Ecological Modelling 288 (2014) 103–111 Contents lists available at ScienceDirect Ecological Modelling journal homepage: www.elsevier.com/locate/ecolmodel Feeding 10 billion people under climate change: How large is the production gap of current agricultural systems? Boris Sakschewski a , Werner von Bloh a,∗ , Veronika Huber a , Christoph Müller a , Alberte Bondeau b a Potsdam Institute for Climate Impact Research, Telegraphenberg A 31, D-14473 Potsdam, Germany Mediterranean Institute of Biodiversity and Ecology (IMBE), Aix-Marseille University/CNRS/IRD, Bâtiment Villemin, Europole de l’Arbois—BP 80, F-13545 Aix-en-Provence cedex 04, France b a r t i c l e i n f o Article history: Received 21 January 2014 Received in revised form 23 May 2014 Accepted 26 May 2014 Available online 21 June 2014 Keywords: Population growth Food production Dynamic global vegetation model Climate change LPJmL a b s t r a c t The human population is projected to reach more than 10 billion in the year 2100. Together with changing consumption pattern, population growth will lead to increasing food demand. The question arises whether or not the Earth is capable of fulfilling this demand. In this study, we approach this question by estimating the carrying capacity of current agricultural systems (KC ), which does not measure the maximum number of people the Earth is likely to feed in the future, but rather allows for an indirect assessment of the increases in agricultural productivity required to meet demands. We project agricultural food production under progressing climate change using the state-of-the-art dynamic global vegetation model LPJmL, and input data of 3 climate models. For 1990 to 2100 the worldwide annual caloric yield of the most important 11 crop types is simulated. Model runs with and without elevated atmospheric CO2 concentrations are performed in order to investigate CO2 fertilization effects. Countryspecific per-capita caloric demands fixed at current levels and changing demands based on future GDP projections are considered to assess the role of future dietary shifts. Our results indicate that current population projections may considerably exceed the maximum number of people that can be fed globally if climate change is not accompanied by significant changes in land use, agricultural efficiencies and/or consumption pathways. We estimate the gap between projected population size and KC to reach 2 to 6.8 billion people by 2100. We also present possible caloric self-supply changes between 2000 and 2100 for all countries included in this study. The results show that predominantly developing countries in tropical and subtropical regions will experience vast decreases of self-supply. Therefore, this study is important for planning future large-scale agricultural management, as well as the critical assessment of population projections, which should take food-mediated climate change feedbacks into account. © 2014 Elsevier B.V. All rights reserved. 1. Introduction The Earth currently sustains about 7 billion people. Their demand for food, fiber, energy, and industrial products already now exceeds many of the provisioning and regulatory services of the planetary system (Rockström et al., 2009). According to recent estimates of the United Nations (2011), the world population is expected to increase to 9.3 billion in 2050 and to reach about 10.1 billion by 2100. The question to be answered here is: can these projected numbers be fed under climate change and changing ∗ Corresponding author. Tel.: +49 3312882603; fax: +49 3312882600. E-mail address: bloh@pik-potsdam.de (W. von Bloh). http://dx.doi.org/10.1016/j.ecolmodel.2014.05.019 0304-3800/© 2014 Elsevier B.V. All rights reserved. consumer behavior without expanding cropland area or significantly improving agricultural management and technology? We assess this crucial question by revisiting the long-standing debate on the human carrying capacity of planet Earth (K). According to the analysis of Cohen (1995a,b) the median of all estimations of K published up to 1995 ranged between 7.7 to 12 billion people. Acknowledging that K is effectively determined by many different factors ranging from biophysical boundaries (e.g., land and energy availability) to socio-economic developments (e.g., the rate of technological progress and wealth distribution), we consider caloric food supply as the sole limiting factor here (similar to Franck et al., 2010) but constrain our estimates to current (year 2000) land use patterns and management intensity, which we refer to as the carrying capacity of current land use systems, KC . Our estimates of KC should not be understood as direct predictions of how many people 104 B. Sakschewski et al. / Ecological Modelling 288 (2014) 103–111 the Earth will be able to support in the future. Instead, they point to potential future gaps between food supply and demand, which may result from climate change, population growth and increasing per-capita consumption, if agricultural practices are not adapted accordingly. We compute KC for