Journal of Human Evolution xxx (2014) 1e7 Contents lists available at ScienceDirect Journal of Human Evolution journal hom epage: www.elsevier.com /locate /jhevol Macronutrient contributions of insects to the diets of hunteregatherers: A geometric analysis David Raubenheimer a, *,1, Jessica M. Rothman b, c, Herman Pontzer b, c, Stephen J. Simpson d a Charles Perkins Centre and Faculty of Veterinary Science and School of Biological Sciences, University of Sydney, Sydney, Australia Department of Anthropology, Hunter College of the City University of New York, New York, USA c New York Consortium in Evolutionary Primatology, New York, USA d School of Biological Sciences and the Charles Perkins Centre, University of Sydney, Sydney, NSW, Australia b a r t i c l e i n f o a b s t r a c t Article history: Received 11 November 2012 Accepted 16 February 2014 Available online xxx We present a geometric model for examining the macronutrient contributions of insects in the diets of pre-agricultural humans, and relate the findings to some contemporary societies that regularly eat insects. The model integrates published data on the macronutrient composition of insects and other foods in the diets of humans, recommended human macronutrient intakes, and estimated macronutrient intakes to examine the assumption that insects provided to pre-agricultural humans an invertebrate equivalent of vertebrate-derived meats, serving primarily as a source of protein. Our analysis suggests that insects vary more widely in their macronutrient content than is likely to be the case for most wild vertebrate meats, spanning a broad range of protein, fat and carbohydrate concentrations. Potentially, therefore, in terms of their proportional macronutrient composition, insects could serve as equivalents not only of wild meat, but of a range of other foods including some shellfish, nuts, pulses, vegetables and even fruits. Furthermore, humans might systematically manipulate the composition of edible insects to meet specific needs through pre-ingestive processing, such as cooking and selective removal of body parts. We present data suggesting that in modern societies for which protein is the more limiting macronutrient, pre-ingestive processing of edible insects might serve to concentrate protein. It is likely, however, that the dietary significance of insects was different for Paleolithic hunteregatherers who were more limited in non-protein energy. Our conclusions are constrained by available data, but highlight the need for further studies, and suggest that our model provides an integrative framework for conceiving these studies. Ó 2014 Published by Elsevier Ltd. Keywords: Human insectivory Human entomophagy Nutritional ecology Human diet Nutritional geometry Protein Pre-ingestive processing Introduction That insects play a significant, but variable, role in the diets of many contemporary human populations is unquestionable (Raubenheimer and Rothman, 2013), and the same is likely true in the early human diet (McGrew, 2001). Indeed, a review of huntere gatherer diets by Kaplan et al. (2000) indicates that invertebrates such as insects account for up to 20% of ingested calories in some traditional cultures. But what nutritional roles do insects and other invertebrates play in the human diet? It is commonly assumed that they fulfill a role equivalent to the more conventional vertebratederived meats, and compositional analyses of insects seem to * Corresponding author. E-mail address: david.raubenheimer@sydney.edu.au (D. Raubenheimer). 1 Faculty of Veterinary Sciences, 308 JD Stewart Building B01, University of Sydney, Sydney, NSW 2006, Australia. support this. Studies have reported similarities between insects and conventional vertebrate-derived meats in energy and protein levels, fatty acid and amino acid profiles, as well as vitamin and mineral composition (Bukkens, 1997, 2005; McGrew, 2001; O’Malley and Power, 2012; Raubenheimer and Rothman, 2013). However, several factors lead us to believe that the nutritional role of insects in the human diet warrants deeper analysis. First, the phenomenal diversity of insects raises the question of whether they might play a variety of roles in the human diet. Insects are by a respectable margin the most phylogenetically and probably also ecologically diverse of the multi-cellular organisms (Price et al., 2011), and studies have suggested that both taxonomy (Raubenheimer and Rothman, 2013) and ecology (Fagan et al., 2002) are associated with compositional variance in insects. Many insects also have complex life cycles comprising several disparate developmental stages, which may differ significantly in structural and chemical properties (Rothman et al., 2014). http://dx.doi.org/10.1016/j.jhevol.2014.02.007 0047-2484/Ó 2014 Published by Elsevier Ltd. Please cite this article in press as: Raubenheimer, D., et