Across annual diets, the closed geometric mean proportion of macronutrient energy was 31.4% protein, 34.7% carbohydrate, and 33.9% lipid, which lies near to the mixture triangle's barycentre (Figure 1). The arithmetic mean (±SD) proportions of macronutrients were as follows: 31.0% (±10.7) protein; 36.1% (±14.9) carbohydrate; and 32.8% (±9.5) lipid. Thus, differences between the compositional and arithmetic means were relatively small, being 1.4% for carbohydrate, 1.1% for lipid, and 0.4% for protein.