-
Notifications
You must be signed in to change notification settings - Fork 2
Expand file tree
/
Copy path1_downscalingEconometric.gms
More file actions
779 lines (629 loc) · 30.2 KB
/
1_downscalingEconometric.gms
File metadata and controls
779 lines (629 loc) · 30.2 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
* PART 1: READ INPUT AND PRECOMPUTE PARAMETERS
$if not set project $set project SSPxRCP
$if not set lab $set lab 16042021
$if not set gdx_path $set gdx_path "gdx/downscaled.gdx"
* Limpopo counter
$if not set nsim $set nsim 0
$set nsim %nsim%
Option limrow=0;
Option limcol=0;
Option profile=1;
Option IterLim = 2000;
FILE Results_SCEN;
FILE Results_Reg;
* Define sets
$Include .\source\decl_sets.gms
$include .\source\set_simU_reg_map_updated.gms
* Load GLOBIOM output
SET
REGION
COUNTRY
REGION_MAP
SCEN1
SCEN2
SCEN3
ScenYear
;
PARAMETER
LUC_COMPARE_SCEN0(*,*,*,*,*,*,*)
Price_Compare2(*,*,*,*,*,*)
LANDCOVER_COMPARE_SCEN(*,*,*,*,*,*)
;
$GDXIN .\input\output_landcover_%project%_%lab%
$LOAD LANDCOVER_COMPARE_SCEN = LANDCOVER_COMPARE_SCEN
$LOAD LUC_COMPARE_SCEN0 = LUC_COMPARE_SCEN0
$LOAD Price_Compare2 = Price_Compare2
$LOAD REGION
$LOAD COUNTRY
$LOAD REGION_MAP
$LOAD SCEN1
$LOAD SCEN2
$LOAD SCEN3
$LOAD ScenYear
$GDXIN
* Load data for downscaling
$offlisting
TABLE Transportation(SimUID,ATTRIBUTE1) Distance in minutes
$ondelim
$include .\source\acc_mean_travel_minutes_simu.csv
$offdelim
$include .\source\data_GrasYield_X.gms
$onlisting
PARAMETER
AREA(*,*,*,*)
SRP_Suit(*,*,*);
$GDXIN .\source\X_4Tatiana.gdx
$LOAD AREA
$LOAD SRP_Suit
$GDXIN
* Base year 2000 land use GEOBENE data rescaled to match GLOBIOMsol numbers at regional level
PARAMETER LUC_Fin(*,*);
$GDXIN .\source\LUC_Fin_Write_SSP2_msg07Ukraine37R.gdx
$LOAD LUC_Fin
$GDXIN
PARAMETER Yield_Simu(*,*,*,*);
$GDXIN .\source\yields.gdx
$LOAD Yield_Simu
$GDXIN
PARAMETER MngForest_Param(*,*,*);
$GDXIN .\source\Forestparameters.gdx
$LOAD MngForest_Param
$GDXIN
* load population projections
PARAMETER pop(*,*,*,*);
$GDXIN .\source\pop_SSP1.gdx
$LOADM pop
$GDXIN
$GDXIN .\source\pop_SSP2.gdx
$LOADM pop
$GDXIN
$GDXIN .\source\pop_SSP3.gdx
$LOADM pop
$GDXIN
$GDXIN .\source\pop_SSP4.gdx
$LOADM pop
$GDXIN
$GDXIN .\source\pop_SSP5.gdx
$LOADM pop
$GDXIN
* load gdp projections
PARAMETER gdp(*,*,*);
$GDXIN .\source\gdp.gdx
$LOADM gdp
$GDXIN
* load yield shifters
PARAMETER YLD_SSP_STAT(*,*,CROP,*);
$GDXIN .\source\YLD_SSP_STATandDYN_regions37.gdx
$LOADM YLD_SSP_STAT
$GDXIN
*Load X-Matrix
set coeff_variable;
parameters
init_xmat(*,*,*),
xmat(*,*,*),
trans_factors(*);
$GDXIN .\source\Xmat.gdx
$load coeff_variable
$load init_xmat = xmat
$load trans_factors
$GDXIN
*Load estimated luc coefficients
parameters luc_downscl_coeff(*,LC_TYPES_EPIC,LC_TYPES_EPIC,coeff_variable);
$gdxin .\source\betas.gdx
$load luc_downscl_coeff=luc_downscl_coeff
$gdxin
* Scenario mapping for condor run
SET
ScenLOOP(AllScenLOOP)
/
%nsim%
/
SET MAP_ScenLOOP_ScenDims(AllScenLOOP,SCEN1,SCEN2,SCEN3,REGION);
SET MAP_ScenLOOP_ScenDims2(SCEN1,SCEN2,SCEN3,REGION);
MAP_ScenLOOP_ScenDims2(SCEN1,SCEN2,SCEN3,REGION)
$LANDCOVER_COMPARE_SCEN(REGION,'TotLnd',SCEN1,SCEN2,SCEN3,'2000')=YES;
SCALAR ScenNumber /0/;
LOOP((MAP_ScenLOOP_ScenDims2(SCEN1,SCEN2,SCEN3,REGION)),
MAP_ScenLOOP_ScenDims(AllScenLOOP,SCEN1,SCEN2,SCEN3,REGION)
$(AllScenLOOP.val eq ScenNumber) = YES;
ScenNumber = ScenNumber+1;
);
*$exit
* PART 2: DOWNSCALING
SCALAR delta /0.0001/ ;
SCALAR weight /10/ ;
SET rSimUID(SimUID);
ALIAS(rSimUID,i);
PARAMETER
SH_Opt(REGION,SimUID,LC_TYPES_EPIC,LC_TYPES_EPIC,SCEN2,ScenYear)
Delta_Opt(REGION,SimUID,LC_TYPES_EPIC,LC_TYPES_EPIC,SCEN2,ScenYear)
Sum_LandUse_Aux(REGION,LC_TYPES_EPIC,ScenYear)
