$offupper $eolcom # ** Begin program ............................................ ** DATA, VARIABLES, & PARAMETERS sets i cmd /AN, VE, FA, FS, MN, CH, RP, HL, CW, PP, TA, FW, SP, PS, MT, MA, TE, PE, AA, MM, WA, OT / j cty /ALB, BIH, BGR, HRV, MKD, MDA, ROM, YUG, TUR, UKR, EUO, EUN, BLR, RUS, CHE, USA, JPN, CHN, DCO, EMP, WAO, AFO, ASC, ASO, AMO, ROW / k(j) fta ss /ALB, BIH, BGR, HRV, MKD, MDA, ROM, YUG, TUR, UKR, EUO / k2(j) fta ss /ALB, BIH, BGR, HRV, MKD, MDA, ROM, YUG, TUR, UKR, EUO, EUN / kp(j) ~fta ss /EUN, BLR, RUS, CHE, USA, JPN, CHN, DCO, EMP, WAO, AFO, ASC, ASO, AMO, ROW / kp2(j) ~fta ss /BLR, RUS, CHE, USA, JPN, CHN, DCO, EMP, WAO, AFO, ASC, ASO, AMO, ROW / ; sets v variables / md, xs, nt, pm, px, tr, fr, ax, nd / ; table d(v,i,j) initial data ALB BIH BGR HRV MKD MDA ROM YUG TUR UKR EUO EUN BLR RUS CHE USA JPN CHN DCO EMP WAO AFO ASC ASO AMO ROW md . AN 64302 137938 118052 288138 79480 25568 296473 81634 186431 170169 68078858 2098506 181533 3651547 1095973 16947969 19613325 3342628 4312031 2445862 4111196 2328499 322045 14023663 5659957 6002628 md . VE 122649 129864 162092 319311 70860 85102 677164 208112 1387003 461032 71840648 3938411 240994 2608453 2272646 16440434 13760475 7178874 7365313 7053724 6714930 4777645 550999 18029718 13562058 7530082 md . FA 29434 42847 44207 41948 25956 5509 62473 16856 497065 110777 10130091 749831 79917 602178 244969 1622855 677475 2926511 932507 1731105 1342347 1415454 179298 6034805 2411217 1206204 md . FS 161651 380873 326184 610943 158188 96177 703069 400605 937206 669251 105258180 6825945 689174 5183738 3263357 29204687 14833671 2116305 12859068 4199837 5335300 4534598 1056397 18592693 10038241 11791935 md . MN 220833 304435 862297 1725367 339321 298073 2970161 1162954 8936545 7053135 253618809 22122848 3107509 2072831 4885396 167647985 89960510 37704498 28069805 11334346 6299856 11830500 2471561 140643959 32124712 37884496 md . CH 114603 347493 821505 1259011 205858 133173 1903397 660718 7697593 1382034 294906221 20477607 872180 6826062 19003804 94098531 26433740 31797403 34654477 9662268 9770938 9519948 1989898 74198158 39509037 49487057 md . RP 57220 165413 515793 654752 97438 68961 1420430 353414 3999893 736413 120495422 15525091 596875 2575295 4266732 36418783 8581985 24745413 18548480 4871849 4692304 3892248 733947 36738994 24394929 8661338 md . HL 55428 38922 133387 143967 10228 36506 765109 31157 820728 65221 18112732 2204613 115422 232291 621193 9260067 4148033 4121960 1809040 410938 350727 284246 58564 12297670 1933088 2982730 md . CW 22768 38657 55053 217267 40284 22991 204248 94326 351818 85798 31239717 2543341 78733 327903 1026808 18424451 10241825 4666917 4423584 1791230 1104866 488791 222204 6262874 1876309 2684196 md . PP 36619 107871 253321 444063 65837 56289 565531 194994 1444288 683681 74769624 7385204 284058 2066817 3534631 22837226 4439236 8629621 11878028 2509630 2235382 2752772 402533 15233121 10017367 5962031 md . TA 206489 192447 1525289 769069 89145 121919 3568281 288940 5072783 677171 144679018 12733221 448119 2276292 5266932 84418711 24054487 19292068 15092353 8274646 7032606 4544432 578737 58128187 15937139 37347284 md . FW 65262 48016 89784 171810 10671 7209 357165 76337 218211 58330 26309770 1450617 40639 400364 896844 19563098 3714414 487666 2676284 561890 754930 718605 80564 8016949 1602302 5196503 md . SP 68473 122205 152976 285339 47445 52429 405456 112735 471510 203664 31044527 4121690 191756 1115331 1514583 14286024 3278418 2629483 5032306 1290761 2173995 1149857 333932 8449387 3867742 4797449 md . PS 662 1861 17462 47739 844 2989 33874 3637 2767087 137597 37608177 425434 5906 37327 5011883 28182659 5714961 1847279 4567601 8552534 5397873 1166661 359024 35846882 1124705 13456906 md . MT 176619 280326 739332 1182843 159490 73904 1848380 438088 7490699 823811 181250613 21692227 1370267 4076979 6282507 55760742 16024893 39385184 25172943 8636771 12037363 5678214 2303322 69496059 23958677 19542821 md . MA 284044 620679 2167665 3161065 330178 