al., Macronutrient contributions of insects to the diets of hunteregatherers: A geometric analysis, Journal of Human Evolution (2014), http://dx.doi.org/10.1016/j.jhevol.2014.02.007 2 D. Raubenheimer et al. / Journal of Human Evolution xxx (2014) 1e7 Additionally, the composition of insects may be systematically altered during pre-ingestive processing by humans (Raubenheimer and Rothman, 2013), further increasing the potential for nutritional diversity in this category of foods. Second, the decision of whether to eat a specific food is determined not only by the composition of that food, but a multitude of causal factors and their interactions including the relationships of the food with the nutritional requirements of the consumer (Oftedal, 1991), the consumer’s nutritional state, the compositions of alternative foods (Simpson and Raubenheimer, 2012) and, in some species, cultural norms (Turner and Thompson, 2013). Given the very large number of food types that comprise the human diet, and the variability of the human diet both within and across populations, it seems likely that insects may play a variety of nutritional roles, depending on the diet of the human group in question and the specific foods the insects are combined with in a particular instance. These and other complexities suggest that human dietary choices are best understood using integrative models that incorporate the multiple causal factors and illuminate their interactions (Story et al., 2008; Simpson and Raubenheimer, 2012). Human foraging and food choices are commonly modeled within the paradigm of optimal foraging theory (Belovsky, 1987; Winterhalder and Smith, 2000; Dusseldorp, 2012), in which the goal of foraging is assumed to be intake maximization subject to constraints (Illius et al., 2002). This approach has been criticized for circularity (Owen-Smith, 1996; Illius et al., 2002) and for uncritically assuming that one dietary component, usually energy, predominates in foraging over others (Raubenheimer et al., 2009). As an alternative, a geometric framework has been developed for modeling the complexities of nutrition (Raubenheimer and Simpson, 1993; Simpson and Raubenheimer, 1993, 2012; Raubenheimer et al., 2009). At the core of a geometric nutritional model is a two- or higher-dimensional nutrient space, where each dimension (axis) defines a nutrient of interest. The nutrient space provides a platform on which the various facets of animal nutrition (foods, diets, current nutritional state, nutrient requirements, etc.) can be defined in common, multi-component terms, and interrelated. This approach has provided new insight into many questions in nutritional ecology (reviewed in Simpson and Raubenheimer, 2012), as well as human nutrition (Simpson et al., 2003; Simpson and Raubenheimer, 2005; Gosby et al., 2011). Here we apply an approach from nutritional geometry, the right-angled mixture triangle (RMT) (Raubenheimer, 2011), to examine the possible roles of insects in the diets of human huntere gatherers. We do so by constructing a model to integrate data from the literature on the compositions of insects reported to be eaten by humans, published estimates of the macronutrient compositions of the diets of hunteregatherers, the compositions of foods other than insects, and recommended nutrient intakes for modern humans. In addition to assessing insects in hunteregatherer diets, we also consider the role of pre-ingestive processing of insects, for example by selectively removing body parts, in altering the balance of nutrients in a way that suggests a specific nutritional role in the diets of humans (Raubenheimer and Rothman, 2013). The data for this analysis come from three populations of contemporary human societies with proportionately low dietary protein intake (in Nigeria, Thailand and Mexico), and our hypothesis is that preingestive processing should serve to concentrate protein if insects are eaten primarily as a source of protein to complement a low protein diet. Given the limitations on available data, we have restricted our model to the proportional contributions of the macronutrients protein, lipids and available carbohydrates, although absolute intakes are clearly also important and micronutrients might also play a role. Our aims are, firstly, to establish how an integrative analysis of existing data might help to shed light on the role of insects in human macro-nutrition, and secondly to introduce a framework that might inspire the collection of data for refining and extending such analyses on the roles of insects and other foods in the diets of humans. Methods The right-angled mixture triangle The right-angled mixture triangle (RMT) is a graphical framework for exploring proportional three- or higher-dimensional compositional data and constructing integrative models in nutritional ecology (Fig. 1). Unlike conventional