different global warming and diet shift scenarios spanning 1990–2100. We do not apply yield transfer functions (regression functions of crop yield responses on climate based on previous simulations; e.g. Parry et al., 2004), but we compute global caloric production using the dynamic global vegetation model LPJmL which includes crops and pasture (Bondeau et al., 2007; Sitch et al., 2003). Recent studies show that projections of agricultural production are sensitive to differences in climate projections of various climate models, which is often explained by distinct precipitation patterns (Gornall et al., 2010). Therefore, we use projections of 3 different climate models to estimate the importance of uncertainty in climate change projections for estimates of KC . Furthermore, since yield projections can depend strongly on the effectiveness of CO2 fertilization (Parry et al., 2004; Nelson et al., 2009; Gornall et al., 2010) we explore these uncertainties by calculating all scenarios with and without the direct effects of rising atmospheric CO2 concentrations on plant growth. To assess the role of diet shifts with increasing income (e.g. Popp et al., 2010), KC is estimated using country-specific present-day food demands (according to FAOSTAT) as well as changing demands e.g. of animal products based on future projections of countryspecific gross domestic product (GDP). Population growth, effects of economic growth on lifestyles, and impacts of climate change on yields will differ strongly around the globe, especially between developed and developing countries (e.g. Reilly et al., 2001; Darwin and Kennedy, 2000; Parry et al., 2004). To examine national and regional differences we also present possible caloric self-supply change between 2000 and 2100 for all countries included in this study. 2. Methods 2.1. Dynamic global vegetation model LPJmL LPJmL is a process-based ecosystem model that simulates the growth, production and phenology of 9 plant functional types (PFTs representing natural vegetation at the level of biomes; Sitch et al., 2003), 11 crop functional types (CFTs) and managed grass (Bondeau et al., 2007). Plant productivity is modeled via leaf-level photosynthesis that responds to the photosynthetic pathway (C3/C4), climate conditions, atmospheric CO2 concentrations and canopy conductance (Farquhar et al., 1980; Collatz et al., 1991, 1992; Haxeltine and Prentice, 1996), autotrophic respiration, phenology (Bondeau et al., 2007; Sitch et al., 2003) and management intensity. The phenology and management dates (sowing and harvest) of the different crop types are simulated dynamically based on crop-specific parameters and past climate experience, allowing for adaptation of varieties and growing periods to climate change (Waha et al., 2012). Technical coefficients for the representation of management intensity and production efficiency in this study are based on Fader et al. (2010). We assumed limited irrigation constrained by surface water supply (Rost et al., 2008). 2.2. LPJmL settings and runs For all model runs land-use patterns and local specification of agricultural management levels were set to the year 2000 (Fader et al., 2010). This approach keeps agricultural area and management levels constant and implies that KC depends on climate impacts, CO2 fertilization and diet shifts only. Climatic parameter inputs for LPJmL were obtained from 3 general circulation models (GCMs): CCSM3 (Collins et al., 2005; National Center for Atmospheric Research), Echam5 (Roeckner et al., 2003, Max-Planck-Institute for Meteorology) and HadCM3 (Gordon et al., 2000; UK Meteorological Office), which were chosen for their ability to accurately reproduce current temperatures and precipitation. Climate scenarios corresponded to the relatively high-emission scenario SRES A2 of the IPCC (Nakicenovic et al., 2000), with global mean temperatures rising by 4.6–4.9 ◦ C above pre-industrial levels until 2100. To investigate a possible CO2 fertilization effect, each LPJmL model run was performed twice: One run with rising CO2 concentrations (according to the SRES A2 scenario) and the other with fixed CO2 concentrations of the year 2000 (disabling additional CO2 fertilization). LPJmL delivered an annual harvested caloric amount for each country in the study period from 1990 to 2100 by summing up the produced calories in the respective grid cells. Crop yields were converted into caloric yields as in Franck et al. (2010) after Wirsenius (2000) and FAO (2001). 