213940 5751850 1259424 15813788 2503075 638713109 70322988 1865852 13650962 19808917 335842880 89323184 175409248 103167667 24903802 29818096 19717425 4584772 421454547 108677363 126569527 md . TE 128914 241432 980732 2145912 113954 87519 1491327 427407 5823640 1043916 368643749 28022863 414089 5761915 10103665 197942163 16411625 17524222 75570192 9895144 20073271 13839490 2443418 40093230 42185819 76361933 md . PE 22614 51047 178198 330672 30885 22880 532419 140156 1468261 267656 87753815 5150266 200650 1920390 4386126 44515262 17165685 26172602 13777267 2854109 3329975 2055720 434183 41806460 10091968 14616876 md . AA 729 2142 6924 3095 4400 271 4878 1769 166631 7324 1408451 295093 425 5509 126760 1117194 179803 2816 487027 247823 252200 89529 17432 447194 214879 1097873 md . MM 43461 91184 166112 450238 28173 18527 457670 95985 577530 138601 65687853 4741866 95872 1280914 3323072 58239046 9068279 1590728 12310969 1379668 2368351 1247976 368600 15724614 5205119 10487579 md . WA 63 2207 1257 3540 1 0 686 769 4944 1172 3949660 102690 108 7659 855213 4415899 205900 7090 230948 36918 38221 55619 4375 354481 36110 3116472 md . OT 12185 100483 1761805 317696 454182 11514 81722 495885 3886613 316229 110540993 3853715 754483 6070347 1993953 52431619 6454109 3569653 6305777 1725753 4247436 5282401 435951 11789241 6536718 100759291 xs . AN 5001 7607 139233 153055 21452 31112 231049 15905 314072 510018 66026059 3713589 363371 3098780 494656 13406828 848469 6041052 25322692 1457629 1071415 3274320 63162 13691275 13927733 1434871 xs . VE 18346 20390 310504 78194 42678 126204 232408 330587 2309640 1333748 59221665 3407169 114825 1422950 393537 30333957 384213 8742277 12151655 3707442 1876397 6725904 1222043 15821356 36482583 677921 xs . FA 444 1193 13342 20558 747 28897 32641 19447 347174 588919 10253018 244053 11308 192306 66046 2201450 102542 128300 1190773 355669 265636 347964 57523 11559369 4841334 293183 xs . FS 22084 47373 385591 522457 177851 352470 135847 229290 2030941 804047 118675798 5745753 381616 1065780 2253944 20867499 1724417 8146215 13303007 1904096 1423581 9996535 422120 18514918 29806288 1287755 xs . MN 22503 205211 654580 734724 105136 20605 1280706 105664 2089253 3576251 116356380 9559583 2258446 72004585 2477235 19417984 2456173 13717140 113760125 47489787 194727038 57746377 14400513 75760944 79461312 45264487 xs . CH 10629 27469 661295 444704 60039 10365 752221 146397 1428833 1902606 409298722 11923219 985955 9168229 32944229 90251159 36774806 20104740 23679810 8973629 8924262 4280935 921257 51764965 18412879 3879360 xs . RP 2326 21842 204480 221476 20539 6523 577723 276352 1684875 298019 139450808 9968573 371933 1728820 3684284 40259420 22397077 18238553 13476439 2051667 4709937 1450749 128606 51647233 9271676 1659482 xs . HL 14661 39333 79646 83440 14800 53337 213461 31104 624721 208980 19341311 1234093 96615 358647 325508 3700594 287474 18570768 2070338 361770 304447 630228 110737 8150294 3501862 635798 xs . CW 11266 202791 156076 296482 5008 2003 822676 79321 146304 387214 26339546 6415487 314885 4281550 555156 5545849 98194 5849984 15973535 163026 56089 3185057 31099 11442529 5549656 626176 xs . PP 9604 28740 105954 166202 6862 10613 156929 69533 424248 308374 91308280 6140630 140094 2524735 2531520 21416530 3404624 5886545 20858705 657105 693932 1563340 20818 12041037 7311429 1003392 xs . TA 155884 157279 1997647 696480 449939 192374 5254019 213045 16736185 785814 121869644 12031635 851032 1362713 2890178 20127373 8355422 89468990 8545773 11885246 3042655 5356645 1849184 109128906 25302187 3909516 xs . FW 133686 123611 249764 162772 48710 38972 1815523 92908 195118 86295 22019170 1555293 53500 66906 148914 656905 182594 30584784 337910 810297 129926 162685 4947 11184327 2471345 257372 xs . SP 2451 12112 146994 155482 28532 17453 267591 61808 1506275 175048 42200543 4702694 282696 388380 749363 6163483 4729631 9724244 2155224 504994 956383 356825 44635 7317408 4007528 541696 xs . PS 759 2242 19240 52630 4145 237 