equilateral mixture triangles, which have three equal angles of 60 (Emmans, 1991), two of the axes in RMTs are orthogonal (i.e., at right-angles). This facilitates a hierarchical approach in which the individual effects of nutrients, the two-way interactions and three-way interactions are visually distinguished (Raubenheimer, 2011). Some of the key properties of these models are: i. In the general case, model selection involves mathematically isolating stipulated food components of interest so that the relationships among these are not confounded by other components of the mixture. For example, consider an analysis in which the mass composition of an insect was measured as 4% non-structural carbohydrate (Cho), 30% fat (F), 40% protein (P) and 20% chitin (Chi), with the residue of unidentified components contributing 6% (100% [4 þ 30 þ 40 þ 20] ¼ 6). If the model is formulated to explore the relationships among protein (P), fat (F), Figure 1. Right-angled mixture triangles represent three components in twodimensional plots. In this example, each point depicts a mixture of protein (P), fat (F) and chitin (Chi). By convention, the third, implicit, variable (in this case Chi) is denoted in square brackets (Raubenheimer, 2011). The % P increases along the X-axis and % F along the Y-axis. The P:F balance of a mixture is given by the slope of the radial that connects the point to the origin. The % Chi decreases along each radial with distance from the origin. The negatively sloped diagonals are chitin isolines, such that any point falling on the same isoline has the same % Chi (denoted by the numbers in square brackets). For example, mixtures i. and ii. have the same P:F ratio, which is lower than the P:F ratio of iii., and ii. has a higher concentration of Chi than i. and iii. Please cite this article in press as: Raubenheimer, D., et al., Macronutrient contributions of insects to the diets of hunteregatherers: A geometric analysis, Journal of Human Evolution (2014), http://dx.doi.org/10.1016/j.jhevol.2014.02.007 D. Raubenheimer et al. / Journal of Human Evolution xxx (2014) 1e7 and chitin (Chi) (e.g., Fig. 1), then each of these components would be expressed as a mass percentage of the sum of the three rather than expressing each as a proportion of the total. Thus, P in the sample would be expressed as P/ (Chi þ F þ P) 100 ¼ 40/(20 þ 30þ40) ¼ 44.4%, F would be expressed as 30/(20 þ 30 þ 40) ¼ 33.3%, and Chi would be expressed as 20/(20 þ 30 þ 40) ¼ 22.2%. This excludes from the model Cho and R, ensuring that the relationships among the focal components are not confounded. In the specific case where macronutrients (P, F and Cho) are modeled and expressed in energy units, these model components are automatically isolated because they are usually the only contributors to dietary energy (i.e., P þ F þ Cho ¼ 100%). An exception would be if alcohol comprised a significant proportion of energy intake (Yeomans, 2010), in which case P, F and Cho could not be expressed as a percentage of total energy intake but as a percentage of energy contributed by P þ F þ Cho. ii. A powerful property of RMTs is that they enable n-dimensional mixtures to be represented in n 1 dimensional plots (Fig. 1). This is because in a model investigating, say, three components, once the first two are stipulated, the value of the third component is implicit as the difference between 100% and the sum of the other two. Thus, in the above example, the model is constructed such that Chi þ F þ P ¼ 100%, therefore Chi ¼ 100% (P þ F) ¼ 100% (44.4 þ 33.3) ¼ 22.3%. Geometrically, this means that if P is plotted against F then the position of the point will reflect not only P and F, but implicitly also Chi (Fig. 1). In general, the values of P and F increase along their respective axes, and the third component (here, Chi) increases as the city block distance (i.e., the sum of X þ Y) from the origin decreases. The Chi axis can thus be graphically expressed as a series of negatively sloped diagonal lines representing different values for the sum of P and F (i.e., with slope of 1), where each diagonal intersects the X and Y axes at the point Chi ¼ 100% (X þ Y). For example, in Fig. 1, mixtures i and iii both fall on the negatively sloped line that intersects the X and Y axes at 80%, indicating that they have a Chi concentration of 100 80% ¼ 20%; by the same reasoning, point ii. has a Chi concentration of 70%. iii. RMTs provide a framework within which key facets of nutritional biology can be integrated (Raubenheimer, 2011). These might include foods, diets (i.e., the nutrient gains resulting from eating combinations of foods), and nutrient needs, expressed either as a single point or as a multivariate range (Fig. 2). Dietary macronutrient compositions To increase the generality of our model, we sought from the literature estimates of the likely range of diets