An Open Access Journal
Provinces | \( {D}_0^{15}\left({x}_0^{15},{y}_0^{15}\right) \) | \( {D}_0^{15}\left({x}_0^{16},{y}_0^{16}\right) \) | \( {D}_0^{16}\left({x}_0^{16},{y}_0^{16}\right) \) | \( {D}_0^{16}\left({x}_0^{15},{y}_0^{15}\right) \) | OEC | OTC | OMPI |
\( {\overset{\sim }{\boldsymbol{D}}}_{\mathbf{0}}^{\mathbf{15}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{15}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{15}}\right) \) | \( {\overset{\sim }{\boldsymbol{D}}}_{\mathbf{0}}^{\mathbf{15}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{16}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{16}}\right) \) | \( {\overset{\sim }{\boldsymbol{D}}}_{\mathbf{0}}^{\mathbf{16}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{16}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{16}}\right) \) | \( {\overset{\sim }{\boldsymbol{D}}}_{\mathbf{0}}^{\mathbf{16}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{15}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{15}}\right) \) | ||||
OMPI | |||||||
 Azerbaijan E | 0.2863 | 0.1908 | 0.3343 | 0.5138 | 1.1676 | 0.5640 | 0.6585 |
 Azerbaijan W | 0.2927 | 0.1617 | 0.2812 | 0.5291 | 0.9606 | 0.5641 | 0.5419 |
 Ardabil | 0.3970 | 0.2940 | 0.4724 | 0.6423 | 1.1899 | 0.6202 | 0.7380 |
 Isfahan | 0.2740 | 0.1480 | 0.2353 | 0.4553 | 0.8587 | 0.6152 | 0.5282 |
 Alborz | 1.7734 | 0.6387 | 1.5789 | 2.1783 | 0.8903 | 0.5739 | 0.5109 |
 Ilam | 1.1475 | 1.0624 | 1.3190 | 1.3890 | 1.1494 | 0.8158 | 0.9376 |
 Bushehr | 0.5171 | 0.3292 | 0.5236 | 1.0139 | 1.0125 | 0.5663 | 0.5733 |
 Tehran | 0.4281 | 0.0988 | 0.1575 | 1.0094 | 0.3679 | 0.5157 | 0.1897 |
 Chaharmahal and Bakhtiari | 1.0309 | 0.3343 | 0.6007 | 1.0945 | 0.5827 | 0.7240 | 0.4219 |
 Khorasan S | 0.5001 | 0.4181 | 0.6784 | 1.0646 | 1.3565 | 0.5381 | 0.7299 |
 Khorasan R | 0.1673 | 0.1249 | 0.2047 | 0.2801 | 1.2233 | 0.6039 | 0.7387 |
 Khorasan N | 0.4571 | 0.3370 | 0.5569 | 0.7962 | 1.2183 | 0.5894 | 0.7181 |
 Khuzestan | 1.0381 | 0.2455 | 0.4288 | 1.2626 | 0.4131 | 0.6862 | 0.2834 |
 Zanjan | 0.3010 | 0.2409 | 0.3922 | 0.5116 | 1.3030 | 0.6011 | 0.7832 |
 Semnan | 0.3173 | 0.3053 | 0.4869 | 0.5058 | 1.5347 | 0.6271 | 0.9625 |
 Sistan and Baluchistan | 0.2136 | 0.1267 | 0.2079 | 0.3412 | 0.9732 | 0.6176 | 0.6011 |
 Fars | 0.2824 | 0.1850 | 0.2984 | 0.4959 | 1.0566 | 0.5941 | 0.6278 |
 Qazvin | 0.4634 | 0.3990 | 0.6651 | 1.0423 | 1.4351 | 0.5165 | 0.7412 |
 Qom | 0.4203 | 0.3252 | 0.5034 | 1.0056 | 1.1977 | 0.5196 | 0.6223 |
 Kurdistan | 0.2615 | 0.2211 | 0.3895 | 0.4603 | 1.4892 | 0.5679 | 0.8457 |
 Kerman | 0.1914 | 0.1552 | 0.2612 | 0.3279 | 1.3649 | 0.5890 | 0.8038 |
 Kermamshah | 0.4265 | 0.2913 | 0.5306 | 1.0175 | 1.2441 | 0.4797 | 0.5968 |
 Kohgiluyeh and Boyer-Ahmad | 1.0360 | 0.5375 | 1.1429 | 1.2945 | 1.1032 | 0.6135 | 0.6768 |
 Golestan | 0.4128 | 0.3147 | 0.6022 | 1.0148 | 1.4589 | 0.4610 | 0.6726 |
 Guilan | 0.3162 | 0.2589 | 0.4472 | 0.5545 | 1.4141 | 0.5746 | 0.8125 |
 Lorestan | 0.1672 | 0.1122 | 0.1849 | 0.3008 | 1.1056 | 0.5809 | 0.6422 |
 Mazandaran | 0.3851 | 0.3095 | 0.5226 | 1.0263 | 1.3570 | 0.4714 | 0.6397 |
 Markazi | 0.3026 | 0.1894 | 0.3209 | 0.5100 | 1.0604 | 0.5919 | 0.6276 |
 Hormozgan | 1.0160 | 0.5313 | 1.1155 | 1.3389 | 1.0979 | 0.6012 | 0.6601 |
 Hamedan | 0.2295 | 0.1696 | 0.3021 | 0.4176 | 1.3165 | 0.5554 | 0.7311 |
 Yazd | 0.6286 | 0.3213 | 0.5235 | 1.2915 | 0.8328 | 0.5465 | 0.4551 |
Mean | Â | Â | Â | Â | 1.0706 | 0.5795 | 0.6204 |