* Used for calculating priors
Aux_Grass_NatLand
Aux_Grass_PltFor
Aux_CrpLnd_PltFor
AuxForest_Grass
AuxForest_CrpLnd
Aux_Nat_Land
Sum_AreaWeighted_Product_Tot
* Planted forest is not available in 2000 and has to be initialised
PltFor_Tot(REGION,SCEN2,ScenYear)
ShPltForInit(REGION,SimUID,SCEN2,ScenYear)
* Land use change at the beginning of the year
Delta_Init(REGION,LC_TYPES_EPIC,LC_TYPES_EPIC,ScenYear)
* Land use change at the end of the year
Delta_fin(REGION,LC_TYPES_EPIC,LC_TYPES_EPIC,ScenYear)
* Parameters for defining priors
Trans_Cost_Tot(REGION)
Sh_Trans_Cost(SimUID)
Inv_Trans_Cost(SimUID)
Inv_Trans_Cost_Tot(REGION)
Sh_Inv_Trans_Cost(SimUID)
PRODUCT_CROP_UNIT_INPUT(SimUID,CROP,INPUT_LEVEL)
Yield_CROP_UNIT_INPUT(SimUID,CROP,INPUT_LEVEL)
Area_CROP_UNIT_INPUT(SimUID,CROP,INPUT_LEVEL)
Sum_Crop_Area(SimUID)
Product_Tot(SimUID)
Sum_Product(REGION)
* Parameters for planted forest
Sh_PltFor(SimUID)
PltForSimUnit(SimUID)
* Parameters for calculating priors
Grass_Yield_SU(SimUID)
SimUnit_Yield(SimUID,REGION,CROP,INPUT_LEVEL)
Sum_Grass_Yield(REGION)
CROP_Area(SimUID,CROP,INPUT_LEVEL)
AreaWeighted_Product_Tot(SimUID)
Inv_Prod_SU(SimUID)
Sum_Inv_Prod(REGION)
Sh_Inv_Prod(SimUID)
Inv_Grass_Prod(SimUID)
Sum_Inv_Grass_Prod(REGION)
Sh_Inv_Grass_Prod(SimUID)
Sum_Inv_Prod_NatLand(REGION)
Sh_Inv_Prod_NatLand(SimUID)
PltForSum_NatLand
Sum_Product_NatLand
Sh_Crop_NatLand(SimUID)
Sum_Grass_NatLand
Aux(SimUID)
Aux_Trans(SimUID)
MIN_Trans
* prior shares
SH1(LC_TYPES_EPIC,LC_TYPES_EPIC,SimUID)
SH1_colsums(LC_TYPES_EPIC,LC_TYPES_EPIC)
* Consistency checks, Auxiliary variables
SH1_Check_sum(LC_TYPES_EPIC,LC_TYPES_EPIC,ScenYear)
X_Check_sum(LC_TYPES_EPIC,LC_TYPES_EPIC,ScenYear)
Sh(REGION,SimUID,LC_TYPES_EPIC,LC_TYPES_EPIC,SCEN2,ScenYear)
* for land accounting
DDelta(LC_TYPES_EPIC,LC_TYPES_EPIC)
SimUnitArea(SimUID)
Land_Cover_SU(SimUID,LC_TYPES_EPIC)
Land_Cover_SU_tt(SimUID,LC_TYPES_EPIC,ScenYear)
Land_Cover_SU_Region(REGION,SimUID,LC_TYPES_EPIC,ScenYear)
sum_Land_Cover_tt_after(REGION,LC_TYPES_EPIC,ScenYear)
Delta_LAND_Region(REGION,LC_TYPES_EPIC,ScenYear)
Delta_LAND
* Consistency checks, Auxiliary variables, can be deleted
SH_EQ_Check(LC_TYPES_EPIC1,LC_TYPES_EPIC2,ScenYear)
Aus_Reg(REGION,LC_TYPES_EPIC,ScenYear)
Aus_SU(REGION,LC_TYPES_EPIC,ScenYear)
Land_Pos(REGION,LC_TYPES_EPIC,SimUID,ScenYear)
CHECK_X_SH(LC_TYPES_EPIC,LC_TYPES_EPIC,SimUID,ScenYear)
CHECK_X_SH_ABS(SOL,LC_TYPES_EPIC,LC_TYPES_EPIC,SimUID,ScenYear)
;
*option DOWNSCALE_07_01_12.holdfixed = 1 ;
Option solvelink = 0 ;
* Downscaling model
VARIABLES
Z_VAR entropy
INTERM1_VAR(LC_TYPES_EPIC,LC_TYPES_EPIC,SimUID)
;
POSITIVE VARIABLE
X_VAR(LC_TYPES_EPIC,LC_TYPES_EPIC,SimUID)
Dummy_VAR(SimUID)
aa_VAR(LC_TYPES_EPIC,LC_TYPES_EPIC)
LndP_VAR(LC_TYPES_EPIC,SimUID)
;
EQUATIONS
ENTROPY_EQU Cross-enthropy equation
INTERMEq1(LC_TYPES_EPIC,LC_TYPES_EPIC,SimUID)
SH_EQU(LC_TYPES_EPIC,LC_TYPES_EPIC)
Sum_LAND_SU_EQU(SimUID) Total land in sim unit equals to SimUarea
Land_Positive_SU_EQU(LC_TYPES_EPIC,SimUID)
Delta_Land_00_EQU(LC_TYPES_EPIC)
;
INTERMEq1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)$( (NOT sameas(LC_TYPES_EPIC1,LC_TYPES_EPIC2)) AND (SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)>0) AND (DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2) >0)) ..
INTERM1_VAR(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID) =E= (X_VAR(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)+delta)*LOG(X_VAR(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID) +delta)-X_VAR(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)*LOG(SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID) + delta) ;
ENTROPY_EQU..