eaten by huntere gatherers in general rather than the diet of any particular huntere gatherer group. For this we used the empirically-parameterized models of Eaton et al. (1997), Cordain et al. (2000) and Kuipers et al. (2010). Eaton et al. (1997) reconstructed an ‘average’ Paleolithic diet, a description they qualify as being analogous to the ‘average’ American diet, based on nutritional data from an extensive list of 321 game and wild vegetable items. Their model assumed a savannah-type diet in which animals were consumed non-selectively (i.e., implying that all of the available organs were eaten). Cordain et al. (2000) refined this model, assuming a savannah diet with a range of prey body compositions (% body fat ranging from 2.5 to 20.0% by energy) and multiple plant-animal 3 Figure 2. Illustration of the use RMTs to integrate various facets of human nutrition. The macronutrient ratios recommended in the human diet for reducing the risk of chronic disease is commonly expressed as Acceptable Macronutrient Distribution Ranges (AMDR) for protein (10e35% of energy), fat (20e35%) and carbohydrate (45e 65%) (Food and Nutrition Board, 2005). In RMTs, each of these recommendations can be delineated using constraint lines (the gray dotted lines), where the conjunction of the three constraints yields an area representing the integrated recommendation for all three macronutrients (the shaded region). Also plotted are the proportional macronutrient compositions of four foods. One of these, Chinese broccoli, falls within the integrated AMDR region and is thus balanced with respect to the recommended macronutrient intake of humans. In contrast, cashew nuts are too high in lipids, oysters too high in protein and wild rice too high in carbohydrates. However, by combining these three imbalanced foods, a diet can be composed with a composition that falls anywhere within the triangle connecting the foods, the exact position depending on the relative proportions of the three eaten. In this way a balanced diet can be obtained through the mixing of foods that are individually imbalanced, such foods being nutritionally complementary with respect to each other. If two foods are combined, the composition of the resulting diet will fall on the line connecting the foods. Thus, humans can obtain a macronutrient-balanced diet (i.e., compose a diet that falls within the AMDR region) by mixing wild rice and cashew nuts; these are nutritionally complementary. By contrast, the line connecting cashew nuts and oysters does not lead to the AMDR region, showing that these on their own are not a complementary combination. Food compositions from U.S. Department of Agriculture (2012). subsistence ratios. The likely range of plant-animal subsistence ratios was obtained from data on the diets of 229 historical huntere gatherer societies (Gray, 1999). The most comprehensive estimate of Paleolithic diets was that provided by Kuipers et al. (2010). These authors combined information from databases of the compositions of predominately East African plants and animals (including both mammalian meat and fish) with a likely range of plant/animal subsistence ratios of 70/30e30/70 and two pathophysiological constraints to estimate the medians and ranges of likely macronutrient intakes under four Paleolithic foraging strategies. The pathophysiological constraints were a presumed maximal protein intake of 35% energy, to avoid exceeding the maximum capacity of the liver to convert excess nitrogen into urea, and a minimal linoleic acid intake of above 1% energy to prevent linoleic acid deficiency. The four foraging strategies were: Model 1. Selective hunteregatherer/scavenger savannah diet. This is composed of plant and animals foods widely available on Please cite this article in press as: Raubenheimer, D., et al., Macronutrient contributions of insects to the diets of hunteregatherers: A geometric analysis, Journal of Human Evolution (2014), http://dx.doi.org/10.1016/j.jhevol.2014.02.007 4 D. Raubenheimer et al. / Journal of Human Evolution xxx (2014) 1e7 the savannah, excluding aquatic foods. In this strategy, body components of prey animals are selectively eaten, including skeletal muscle, marrow and brain but not the liver or adipose tissue. The proportions of muscle, marrow and brain in the diet were varied across values considered to be realistic. Model 2. Non-selective hunteregatherer/scavenger savannah/aquatic diet including plant and animal foods available in the savannah and aquatic environments. This model assumed that all edible components of animals were non-selectively consumed, with mammal/fish intakes varying between 100/ 0 and 0/100 of the animal component of the diet. Model 3. Selective hunteregatherer/scavenger savannah/ aquatic diet. This model is equivalent to Model 2, except that muscle, bone marrow and brain are selectively scavenged