Emissions

$LaTeX code: E(x,y,m,d,h)= \Sigma_{c\in\mathcal{C}(x,y)} \Sigma_{s=1}^{10} \{ \left[ \left( E_T(x,y,s,c)\cdot\frac{F_M(s,c,m)}{12}\cdot\frac{1}{\mbox{nod}(m)} \right) F_D(s,c,d) \right] \frac{F_H(s,h)}{24} \}$

where:

$LaTeX code: x$ = grid cell longitude
$LaTeX code: y$ = grid cell latitude
$LaTeX code: m$ = month
$LaTeX code: d$ = day of week
$LaTeX code: h$ = hour
$LaTeX code: s$ = sector (or snap)
$LaTeX code: c$ = country
$LaTeX code: \mathcal{C}(x,y)$ = ensemble of countries at given grid cell $LaTeX code: (x,y)$
$LaTeX code: E_T$ = total emission at a given grid cell, for a givem sector, for a given country
$LaTeX code: \frac{F_M(s,c,m)}{12}$ = monthly factor
$LaTeX code: \mbox{nod}(m)$ = number of days in month
$LaTeX code: \frac{F_D(s,c,m)}{7}$ = monthly factor
$LaTeX code: \frac{F_H(s,m)}{24}$ = monthly factor