2.3. Caloric demand calculations For each country i, the per-capita caloric demand (Ci , kcal cap−1 d−1 ) was calculated according to Ci = (1 − ai )Si + vai Si (1) where Si is the country-specific total per-capita caloric consumption (kcal cap−1 d−1 ), ai is the country-specific share of animal products in per-capita caloric consumption, and v is the conversion factor of transforming vegetal into animal calories. Ci is expressed as vegetal calories (as derived from crops and pasture; see Section 2.4), accounting for the vegetal calories consumed both directly, and indirectly as meat and/or other animal products. Ci is always larger than Si due to the conversion losses related to meat production. The conversion factor v was fixed at 5, which is a rough average from a variety of conversion factors for pork, cattle and poultry under different feeding treatments (Smil, 2000), weighted by the respective global meat production in 2000 (FAOSTAT, 2011b). When food demand was fixed at present-day levels, Ci was set to the value of the year 2000. When food demand was assumed to change, projections of Si and ai were derived from projections of country-specific per-capita GDP (Gi ) for 1990 to 2100 using the following log–linear relationships: Si = 729.2 + 587.8 log10 (Gi ) (2) ai = −0.255 + 0.132 log10 (Gi ) (3) These relationships were established by fitting pooled countryspecific data for 1961–2007, and explain approximately 58% and 60% of the observed variability in globally pooled Si and ai , respectively (Fig. 1). Data of per-capita GDP expressed as current US$ was taken from the World Bank data base (World Bank Indicators, 2011) and converted into 1990 US$ to match with GDP projections. Food consumption data was taken from FAOSTAT (2011a). It represents the calories available at the retail level, thus potentially including calories wasted by the consumer. Projections of per-capita GDP for 1990–2100 corresponded to the SRES B2 scenario downscaled and aggregated at country-level by Columbia Earth Institute (Center for International Earth Science Information Network, 2002). SRES B2 was chosen because its underlying assumption on population growth (with around 10 billion people in 2100) corresponded well with the most recent UN population projections (United Nations, 2011) also used in this study. Projections of Si , ai , and Ci are shown in Figs. 2 and 3. 105 a) b) Food consumption (kcal person−1 day−1) Share of animal products in food consumption B. Sakschewski et al. / Ecological Modelling 288 (2014) 103–111 y = −0.25 + 0.13 x 2 0.5 R = 0.6 0.4 0.3 0.2 0.1 0 1 2 3 4 5 log10(GDP per capita) (1990 US$ MEX) 4000 y = 729.2 + 587.8 x R2 = 0.58 3500 3000 2500 2000 1500 1000 1 2 3 4 5 log10(GDP per capita) (1990 US$ MEX) Fig. 1. Log–linear relationships between (a) country-specific per-capita GDP (Gi ) and country-specific caloric consumption (Si ) (Eq. (2)), and (b) Gi and country-specific share of animal products in per-capita caloric consumption (ai ) (Eq. (3)) based on yearly data of 1961–2007. 2.4. Estimating the carrying capacity of current agricultural systems KC entering Y in every year. This is consistent with constant pasture use efficiency (technical and biological). Multiplying z with the corresponding projected world population Pw yielded KC : Y z= = W B i i i Di with Di = Ci Pi (4) Food consumption (kcal person−1 day−1) where B represents the caloric production, P the projected population size (medium fertility variant; United Nations, 2011; Center for International Earth Science Information Network (CIESIN)), C the per capita demand, and D the national caloric demand per country i. Y indicates the caloric production and W the caloric demand of the world. Y was split into 2 subcategories Ycrop and Ypasture . We assumed a worldwide coverage of animal caloric demand by about 50% crops and 50% pasture (Gilland, 2002). Therefore, the percentage value of pasture calories needed to cover 50% of the animal caloric demand in 2000 was used to constrain Ypasture calories a) 4000 3500 3000 2500 2000 1500 1000 1950 2000 2050 Years 2100 KC = zPw = P i i Y i (5) Di Data of 143 countries were available to be included in projections of KC . In 2000, these countries accounted for over 99% of the world population and the same is predicted for 2100 (United Nations, 2011). 2.5. Potential self-supply change of each country To assess the caloric self-supply change s between 2000 and 2100 for each country i, the country crop caloric yields Bi (reduced by 50% of the respective animal caloric demand) from LPJmL (average outcome of the model runs for the 3 GCM climate forcing and for the time span 2096–2100) were divided by the crop caloric demands per country Di (vegetal and crop-based feed, average for the time span 2096–2100). This yielded a self-supply factor z for each country i. We used all possible combinations for the quotient of Share of animal product in food consumption To calculate future KC under global warming, we combined the caloric yield data of LPJmL with our caloric demand projections. First we introduced a factor z ≥ 0 indicating the fraction of projected population size which can be supplied in a certain year as follows (for a calculation scheme see also Fig. 4): b) 0.6 0.5 0.4 0.3 0.2 0.1 0 −0.1 1950 2000 2050 2100 Years Fig. 2. Observed (green), hind-casted (blue), and projected (red) (a) country-specific caloric consumption (Si ), and (b) country-specific share of animal products in per-capita caloric consumption (ai ), based on Eqs. (2) and (3) (see also Fig. 1). (For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.) 