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input_allocation [2020/02/25 09:57] – [Input allocation for labour] matszinput_allocation [2022/11/07 10:23] (current) – external edit 127.0.0.1
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 **Figure 5: The cattle chain** **Figure 5: The cattle chain**
  
-{{:figure_5.png?600|}}+{{:figure_5.png?600|}} \\ Source: CAPRI Modelling System
  
 Accordingly, each raising and fattening process takes exactly one young animal on the input side. The raising processes produce exactly one animal on the output side which is one year older. The output of calves per cow, piglets per sow, lambs per mother sheep or mother goat is derived ex post, e.g. simultaneously from the number of cows in t-1, the number of slaughtered bulls and heifers and replaced in t+1 which determine the level of the raising processes in t and number of slaughtered calves in t. The herd flow models for pig, sheep and goat and poultry are similar, but less complex, as all interactions happen in the same year, and no specific raising processes are introduced. Accordingly, each raising and fattening process takes exactly one young animal on the input side. The raising processes produce exactly one animal on the output side which is one year older. The output of calves per cow, piglets per sow, lambs per mother sheep or mother goat is derived ex post, e.g. simultaneously from the number of cows in t-1, the number of slaughtered bulls and heifers and replaced in t+1 which determine the level of the raising processes in t and number of slaughtered calves in t. The herd flow models for pig, sheep and goat and poultry are similar, but less complex, as all interactions happen in the same year, and no specific raising processes are introduced.
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 |GROFYCOW| Numer of heifers raised to young cows| 235,45 |227,16 |229,4| |GROFYCOW| Numer of heifers raised to young cows| 235,45 |227,16 |229,4|
 |HEIRLEVL| Activity level of the heifers raising process |235,45 |227,16 |229,4| |HEIRLEVL| Activity level of the heifers raising process |235,45 |227,16 |229,4|
 + \\ Source: CAPRI Modelling System
  
  
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 |Bull fattening (BULF) |BULL: 20% lower meat output, variable inputs besides feed an young animals at 80% of average |BULH: 20% higher meat output, variable inputs besides feed an young animals at 120% of average| |Bull fattening (BULF) |BULL: 20% lower meat output, variable inputs besides feed an young animals at 80% of average |BULH: 20% higher meat output, variable inputs besides feed an young animals at 120% of average|
 |Heifers fattening (HEIF)| HEIL: 20% lower meat output, variable inputs besides feed an young animals at 80% of average |HEIH: 20% higher meat output, variable inputs besides feed an young animals at 120% of average| |Heifers fattening (HEIF)| HEIL: 20% lower meat output, variable inputs besides feed an young animals at 80% of average |HEIH: 20% higher meat output, variable inputs besides feed an young animals at 120% of average|
 + \\ Source: CAPRI Modelling System
  
 ====Input allocation for feed==== ====Input allocation for feed====
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 Wide supports for the Gross Value Added of the fodder activities mirror the problem of finding good internal prices but also the dubious data quality both of fodder output as reported in statistics and the value attached to it in the EAA. The wide supports allow for negative Gross Value Added, which may certainly occur in certain years depending on realised yields. In order to exclude such estimation outcomes as far as possible an additional constraint is introduced:  Wide supports for the Gross Value Added of the fodder activities mirror the problem of finding good internal prices but also the dubious data quality both of fodder output as reported in statistics and the value attached to it in the EAA. The wide supports allow for negative Gross Value Added, which may certainly occur in certain years depending on realised yields. In order to exclude such estimation outcomes as far as possible an additional constraint is introduced: 
- 
-FIXME 
  
 \begin{equation} \begin{equation}
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 | |FEDAGGR_ |aggregate to roughage, concentarte feed, etc|Defines feed aggregates from single bulks FEED| | |FEDAGGR_ |aggregate to roughage, concentarte feed, etc|Defines feed aggregates from single bulks FEED|
 | |FeedAggrShare_ |Calculate share of feed aggregates (roughage, concentrates, other)|shares of roughage and concentrate feed enter objective| | |FeedAggrShare_ |Calculate share of feed aggregates (roughage, concentrates, other)|shares of roughage and concentrate feed enter objective|
-| |MeanFeedTotal_ |Calculates total feed intake in DM per animal|Part of revised objective function|+| |MeanFeedTotal_ |Calculates total feed intake in DM per animal|Part of revised objective function| \\ Source: own compilation
  