51090 3545 810364 145320 37610826 697009 29811 4174665 14689401 8830503 2154811 4883058 8518312 12658729 4094834 15255359 1090141 27977912 6072864 2491757 xs . MT 56226 319697 1423990 336139 359981 171825 2488314 580833 5350712 9239053 195909622 19811397 841254 22405521 5698107 35436288 34291425 30626307 33592293 2954927 5134042 9198966 4152431 52299121 29639057 3565546 xs . MA 49378 147334 872421 959772 56622 46800 2827459 210863 6739734 1769110 710714280 63658976 1133332 4556172 26119697 255319269 235344850 237564538 44944521 10700977 5336831 4545792 362364 487783296 84674201 29497458 xs . TE 3410 40505 123073 854412 25893 9173 1018390 83278 6140954 1001600 453084618 30933743 1087471 4828687 3236716 104695889 119466744 15592149 72431479 1546719 1347668 5089873 335321 55614458 42590818 16588500 xs . PE 3255 8551 60337 79928 1146 8058 88959 17256 129872 182893 97863270 3287830 166431 631397 16576504 49022421 36725000 22210318 5309453 2099202 359055 344012 42919 31971750 8957778 3128547 xs . AA 334 9107 11571 10720 526 0 8338 5335 71820 5796 2224948 102463 242 92293 118351 1736229 85949 109173 440356 94599 8914 54491 12971 239094 126187 618364 xs . MM 11491 119731 205866 211438 7839 6404 1063266 56924 857332 141847 58303391 11341878 288064 257336 1321604 9364723 5014563 68716153 7885637 714008 372165 910494 11599 18559727 8928153 516354 xs . WA 219 281 1304 1772 125 106 6226 1617 16128 1418 7544683 54994 120 73644 963726 1896703 136616 247544 298039 87150 77850 72199 4899 682867 170846 1090926 xs . OT 4682 12553 487258 308822 9174 3695 292609 79283 792321 571050 162255728 2771812 5196690 20754743 2699306 31862254 19322609 3375518 25474076 1661919 1436836 1268091 275450 15001881 9923101 24348293 nt . AN -59301 -130331 21181 -135083 -58028 5544 -65424 -65729 127641 339849 -2052799 1615083 181838 -552767 -601317 -3541141 -18764856 2698424 21010661 -988233 -3039781 945821 -258883 -332388 8267776 -4567757 nt . VE -104303 -109474 148412 -241117 -28182 41102 -444756 122475 922637 872716 -12618983 -531242 -126169 -1185503 -1879109 13893523 -13376262 1563403 4786342 -3346282 -4838533 1948259 671044 -2208362 22920525 -6852161 nt . FA -28990 -41654 -30865 -21390 -25209 23388 -29832 2591 -149891 478142 122927 -505778 -68609 -409872 -178923 578595 -574933 -2798211 258266 -1375436 -1076711 -1067490 -121775 5524564 2430117 -913021 nt . FS -139567 -333500 59407 -88486 19663 256293 -567222 -171315 1093735 134796 13417618 -1080192 -307558 -4117958 -1009413 -8337188 -13109254 6029910 443939 -2295741 -3911719 5461937 -634277 -77775 19768047 -10504180 nt . MN -198330 -99224 -207717 -990643 -234185 -277468 -1689455 -1057290 -6847292 -3476884 -137262429 -12563265 -849063 69931754 -2408161 -148230001 -87504337 -23987358 85690320 36155441 188427182 45915877 11928952 -64883015 47336600 7379991 nt . CH -103974 -320024 -160210 -814307 -145819 -122808 -1151176 -514321 -6268760 520572 114392501 -8554388 113775 2342167 13940425 -3847372 10341066 -11692663 -10974667 -688639 -846676 -5239013 -1068641 -22433193 -21096158 -45607697 nt . RP -54894 -143571 -311313 -433276 -76899 -62438 -842707 -77062 -2315018 -438394 18955386 -5556518 -224942 -846475 -582448 3840637 13815092 -6506860 -5072041 -2820182 17633 -2441499 -605341 14908239 -15123253 -7001856 nt . HL -40767 411 -53741 -60527 4572 16831 -551648 -53 -196007 143759 1228579 -970520 -18807 126356 -295685 -5559473 -3860559 14448808 261298 -49168 -46280 345982 52173 -4147376 1568774 -2346932 nt . CW -11502 164134 101023 79215 -35276 -20988 618428 -15005 -205514 301416 -4900171 3872146 236152 3953647 -471652 -12878602 -10143631 1183067 11549951 -1628204 -1048777 2696266 -191105 5179655 3673347 -2058020 nt . PP -27015 -79131 -147367 -277861 -58975 -45676 -408602 -125461 -1020040 -375307 16538656 -1244574 -143964 457918 -1003111 -1420696 -1034612 -2743076 8980677 -1852525 -1541450 -1189432 -381715 -3192084 -2705938 -4958639 nt . TA -50605 -35168 472358 -72589 360794 70455 1685738 -75895 11663402 108643 -22809374 -701586 