Table 2.
Indicator weight values and their rankings calculated by the CDFA and LTDM.
| Specific indicators | indicator | LTDM weight | CDFA weight |
|---|---|---|---|
| Financial Institutions’ Deposit-Loan Ratio | X1 | 0.1468(14) | 0.0644(5) |
| Public Finance Revenue-Expenditure Ratio | X2 | 0.1648(9) | 0.0401(12) |
| Agricultural Output Growth | X3 | 0.1905(7) | 0.0287(16) |
| Mean Nighttime Light Intensity | X4 | 0.1223(16) | 0.0318(15) |
| Consumption Rate | X5 | 0.2111(5) | 0.0477(8) |
| Per Capita Retail Sales of Consumer Goods | X6 | 0.2595(4) | 0.0717(4) |
| Industrial Structure Advancement Index | X7 | 0.1602(10) | 0.0255(18) |
| PM₂.₅ Index | X8 | 0.1599(11) | 0.0438(10) |
| CO₂ Emissions | X9 | 0.1526(13) | 0.0353(14) |
| Chemical Fertilizer Usage per Unit of Cultivated Area | X10 | 0.1577(12) | 0.0412(11) |
| Pesticide Usage per Unit of Cultivated Area | X11 | 0.1014(19) | 0.0729(3) |
| Urbanization Rate | X12 | 0.1781(8) | 0.0482(7) |
| Urban-Rural Income Coordination Index | X13 | 0.1289(15) | 0.0286(17) |
| Physicians per 1000 People | X14 | 0.195(6) | 0.0458(9) |
| Hospital beds per 1000 People | X15 | 0.5106(1) | 0.0381(13) |
| Social Welfare Recipients per 10,000 People | X16 | 0.3609(3) | 0.021(19) |
| Social Welfare Beds per 1000 People | X17 | 0.4192(2) | 0.0634(6) |
| Economic Association Intensity | X18 | 0.1211(17) | 0.1145(2) |
| County Association Intensity | X19 | 0.1039(18) | 0.1371(1) |
The numbers in parentheses indicate the descending rank order of each indicator’s weight value in the corresponding method. Unlike conventional methods constrained by a linear sum of 1 (∑wi=1), the LTDM weights represent an eigenvector governed by the Euclidean norm constraint (
); therefore, their simple mathematical sum naturally exceeds 1.