Z_VAR
=E=
*Cross-enthropy part
SUM((rSimUID,LC_TYPES_EPIC1,LC_TYPES_EPIC2)
$((NOT sameas(LC_TYPES_EPIC1,LC_TYPES_EPIC2)) AND
(SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)) AND
(DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2) >0)),
INTERM1_VAR(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID))*0.0000001
* Minimize any mismatches (Dummy_VAR) in land equation Sum_LAND_SU_EQU(rSimUID).. (land of all types E= SimUnitArea(rSimUID)
* weight is used to penalize the mismatch
+ SUM((rSimUID)$(Land_Cover_SU(rSimUID,'SimUarea')),
weight*(Dummy_VAR(rSimUID)))
* Minimize any mismatches (aa_VAR) in Shares accountng SH_EQU(LC_TYPES_EPIC1,LC_TYPES_EPIC2) , weight is used to penalize the mismatch
+ weight*(SUM((LC_TYPES_EPIC1,LC_TYPES_EPIC2)
$((NOT sameas(LC_TYPES_EPIC1,LC_TYPES_EPIC2)) AND
(DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2) >0)),
aa_VAR(LC_TYPES_EPIC1,LC_TYPES_EPIC2)))
* Minimize any mismatches (LndP_VAR) in land use change Land_Positive_SU_EQU .. , weight is used to penalize the mismatch
+ weight*SUM((LC_TYPES_EPIC,rSimUID),
LndP_VAR(LC_TYPES_EPIC,rSimUID));
* Consistency check for X_VAR, sum X_VARs has to be 1, otherwise aa_VAR is non zero
SH_EQU(LC_TYPES_EPIC1,LC_TYPES_EPIC2)
$((NOT sameas(LC_TYPES_EPIC1,LC_TYPES_EPIC2)) AND
(DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2)>0))..
SUM((rSimUID)
$(SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)),
X_VAR(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID))
+ aa_VAR(LC_TYPES_EPIC1,LC_TYPES_EPIC2)
=E= 1;
Sum_LAND_SU_EQU(rSimUID)..
SUM((LC_TYPES_EPIC1, LC_TYPES_EPIC2)
$((NOT sameas (LC_TYPES_EPIC1,LC_TYPES_EPIC2)) AND
(SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID) )),
X_VAR(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)
* DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2)
$(SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)))
- SUM((LC_TYPES_EPIC2,LC_TYPES_EPIC1)
$((NOT sameas (LC_TYPES_EPIC2, LC_TYPES_EPIC1)) AND
(SH1(LC_TYPES_EPIC2,LC_TYPES_EPIC1,rSimUID) )),
X_VAR(LC_TYPES_EPIC2,LC_TYPES_EPIC1,rSimUID)
* DDelta(LC_TYPES_EPIC2,LC_TYPES_EPIC1)
$(SH1(LC_TYPES_EPIC2,LC_TYPES_EPIC1,rSimUID)))
+ SUM(LC_TYPES_EPIC1
$(NOT sameas(LC_TYPES_EPIC1,'SimUarea')),
Land_Cover_SU(rSimUID,LC_TYPES_EPIC1))
+ Dummy_VAR(rSimUID)
=E= SimUnitArea(rSimUID);
* Consistency check in land use changes using X_VAR ,
* X_VAR(LC_TYPES_EPIC2,LC_TYPES_EPIC,rSimUID) at the level of rSimUID is applied to total DDelta(LC_TYPES_EPIC2,LC_TYPES_EPIC)
Land_Positive_SU_EQU(LC_TYPES_EPIC,rSimUID)
$(NOT sameas(LC_TYPES_EPIC,'SimUarea'))..
Land_Cover_SU(rSimUID,LC_TYPES_EPIC)
+ SUM(LC_TYPES_EPIC2
$(NOT sameas(LC_TYPES_EPIC2,LC_TYPES_EPIC)),
X_VAR(LC_TYPES_EPIC2,LC_TYPES_EPIC,rSimUID)*DDelta(LC_TYPES_EPIC2,LC_TYPES_EPIC))
- SUM(LC_TYPES_EPIC2
$(NOT sameas(LC_TYPES_EPIC,LC_TYPES_EPIC2)),
X_VAR(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID)
* DDelta(LC_TYPES_EPIC,LC_TYPES_EPIC2))
+ LndP_VAR(LC_TYPES_EPIC,rSimUID)
=G= 0;
Delta_Land_00_EQU(LC_TYPES_EPIC1)
$(NOT sameas(LC_TYPES_EPIC1,'SimUarea'))..
SUM((rSimUID, LC_TYPES_EPIC2)
$(NOT sameas (LC_TYPES_EPIC2,LC_TYPES_EPIC1) AND
(DDelta(LC_TYPES_EPIC2,LC_TYPES_EPIC1) > 0)),
X_VAR(LC_TYPES_EPIC2,LC_TYPES_EPIC1,rSimUID)
* DDelta(LC_TYPES_EPIC2,LC_TYPES_EPIC1)
$(SH1(LC_TYPES_EPIC2,LC_TYPES_EPIC1,rSimUID))
- X_VAR(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)
* DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2)
$(SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)) )
=E=
SUM(LC_TYPES_EPIC2
$((NOT sameas (LC_TYPES_EPIC2,LC_TYPES_EPIC1)) AND
(DDelta(LC_TYPES_EPIC2,LC_TYPES_EPIC1) > 0)),
DDelta(LC_TYPES_EPIC2,LC_TYPES_EPIC1)
- DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2));
MODEL ENTROPYMAX/
INTERMEq1
ENTROPY_EQU
SH_EQU
Sum_LAND_SU_EQU
Land_Positive_SU_EQU
Delta_Land_00_EQU/;
* Initialize priors
LOOP(MAP_ScenLOOP_ScenDims(ScenLOOP,SCEN1,SCEN2,SCEN3,REGION),
rSimUID(SimUID)
$ SUM(COUNTRY $ REGION_MAP(REGION,COUNTRY),