402913 -913579 -2376754 -64291338 -15699065 70176922 -6546580 3610600 -3989951 812213 1270447 51000719 9365048 -33437768 nt . FW 68424 75595 159980 -9038 38039 31763 1458358 16571 -23093 27965 -4290600 104676 12861 -333458 -747930 -18906193 -3531820 30097118 -2338374 248407 -625004 -555920 -75617 3167378 869043 -4939131 nt . SP -66022 -110093 -5982 -129857 -18913 -34976 -137865 -50927 1034765 -28616 11156016 581004 90940 -726951 -765220 -8122541 1451213 7094761 -2877082 -785767 -1217612 -793032 -289297 -1131979 139786 -4255753 nt . PS 97 381 1778 4891 3301 -2752 17216 -92 -1956723 7723 2649 271575 23905 4137338 9677518 -19352156 -3560150 3035779 3950711 4106195 -1303039 14088698 731117 -7868970 4948159 -10965149 nt . MT -120393 39371 684658 -846704 200491 97921 639934 142745 -2139987 8415242 14659009 -1880830 -529013 18328542 -584400 -20324454 18266532 -8758877 8419350 -5681844 -6903321 3520752 1849109 -17196938 5680380 -15977275 nt . MA -234666 -473345 -1295244 -2201293 -273556 -167140 -2924391 -1048561 -9074054 -733965 72001171 -6664012 -732520 -9094790 6310780 -80523611 146021666 62155290 -58223146 -14202825 -24481265 -15171633 -4222408 66328749 -24003162 -97072069 nt . TE -125504 -200927 -857659 -1291500 -88061 -78346 -472937 -344129 317314 -42316 84440869 2910880 673382 -933228 -6866949 -93246274 103055119 -1932073 -3138713 -8348425 -18725603 -8749617 -2108097 15521228 404999 -59773433 nt . PE -19359 -42496 -117861 -250744 -29739 -14822 -443460 -122900 -1338389 -84763 10109455 -1862436 -34219 -1288993 12190378 4507159 19559315 -3962284 -8467814 -754907 -2970920 -1711708 -391264 -9834710 -1134190 -11488329 nt . AA -395 6965 4647 7625 -3874 -271 3460 3566 -94811 -1528 816497 -192630 -183 86784 -8409 619035 -93854 106357 -46671 -153224 -243286 -35038 -4461 -208100 -88692 -479509 nt . MM -31970 28547 39754 -238800 -20334 -12123 605596 -39061 279802 3246 -7384462 6600012 192192 -1023578 -2001468 -48874323 -4053716 67125425 -4425332 -665660 -1996186 -337482 -357001 2835113 3723034 -9971225 nt . WA 156 -1926 47 -1768 124 106 5540 848 11184 246 3595023 -47696 12 65985 108513 -2519196 -69284 240454 67091 50232 39629 16580 524 328386 134736 -2025546 nt . OT -7503 -87930 -1274547 -8874 -445008 -7819 210887 -416602 -3094292 254821 51714735 -1081903 4442207 14684396 705353 -20569365 12868500 -194135 19168299 -63834 -2810600 -4014310 -160501 3212640 3386383 -76410998 pm . AN 1.1564 1.1564 1.1564 1.1564 1.1564 1.1564 1.1564 1.1564 1.1564 1.1564 1.0444 1.1564 1.1564 1.1564 1.1564 1.0373 1.0982 1.1564 1.0564 1.1564 1.1564 1.1564 1.1564 1.1564 1.1564 1.1564 pm . VE 1.1415 1.1415 1.1415 1.1415 1.1415 1.1415 1.1415 1.1415 1.1415 1.1415 1.0506 1.1415 1.1415 1.1415 1.1415 1.0361 1.0665 1.1415 1.0518 1.1415 1.1415 1.1415 1.1415 1.1415 1.1415 1.1415 pm . FA 1.1588 1.1588 1.1588 1.1588 1.1588 1.1588 1.1588 1.1588 1.1588 1.1588 1.053 1.1588 1.1588 1.1588 1.1588 1.0337 1.0658 1.1588 1.0469 1.1588 1.1588 1.1588 1.1588 1.1588 1.1588 1.1588 pm . FS 1.2216 1.2216 1.2216 1.2216 1.2216 1.2216 1.2216 1.2216 1.2216 1.2216 1.1304 1.2216 1.2216 1.2216 1.2216 1.2689 1.1504 1.2216 1.126 1.2216 1.2216 1.2216 1.2216 1.2216 1.2216 1.2216 pm . MN 1.0621 1.0621 1.0621 1.0621 1.0621 1.0621 1.0621 1.0621 1.0621 1.0621 1.0027 1.0621 1.0621 1.0621 1.0621 1.0011 1.0032 1.0621 1.0164 1.0621 1.0621 1.0621 1.0621 1.0621 1.0621 1.0621 pm . CH 1.0971 1.0971 1.0971 1.0971 1.0971 1.0971 1.0971 1.0971 1.0971 1.0971 1.0422 1.0971 1.0971 1.0971 1.0971 1.0222 1.0337 1.0971 1.0495 1.0971 1.0971 1.0971 1.0971 1.0971 1.0971 1.0971 pm . RP 1.1163 1.1163 1.1163 1.1163 1.1163 1.1163 1.1163 1.1163 1.1163 1.1163 1.0466 1.1163 1.1163 1.1163 1.1163 1.032 1.0296 1.1163 1.0568 1.1163 1.1163 1.1163 1.1163 1.1163 1.1163 1.1163 pm . HL 1.145 1.145 1.145 1.145 1.145 1.145 1.145 1.145 1.145 1.145 1.0237 1.145 1.145 1.145 1.145 1.0374 1.1525 1.145 1.0448 1.145 1.145 1.145 1.145 1.145 1.145 1.145 pm . CW 1.1323 1.1323 1.1323 1.1323 1.1323 1.1323 1.1323 1.1323 1.1323 1.1323 1.028 1.1323 1.1323 1.1323 