====================================================
Final status of Equations (in decreasing size order)
====================================================
      Equation name   |   Size     | Status of equation
----------------------|------------|--------------------
 E_VCONS              |         68 |In condensed system
 E_QCONS              |         68 |In condensed system
 E_QPC                |         68 |In condensed system
 E_QCRPFOOD_mkt       |         34 |In condensed system
 E_QCONS_mkt          |         34 |In condensed system
 E_QSCROP_mkt         |         34 |In condensed system
 E_QCRPFEED_mkt       |         34 |In condensed system
 E_PCROPr_loc         |         17 |In condensed system
 E_P                  |         17 |In condensed system
 E_QCRPBIOF           |         17 |In condensed system
 E_QCROPr             |         17 |In condensed system
 E_VCROPr             |         17 |In condensed system
 E_PCROPr             |         17 |In condensed system
 E_PNLANDr            |         17 |In condensed system
 E_QNCRPFOOD          |         17 |In condensed system
 E_QCRPFEED           |         17 |In condensed system
 E_QNCRPFEED          |         17 |In condensed system
 E_QCRPFOOD           |         17 |In condensed system
 E_TFP_PROC_FD        |         17 |In condensed system
 E_QCONS_LIVESTOCK    |         17 |In condensed system
 E_QCONS_PRCFOOD      |         17 |In condensed system
 E_QLANDr             |         17 |In condensed system
 E_PLANDr             |         17 |In condensed system
 E_YIELDr             |         17 |In condensed system
 E_QNLANDr            |         17 |In condensed system
 E_VNCRPFEEDg         |         17 |In condensed system
 E_AFNCRPFOOD         |         17 |In condensed system
 E_AFNCRPFEED         |         17 |In condensed system
 E_QCRPTRADEr         |         17 |In condensed system
 E_AFCRPFEED          |         17 |In condensed system
 E_AFCRPFOOD          |         17 |In condensed system
 E_VNCRPFOODg         |         17 |In condensed system
 E_TFP_LVSTOCK        |         17 |In condensed system
 E_PLANDj             |         12 |In condensed system
 E_QLANDj             |         12 |In condensed system
 E_PNLANDj            |         12 |In condensed system
 E_QNLANDj            |         12 |In condensed system
 E_QCROPj             |         12 |In condensed system
 E_PCROPj             |         12 |In condensed system
 E_PCROP_QS           |          1 |In condensed system
 E_PCROP              |          1 |In condensed system
 E_TFP_LVSTOCKW       |          1 |In condensed system
 E_PCROP_QD           |          1 |In condensed system
 E_TFP_PROC_FDW       |          1 |In condensed system
 E_QLANDg             |[     75667]|Used for BACKSOLVING
 E_PCROPg             |[     75667]|Used for BACKSOLVING
 E_QCROPg             |[     75667]|Used for BACKSOLVING
 E_QNLANDg            |[     75667]|Used for BACKSOLVING
 E_AOCROP             |[     75667]|Used for BACKSOLVING
 E_PNLANDg            |[     75667]|Used for BACKSOLVING
 E_PLANDg             |[     75667]|Used for BACKSOLVING
 E_AFLAND             |[     75667]|Used for BACKSOLVING
 E_AFNLAND            |[     75667]|Used for BACKSOLVING