SimUID_reg_MAP(SimUID,COUNTRY))
= YES ;
* current version of determinant matrix
xmat(rSimUID,REGION,coeff_variable) = 0;
xmat(rSimUID,REGION,coeff_variable) = init_xmat(rSimUID,REGION,coeff_variable);
LOOP(ScenYear,
* Initialization of land use change to be equal to LUC_COMPARE_SCEN0(REGION,LUC_Set1,LUC_Set2,SCEN1,SCEN2,SCEN3,ScenYear)
DDelta(LC_TYPES_EPIC,LC_TYPES_EPIC) = 0;
DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2)
= SUM((LC_MAP_EPIC_LUCSET(LC_TYPES_EPIC1,LUC_Set1),LC_MAP_EPIC_LUCSET2(LC_TYPES_EPIC2,LUC_Set2)),
LUC_COMPARE_SCEN0(REGION,LUC_Set1,LUC_Set2,SCEN1,SCEN2,SCEN3,ScenYear));
* if for whatever reason DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2) is negative, set it to 0
DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2)
$(DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2) < 0.00001)
= 0 ;
* Initialize variable Delta_Init to be equal to DDelta, before any changes are done to DDelta
Delta_Init(REGION, LC_TYPES_EPIC1,LC_TYPES_EPIC2,ScenYear)
= DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2);
IF((ord(ScenYear) eq 1),
* in the first time period, land cover in simulation unit (Land_Cover_SU(rSimUID,LC_TYPES_EPIC)) set to LUC_Fin(rSimUID,LC_TYPES_EPIC)
Land_Cover_SU(rSimUID,LC_TYPES_EPIC) = LUC_Fin(rSimUID,LC_TYPES_EPIC) ;
Land_Cover_SU(rSimUID,LC_TYPES_EPIC) $(Land_Cover_SU(rSimUID,LC_TYPES_EPIC) < 0) = 0 ;
* Initialize Planted forst as some share of Land_Cover_SU(rSimUID,'OthNatLnd'). In Initial year, land use data for planted forest is absent
PltFor_Tot(REGION,SCEN2,ScenYear) = LANDCOVER_COMPARE_SCEN(REGION,'PltForTot',SCEN1,SCEN2,SCEN3,ScenYear) ;
Aux_Nat_Land = sum(rSimUID $(Land_Cover_SU(rSimUID,'OthNatLnd') > 0), Land_Cover_SU(rSimUID,'OthNatLnd')) ;
ShPltForInit(REGION,rSimUID,SCEN2,ScenYear) = Land_Cover_SU(rSimUID,'OthNatLnd') /Aux_Nat_Land ;
Land_Cover_SU(rSimUID,'PltFor') = PltFor_Tot(REGION,SCEN2,ScenYear) * ShPltForInit(REGION,rSimUID,SCEN2,ScenYear) ;
* Subtract PlantedForest from OthNatLnd
Land_Cover_SU(rSimUID,'OthNatLnd') = Land_Cover_SU(rSimUID,'OthNatLnd') - Land_Cover_SU(rSimUID,'PltFor') ;
* keep track of land dynamics at the levelof SimUID, Land_Cover_SU will be reinitialized
Land_Cover_SU_tt(rSimUID,LC_TYPES_EPIC,ScenYear) = Land_Cover_SU(rSimUID,LC_TYPES_EPIC) ;
* "Yield" or "productivity" of planted forest
* Initialize the variable, not to be equal to 0
PltForSimUnit(rSimUID) = 0.01 ;
PltForSimUnit(rSimUID)
= sum(SimUID_reg_MAP(rSimUID,COUNTRY),SRP_suit(rSimUID,COUNTRY,'SRP_NPP')) ;
* If the above PltForSimUnit(rSimUID) equal to 0, set is to small positive
PltForSimUnit(rSimUID) $(PltForSimUnit(rSimUID) = 0) = 0.01 ;
* Calculate Total land in simulation unit as a sum of different land types
SimUnitArea(rSimUID) = Land_Cover_SU(rSimUID,'CrpLnd')+ Land_Cover_SU(rSimUID,'Forest')
+ Land_Cover_SU(rSimUID,'Grass') + Land_Cover_SU(rSimUID,'OthNatLnd') + Land_Cover_SU(rSimUID,'PltFor') ;
ELSE
* From the second timeperiod, initialize the variable
Land_Cover_SU(rSimUID,LC_TYPES_EPIC) = 0 ;
* Set Land_Cover_SU(rSimUID,LC_TYPES_EPIC) equal to land cover fromthe previous time period
Land_Cover_SU(rSimUID,LC_TYPES_EPIC) = Land_Cover_SU_tt(rSimUID,LC_TYPES_EPIC,ScenYear-1) ;
* Keep track of dynamics, Land_Cover_SU at the beginning of time ScenYear equals Land_Cover_SU at the end of t-1
Land_Cover_SU_tt(rSimUID,LC_TYPES_EPIC,ScenYear)
= Land_Cover_SU_tt(rSimUID,LC_TYPES_EPIC,ScenYear-1) ;
);
* Transportation costs and other related variables, to be used for calculation of prior shares
Aux_Trans(rSimUID) $(SimUnitArea(rSimUID) >0) = Transportation(rSimUID,'MEAN1') ;
MIN_Trans = smin (rSimUID , Aux_Trans(rSimUID) ) ;
Trans_Cost_Tot(REGION) = sum(rSimUID, Aux_Trans(rSimUID) ) ;
Sh_Trans_Cost(rSimUID) $(Trans_Cost_Tot(REGION)>0) = Transportation(rSimUID,'MEAN1')/(Trans_Cost_Tot(REGION)) ;
* Here we take transportation distance as a proxy for transportation cost and
* "discount" the value of location by its distance to "large" city or a market place