from savannah animals. The proportion of meat intake contributed by muscle was varied between 0 and 50%, bone marrow 40e80% and brain 10e30% (by energy). Model 4. Non-selective hunteregatherer/scavenger aquatic diet composed of plants and fish, but not mammalian meat, with the fat content of fish varied between the range of 2.5 and 10.0% energy (determined from a database of compositions for East African fish species). For comparison, we also plotted the estimated macronutrient compositions of the national diet in the year 2000 of a selected modern insect-eating country from the Americas (Mexico), Africa (Nigeria) and Asia (Thailand) (data from the food balance sheets of FAOSTAT, 2012). As discussed in the Introduction and further below, these examples were selected because they represent countries for which data were available both on the gross composition of edible insects and their ‘as eaten’ composition (i.e., following preingestive processing), allowing us to test whether processing systematically alters their composition in a way that is consistent with a role in balancing the macronutrient ratio of the diet. The data also serve to illustrate the contrast in the composition of the diets of hunteregatherers and some modern human populations affected by the nutrition transition (Drewnowski and Popkin, 1997). Macronutrient compositions of representative foods other than insects were obtained from the USDA National Nutrient Database for Standard Reference (U.S. Department of Agriculture, Agricultural Research Service, 2012). Selection was designed to cover a range of dietary categories (e.g., eggs, seeds, honey, pulses, tubers, leafy vegetables, nuts, mammalian meats, bird meat, fish, shellfish; SOM Table 2). Since our interest is primarily in the pre-agricultural human diet, we attempted where possible to include in the analysis foods that would have been unaltered or little altered by agriculture and industrialization; thus, only wild meats and where possible wild fruits and vegetables were included. However, in some cases wild equivalents were not available, and we therefore included also examples of farmed fruits (e.g., banana) and vegetables (e.g., carrots). Effect of pre-ingestive processing on insect compositions Raubenheimer and Rothman (2013) presented data suggesting that protein and fat concentration were higher in insect samples reported as representing the form in which the insect is actually eaten (e.g., following the selective removal of parts considered inedible, or heating) than those where the insect was analyzed whole and raw. That analysis suggests that a function of preingestive processing of insects by humans might be to increase the macronutrient concentrations. Here we used the data on the protein-lipid-carbohydrate composition of insects to examine whether such pre-ingestive processing by modern humans might also systematically alter the macronutrient balance in edible insects. We excluded from the analysis any instances where processing involved combining insects with exogenous sources of macronutrients (e.g., oil from frying, Yhoung-aree et al., 1997). For our comparison, we identified 19 instances of processed samples, and compared these with 63 that were measured as raw, whole insects. Results and discussion Diet macronutrient compositions Compositions of insects and other foods We collated data from the literature on the macronutrient compositions of 164 insects reported as being eaten by humans, all of which had values presented for the protein and fat content of the samples. However, because of the importance of carbohydrates in the human diet, and the fact that insects might contain significant concentrations of carbohydrates (Raubenheimer and Rothman, 2013), we selected for analysis only that subset for which nonstructural carbohydrates were also reported (n ¼ 82; Supplementary Online Material [SOM] Table 1) either as direct measures or calculated by difference (Raubenheimer and Rothman, 2013; Rothman et al., 2014). We decided not to treat insect species as a primary unit in the analysis, because the composition of insects can vary substantially not only with phylogeny but also with such factors such as life stage and feeding history (Bukkens, 1997; Raubenheimer et al., 2007), and our goal was to evaluate this diversity in relation to the human diet. Omitting independent measures of the same species, or averaging them, would artificially reduce this variation. Additionally, the information presented in the source literature on the history, life stage, and even the species was often incomplete, precluding the possibility of including these as factors in an analysis. We therefore regarded each reported composition as a nominally independent instance of edible insects. However, where these were presented in the parent publication as replicate samples of the same insect, we