1.1323 1.0182 1.0315 1.1323 1.0462 1.1323 1.1323 1.1323 1.1323 1.1323 1.1323 1.1323 pm . PP 1.0832 1.0832 1.0832 1.0832 1.0832 1.0832 1.0832 1.0832 1.0832 1.0832 1.0125 1.0832 1.0832 1.0832 1.0832 1.0023 1.0084 1.0832 1.0239 1.0832 1.0832 1.0832 1.0832 1.0832 1.0832 1.0832 pm . TA 1.1586 1.1586 1.1586 1.1586 1.1586 1.1586 1.1586 1.1586 1.1586 1.1586 1.0747 1.1586 1.1586 1.1586 1.1586 1.0733 1.0783 1.1586 1.0807 1.1586 1.1586 1.1586 1.1586 1.1586 1.1586 1.1586 pm . FW 1.1958 1.1958 1.1958 1.1958 1.1958 1.1958 1.1958 1.1958 1.1958 1.1958 1.0516 1.1958 1.1958 1.1958 1.1958 1.0566 1.1084 1.1958 1.0716 1.1958 1.1958 1.1958 1.1958 1.1958 1.1958 1.1958 pm . SP 1.1411 1.1411 1.1411 1.1411 1.1411 1.1411 1.1411 1.1411 1.1411 1.1411 1.0364 1.1411 1.1411 1.1411 1.1411 1.0359 1.0164 1.1411 1.0503 1.1411 1.1411 1.1411 1.1411 1.1411 1.1411 1.1411 pm . PS 1.1501 1.1501 1.1501 1.1501 1.1501 1.1501 1.1501 1.1501 1.1501 1.1501 1.0068 1.1501 1.1501 1.1501 1.1501 1.0219 1.0124 1.1501 1.0229 1.1501 1.1501 1.1501 1.1501 1.1501 1.1501 1.1501 pm . MT 1.0952 1.0952 1.0952 1.0952 1.0952 1.0952 1.0952 1.0952 1.0952 1.0952 1.0275 1.0952 1.0952 1.0952 1.0952 1.0228 1.0312 1.0952 1.0394 1.0952 1.0952 1.0952 1.0952 1.0952 1.0952 1.0952 pm . MA 1.0915 1.0915 1.0915 1.0915 1.0915 1.0915 1.0915 1.0915 1.0915 1.0915 1.0216 1.0915 1.0915 1.0915 1.0915 1.0151 1.001 1.0915 1.043 1.0915 1.0915 1.0915 1.0915 1.0915 1.0915 1.0915 pm . TE 1.094 1.094 1.094 1.094 1.094 1.094 1.094 1.094 1.094 1.094 1.0271 1.094 1.094 1.094 1.094 1.0221 1.0004 1.094 1.045 1.094 1.094 1.094 1.094 1.094 1.094 1.094 pm . PE 1.1191 1.1191 1.1191 1.1191 1.1191 1.1191 1.1191 1.1191 1.1191 1.1191 1.0306 1.1191 1.1191 1.1191 1.1191 1.028 1.0016 1.1191 1.045 1.1191 1.1191 1.1191 1.1191 1.1191 1.1191 1.1191 pm . AA 1.2089 1.2089 1.2089 1.2089 1.2089 1.2089 1.2089 1.2089 1.2089 1.2089 1.0268 1.2089 1.2089 1.2089 1.2089 1.0089 1.0959 1.2089 1.0608 1.2089 1.2089 1.2089 1.2089 1.2089 1.2089 1.2089 pm . MM 1.1715 1.1715 1.1715 1.1715 1.1715 1.1715 1.1715 1.1715 1.1715 1.1715 1.0273 1.1715 1.1715 1.1715 1.1715 1.026 1.0245 1.1715 1.0551 1.1715 1.1715 1.1715 1.1715 1.1715 1.1715 1.1715 pm . WA 1.1219 1.1219 1.1219 1.1219 1.1219 1.1219 1.1219 1.1219 1.1219 1.1219 1.0303 1.1219 1.1219 1.1219 1.1219 1.0256 1.0296 1.1219 1.0422 1.1219 1.1219 1.1219 1.1219 1.1219 1.1219 1.1219 pm . OT 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . AN 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . VE 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . FA 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . FS 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . MN 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . CH 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . RP 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . HL 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . CW 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . PP 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . TA 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . FW 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . SP 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . PS 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . MT 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . MA 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . TE 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . PE 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . AA 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . MM 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . WA 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 px . OT 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tr . AN 15.64 15.64 15.64 15.64 15.64 15.64 15.64 15.64 15.64 15.64 4.44 15.64 15.64 15.64 15.64 3.73 9.82 15.64 5.64 15.64 15.64 15.64 15.64 15.64 15.64 15.64 tr . VE 14.15 14.15 14.15 14.15 14.15 14.15 14.15 14.15 14.15 14.15 5.06 14.15 14.15 14.15 14.15 3.61 6.65 14.15 5.18 14.15 14.15 14.15 14.15 14.15 14.15 14.15 tr . FA 15.88 15.88 15.88 15.88 15.88 15.88 15.88 15.88 15.88 15.88 5.3 15.88 15.88 15.88 15.88 3.37 6.58 15.88 4.69 15.88 15.88 15.88 15.88 15.88 15.88 15.88 tr . FS 22.16 22.16 22.16 22.16 22.16 22.16 22.16 22.16 22.16 22.16 13.04 22.16 22.16 22.16 22.16 26.89 15.04 22.16 12.6 22.16 22.16 22.16 22.16 22.16 22.16 22.16 tr . MN 6.21 6.21 6.21 6.21 6.21 6.21 6.21 6.21 6.21 6.21 0.27 6.21 6.21 6.21 6.21 0.11 0.32 6.21 1.64 6.21 6.21 6.21 6.21 6.21 6.21 6.21 tr . CH 9.71 9.71 9.71 9.71 9.71 9.71 9.71 9.71 9.71 9.71 4.22 9.71 9.71 9.71 9.71 2.22 3.37 9.71 4.95 9.71 9.71 9.71 9.71 9.71 9.71 9.71 tr . RP 11.63 11.63 11.63 11.63 11.63 11.63 11.63 11.63 11.63 11.63 4.66 11.63 11.63 11.63 11.63 3.2 2.96 11.63 5.68 11.63 11.63 11.63 11.63 11.63 11.63 11.63 tr . HL 14.5 14.5 14.5 14.5 14.5 14.5 14.5 14.5 14.5 14.5 2.37 14.5 14.5 14.5 14.5 3.74 15.25 14.5 4.48 14.5 14.5 14.5 14.5 14.5 14.5 14.5 tr . CW 13.23 13.23 13.23 13.23 13.23 13.23 13.23 13.23 13.23 13.23 2.8 13.23 13.23 13.23 13.23 1.82 3.15 13.23 4.62 13.23 13.23 13.23 13.23 13.23 13.23 13.23 tr . PP 8.32 8.32 8.32 8.32 8.32 8.32 8.32 8.32 8.32 8.32 1.25 8.32 8.32 8.32 8.32 0.23 0.84 8.32 2.39 8.32 8.32 8.32 8.32 8.32 8.32 8.32 tr . TA 15.86 15.86 15.86 15.86 15.86 15.86 15.86 15.86 15.86 15.86 7.47 15.86 15.86 15.86 15.86 7.33 7.83 15.86 8.07 15.86 15.86 15.86 15.86 15.86 15.86 15.86 tr . FW 19.58 19.58 19.58 19.58 19.58 19.58 19.58 19.58 19.58 19.58 5.16 19.58 19.58 19.58 19.58 5.66 10.84 19.58 7.16 19.58 19.58 19.58 19.58 19.58 19.58 19.58 tr . SP 14.11 14.11 14.11 14.11 14.11 14.11 14.11 14.11 14.11 14.11 3.64 14.11 14.11 14.11 14.11 3.59 1.64 14.11 5.03 14.11 14.11 14.11 14.11 14.11 14.11 14.11 tr . PS 15.01 15.01 15.01 15.01 15.01 15.01 15.01 15.01 15.01 15.01 0.68 15.01 15.01 15.01 15.01 2.19 1.24 15.01 2.29 15.01 15.01 15.01 15.01 15.01 15.01 15.01 tr . MT 9.52 9.52 9.52 9.52 9.52 9.52 9.52 9.52 9.52 9.52 2.75 9.52 9.52 9.52 9.52 2.28 3.12 9.52 3.94 9.52 9.52 9.52 9.52 9.52 9.52 9.52 tr . MA 9.15 9.15 9.15 9.15 9.15 9.15 9.15 9.15 9.15 9.15 2.16 9.15 9.15 9.15 9.15 1.51 0.1 9.15 4.3 9.15 9.15 9.15 9.15 9.15 9.15 9.15 tr . TE 9.4 9.4 9.4 9.4 9.4 9.4 9.4 9.4 9.4 9.4 2.71 9.4 9.4 9.4 9.4 2.21 0.04 9.4 4.5 9.4 9.4 9.4 9.4 9.4 9.4 9.4 tr . PE 11.91 11.91 11.91 11.91 11.91 11.91 11.91 11.91 11.91 11.91 3.06 11.91 11.91 11.91 11.91 2.8 0.16 11.91 4.5 11.91 11.91 11.91 11.91 11.91 11.91 11.91 tr . AA 20.89 20.89 20.89 20.89 20.89 20.89 20.89 20.89 20.89 20.89 2.68 20.89 20.89 20.89 20.89 0.89 9.59 20.89 6.08 20.89 20.89 20.89 20.89 20.89 20.89 20.89 tr . MM 17.15 17.15 17.15 17.15 17.15 17.15 17.15 17.15 17.15 17.15 2.73 17.15 17.15 17.15 17.15 2.6 2.45 17.15 5.51 17.15 17.15 17.15 17.15 17.15 17.15 17.15 tr . WA 12.19 12.19 12.19 12.19 12.19 12.19 12.19 12.19 12.19 12.19 3.03 12.19 12.19 12.19 12.19 2.56 2.96 12.19 4.22 12.19 12.19 12.19 12.19 12.19 12.19 12.19 tr . OT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . AN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . VE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . FA 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . FS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . MN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . CH 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . RP 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . HL 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . CW 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . PP 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . TA 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . FW 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . SP 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . PS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . MT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . MA 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . TE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . PE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . AA 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . MM 