106 B. Sakschewski et al. / Ecological Modelling 288 (2014) 103–111 Bi and Di regarding CO2 fertilization and per capita caloric demand described above. Putting the self-supply for 2100 into a ratio with the self-supply of 2000 yielded the potential self-supply change si : Total caloric demand (kcal person−1 day−1) 10000 9000 8000 si = 7000 zi (2100) − zi (2000) zi (2000) (6) Furthermore, we calculated si for “fixed population” scenarios, using the population sizes of 2000 in order to investigate pure climate effects. 6000 5000 4000 3. Results 3000 3.1. Global carrying capacities 2000 Assuming no change in per-capita caloric demand after 2000, KC increases over the 21st century when CO2 fertilization occurs (Fig. 5a). In this case, KC reaches an average of 7.3 billion in 2050 and 8 billion in 2100 (Table 1). Assuming no effectiveness of CO2 fertilization KC reaches 6.3 billion in 2050 and drops to 5.7 billion in 2100. By contrast, assuming a correlation of per-capita caloric demand and GDP, KC decreases until 2100 (Fig. 5b). Here, under no CO2 fertilization KC declines to an average of 4.2 billion in 2050 and 3.3 billion in 2100 (Table 1). The gap between projected human population size (United Nations (2011); medium fertility variant) and KC amounts to be 1000 1980 2000 2020 2040 Years 2060 2080 2100 Fig. 3. Projected per-capita caloric demand (Ci ) based on Eq. (1). Underlying projections of country-specific caloric consumption (Si ) and country-specific share of animal products in per-capita caloric consumption (ai ) are shown in Fig. 2. Fig. 4. Calculation pathway to derive KC for one time step. For each country i, calorie demands D are calculated separately, by multiplying the projected calorie demand per capita C and the respective projected population size P (United Nations, 2011). By summing all D, the calorie demand of the world is obtained. At this point meat and crop calorie demand are still separated. The ratio of Y and W yields a factor z indicating the calorie demand coverage of the world. 50% of the meat calorie demand is here covered by pasture and 50% by crops, what is not shown here for reasons of visual clarity. The product of z and worlds projected population size Pw (medium fertility variant; United Nations, 2011) represents the KC in comparison to the projected population size P. B. Sakschewski et al. / Ecological Modelling 288 (2014) 103–111 107 Fig. 5. 5-year running means of KC estimates from 1990 to 2100 (orange corridor) under different GCM-climate forcing (CCSM3, ECHAM5, HadCM3) and different CO2 fertilization effect (fert: maximal CO2 fertilization; nofert: CO2 levels of 2000) based on caloric demands of 2000 (a) and changing caloric demands (b). The blue corridor indicates the low and high fertility variant boundaries of the population projections of the United Nations (2011) with the medium fertility variant highlighted as black solid line. The red line in panel (a) indicates KC under constant yields and per capita demands of the year 2000. (For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.) between 2 and 5 billion people by 2050, and 2 and 6.8 billion people by 2100 (Fig. 5, Table 1). Under optimistic assumptions of food production (assuming full effectiveness of CO2 fertilization) and fixed per-capita caloric demands, the medium UN projection is about 27% higher in 2050 and 2100 than our estimates of KC (Table 1). The most pessimistic calculations with changing per-capita caloric demands and no further CO2 fertilization reveal medium UN projections to be 120% higher in 2050 and 210% higher in 2100. KC reaches 6.5 billion in 2100 under the assumption of no further CO2 fertilization, constant crop yields and fixed per-capita caloric demands of the year 2000 (Fig. 5a). This value is about 8% greater than the world population in 2000 and 14% greater than the average KC under climate forcing and no CO2 fertilization. Table 1 Summary of the different calculated KC (in billion) for the years 2050 and 2100 and the percent difference to the population projection of United Nations (2011); medium fertility variant). CO2 fertilization Yes No No Yes No GCM HadCM3 Echam5 CCSM3 HadCM3 Echam5 CCSM3 Fixed climate Arithmetic mean Arithmetic mean UN projection Yes No 2050 2100 Demand of 2000 Diet shift Demand of 2000 Diet shift 7.16 7.41 7.45 6.09 6.36 6.35 6.44 7.34 6.27 4.84 5.01 5.03 4.12 4.30 4.29 / 4.96 4.24 7.63 7.94 8.33 5.38 5.87 5.87 6.48 7.97 5.71 4.36 4.54 4.76 3.07 3.35 3.36 / 4.55 3.26 9.31 % difference to UN projection % difference to UN projection 27 49 10.10 88 120 27 77 122 210 108 B. Sakschewski et al. / Ecological Modelling 288 (2014) 103–111 Fig. 6. Political world maps to visualize the relative self-supply change from 2000 to 2100 (average value for the time spans 1996–2000 and 2096–2100) with (b, d and f) and without (a, c and e) CO2 fertilization, with fixed caloric demand per capita of 2000 (a–d) and changing per capita caloric demand (e and f), and fixed world population of 2000 (a and b). Panels (a) and (b) indicate pure climate effects. The color of each country corresponds to its self-supply change s indicated by the color scale. Countries with insufficient data are shown hatched. 