* 0.5 is 50% "influence" of transportation distance
Inv_Trans_Cost(rSimUID) $(Transportation(rSimUID,'MEAN1')>0) = 1/(0.4*Transportation(rSimUID,'MEAN1')) ;
Inv_Trans_Cost_Tot(REGION) = 0;
Inv_Trans_Cost_Tot(REGION) = sum(rSimUID, Inv_Trans_Cost(rSimUID)) ;
Sh_Inv_Trans_Cost(rSimUID) $(Inv_Trans_Cost_Tot(REGION)>0) = Inv_Trans_Cost(rSimUID) / (Inv_Trans_Cost_Tot(REGION)) ;
* Value of crop production by crop and input level
Yield_CROP_UNIT_INPUT(rSimUID,CROP,INPUT_LEVEL)
= sum(SimUID_reg_MAP(rSimUID,COUNTRY), Yield_Simu(rSimUID,COUNTRY,CROP,INPUT_LEVEL))
* YLD_SSP_STAT(SCEN1,REGION,CROP,ScenYear);
Area_CROP_UNIT_INPUT(rSimUID,CROP,INPUT_LEVEL)
= sum(SimUID_reg_MAP(rSimUID,COUNTRY), Area(rSimUID,COUNTRY,CROP,INPUT_LEVEL)) ;
Sum_Crop_Area(rSimUID)
= sum ((CROP,INPUT_LEVEL), Area_CROP_UNIT_INPUT(rSimUID,CROP,INPUT_LEVEL) ) ;
PRODUCT_CROP_UNIT_INPUT(rSimUID,CROP,INPUT_LEVEL)
= Yield_CROP_UNIT_INPUT(rSimUID,CROP,INPUT_LEVEL) * Area_CROP_UNIT_INPUT(rSimUID,CROP,INPUT_LEVEL) ;
* Production total
Product_Tot(rSimUID)
= sum((CROP,INPUT_LEVEL),Price_Compare2(Crop,REGION,SCEN1,SCEN2,SCEN3,ScenYear)* PRODUCT_CROP_UNIT_INPUT(rSimUID,CROP,INPUT_LEVEL)) ;
AreaWeighted_Product_Tot(rSimUID) $(Sum_Crop_Area(rSimUID) > 0 )
= Product_Tot(rSimUID) / Sum_Crop_Area(rSimUID) ;
* Invers production value
Inv_Prod_SU(rSimUID) $(Inv_Trans_Cost(rSimUID)*AreaWeighted_Product_Tot(rSimUID)>0) =1/(Inv_Trans_Cost(rSimUID)*1.5*AreaWeighted_Product_Tot(rSimUID)) ;
Sum_Inv_Prod(REGION) = 0 ;
Sum_Inv_Prod(REGION)
= sum(rSimUID $( Land_Cover_SU(rSimUID,'CrpLnd') > 0) , Inv_Prod_SU(rSimUID)) ;
Sh_Inv_Prod(rSimUID) = 0 ;
Sh_Inv_Prod(rSimUID) $((Sum_Inv_Prod(REGION)>0) AND ( Land_Cover_SU(rSimUID,'CrpLnd') > 0)) = Inv_Prod_SU(rSimUID) / (Sum_Inv_Prod(REGION)) ;
* Update yields in xmat
xmat(rSimUID,REGION,CROP) = Product_Tot(rSimUID) * trans_factors(CROP);
* Defining Prior shares of land use conversion
SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID) = 0;
* Construct the econometric priors
SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID)$(DDelta(LC_TYPES_EPIC,LC_TYPES_EPIC2) > 0 AND
regr_coeff_exist(LC_TYPES_EPIC,LC_TYPES_EPIC2)) =
SUM(coeff_variable,
xmat(rSimUID,REGION,coeff_variable) *
luc_downscl_coeff(REGION,LC_TYPES_EPIC,LC_TYPES_EPIC2,coeff_variable));
SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID)$ (SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID) <> 0 AND
regr_coeff_exist(LC_TYPES_EPIC,LC_TYPES_EPIC2)) =
exp(SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID));
* restrict expansions for e.g. cropland, grassland etc
SH1(LC_TYPES_EPIC,"CrpLnd",rSimUID)$(Product_Tot(rSimUID) = 0) = 0;
* restrict expansion to where land cover actually exists
SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID)$( Land_Cover_SU(rSimUID,LC_TYPES_EPIC) = 0 AND
regr_coeff_exist(LC_TYPES_EPIC,LC_TYPES_EPIC2)) = 0;
SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID)$( SUM(LC_TYPES_EPIC1 , SH1(LC_TYPES_EPIC,LC_TYPES_EPIC1,rSimUID)) > 0 ) =
SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID) / (SUM(LC_TYPES_EPIC1 , SH1(LC_TYPES_EPIC,LC_TYPES_EPIC1,rSimUID) ) + 1 );
SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID)$(Ddelta(LC_TYPES_EPIC,LC_TYPES_EPIC2)>0 AND
regr_coeff_exist(LC_TYPES_EPIC,LC_TYPES_EPIC2) AND
SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID) > 0) =
SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID) * Land_Cover_SU(rSimUID,LC_TYPES_EPIC);
SH1_colsums(LC_TYPES_EPIC,LC_TYPES_EPIC2)$(Ddelta(LC_TYPES_EPIC,LC_TYPES_EPIC2)>0 AND
regr_coeff_exist(LC_TYPES_EPIC,LC_TYPES_EPIC2)) =
SUM( rSimUID$(SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID) > 0) , SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID));
* Make all priors sum up to one
SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID)$( SH1_colsums(LC_TYPES_EPIC,LC_TYPES_EPIC2) <> 0 ) =
SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID) / SH1_colsums(LC_TYPES_EPIC,LC_TYPES_EPIC2);