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . WA 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 fr . OT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ax . AN 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 ax . VE 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 ax . FA 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 ax . FS 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 ax . MN 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 ax . CH 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . RP 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . HL 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . CW 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . PP 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . TA 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . FW 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . SP 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . PS 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . MT 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . MA 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . TE 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . PE 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . AA 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . MM 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . WA 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ax . OT 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 nd . AN -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 -0.926 nd . VE -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 -0.677777777777778 nd . FA -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 -1.1 nd . FS -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 -1.08333333333333 nd . MN -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 -0.805 nd . CH -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 -1.59 nd . RP -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 -1.6 nd . HL -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 -1.31666666666667 nd . CW -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 -1.17666666666667 nd . PP -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 -1.35 nd . TA -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 -1.52857142857143 nd . FW -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 -1.875 nd . SP -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 -2.03333333333333 nd . PS -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 -2.25 nd . MT -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 -2.09090909090909 nd . MA -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 -2.625 nd . TE -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 -2.5 nd . PE -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 -2.1 nd . AA -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 -0.8 nd . MM -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 -1.38333333333333 nd . WA -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 nd . OT -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 ; option decimals = 3 ; ** Model endogenous variables variables md(i,j) import demand xs(i,j) export supply nt(i,j) net trade wnt(i) world net trade wsl(i) world 'slack' variable rnt(i) regional net trade rnt_1st(i) initial regional net trade pm(i,j) import price in local currency px(i,j) export price in local currency ps(i) world cmd price in US dollars pr(i) regional cmd price in US dollars rer(j) real exchange rate bop(j) balance of payments in US dollars pratio(i) relative regional to world cmd price ; positive variables md, xs, pm, px, ps, pr, rer ; ** Model endogenous variables -- Initial values I md.l(i,j) = d('md',i,j) ; xs.l(i,j) = d('xs',i,j) ; nt.l(i,j) = d('nt',i,j) ; wnt.l(i) = sum(j, nt.l(i,j)) ; wsl.l(i) = - wnt.l(i) ; rnt.l(i) = sum(k, nt.l(i,k)) ; rnt_1st.l(i) = sum(k, nt.l(i,k)) ; pm.l(i,j) = d('pm',i,j) ; px.l(i,j) = d('px',i,j) ; rer.l(j) = 1 ; bop.l(j) = 0 ; ps.l(i) = 1 ; pr.l(i) = 1 ; *$ontext ** Scale Variables md.l(i,j) = md.l(i,j)/10000000 ; xs.l(i,j) = xs.l(i,j)/10000000 ; nt.l(i,j) = xs.l(i,j) - md.l(i,j) ; wnt.l(i) = sum(j, nt.l(i,j)) ; rnt.l(i) = sum(k, nt.l(i,k)) ; rnt_1st.l(i) = rnt.l(i) ; *$offtext ** Model Parameters parameters tr(i,j) tariff rate in percent trmx(i) max tariff rate in percent--k ctys fr(i,j) NTB frequency rate in percent nd(i,j) import price elast of demand ax(i,j) export price elast of supply kb(j) capital balance in US dollars cm(i,j) import demand multiplicative intercept cx(i,j) export supply multiplicative intercept fta fta (0-1) switch ; ** Parameters Values tr(i,j) = d('tr',i,j) ; trmx(i) = smax(k, tr(i,k)) ; fr(i,j) = d('fr',i,j) ; nd(i,j) = d('nd',i,j) ; ax(i,j) = d('ax',i,j) ; fta = 0 ; cm(i,j) = md.l(i,j)/(pm.l(i,j)**nd(i,j)) ; cx(i,j) = xs.l(i,j)/(px.l(i,j)**ax(i,j)) ; kb(j) = - sum(i, nt.l(i,j)) ; display tr, nd, ax, pm.l, px.l, md.l, xs.l, nt.l, bop.l, wnt.l, rnt.l, pr.l, ps.l, rer.l ; equations eq_pr(i) regional price eq_pm(i,j) import price eq_px(i,j) export price eq_md(i,j) import demand eq_xs(i,j) export supply eq_nt(i,j) net trade eq_bop(j) balance of payments eq_wnt(i) world net trade eq_rnt(i) regional net trade cst_bop(j) bop constraint cst_wnt(i) wnt constraint; eq_pr(i).. pr(i) =e= ps(i)*[1 + sum(k, tr(i,k))/(100*card(k))]$(fta=1 and rnt.l(i) LT 0) + ps(i)$(fta=1 and rnt.l(i) GE 0) ; eq_pm(i,j).. pm(i,j) =e= (ps(i)*(1+tr(i,j)/100)/rer(j))$(not k(j)) + {[(1-fta)*ps(i)*(1+tr(i,j)/100) + fta*ps(i)]/rer(j)}$(k(j) and rnt.l(i) GT 0) + {[(1-fta)*ps(i)*(1+tr(i,j)/100) + fta*pr(i)$(pr.l(i) LE ps.l(i)*(1+tr(i,j)/100)) + fta*ps(i)*(1+tr(i,j)/100)$(pr.l(i) GT ps.l(i)*(1+tr(i,j)/100))] /rer(j)}$(k(j) and rnt.l(i) LT 0) ; eq_px(i,j).. px(i,j) =e= (1-fta)*{ps(i)/rer(j)} + fta*{[ps(i)$(not k(j)) + pr(i)$k(j)]/rer(j)} ; eq_md(i,j).. md(i,j) =e= cm(i,j)*(pm(i,j)**nd(i,j)) ; eq_xs(i,j).. xs(i,j) =e= cx(i,j)*(px(i,j)**ax(i,j)) ; eq_nt(i,j).. nt(i,j) =e= xs(i,j) - md(i,j) ; eq_bop(j).. bop(j) =e= kb(j) + sum(i, ps(i)*nt(i,j))$(not k(j)) + sum(i$(rnt.l(i) GT 0), [(1-fta)*ps(i) + fta*ps(i)]*nt(i,j))$k(j) + sum(i$(rnt.l(i) LT 0), [(1-fta)*ps(i) + fta*pr(i)$(pr.l(i) LE ps.l(i)*(1+tr(i,j)/100)) + fta*ps(i)$(pr.l(i) GT ps.l(i)*(1+tr(i,j)/100))]*nt(i,j))$k(j) ; eq_wnt(i).. wnt(i) =e= sum(j, nt(i,j)) ; eq_rnt(i).. rnt(i) =e= sum(k, nt(i,k)) ; cst_bop(j).. bop(j) =e= 0 ; cst_wnt(i).. wnt(i) =e= 0 ; model DEMO_model / eq_pr.pr eq_pm.pm eq_px.px eq_md.md eq_xs.xs eq_nt.nt eq_bop.bop eq_wnt.wnt eq_rnt.rnt cst_bop.rer cst_wnt.ps / ; ** Set Policy Variables, Parameters, Bounds & Initial Values ps.lo(i) = 0.01 ; rer.lo(j) = 0.01 ; rer.fx('USA') = 1.00 ; *bop.fx('USA') = 0 ; fta = 1.0 ; wnt.l(i) = sum(j, nt.l(i,j)) ; rnt.l(i) = sum(k, nt.l(i,k)) ; $ontext pr.l(i)= ps.l(i)*[1 + sum(k, tr(i,k))/(100*card(k))]$(fta=1 and rnt.l(i) LT 0) ; pm.l(i,j) = (ps.l(i)*(1+tr(i,j)/100)/rer.l(j))$(not k(j)) + {[(1-fta)*ps.l(i)*(1+tr(i,j)/100) + fta*ps.l(i)]/rer.l(j)}$(k(j) and rnt.l(i) GT 0) + {[(1-fta)*ps.l(i)*(1+tr(i,j)/100) + fta*pr.l(i)$(pr.l(i) LE ps.l(i)*(1+tr(i,j)/100)) + fta*ps.l(i)*(1+tr(i,j)/100)$(pr.l(i) GT ps.l(i)*(1+tr(i,j)/100))] /rer.l(j)}$(k(j) and rnt.l(i) LE 0) ; md.l(i,j) = cm(i,j)*(pm.l(i,j)**nd(i,j)) ; xs.l(i,j) = cx(i,j)*(px.l(i,j)**ax(i,j)) ; nt.l(i,j) = xs.l(i,j) - md.l(i,j) ; bop.l(j) = kb(j) + sum(i, ps.l(i)*nt.l(i,j))$(not k(j)) + sum(i$(rnt.l(i) GT 0), [(1-fta)*ps.l(i) + fta*ps.l(i)]*nt.l(i,j))$k(j) + sum(i$(rnt.l(i) LE 0), [(1-fta)*ps.l(i) + fta*pr.l(i)$(pr.l(i) LE ps.l(i)*(1+tr(i,j)/100)) + fta*ps.l(i)$(pr.l(i) GT ps.l(i)*(1+tr(i,j)/100))]*nt.l(i,j))$k(j) ; $offtext *display tr, nd, ax, pm.l, px.l, md.l, xs.l, bop.l, wnt.l, rnt.l, rsl.l, pr.l, ps.l, rer.l ; ** Solve model * DEMO_model.optfile = 1 ; option mcp = miles ; solve DEMO_model using mcp ; * option decimals = 4 ; pratio.l(i) = pr.l(i)/ps.l(i) ; display tr, nd, ax, pm.l, px.l, md.l, xs.l, bop.l, wnt.l, rnt_1st.l, rnt.l, pratio.l, pr.l, ps.l, rer.l ; ** End program ..............................................