3.2. Potential self-supply change of each country 4. Discussion Under our most optimistic assumptions (fixed per-capita caloric demand and full CO2 fertilization), self-supply of current landuse systems (s) is declining in Africa (except South Africa), many countries in Asia (with the exception of Russia, Kazakhstan, China and Thailand), parts of South and Central America, and small parts of Europe (Fig. 6d). The largest demand–supply gaps are found in African countries. Considerable improvement of self-supply over the 21st century is only projected in Russia, Ukraine, Bulgaria, Latvia, Moldavia, Japan and to some smaller extent in China and South Africa. If CO2 fertilization is assumed to be ineffective on crop yields, a self-supply increase is only observed in Portugal, Russia, Latvia, Japan and China (Fig. 6c). The majority of countries show a decrease in self-supply. Under our most pessimistic assumptions (increasing per-capita caloric demand and no CO2 -fertilization), the capacity of selfsupply deteriorates in almost all countries over the 21st century, especially in tropical and subtropical regions (Fig. 6e). Japan and Portugal are the only countries slightly increasing their selfsupply. Under full effectiveness of CO2 fertilization, few additional countries experience improvement of their capacity of self-supply (Russia, Moldavia, Bulgaria, Portugal and Japan; Fig. 6f). The African continent shows again the strongest decrease. Under fully effective CO2 fertilization and constant population sizes, self-supply is decreasing only in some tropical and subtropical countries of Africa and America (Fig. 6b). Almost all other countries show neutral to positive effects as the CO2 fertilization outweighs negative climate change impacts. Assuming no effectiveness of CO2 fertilization on crop yields, climate change impact becomes clearly evident. Only few countries show increasing selfsupply, whereas the majority shows decreases (Fig. 6a). 4.1. Closing the production gap by increasing agricultural productivity Our results point to the possibility of considerable food scarcities, if future population growth, climate change and changing consumption pattern are not accompanied by strong measures to increase global food production and availability. To analyze whether agricultural production kept pace with the increasing demands of a growing and richer world population in the most recent past, we compared model output to real observations for 2000–2010. During this time period, worldwide total cereal production increased from about 2.06 billion metric tons in 2000 to 2.48 billion metric tons in 2010 (FAOSTAT, 2013), an increase of about 20%. At the same time, we calculated a gap between KC in 2010 and the respective observed population in 2010 of 0.39–1.09 billion people. In other words, the observed population in 2010 is 6–19% higher than our estimates of KC depending on the specific assumptions about diet shifts and CO2 fertilization. The gap of 19% – resulting from our most pessimistic assumptions – has barely been compensated by the 20% increase in cereal production from 2000 to 2010. Thus, this comparison highlights the importance of sustaining past agricultural production increases into the future—at least as long as no demand-side measures (such as decreasing ai in developed countries) are taken (see Section 4.5). The two major levers to increase agricultural production are improvements of land productivity and expansion of agricultural lands. Since land for agricultural expansion is becoming increasingly scarce – at least if some of the remaining fertile land is set aside for the purpose of nature conservation and carbon sequestration (Rockström et al., 2009) – much of the needed increase in B. Sakschewski et al. / Ecological Modelling 288 (2014) 103–111 agricultural production will have to come through increases in land productivity (crop yields). Over the past half century crop yield gains kept pace with population growth (Huber et al., 2014), giving rise to some optimism. By contrast, the large potential gaps between food demand and production found here, together with the need for making intensive agricultural production systems more environmentally friendly (Foley et al., 2011), show that producing enough food for all will remain one of the major challenges of the coming decades. This challenge will turn out to be especially important on the African continent, as mirrored in the regional patterns of self-supply change found in our study and in accordance with recent empirical studies. Among others, population growth and low agricultural productivity have been found as main reasons for the African continent becoming a net food importer in the last decades (Rakotoarisoa et al., 2011). Between 1989 and 2009 Africa’s cereal imports increased about 89% while total cereal production increased by only 56% (FAOSTAT, 2013). In consideration of ongoing climate change and population growth this trend could strengthen, supporting the drastic negative self-supply change until 2100 found for most African countries in this study. 