SH1_colsums(LC_TYPES_EPIC,LC_TYPES_EPIC2) = SUM( rSimUID , SH1(LC_TYPES_EPIC,LC_TYPES_EPIC2,rSimUID));
*************************
Sum_Product(REGION) = 0 ;
Sum_Product(REGION)
= sum (rSimUID $( Land_Cover_SU(rSimUID,'CrpLnd') > 0), Inv_Trans_Cost(rSimUID)*AreaWeighted_Product_Tot(rSimUID)) ;
* Grass yields
* Since SimUs are not of the same size, we take productivity per hectar as a basis for prior
Grass_Yield_SU(rSimUID)
= sum(SimUID_reg_MAP(rSimUID,COUNTRY),GRASYIELD(rSimUID,COUNTRY)) ;
Grass_Yield_SU(rSimUID) $(Grass_Yield_SU(rSimUID) = 0 ) = 0.001 ;
Sum_Grass_Yield(REGION)=sum(rSimUID,Grass_Yield_SU(rSimUID)) ;
* 'CrpLnd' to 'OthNatLnd'
Sh_Inv_Prod_NatLand(rSimUID) = 0 ;
Sum_Inv_Prod_NatLand(REGION)
= sum(rSimUID $(Land_Cover_SU(rSimUID,'CrpLnd') > 0), Inv_Prod_SU(rSimUID)) ;
Sh_Inv_Prod_NatLand(rSimUID) $((Sum_Inv_Prod_NatLand(REGION)>0) AND (Land_Cover_SU(rSimUID,'CrpLnd') > 0)) = Inv_Prod_SU(rSimUID) / (Sum_Inv_Prod_NatLand(REGION)) ;
* 'CrpLnd' to 'PltFor'
Aux_CrpLnd_PltFor =
sum((rSimUID) $((AreaWeighted_Product_Tot(rSimUID) >0) AND (Inv_Trans_Cost(rSimUID) >0) AND (Land_Cover_SU(rSimUID,'CrpLnd') > 0)) , PltForSimUnit(rSimUID)*(1/(Inv_Trans_Cost(rSimUID)*AreaWeighted_Product_Tot(rSimUID)))) ;
SH1('CrpLnd','PltFor',rSimUID) = 0 ;
SH1('CrpLnd','PltFor',rSimUID) $((Aux_CrpLnd_PltFor > 0) AND (AreaWeighted_Product_Tot(rSimUID) >0) AND (Inv_Trans_Cost(rSimUID) >0) AND (Land_Cover_SU(rSimUID,'CrpLnd') > 0))
= PltForSimUnit(rSimUID)*(1/(Inv_Trans_Cost(rSimUID)*AreaWeighted_Product_Tot(rSimUID))) / Aux_CrpLnd_PltFor ;
* 'Grass' to 'CrpLnd'
Sum_AreaWeighted_Product_Tot = sum(rSimUID $(Land_Cover_SU(rSimUID,'Grass') > 0), Land_Cover_SU(rSimUID,'Grass')) ;
* 'Grass' to 'PltFor'
Inv_Grass_Prod(rSimUID) $(Grass_Yield_SU(rSimUID)>0) = 1/ (Grass_Yield_SU(rSimUID)) ;
Sum_Inv_Grass_Prod(REGION)= sum (rSimUID $(Land_Cover_SU(rSimUID,'Grass')>0), Inv_Grass_Prod(rSimUID)) ;
Sh_Inv_Grass_Prod(rSimUID) $((Sum_Inv_Grass_Prod(REGION)>0) AND (Land_Cover_SU(rSimUID,'Grass')>0)) = Inv_Grass_Prod(rSimUID) / (Sum_Inv_Grass_Prod(REGION)) ;
Aux_Grass_PltFor
= sum((rSimUID) $((Inv_Grass_Prod(rSimUID)>0) AND (PltForSimUnit(rSimUID) >0) AND (Land_Cover_SU(rSimUID,'Grass') > 0)) , Land_Cover_SU(rSimUID,'Grass') ) ;
SH1('Grass','PltFor',rSimUID) = 0 ;
SH1('Grass','PltFor',rSimUID) $((Aux_Grass_PltFor > 0) AND (Inv_Grass_Prod(rSimUID)>0) AND (PltForSimUnit(rSimUID) >0) AND (Land_Cover_SU(rSimUID,'Grass') > 0)) = Land_Cover_SU(rSimUID,'Grass') / Aux_Grass_PltFor ;
* 'Grass' to 'OthNatLnd'
Inv_Grass_Prod(rSimUID) $(Grass_Yield_SU(rSimUID)>0) = 1/ (Grass_Yield_SU(rSimUID)) ;
Sum_Inv_Grass_Prod(REGION)= sum (rSimUID $(Land_Cover_SU(rSimUID,'Grass')>0), Inv_Grass_Prod(rSimUID)) ;
Sh_Inv_Grass_Prod(rSimUID) $((Sum_Inv_Grass_Prod(REGION)>0) AND (Land_Cover_SU(rSimUID,'Grass')>0)) = Inv_Grass_Prod(rSimUID) / (Sum_Inv_Grass_Prod(REGION)) ;
Aux_Grass_NatLand = 0 ;
Aux_Grass_NatLand
= sum((rSimUID) $(Land_Cover_SU(rSimUID,'Grass') > 0) , Land_Cover_SU(rSimUID,'Grass') ) ;
* 'PltFor' to 'OthNatLnd'
SH1('PltFor','OthNatLnd',rSimUID) = 0 ;
SH1('PltFor','OthNatLnd',rSimUID) = Sh_Inv_Trans_Cost(rSimUID) ;
* 'Forest' to 'CrpLnd'
AuxForest_CrpLnd = 0;
AuxForest_CrpLnd
= sum( (rSimUID) $((Land_Cover_SU(rSimUID,'Forest') > 0 ) AND (MngForest_Param(rSimUID,'CurN','HarvWood') >0) AND (MngForest_Param(rSimUID,'CurN','HarvCost') >0)) , MngForest_Param(rSimUID,'CurN','HarvCost') * (1/(Land_Cover_SU(rSimUID,'Forest')*MngForest_Param(rSimUID,'CurN','HarvWood')))*Inv_Trans_Cost(rSimUID)*AreaWeighted_Product_Tot(rSimUID)) ;
* 'Forest' to 'Grass'
AuxForest_Grass = 0;
AuxForest_Grass
= sum((rSimUID) $(Land_Cover_SU(rSimUID,'Forest') > 0 ) , Land_Cover_SU(rSimUID,'Forest')) ;
* 'OthNatLnd' to 'CrpLnd'
Sum_Product_NatLand = 0 ;
Sum_Product_NatLand
= sum (rSimUID $(Land_Cover_SU(rSimUID,'OthNatLnd') > 0 ), Inv_Trans_Cost(rSimUID)*AreaWeighted_Product_Tot(rSimUID)) ;