Provinces | \( {d}_0^{15}\left({x}_0^{15},{y}_0^{15}\right) \) | \( {d}_0^{15}\left({x}_0^{16},{y}_0^{16}\right) \) | \( {d}_0^{16}\left({x}_0^{16},{y}_0^{16}\right) \) | \( {d}_0^{16}\left({x}_0^{15},{y}_0^{15}\right) \) | PEC | PTC | PMPI |
\( {\boldsymbol{d}}_{\mathbf{0}}^{\mathbf{15}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{15}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{15}}\right) \) | \( {\overset{\sim }{\boldsymbol{d}}}_{\mathbf{0}}^{\mathbf{15}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{16}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{16}}\right) \) | \( {\overset{\sim }{\boldsymbol{d}}}_{\mathbf{0}}^{\mathbf{16}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{16}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{16}}\right) \) | \( {\overset{\sim }{\boldsymbol{d}}}_{\mathbf{0}}^{\mathbf{16}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{15}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{15}}\right) \) | ||||
PMPI | |||||||
 Azerbaijan E | 1.8027 | 0.9952 | 2.0065 | 3.4933 | 1.1130 | 0.5059 | 0.5631 |
 Azerbaijan W | 1.8450 | 0.9132 | 1.6839 | 3.3195 | 0.9126 | 0.5490 | 0.5011 |
 Ardabil | 2.6402 | 1.9507 | 3.1363 | 4.2084 | 1.1879 | 0.6247 | 0.7420 |
 Isfahan | 1.6224 | 0.8902 | 1.5026 | 2.9699 | 0.9261 | 0.5689 | 0.5269 |
 Alborz | 6.9547 | 4.5652 | 7.1264 | 10.8206 | 1.0247 | 0.6417 | 0.6575 |
 Ilam | 3.7500 | 3.6444 | 7.7097 | 8.4609 | 2.0559 | 0.4577 | 0.9410 |
 Bushehr | 3.4279 | 2.1886 | 3.4073 | 5.6397 | 0.9940 | 0.6248 | 0.6211 |
 Tehran | 3.0670 | 0.6598 | 0.8579 | 4.7441 | 0.2797 | 0.7051 | 0.1972 |
 Chaharmahal and Bakhtiari | 3.4720 | 2.0628 | 3.8560 | 6.8044 | 1.1106 | 0.5225 | 0.5802 |
 Khorasan S | 3.0937 | 2.5899 | 4.3876 | 5.8182 | 1.4182 | 0.5602 | 0.7945 |
 Khorasan R | 0.9089 | 0.7301 | 0.9875 | 1.7403 | 1.0864 | 0.6214 | 0.6751 |
 Khorasan N | 2.9191 | 2.1175 | 3.6344 | 4.9800 | 1.2451 | 0.5844 | 0.7276 |
 Khuzestan | 3.4037 | 0.9210 | 2.5899 | 6.0655 | 0.7609 | 0.4467 | 0.3399 |
 Zanjan | 1.8868 | 1.5159 | 2.5513 | 3.3254 | 1.3522 | 0.5806 | 0.7851 |
 Semnan | 2.0413 | 1.9541 | 3.1181 | 3.2418 | 1.5275 | 0.6282 | 0.9595 |
 Sistan and Baluchistan | 0.9427 | 0.7047 | 0.8512 | 2.1527 | 0.9029 | 0.6021 | 0.5436 |
 Fars | 1.8157 | 0.9518 | 1.9661 | 3.2007 | 1.0828 | 0.5240 | 0.5674 |
 Qazvin | 3.1530 | 2.7874 | 4.3957 | 5.1310 | 1.3941 | 0.6242 | 0.8703 |
 Qom | 0.9994 | 0.9206 | 3.5998 | 4.7038 | 3.6019 | 0.2331 | 0.8396 |
 Kurdistan | 0.9609 | 0.9374 | 0.9770 | 2.3753 | 1.0168 | 0.6230 | 0.6334 |
 Kerman | 0.9895 | 0.9189 | 1.6322 | 2.1255 | 1.6495 | 0.5120 | 0.8445 |
 Kermamshah | 2.7598 | 1.8778 | 3.2442 | 4.7679 | 1.1755 | 0.5788 | 0.6804 |
 Kohgiluyeh and Boyer-Ahmad | 4.1917 | 3.4689 | 6.2438 | 8.0350 | 1.4896 | 0.5384 | 0.8019 |
 Golestan | 2.8295 | 2.0083 | 3.5271 | 4.6297 | 1.2466 | 0.5899 | 0.7354 |
 Guilan | 2.0408 | 1.5210 | 2.7493 | 3.3825 | 1.3472 | 0.5777 | 0.7783 |
 Lorestan | 0.9032 | 0.7246 | 0.9922 | 1.9070 | 1.0985 | 0.5881 | 0.6461 |
 Mazandaran | 2.5066 | 0.9784 | 3.2417 | 4.0088 | 1.2933 | 0.4344 | 0.5618 |
 Markazi | 0.9889 | 0.9340 | 2.0174 | 3.3470 | 2.0401 | 0.3698 | 0.7545 |
 Hormozgan | 3.7247 | 3.0950 | 5.3188 | 7.2127 | 1.4280 | 0.5482 | 0.7828 |
 Hamedan | 1.3760 | 0.9527 | 1.8566 | 2.5482 | 1.3493 | 0.5264 | 0.7103 |
 Yazd | 4.1485 | 2.0537 | 3.2917 | 7.1689 | 0.7935 | 0.6009 | 0.4768 |
Mean | Â | Â | Â | Â | 1.1926 | 0.5419 | 0.6462 |