| Variable | Explanation |
|---|
| $q^{P \rightarrow T}_{pcomy}$ | Quantity of commodity $c$ from origin $o$ sold from producer $p$ to trader in time step $m$ of year $y$. |
| $\Delta^{I}_{piby}$ | Expansion of producer $p$'s capacity to procure input $i$ from block $b$, invested in year $y$. |
| $\Delta^{P}_{pcoy}$ | Expansion of producer $p$'s yearly capacity to produce commodity $c$ from origin $o$, invested in year $y$. |
| $q^{I}_{pibmy}$ | Quantity of input $i$ procured by producer $p$ each time step $m$ in year $y$, valid in block $b$. |
| $q^{T \leftarrow P}_{tncomy}$ | Quantity of commodity $c$ from origin $o$ acquired by trader $t$ in node $n$ during time step $m$ of year $y$. |
| $q^{T \rightarrow D}_{tncbomy}$ | Quantity of commodity $c$ from origin $o$ sold by trader $t$ to demand block $b$ in node $n$ during time step $m$ of year $y$. |
| $q^{T \rightarrow V}_{tncomy}$ | Quantity of commodity $c$ from origin $o$ sold by trader $t$ to converter in node $n$ during time step $m$ of year $y$. |
| $q^{T \leftarrow V}_{tncomy}$ | Quantity of commodity $c$ from origin $o$ sold to trader $t$ by converter in node $n$ during time step $m$ of year $y$. |
| $q^{T \rightarrow S}_{tncomy}$ | Quantity of commodity $c$ sold by trader $t$ to storage in node $n$ during time step $m$ of year $y$. |
| $q^{T \leftarrow S}_{tncomy}$ | Quantity of commodity $c$ sold to trader $t$ by storage in node $n$ during time step $m$ of year $y$. |
| $q^{T}_{tacomy}$ | Flow of commodity $c$ belonging to trader $t$ on arc $a$ during time step $m$ of year $y$. |
| $q^{V}_{vtcc'omy}$ | Commodity $c$ converted to $c'$ of origin $o$ by converter $v$ on behalf of trader $t$ during time step $m$ of year $y$. |
| $\Delta^{V}_{vcc'y}$ | Conversion capacity expansion from commodity $c$ to $c'$ of year $y$. |
| $\Delta^{RV}_{vrr'cc'y}$ | Conversion capacity repurposing from $rr'$ to $cc'$ during year $y$. |
| $q^{A}_{acmy}$ | Total flow of commodity $c$ on arc $a$ during time step $m$ of year $y$. |
| $\Delta^{A}_{acy}$ | Transport capacity expansion for commodity $c$ on arc $a$, invested in year $y$. |
| $\Delta^{RA}_{arcy}$ | Transport capacity repurposing from commodity $r$ to $c$ on arc $a$ in year $y$. |
| $q^{S}_{stcomy}$ | Total quantity of commodity $c$ from origin $o$ stored at the beginning of time step $m$ by storage system operator $s$ on behalf of trader $t$ in year $y$. |
| $q^{S_{in}}_{stcomy}$ | Quantity of commodity $c$ from origin $o$ injected into storage during time step $m$ by storage system operator $s$ on behalf of trader $t$ in year $y$. |
| $q^{S_{out}}_{stcomy}$ | Quantity of commodity $c$ from origin $o$ extracted from storage during time step $m$ by storage system operator $s$ on behalf of trader $t$ in year $y$. |
| $\Delta^{S}_{scy}$ | Storage capacity expansion for commodity $c$ by storage system operator $s$ in year $y$. |
| $\Delta^{RS}_{srcy}$ | Storage capacity repurposing from commodity $r$ to $c$ by storage system operator $s$ in year $y$. |
| $Q^{T \rightarrow D}_{ncbmy}$ | Aggregate supply of commodity $c$ to block $b$ in node $n$. |