Fig. 3.

Comparison at country-scale between the two estimates of P in manure applied on cropland + grassland used in our approach ($f{P}_{manu,1}^{out\to x-tot}$ in and $f{P}_{manu,2}^{out\to x-tot}$). Temporal country-scale average of Demay et al.⁹ (red curve) is used to scale the country-scale average of $f{P}_{manu,2}^{out\to x-tot}$ while the year-to-year variability of $f{P}_{manu,2}^{out\to x-tot}$ follows the one of $f{P}_{manu,1}^{out\to x-tot}$. The mean of our two estimates (subscript ‘mean’) is plotted in black. Independent estimate based on a livestock budget ($f{P}_{manu,indirect}$) is also plotted in orange. All fluxes are expressed in kgP (ha of cropland + grassland)⁻¹. Estimate 1 (respectively estimate 2) corresponds to the min (respectively the max) value for all grid-cells within the country considered. “World” in this figure corresponds to the sum of all countries considered in both our estimates and Demay et al.⁹ and thus excludes few countries not available in Demay et al.⁹. The number in the left-top corner of each panel corresponds to the root mean square error (in kgP (ha of cropland + grassland)⁻¹) between orange and black curves for years in common.