 The four additional equations developed in the new feed allocation procedure are described in more detail in the following. The four additional equations developed in the new feed allocation procedure are described in more detail in the following.
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 ^FeedCons| | | | | | | |  X  |  X  |  X  |  X  | |  ^FeedCons| | | | | | | |  X  |  X  |  X  |  X  | |
 ^FeedOth| | | | |  X  |  X  |  X  | | | | |  X  | ^FeedOth| | | | |  X  |  X  |  X  | | | | |  X  |
-^FeedTotal|  X  |  X  |  X  |  X  |  X  |  X  |  X  |  X  |  X  |  X  |  X  |  X  |+^FeedTotal|  X  |  X  |  X  |  X  |  X  |  X  |  X  |  X  |  X  |  X  |  X  |  X  | \\ Source: own compilation
  
 __ FeedAggrShare_ __ __ FeedAggrShare_ __
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 {{:code_p_73.png?600|}} {{:code_p_73.png?600|}}
  
-This part of the objective functions tries to minimize the difference between the requirements calculated from the feed input coefficients (v_animReq) and the expected (mean) requirements (p_animReq) coming from literature. Due to the weighting with number of animals (v_actLevl) and expected requirements (p_animReq) the optimal solution tends to distribute over or under supply of nutrients relatively even over all activities and regions. It has been decided to attach an exponent smaller one to these weights which strongly pulls them towards unity (see: [...] FIXME (doppelstern) .1). This tends to give more weight to “less important” animal types compared with untransformed weights.+This part of the objective functions tries to minimize the difference between the requirements calculated from the feed input coefficients (v_animReq) and the expected (mean) requirements (p_animReq) coming from literature. Due to the weighting with number of animals (v_actLevl) and expected requirements (p_animReq) the optimal solution tends to distribute over or under supply of nutrients relatively even over all activities and regions. It has been decided to attach an exponent smaller one to these weights which strongly pulls them towards unity (see: [...] FIXME (section? .1). This tends to give more weight to “less important” animal types compared with untransformed weights.
  
 __Deviation of sub regional total feed intake from regional average__ __Deviation of sub regional total feed intake from regional average__
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 ^  SHGF  |  6.3   |  5.8   |  7   |  0.155  |  0.14  |  0.17  |   ^  SHGF  |  6.3   |  5.8   |  7   |  0.155  |  0.14  |  0.17  |  
 ^  HENS  |  8  |  7.8   |  8.2   |  0.18  |  0.14   |  0.2  |   ^  HENS  |  8  |  7.8   |  8.2   |  0.18  |  0.14   |  0.2  |  
-^  POUF  |  8  |  7.8   |  8.2   |  0.18  |  0.14  |  0.2  | +^  POUF  |  8  |  7.8   |  8.2   |  0.18  |  0.14  |  0.2  | \\
  
 __Shares of feed aggregates in total feed intake in DRMA __ __Shares of feed aggregates in total feed intake in DRMA __
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 ^  SHGF | |  0.3  | | 0.05  | ^  SHGF | |  0.3  | | 0.05  |
 ^  HENS | | | |  0.99  | ^  HENS | | | |  0.99  |
-^  POUF | | | |  0.99  |+^  POUF | | | |  0.99  |  \\ Source: own compilation
  
 For „other feed“ there are no lower bounds but rather low upper bounds: 10% for adult cattle, 5% for calves and sheep, 1% for pigs and 1E-6 (so near zero) for poultry.  For „other feed“ there are no lower bounds but rather low upper bounds: 10% for adult cattle, 5% for calves and sheep, 1% for pigs and 1E-6 (so near zero) for poultry. 
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 | | | |Nitrogen in ammonia, NOx, N2O and runoff losses from mineral fertiliser|  l  |  2.89  | | | | |Nitrogen in ammonia, NOx, N2O and runoff losses from mineral fertiliser|  l  |  2.89  |
 |  **TOTAL INPUT**  |  **e=a+b+c+d**  |  **162.768**  |  **TOTAL OUTPUT**  |  **n=f+k+l+m**  |  **103.92**  | |  **TOTAL INPUT**  |  **e=a+b+c+d**  |  **162.768**  |  **TOTAL OUTPUT**  |  **n=f+k+l+m**  |  **103.92**  |
-| | | |  **Nutrient losses at soil level (SURPLUS)**  |  **m=e-f-k-l**  |  **58.85**  |+| | | |  **Nutrient losses at soil level (SURPLUS)**  |  **m=e-f-k-l**  |  **58.85** \\ Source: CAPRI modelling system 
  