 Number of equations in condensed system is 859
==============================================
Status of Variables (in decreasing size order)
==============================================
    Variable     |  Size      | Status of variable
-----------------|------------|--------------------
 s_QNLANDg       |      75667 | In condensed system
 s_QLANDg        |      75667 | In condensed system
 p_AFLANDg       |      75667 | In condensed system
 p_AFNLANDg      |      75667 | In condensed system
 p_AOCROPg       |      75667 | In condensed system
 t_PCROPg        |      75667 | In condensed system
 p_QDCROPr       |        102 | In condensed system
 p_VCONS         |         68 | In condensed system
 p_P             |         68 | In condensed system
 p_QPC           |         68 | In condensed system
 p_QCONS         |         68 | In condensed system
 p_QSCROPr       |         34 | In condensed system
 s_QCRPBIOFr     |         17 | In condensed system
 p_INC_PC        |         17 | In condensed system
 p_POP           |         17 | In condensed system
 p_QCRPBIOFr     |         17 | In condensed system
 p_AFLANDr       |         17 | In condensed system
 p_QCRPFOOD      |         17 | In condensed system
 p_QCRPFEED      |         17 | In condensed system
 p_QCRPBIOF      |         17 | In condensed system
 p_VCROPr        |         17 | In condensed system
 p_PCROPr        |         17 | In condensed system
 p_QCROPr        |         17 | In condensed system
 p_AOCROPr       |         17 | In condensed system
 p_AFNLANDr      |         17 | In condensed system
 p_PNLANDr       |         17 | In condensed system
 p_AFCRPFOODr    |         17 | In condensed system
 p_QNLANDr       |         17 | In condensed system
 p_AFNCRPFEED    |         17 | In condensed system
 p_AFNCRPFEEDr   |         17 | In condensed system
 p_AOCRPFOOD     |         17 | In condensed system
 p_AFCRPFOOD     |         17 | In condensed system
 p_AFCRPFEEDr    |         17 | In condensed system
 p_AFNCRPFOOD    |         17 | In condensed system
 p_AFNCRPFOODr   |         17 | In condensed system
 p_TFP_LVSTOCK   |         17 | In condensed system
 p_TFP_PROC_FD   |         17 | In condensed system
 p_QLANDr        |         17 | In condensed system
 p_PLANDr        |         17 | In condensed system
 p_YIELDr        |         17 | In condensed system
 p_PCROPr_loc    |         17 | In condensed system
 p_QNCRPFEED     |         17 | In condensed system
 pcropslackr     |         17 | In condensed system
 p_QNCRPFOOD     |         17 | In condensed system
 p_VNCRPFEED     |         17 | In condensed system
 p_VNCRPFOOD     |         17 | In condensed system
 p_PNCRPFEED     |         17 | In condensed system
 p_PNCRPFOOD     |         17 | In condensed system
 p_QCRPTRADEr    |         17 | In condensed system
 p_AOCRPFEED     |         17 | In condensed system
 p_AFCRPFEED     |         17 | In condensed system
 p_PNLANDj       |         12 | In condensed system
 p_PLANDj        |         12 | In condensed system
 p_QCROPj        |         12 | In condensed system
 p_PCROPj        |         12 | In condensed system
 p_QNLANDj       |         12 | In condensed system
 p_QLANDj        |         12 | In condensed system
 p_PCROP_QS      |          1 | In condensed system
 p_PCROP_QD      |          1 | In condensed system
 p_AFCRPFOODW    |          1 | In condensed system
 p_AFCRPFEEDW    |          1 | In condensed system
 p_TFP_PROC_FDW  |          1 | In condensed system
 p_PCROP         |          1 | In condensed system
 p_TFP_LVSTOCKW  |          1 | In condensed system
 p_AFNCRPFOODW   |          1 | In condensed system
 p_AFNCRPFEEDW   |          1 | In condensed system
 p_AOCROP        |[     75667]| BACKSOLVED for
 p_QCROPg        |[     75667]| BACKSOLVED for
 p_QLANDg        |[     75667]| BACKSOLVED for
 p_AFLAND        |[     75667]| BACKSOLVED for
 p_AFNLAND       |[     75667]| BACKSOLVED for
 p_QNLANDg       |[     75667]| BACKSOLVED for
 p_PCROPg        |[     75667]| BACKSOLVED for
 p_PLANDg        |[     75667]| BACKSOLVED for
 p_PNLANDg       |[     75667]| BACKSOLVED for


 Number of variables in condensed system is 455154
 Number of extra variables from backsolving is 681003
 

======================================================
Matching Variables to Equations (for closure analysis)
======================================================

Only variables and equations in the condensed system are
compared -- not those substituted, backsolved or omitted.