used the mean of the replicates in our analysis. The composition of the ‘average’ Paleolithic diet estimated by the model of Eaton et al. (1997) is shown in Fig. 3, together with estimated diets in the year 2000 for Mexico, Nigeria and Thailand. Also plotted is the range of Paleolithic diets estimated by the model of Cordain et al. (2000), and the ranges and median diets for foraging strategies 1e4 of Kuipers et al. (2010). For reference we have also plotted the macronutrient intakes recommended for humans to reduce the risk of chronic diseases including cancers, diabetes and atherosclerosis (Acceptable Macronutrient Distribution Ranges ¼ AMDR, Food and Nutrition Board, 2005). The areas for recommended and estimated nutrient intakes are derived as the conjunction of the ranges for separate nutrients, as shown in Fig. 2. Also shown is the region within the nutrient space corresponding with a diet that exceeds the presumed maximum capacity of the liver to convert excess nitrogen into urea (35% of energy from protein). This constraint defines what is assumed to be the upper limit to estimates of the protein content of the diets of human foragers (Kuipers et al., 2010). Food macronutrient compositions In Fig. 4, we have added to the model the protein:fat:carbohydrate composition of the 82 samples of insects, together with a range of foods selected to be approximately equivalent to other components in the diets of foraging humans. Rather than show the diet models separately as in Fig. 3, for simplicity we show in Fig. 4 Please cite this article in press as: Raubenheimer, D., et al., Macronutrient contributions of insects to the diets of hunteregatherers: A geometric analysis, Journal of Human Evolution (2014), http://dx.doi.org/10.1016/j.jhevol.2014.02.007 D. Raubenheimer et al. / Journal of Human Evolution xxx (2014) 1e7 Figure 3. Estimated proportional macronutrient intakes (%protein:fat:carbohydrate, by energy) of Palaeolithic hunteregatherers compared with the recommended macronutrient distributions (AMDR) for modern humans (yellow polygon) as derived in Figure 2. The blue, red and green polygons show estimated ranges of intakes under four different foraging models, and the color-coded ‘X’s the estimated median under each model (Kuipers et al., 2010 see text for description of the models). The brokenlined black polygon shows the estimated range of intakes from the model of Cordain et al. (2000), and the black ‘x’ the estimated ‘average Palaeolithic diet’ of Eaton et al. (1997). The pink region shows a range of dietary compositions that are not possible for humans, owing to constraints on the maximum rate at which protein can be physiologically processed. Also shown are the average diet compositions in the year 2000 for Mexico (M), Nigeria (N) and Thailand (T) (data from the food balance tables of FAO, 2012). (For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.) only the combined range of diets estimated by Cordain et al. (2000) and all four models of Kuipers et al. (2010), as well as the range spanned by the median diets from the four models of Kuipers et al. (2010) (the dark polygon in the area labeled HG). Also shown is the area in composition space spanned by the mammal-derived meats in our sample, including skeletal muscle, brain, marrow and liver, and that spanned by the insect samples. An important point to note from Fig. 4 is the comparatively large range of insect compositions compared with mammal-derived meat. The distribution is concentrated in the band between 0% and 20% carbohydrate, the latter being the lower limit of carbohydrate intake predicted by Kuipers et al. (2010) for the diets of hunteregatherers. However, some insect samples had carbohydrate content that fell within the predicted macronutrient distribution range for hunteregatherers, and others extended beyond it into the AMDR region. One sample, the honey ant (on the lower left hand side of the plot), had a carbohydrate concentration that was considerably higher (81%) and protein and fat that were lower than recommended for maintaining human health (5% and 14%, respectively). By contrast, the range of protein:fat ratios spanned by insects and mammal-derived meats was similar, but only if the high-fat marrow is included in the latter. Compared with skeletal muscle, brain, too, contained relatively high proportions of fat. However, considering that brain constitutes only approximately 0.14% and marrow 0.30% of the mass of typical prey species (Kuipers et al., 2010; SOM Table 2), the contribution of these tissues to the overall composition of mammalian prey is minor. This compositional variation suggests that insects are potentially a more versatile component of the human diet than are red meats, fish or shellfish: some are high in protein, some in lipids, and 5 Figure 4. Geometric model integrating the protein:fat:carbohydrate