 The difference between nutrient inputs and outputs corresponds to the soil surplus. For nitrates the leaching is calculated as a fraction of the soil surplus, which is based on estimates from the MITERRA project, and depends on the soil type, the land use (grassland or cropland), the precipitation surplus, the average temperature and the carbon content in soils. For details see Velthof et al. 2007 “Development and application of the integrated nitrogen model MITERRA-EUROPE”. Alternatively, a version was developed which uses the leaching fractions from the official Greenhouse gas inventories of the member states. For phosphate, currently emissions (mainly superficial runoff) are not quantified.  The difference between nutrient inputs and outputs corresponds to the soil surplus. For nitrates the leaching is calculated as a fraction of the soil surplus, which is based on estimates from the MITERRA project, and depends on the soil type, the land use (grassland or cropland), the precipitation surplus, the average temperature and the carbon content in soils. For details see Velthof et al. 2007 “Development and application of the integrated nitrogen model MITERRA-EUROPE”. Alternatively, a version was developed which uses the leaching fractions from the official Greenhouse gas inventories of the member states. For phosphate, currently emissions (mainly superficial runoff) are not quantified. 
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 |**Cattle**|  2.0  |  5.5  | |**Cattle**|  2.0  |  5.5  |
 |**Swine**|  3.3  |  3.3  | |**Swine**|  3.3  |  3.3  |
-|**Poultry**|  6.3  |  5.1  | +|**Poultry**|  6.3  |  5.1  | \\ Source: Lufa von Weser-Ems, Stand April 1990, Naehrstoffanfall.
-Source:Lufa von Weser-Ems, Stand April 1990, Naehrstoffanfall.+
  
 These data are converted into typical pure nutrient emission at tail per day and kg live weight in order to apply them for the different type of animals. For cattle, it is assumed that one live stock unit (=500 kg) produces 18 m³ manure per year, so that the numbers in the table above are multiplied with 18 m³ and divided by (500 kg *365 days). These data are converted into typical pure nutrient emission at tail per day and kg live weight in order to apply them for the different type of animals. For cattle, it is assumed that one live stock unit (=500 kg) produces 18 m³ manure per year, so that the numbers in the table above are multiplied with 18 m³ and divided by (500 kg *365 days).
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 |N|0.0084| |N|0.0084|
 |P|0.004|  |P|0.004| 
-|K|0.0047| +|K|0.0047| \\ Source: RAUMIS Model [[http://www.agp.uni-bonn.de/agpo/rsrch/raumis_e.htm]]. 
-Source: RAUMIS Model [[http://www.agp.uni-bonn.de/agpo/rsrch/raumis_e.htm]]. FIXME+ FIXME
  
 The factors shown above for pigs are converted into a per day and live weight factor for sows by assuming a production of 5 m³ of manure per sow (200 kg sow) and 15 piglets at 10 kg over a period of 42 days. Consequently, the manure output of sows varies in the model with the number of piglets produced. The factors shown above for pigs are converted into a per day and live weight factor for sows by assuming a production of 5 m³ of manure per sow (200 kg sow) and 15 piglets at 10 kg over a period of 42 days. Consequently, the manure output of sows varies in the model with the number of piglets produced.
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 **Figure 6. Ex-post calibration of NPK balances and the ammonia module** **Figure 6. Ex-post calibration of NPK balances and the ammonia module**
  
-{{::figure_6.png?600|}}+{{::figure_6.png?600|}} \\ Source: CAPRI modelling system
  
 The following equations comprise together the cross-entropy estimator for the NPK (Fnut=N, P or K) balancing problem. Firstly, the purchases (NETTRD) of anorganic fertiliser for the regions must add up to the given inorganic fertiliser purchases at Member State level:  The following equations comprise together the cross-entropy estimator for the NPK (Fnut=N, P or K) balancing problem. Firstly, the purchases (NETTRD) of anorganic fertiliser for the regions must add up to the given inorganic fertiliser purchases at Member State level: 
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 **Figure 8: Carbon flows in the agricultural production process** **Figure 8: Carbon flows in the agricultural production process**
  
-{{:figure_8.png?600|}} \\ +{{:figure_8.png?600|}} \\ Source: Weiss and Leip (2016)
-Source: Weiss and Leip (2016)+
  
 In the following, we briefly describe the general methodology for the quantification of the carbon flows that are taken into account in the CAPRI approach. In the following, we briefly describe the general methodology for the quantification of the carbon flows that are taken into account in the CAPRI approach.
input_allocation.1582624643.txt.gz · Last modified: 2022/11/07 10:23 (external edit)

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