Aux(rSimUID) $(Land_Cover_SU(rSimUID,'OthNatLnd') > 0 ) = Inv_Trans_Cost(rSimUID)*AreaWeighted_Product_Tot(rSimUID) ;
* 'OthNatLnd' to 'Grass'
Sum_Grass_NatLand =0 ;
Sum_Grass_NatLand = sum (rSimUID $(Land_Cover_SU(rSimUID,'OthNatLnd') > 0 ), Land_Cover_SU(rSimUID,'OthNatLnd')) ;
* 'OthNatLnd' to 'PltFor'
PltForSum_NatLand = 0 ;
PltForSum_NatLand = sum(rSimUID $(Land_Cover_SU(rSimUID,'OthNatLnd') > 0.0), PltForSimUnit(rSimUID)) ;
SH1('OthNatLnd','PltFor',rSimUID) = 0 ;
SH1('OthNatLnd','PltFor',rSimUID) $((PltForSum_NatLand >0) AND (Land_Cover_SU(rSimUID,'OthNatLnd') > 0.0)) = PltForSimUnit(rSimUID)/PltForSum_NatLand ;
$ontext
* Crop to Grass land
SH1('CrpLnd','Grass',rSimUID) = 0 ;
SH1('CrpLnd','Grass',rSimUID) = Sh_Inv_Prod(rSimUID) ;
SH1('CrpLnd','OthNatLnd',rSimUID) = 0 ;
SH1('CrpLnd','OthNatLnd',rSimUID)= Sh_Inv_Prod_NatLand(rSimUID) ;
SH1('Grass','CrpLnd',rSimUID) = 0 ;
SH1('Grass','CrpLnd',rSimUID) $((Sum_AreaWeighted_Product_Tot > 0) AND (Land_Cover_SU(rSimUID,'Grass') >0)) = Land_Cover_SU(rSimUID,'Grass') / Sum_AreaWeighted_Product_Tot ;
SH1('Grass','OthNatLnd',rSimUID) = 0 ;
SH1('Grass','OthNatLnd',rSimUID) = Land_Cover_SU(rSimUID,'Grass')/Aux_Grass_NatLand ;
SH1('Forest','CrpLnd',rSimUID) = 0;
SH1('Forest','CrpLnd',rSimUID) $((Land_Cover_SU(rSimUID,'Forest') > 0 ) AND (MngForest_Param(rSimUID,'CurN','HarvWood') >0) AND (MngForest_Param(rSimUID,'CurN','HarvCost') >0) AND (AuxForest_CrpLnd >0)) = MngForest_Param(rSimUID,'CurN','HarvCost')* (1/(Land_Cover_SU(rSimUID,'Forest')*MngForest_Param(rSimUID,'CurN','HarvWood')))*Inv_Trans_Cost(rSimUID)*AreaWeighted_Product_Tot(rSimUID) / AuxForest_CrpLnd ;
SH1('Forest','Grass',rSimUID) = 0 ;
SH1('Forest','Grass',rSimUID) $(Land_Cover_SU(rSimUID,'Forest') > 0 ) = Land_Cover_SU(rSimUID,'Forest') / AuxForest_Grass ;
SH1('OthNatLnd','CrpLnd',rSimUID) = 0 ;
SH1('OthNatLnd','CrpLnd',rSimUID) $((Sum_Product_NatLand > 0) AND (Land_Cover_SU(rSimUID,'OthNatLnd') > 0 )) = Aux(rSimUID) /Sum_Product_NatLand ;
SH1('OthNatLnd','Grass',rSimUID) = 0 ;
SH1('OthNatLnd','Grass',rSimUID) $((Sum_Grass_NatLand > 0) AND (Land_Cover_SU(rSimUID,'OthNatLnd') > 0 )) = Land_Cover_SU(rSimUID,'OthNatLnd') / Sum_Grass_NatLand;
$offtext
* Initializing unknown shares
X_VAR.UP(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID) $((NOT sameas(LC_TYPES_EPIC1,LC_TYPES_EPIC2)) AND (SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID))) = 1 ;
X_VAR.UP(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID) $((NOT sameas(LC_TYPES_EPIC1,LC_TYPES_EPIC2)) AND (SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)= 0)) = 0 ;
X_VAR.LO(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID) $((NOT sameas(LC_TYPES_EPIC1,LC_TYPES_EPIC2)) AND (SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID))) = 0 ;
X_VAR.L(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID) $((NOT sameas(LC_TYPES_EPIC1,LC_TYPES_EPIC2)) AND (SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID))) = SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID) ;
Sh(REGION,rSimUID, LC_TYPES_EPIC1,LC_TYPES_EPIC2,SCEN2,ScenYear)
= SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID);
*option iterlim = 2000 ;
*option optcr = 0.0001;
SOLVE ENTROPYMAX USING NLP MINIMIZING Z_VAR ;
Delta_fin(REGION,LC_TYPES_EPIC1,LC_TYPES_EPIC2,ScenYear)
$((DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2) > 0) AND
(NOT sameas(LC_TYPES_EPIC1,LC_TYPES_EPIC2)))
= SUM(rSimUID
$(X_VAR.l(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID) >0),
X_VAR.l(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)
*DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2)
$(SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID))) ;
Delta_LAND(LC_TYPES_EPIC1,rSimUID,ScenYear)
= - SUM(LC_TYPES_EPIC2,
X_VAR.l(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)
*DDelta(LC_TYPES_EPIC1,LC_TYPES_EPIC2)
$(SH1(LC_TYPES_EPIC1,LC_TYPES_EPIC2,rSimUID)))
+ SUM(LC_TYPES_EPIC2,
X_VAR.l(LC_TYPES_EPIC2,LC_TYPES_EPIC1,rSimUID)