composition (% energy) of insects with examples of other components of the human diet, estimated macronutrient intakes of hunteregatherers, and recommended macronutrient intake ranges for modern humans (AMDR). The green area labeled HG shows the estimated range of macronutrient intakes spanned by all four models of Kuipers et al. (2010), and the blue polygon shows the range delineated by the estimated median intakes from the four models. M, N and T represent the average diet compositions in the year 2000 for Mexico (M), Nigeria (N) and Thailand (T) (data from the food balance tables of FAO, 2012). Also shown are the range of dietary compositions that are attainable by eating insects (solid black-lined polygon) and vertebrate-derived meats (red polygon), including muscle, brain, liver and marrow. (For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.) carbohydrates span a range of values. Consequently, insects could potentially play a variety of roles in the human diet, including samples with macronutrient ratios similar to fish or red meat, shellfish, nuts, vegetables, and pulses. One sample, honey pot ant, even fell among the fruits, and could establish complementary relationships, as illustrated in Fig. 2, with a wide range of other foods in the human diet. Furthermore, some insects on their own had compositions that fell within the estimated macronutrient range of the diets of hunteregatherers, and others fell within the AMDR region and are by this definition balanced with respect to human macronutrient requirements. We note, however, that these conclusions rest on the assumption that macronutrient values for insects reported in the literature are reliable, whereas the inconsistency in analytical methods suggests that there is room for improvement (Raubenheimer and Rothman, 2013). On the other hand, considering that our analysis included only 82 samples of the 1681 species of insects known to be eaten by humans (and the true value might exceed 2000) (Paoletti and Dreon, 2005), we can justifiably assume that our analysis has under-estimated the diversity of insect compositions. It is quite likely that the variety of insects available to human foragers in some pre-agricultural habitats would have been greater yet. Pre-ingestive alteration of insect compositions Fig. 5 shows our examination of whether pre-ingestive processing (e.g., selective removal of body parts) by modern humans systematically alters the composition of edible insects in a way that is consistent with the hypothesis that processing plays a role in diet balancing. The analysis indicated that the processed samples had significantly higher proportional protein (t(1,80) ¼ 2.781, P ¼ 0.007) Please cite this article in press as: Raubenheimer, D., et al., Macronutrient contributions of insects to the diets of hunteregatherers: A geometric analysis, Journal of Human Evolution (2014), http://dx.doi.org/10.1016/j.jhevol.2014.02.007 6 D. Raubenheimer et al. / Journal of Human Evolution xxx (2014) 1e7 proportional protein intakes of Paleolithic hunteregatherers, which exceed human AMDRs (Fig. 3), indicate, however, that fats and carbohydrates, rather than protein, were limiting in those populations. This predicts that Paleolithic hunteregatherers would have valued most highly insects with a proportionally high fat and carbohydrate content, and pre-ingestive processing involved methods that specifically retained those nutrients or decreased protein. The analysis of Raubenheimer and Rothman (2013) indicates that pre-ingestive processing might not only alter the macronutrient ratios, but also increase the overall concentration of fat and protein. An interesting question is whether pre-ingestive processing of insects might also increase the digestibility of nutrients. Studies have shown that both thermal and nonthermal methods of processing foods can alter the availability of both energy and specific macronutrients (Carmody et al., 2011). Conclusions Figure 5. Comparison of the proportional protein:fat:carbohydrate composition (% energy) of insects eaten by humans that are specifically reported in the literature as having been analyzed in the form that they are actually eaten (e.g., following selective removal of parts considered inedible) (solid squares) and those analyzed as the whole, raw state (hollow circles). and lower proportional fat content (t(1,44.4) ¼ 3.33, P ¼ 0.002, equal variances not assumed), with a higher protein:fat ratio (t(1,80) ¼ 2.193, P ¼ 0.031). Processing had no effect on the concentration of non-structural carbohydrates (t(1,80) ¼ 0.009, P ¼ 0.993). This analysis suggests that pre-ingestive processing of insects by modern humans in Mexico, Nigeria and Thailand might increase the density of protein and decrease the fat content. One likely mechanism for this is that fat is lost when insects are cooked using dry methods such