4.2. The role of population composition Compared with today developing countries are predicted to contribute a higher proportion to the world population in the future (United Nations, 2011). The result is a lower worldwide average caloric demand per capita under the assumption of lower percapita caloric demands in developing countries. This relationship increased KC in this study, since it depends on the average caloric demand per capita of the world. Therefore, KC in 2100 was 8% higher than KC in 2000, if caloric demand per capita was set constant and climate forcing was ignored (Fig. 5a). 4.3. The role of climate forcing Accounting for the effects of changing population composition in this study, climate change was responsible for a reduction of KC of 24% in 2100 compared to 2000. Climate impact on selfsupply change was largest in tropical and subtropical regions, including mainly emerging and developing countries (Fig. 6a and b) with a projected high population growth in the future (United Nations, 2011). Hence, we argue that climate change could lower the projected population growth for these countries, since it is not explicitly regarded in the UN projections. Malnutrition leads to lower life-expectancy and reduced fertility, which is especially problematic in low-income countries (Popkin, 1994). Recent efforts to better assess the range of possible future demographic development as e.g. in the Shared Socio-economic Pathways (SSPs) reflect the importance of varied population projections as well as various fields of interaction between climate science and demography (Hunter and O’Neill, 2014; Moss et al., 2010). Based on our results KC would decrease directly through the reduction of the world population and indirectly through the increment of the average caloric demand per capita of the world (see Section 4.2). 109 (2001) CO2 fertilization could still be important under rather high CO2 concentrations of 800 to 1000 ppm. Assuming a linear relation between yield and atmospheric CO2 concentration, the possible crop yield increase, according to the SRES scenarios, could be about 12–22% in 2100, with SRES A2 at about 20%, neglecting climatic influences. These values are considerably lower than the 40% caloric yield increase projected by LPJmL. Since LPJmL does not directly account for nutrient limitations simulated caloric yields under CO2 fertilization are most likely overestimated. On the other hand, increased CO2 can have a positive effect on plants growing under water stress due to a significant decrease in stomatal conductance at elevated CO2 levels (Maroco et al., 1999; Adams et al., 2000) resulting in an increased water-use efficiency (Huber et al., 1984). This plant trait is implemented in LPJmL and leads to higher yields especially in water-stressed regions. Whether or not the CO2 fertilization effect is overestimated in our settings, it cannot compensate for the detrimental effects of climate change and increasing caloric demands per capita on KC . When future diets shift, even under full CO2 fertilization, the UN population estimates remain higher than KC (Fig. 5b) and national self-supply deteriorates in most countries until 2100 (Fig. 6f). These results suggest that current agricultural area and management intensities, even if assuming a rather high CO2 fertilization effect, are not enough to fulfill the demands of growing and increasingly rich societies worldwide under climate change. 4.5. The role of diet shifts Global diet shifts decrease KC about 43% in 2100 (Table 1), making it the factor with the highest influence in our calculations. Our GDP-based approach to project country specific per-capita caloric demands does not account for the projected increment of global food prices in the future (IAASTD, 2009), possibly leading to decreased caloric consumption pattern in many regions of the world. The economic and political impact of this scenario is beyond the scope of this study. However, feeding parts of the global population with less-than-average calories would increase KC . Most developed countries today have the theoretical ability to restrict their per-capita caloric demand in the future, since it is beyond a healthy diet (Smil, 2000; Parfitt et al., 2010). For many developing countries, however, “less-than-average calories” would mean an unhealthy diet or even undernourishment. 4.6. Additional factors not accounted for in this study In addition to the assumptions made in this study, it should be kept in mind that KC is undoubtedly affected by many other factors contributing to closing or widening the supply gaps found in this study. 4.6.1. Post-harvest food loss We are not accounting for post-harvest food losses other than at the retail and consumer level. Taking food loss at the immediate post-harvest stages into account would decrease KC . Its prevention is one of the key solutions for improving the nutritional situation in many developing countries (Parfitt et al., 2010). 