*DDelta(LC_TYPES_EPIC2,LC_TYPES_EPIC1)
$(SH1(LC_TYPES_EPIC2,LC_TYPES_EPIC1,rSimUID)));
Delta_LAND_Region(REGION,LC_TYPES_EPIC1,ScenYear)
= SUM(rSimUID
$(Delta_LAND(LC_TYPES_EPIC1,rSimUID,ScenYear)>0),
Delta_LAND(LC_TYPES_EPIC1,rSimUID,ScenYear));
Land_Cover_SU(rSimUID,LC_TYPES_EPIC1)
= Land_Cover_SU(rSimUID,LC_TYPES_EPIC1)
+ Delta_LAND(LC_TYPES_EPIC1,rSimUID,ScenYear);
SimUnitArea(rSimUID)
= SUM(LC_TYPES_EPIC1
$(NOT sameas(LC_TYPES_EPIC1,'SimUarea')),
Land_Cover_SU(rSimUID,LC_TYPES_EPIC1));
Land_Cover_SU(rSimUID,'SimUarea')
= SimUnitArea(rSimUID);
Land_Cover_SU_tt(rSimUID,LC_TYPES_EPIC,ScenYear)
= Land_Cover_SU(rSimUID,LC_TYPES_EPIC);
* Update gdp and population
xmat(rSimUID,REGION,"totPop") = pop(rSimUID,SCEN1,"Total",scenYear) * trans_factors("totPop");
xmat(rSimUID,REGION,"ruralPop") = pop(rSimUID,SCEN1,"Rural",scenYear) * trans_factors("ruralPop");
xmat(rSimUID,REGION,"ruralPop") = pop(rSimUID,SCEN1,"Rural",scenYear) * trans_factors("ruralPop");
xmat(rSimUID,REGION,"gdp_base") = gdp(rSimUID,SCEN1,scenYear) * trans_factors("gdp_base");
* Summary tables
sum_Land_Cover_tt_after(REGION,LC_TYPES_EPIC,ScenYear)
= SUM(rSimUID, Land_Cover_SU(rSimUID,LC_TYPES_EPIC));
Land_Cover_SU_Region(REGION,rSimUID,LC_TYPES_EPIC,ScenYear)=0 ;
Land_Cover_SU_Region(REGION,rSimUID,LC_TYPES_EPIC,ScenYear)
= Land_Cover_SU(rSimUID,LC_TYPES_EPIC);
* "Clean" variables for the next itteration/loop
Option kill= X_VAR;
Option kill= Z_VAR;
Option kill= ENTROPY_EQU ;
Option kill= SH1 ;
Option kill= SH_EQU;
Option kill= Sum_LAND_SU_EQU;
Option kill= Land_Cover_SU;
Option kill= Land_Positive_SU_EQU;
Option kill= Delta_Land_00_EQU;
Option kill= DDelta ;
Option kill= INTERM1_VAR ;
););
Option clear = rSimUID ;
Option kill= xmat;
* PART 3: MAPPING TO G4Mm REPORTING
PARAMETER
Land_Cover_SU_Region_SCEN(REGION,SimUID,LC_TYPES_EPIC,SCEN1,SCEN2,SCEN3,ScenYear);
LOOP(MAP_ScenLOOP_ScenDims(ScenLOOP,SCEN1,SCEN2,SCEN3,REGION),
Land_Cover_SU_Region(REGION,SimUID,LC_TYPES_EPIC,ScenYear) $(Land_Cover_SU_Region (REGION,SimUID,LC_TYPES_EPIC,ScenYear) < 0) = 0 ;
Land_Cover_SU_Region_SCEN(REGION,SimUID,LC_TYPES_EPIC,SCEN1,SCEN2,SCEN3,ScenYear) = Land_Cover_SU_Region(REGION,SimUID,LC_TYPES_EPIC,ScenYear) ;
);
$include .\source\set_g4mIDsimUIDmap.gms
SET
Rg4m_05_id(g4m_05_id);
Rg4m_05_id(g4m_05_id) $ SUM(G4MID_SIMUID_MAP(g4m_05_id,SimUID),1) = YES;
PARAMETER
LandCover_G4MID_0(SimUID,SCEN1,SCEN2,SCEN3,LandTypeFAO,ScenYear)
LandCover_G4MID_1(g4m_05_id,SimUID,SCEN1,SCEN3,SCEN2,LandTypeFAO,ScenYear)
LandCover_G4MID(g4m_05_id,SCEN1,SCEN3,SCEN2,*,ScenYear);
LandCover_G4MID_0(SimUID,SCEN1,SCEN2,SCEN3,LandTypeFAOg4m,ScenYear)
= SUM((REGION,LandType_MAP(LC_TYPES_EPIC,LandTypeFAOg4m)),
Land_Cover_SU_Region_SCEN(REGION,SimUID,LC_TYPES_EPIC,SCEN1,SCEN2,SCEN3,ScenYear));
LOOP(G4MID_SIMUID_MAP(Rg4m_05_id,SimUID),
LandCover_G4MID_1(Rg4m_05_id,SimUID,SCEN1,SCEN3,SCEN2,LandTypeFAOg4m,ScenYear)
= LandCover_G4MID_0(SimUID,SCEN1,SCEN2,SCEN3,LandTypeFAOg4m,ScenYear);
);
LandCover_G4MID(Rg4m_05_id,SCEN1,SCEN3,SCEN2,LandTypeFAOg4m,ScenYear)
= SUM(G4MID_SIMUID_MAP(Rg4m_05_id,SimUID),
LandCover_G4MID_1(Rg4m_05_id,SimUID,SCEN1,SCEN3,SCEN2,LandTypeFAOg4m,ScenYear));
LandCover_G4MID(Rg4m_05_id,SCEN1,SCEN3,SCEN2,"% Reserved",ScenYear)
$ LandCover_G4MID(Rg4m_05_id,SCEN1,SCEN3,SCEN2,"TotLnd",ScenYear)
= LandCover_G4MID(Rg4m_05_id,SCEN1,SCEN3,SCEN2,"Reserved",ScenYear)
/ LandCover_G4MID(Rg4m_05_id,SCEN1,SCEN3,SCEN2,"TotLnd",ScenYear);
LandCover_G4MID(Rg4m_05_id,SCEN1,SCEN3,SCEN2,"% Reserved",ScenYear)
$((LandCover_G4MID(Rg4m_05_id,SCEN1,SCEN3,SCEN2,"% Reserved",ScenYear) ge 1) AND
LandCover_G4MID(Rg4m_05_id,SCEN1,SCEN3,SCEN2,"TotLndnew",ScenYear))
= LandCover_G4MID(Rg4m_05_id,SCEN1,SCEN3,SCEN2,"Reserved",ScenYear)
/LandCover_G4MID(Rg4m_05_id,SCEN1,SCEN3,SCEN2,"TotLndnew",ScenYear);
execute_unload '%gdx_path%',
Delta_fin, Delta_Init, Delta_LAND_Region, sum_Land_Cover_tt_after, Land_Cover_SU_Region, Land_Cover_SU_Region_SCEN, Delta_LAND_Region, LandCover_G4MID
;