology Development Fund (JPMEERF20202002) of the Environmental Restoration and Conservation Agency of Japan. S. Fujimori, T.H. and K.T. are supported by the Sumitomo Foundation. W.W. was supported by the Japan Society for the Promotion of Science KAKENHI (grant no. JP20K20031). H.v.M., A.T. and W.-J.v.Z. received funding from the Dutch Ministry of Agriculture, Nature and Food Security through the Wageningen University Knowledge Base programme (Circular and Climate Neutral Society, KB-34-003-001 Integrated toolbox for cross-sectoral forward looking assessments and scenarios). S. Frank, P.H. and H.V. received funding from the European Union’s H2020 ENGAGE (grant no. 821471) and NAVIGATE (grant no. 821124). This research was supported by the Economic Research Service of the US Department of Agriculture.

## Author information

Authors

### Contributions

S. Fujimori and W.W. designed the research. W.W. and S. Fujimori carried out analysis of the modelling results. W.W. created figures. S. Fujimori and W.W. wrote the draft of the paper. S. Fujimori, W.W., T.H., J.D., S. Frank, J.H., P.K., R.S., W.-J.v.Z., P.H., I.P.D., A.S., E.S., A.T., H.V. and H.v.M. set up the model. W.W., T.H., J.D., S. Frank, J.H., P.K., R.S. and W.-J.v.Z. simulated the model, and all authors contributed to writing the entire manuscript.

### Corresponding authors

Correspondence to Shinichiro Fujimori or Wenchao Wu.

## Ethics declarations

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The authors declare no competing interests. The findings and conclusions in this publication are those of the authors and should not be construed to represent any official USDA or US government determination or European Commission policy.

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## Supplementary information

### Supplementary Information

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### Source Data Fig. 5

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Fujimori, S., Wu, W., Doelman, J. et al. Land-based climate change mitigation measures can affect agricultural markets and food security. Nat Food 3, 110–121 (2022). https://doi.org/10.1038/s43016-022-00464-4

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