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--- production_activities_as_the_core [2019/12/12 07:50] – 134.110.7.7
+++ production_activities_as_the_core [2022/11/07 10:23] (current) – external edit 127.0.0.1
@@ Line 30: / Line 30: @@
 The three basic identities linking the different elements of the data base are expressed in mathematical terms as following. The first equation implies that total production or total input use (code in the data base: GROF or gross production/gross input use at farm level) can be derived from the input and output coefficients and the activity levels (LEVL):
-{{:equation_01.png?nolink|}}
+\begin{equation}
+GROF_j = \sum_j{LEVL_j \cdot IO_j}
+\end{equation}
 The second type of identities refers to the farm and market balances:
-{{::equation_02.png?nolink|}}
+\begin{align}
+\begin{split}
+GROF_{io}-SEDF_{io}-LOSF_{io}-INTF_{io} &=NETF_{io}\\
+NETF+IMPT_{io} &=EXPT_{io}+STCM_{io}\\
+&\quad+FEDM_{io}+LOSM_{io}\\
+&\quad+SEDM_{io}+HCOM_{io}\\
+&\quad+INDM_{io}+PRCM_{io}\\
+&\quad+BIOF_{io}
+\end{split}
+\end{align}
 The farm balance positions are seed use (SEDF) and losses (LOSF) on farm (only reported for cereals) and internal use on farm (INTF, only reported for manure and young animals). NETF or net trade on farm is hence equal to valued production/input use and establishes the link between the market and the agricultural production activity. Adding imports (IMPT) to NETF defines total resources, which must be equal to exports (EXPT), stock changes (STCM), feed use on market (FEDM), losses on market (LOSM), seed use on market (SEDM), human consumption (HCOM), industrial use (INDM), processing (PRCM), and use for biofuel production (BIOF).
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 The third identity defines the value of the EAA in producer prices (EAAP) as sold production or purchased input use (NETF) in physical terms multiplied with the unit valued price (UVAP):
-{{::equation_03.png?nolink|}}
+\begin{equation}
+EAAP_{io}=UVAP_{io}NETF_{io}
+\end{equation}
 The following table shows the elements of the CAPRI data base as they have been arranged in the tables of the data base.
@@ Line 46: / Line 63: @@
 **Table 2: Main elements of the CAPRI data base**
+^          ^ Activities      ^ Farm- and market balances ^ Prices    ^Positionsform from the EAA    ^
+^ Outputs  | Output coefficients | Production, seed and feed use, other internal use, losses, stock changes, exports and imports, human consumption, processing | Unit value prices from the EAA with and without subsidies and taxes | Value of outputs with or without subsidies and taxes linked to production |
+^ Inputs | Input coefficients | Purchases, internal deliveries | Unit value prices from the EAA with and without subsidies and taxes | Value of inputs with or without subsidies and taxes link to input use |
+^ Income indicators | Revenues, costs, Gross Value Added, premiums |  |  | Total revenues, costs, gross value added, subsidies, taxes |
+^ Activity levels | Hectares, slaughtered heads or herd sizes |  |  |  |
+^ Secondary products |  | Marketable production, losses, stock changes, exports and imports, human consumption, processing | Consumer prices |  |