======== Direct or 1-to-1 Equation to Variable Matching

 Linear Variable     Size  Equation            Size
 ---------------     ----  --------            ----
 p_QLANDj              12  E_QLANDj              12
 p_QCROPj              12  E_QCROPj              12
 p_QNLANDj             12  E_QNLANDj             12
 p_PCROPj              12  E_PCROPj              12
 p_PLANDj              12  E_PLANDj              12
 p_PNLANDj             12  E_PNLANDj             12
 p_QCROPr              17  E_QCROPr              17
 p_PCROPr              17  E_PCROPr              17
 p_VCROPr              17  E_VCROPr              17
 p_QCRPBIOF            17  E_QCRPBIOF            17
 p_QCRPFEED            17  E_QCRPFEED            17
 p_QCRPFOOD            17  E_QCRPFOOD            17
 p_QCONS               68  E_QCONS               68
 p_VCONS               68  E_VCONS               68
 p_P                   68  E_P                   17 DIFFERENT!
 p_PCROP                1  E_PCROP                1
 p_QPC                 68  E_QPC                 68
 p_PCROPr_loc          17  E_PCROPr_loc          17
 p_PCROP_QS             1  E_PCROP_QS             1
 p_PCROP_QD             1  E_PCROP_QD             1
 p_QCRPTRADEr          17  E_QCRPTRADEr          17
 p_QNCRPFEED           17  E_QNCRPFEED           17
 p_QNCRPFOOD           17  E_QNCRPFOOD           17
 p_AFCRPFEED           17  E_AFCRPFEED           17
 p_AFNCRPFEED          17  E_AFNCRPFEED          17
 p_AFCRPFOOD           17  E_AFCRPFOOD           17
 p_AFNCRPFOOD          17  E_AFNCRPFOOD          17
 p_TFP_LVSTOCK         17  E_TFP_LVSTOCK         17
 p_TFP_LVSTOCKW         1  E_TFP_LVSTOCKW         1
 p_TFP_PROC_FD         17  E_TFP_PROC_FD         17
 p_TFP_PROC_FDW         1  E_TFP_PROC_FDW         1
 p_QLANDr              17  E_QLANDr              17
 p_PLANDr              17  E_PLANDr              17
 p_YIELDr              17  E_YIELDr              17
 p_QNLANDr             17  E_QNLANDr             17
 p_PNLANDr             17  E_PNLANDr             17

 So far, found 1 size differences.

 ======== Loosely Matching one or more Equations to one Variable

 Linear Variable     Size  Equation            Size
 ---------------     ----  --------            ----
 p_VNCRPFEED           17  E_VNCRPFEEDg          17
 p_VNCRPFOOD           17  E_VNCRPFOODg          17

 Found 1 size differences.

 ======== Unmatched Equations

 Equation            Size
 ---------------     ----
 E_QCONS_mkt           34
 E_QCRPFEED_mkt        34
 E_QCRPFOOD_mkt        34
 E_QSCROP_mkt          34
 E_QCONS_LIVESTOCK     17
 E_QCONS_PRCFOOD       17

 Found 6 unmatched equations.

======== Unmatched Variables: maybe exogenous

 6 equations were NOT matched to variables.
 1 equations did NOT have matching size.
Hence, the list below of unmatched variables will NOT be
a valid closure of the model.
 pcropslackr      !     17 slack variable for fixing producer prices in region r
 p_AOCRPFEED      !     17 hicks-neutral eff. index in livestock prod.
 p_AFCRPFEEDW     !      1 sub-component of feed eff. index: global
 p_AFCRPFEEDr     !     17 sub-component of feed eff. index: regional
 p_AFNCRPFOODr    !     17 sub-comp. of the non-crop eff. index: regional
 p_AFNCRPFOODW    !      1 sub-comp. of the non-crop eff. index: global
 p_AFCRPFOODr     !     17 sub-comp. of crop input eff. index: regional
 p_AOCRPFOOD      !     17 hicks-neutral eff. index in proc. food prod.
 p_AFNCRPFEEDr    !     17 sub-component of the non-feed eff. index: regional
 p_AFNCRPFEEDW    !      1 sub-component of the non-feed eff. index: global
 p_AFCRPFOODW     !      1 sub-comp. of crop input eff. index: global
 p_AOCROPg        !  75667 input-neutral eff. index in Crop prod. by grid
 p_AFNLANDg       !  75667 NonLand eff. index in crop prod. by grid
 p_AFLANDg        !  75667 land eff. index in crop prod. by grid
 p_AFNLANDr       !     17 NonLand eff. index in crop prod. by reg
 p_AOCROPr        !     17 input-neutral eff. index in Crop prod. by reg
 p_AFLANDr        !     17 land eff. index in crop prod. by reg
 p_PNCRPFEED      !     17 price index of non-feed inputs in livestock prod. (1 = 2006)
 p_PNCRPFOOD      !     17 price index of non-crop inputs in proc. food prod. (1 = 2006)
 p_POP            !     17 Population (in 1000 persons)
 p_QSCROPr        !     34 regional crop supply and by source
 p_QDCROPr        !    102 regional crop demand by use and by source
 p_INC_PC         !     17 Per capita income (in USD)
 p_QCRPBIOFr      !     17 Crop demand: Biofuel feedstock | Future Shock
 s_QLANDg         !  75667 Slack to control cropland by grid (in 1000 ha)
 s_QNLANDg        !  75667 Slack to control non-land by grid
 s_QCRPBIOFr      !     17 Crop demand: Biofuel feedstock | Alternative Shock
 t_PCROPg         !  75667 Tax/subsidy on crop output by grid & ltype