4.4. The role of CO2 fertilization The uncertainty in the effectiveness of CO2 fertilization on crop yields strongly affects KC and the national self-supply (Figs. 5 and 6). Simulated CO2 fertilization increases KC about 28% in 2100 (Table 1). According to Long et al. (2006) wheat, rice and soybean yield at elevated CO2 (550 ppm) under fully open-air field conditions increases by ∼12–14%, relative to CO2 concentration of 380 ppm. Hardly any fertilization for C4 crops and grasses was shown (Ainsworth and Long, 2005). According to Prentice et al. 4.6.2. Non-food products Non-food products derived from agricultural land (e.g. natural fibers) draw from resources that could be devoted to food production. Accounting for these losses would decrease KC . 4.6.3. Water consumption The LPJmL version used in this study does not account for any other anthropogenic water extraction from rivers other than for agriculture. The amount of available water could effectively 110 B. Sakschewski et al. / Ecological Modelling 288 (2014) 103–111 decrease as the population grows, e.g. due to personal or industrial needs. Therefore, yields in water scarce regions could decrease. On the other hand, some regions withdraw their irrigation water from ground water reserves (Tiwari et al., 2009), which are not taken into account in this study, so the amount of water used for irrigation is significantly underestimated here (Rost et al., 2008). Another problem associated with irrigation is, that many semi-arid areas show severe salinization of soils (Dregne, 2002). We do not account for any soil degradation processes. Certainly, improvement of irrigation methods is possible (Neumann et al., 2010) and can be seen as part of improvement of agricultural efficiency. 4.6.4. World food trade and food distribution Our approach assumes an optimal distribution of all calories produced worldwide to cover all caloric demands equally. This represents a fictitious market system from which any deviation could decrease KC in 2100, especially since possible gain in overproduction of calories is not located in all population hotspots (Fig. 6). Generally, world food trade is projected to increase. Cereal trade for example is projected to increase about 156% from the year 2000 to 2050 (IAASTD, 2009). Vast amounts of caloric demands of developing countries are expected to be covered by USA, Brazil and Argentina in the future (IAASTD, 2009). For these countries, not even our optimistic calculation shows a possible gain in production of exportable calories in 2100 (Fig. 6d), pointing once again to the important role of future agricultural productivity gains. 5. Conclusion Our findings show that the caloric demand of the projected population of Earth until 2100 (United Nations, 2011) under climate change can only be satisfied by the additional improvement of agricultural methods (i.e. use of fertilizer, pest control, breeding of new varieties), expansion of agricultural area, and a more sustainability-oriented consumer behavior. On the other hand, if agricultural production were not to keep pace with growing food demands, common population projections would turn out to be highly overestimated. It is, thus, highly important that population projections better account for potential climate change feedbacks via food supply-demand imbalances. In addition, our results reveal that the realization of beneficial effects of CO2 fertilization in global agricultural production will have to be facilitated by adjusted management (e.g. additional nutrient supply). Fertilization alone cannot increase production on current agricultural land with current management intensities sufficiently to meet future demand. To this point it is clear that most developing, fast growing nations in tropical and subtropical regions will have to improve their technology level to avoid massive expansion of agricultural areas or stronger dependence on food imports. Besides these supply-side measures, our study underlines that changes in consumption pattern may strongly influence the potential mismatch between agricultural production and demand. Limiting meat consumption and avoiding food waste are two widely discussed options that especially developed nations will need to pursue in order to guarantee enough food for all—across a more populated and warmer world. Acknowledgments This article is dedicated to Siegfried Franck who passed away unexpectedly on 16 May 2011. His ideas, effort and knowledge gave rise to this study and will inspire our future work. The authors thank Alice Boit (Potsdam Institute for Climate Impact Research) for her constructive comments on the manuscript and Dennis Drechsler for helping with the figure design. References Adams, N.R., Owensby, C.E., Ham, J.M., 2000. The effect of CO2 enrichment on leaf photosynthetic rates and instantaneous water use efficiency of Andropogon gerardii in the tallgrass prairie. Photosynth. 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