as roasting, smoking, baking or barbecuing (Yhoung-aree et al., 1997). However, if this were the case then both protein and carbohydrate would be concentrated relative to fat, whereas our analysis showed no change in the concentration of carbohydrate thus suggesting that other factors are likely involved. The data are clearly inadequate to generalize, and it is probable that a variety of processing methods are used to achieve different nutritional outcomes. This analysis has, nonetheless, suggested that pre-ingestive processing of insects is associated with macronutrient balance, and that processing by modern humans in Mexico, Thailand and Nigeria might specifically concentrate the protein content of edible insects. This is consistent with the observation that the market price of protein is higher than fat or carbohydrate (Brooks et al., 2010), and thus protein is in general the most limiting macronutrient in many countries, especially with the rise in availability of cheap cooking oils (Popkin et al., 2012). Fig. 3 shows that all three countries in our analysis did, indeed, have proportionately low dietary protein. Other indications that insects are valued for their protein content in such countries are that a high fat content might lower the market value of insects (Agbidye et al., 2009), and insects may be specifically pierced to reduce their fat content before cooking (Dué et al., 2009). It is, of course, more difficult to evaluate the effect of preingestive processing of insects in Paleolithic hunteregatherers, but the above analysis provides a precedent suggesting that hunteregatherers might, likewise, pre-process edible insects specifically to alter their nutritional composition. The high Our analysis suggests that it is an oversimplification to consider insects as equivalent to vertebrate-derived meats in the diets of humans, even if the different edible components (skeletal muscle, liver, brain) are considered separately. Insects vary widely in their macronutrient composition, and might play a variety of roles in complementary associations with other components of the human diet. It is widely accepted that in modern societies insects are valued as a source of protein, and our comparison of pre-ingestive processing of insects is consistent with this. This is also consistent with the low proportional dietary protein content in the diets of many contemporary human societies that eat insects, and the relatively high cost of protein. However, our predictions differ for pre-agricultural societies, for which non-protein energy was more limiting than protein. For them, insects could equally have been targeted as a source of fat and carbohydrate to complement the high protein content of many conventional meats, giving rise to the prediction that methods of pre-ingestive processing might have been chosen to reduce the proportional protein content of insects. Our analysis is, however, based on limited data. Of the 164 compositions of human-eaten insects that we recovered from the literature, only 82 reported data for non-structural carbohydrates. The estimates were variable, and based on inconsistent methodologies (Raubenheimer and Rothman, 2013), but the data clearly indicate that it is worth analyzing carbohydrates as a nutritional component of insects. Even if all reported values are true, this sample size is too small to support robust statistical analyses in which important predictor variables such as phylogeny, developmental stage and rearing history are taken into account, and furthermore such details are incompletely reported in the literature. Further, micronutrients might also play a role in the selection of edible insects (Bukkens, 1997), but this is difficult to test given the extreme paucity of data on their micronutrient content. Finally, our analysis is based on proportional macronutrient compositions of human foods, from which predictions can be derived of the composition of the diet that could potentially result from combining these foods (as illustrated in Fig. 2). However, the composition of the actual diets composed by combining various foods would also be influenced by the relative availability of different foods. An important goal is thus to seek information on the quantitative contribution of insects to the diets of huntere gatherers, of the sort presented by Kaplan et al. (2000). We believe that such data, combined with multi-dimensional analyses of the nutrient content of foods and diets, will help to progress the understanding the roles of insects and other invertebrates in the diets of humans. 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Please cite this article in press as: Raubenheimer, D., et al., Macronutrient contributions of insects to the diets of hunteregatherers: A geometric analysis, Journal of Human Evolution (2014), http://dx.doi.org/10.1016/j.jhevol.2014.02.007