| Literature DB >> 31878352 |
Changfeng Shi1, Hui Wu1, Yung-Ho Chiu2.
Abstract
Environmental pollutant emissions have become increasingly serious, and the resulting human health problems have become the focus of social attention. In this study, 30 provinces in China were selected as the object of study, SO2, NOX (nitrogen oxide), and PM2.5 were taken as undesirable outputs, and a meta-frontier dynamic data envelopment analysis model was adopted to avoid the disadvantages of static analysis. In this paper, energy efficiency, environmental pollution efficiency, and human health efficiency were incorporated into a unified analysis framework by constructing a two-stage model of the production and health stages. The study shows that the total efficiency score of nine provinces and cities, including Beijing, is 1. However, the score of two-stage efficiency in most provinces, such as Anhui, is less than 1, and the score of production efficiency is higher than that of health efficiency. In the second stage, the average efficiency of health expenditure and medical staff input is low, so it is necessary to make targeted improvement. In this regard, it is necessary for the government to increase health expenditure to improve the overall level of health efficiency.Entities:
Keywords: health efficiency; meta-frontier; pollutant emissions; two-stage dynamic DEA; undesirable outputs
Year: 2019 PMID: 31878352 PMCID: PMC7151135 DOI: 10.3390/healthcare8010005
Source DB: PubMed Journal: Healthcare (Basel) ISSN: 2227-9032
Figure 1Network model.
Input and output variables.
| Input Variables | Output Variables | Link | Carry Over | |
|---|---|---|---|---|
| Stage 1 | Industrial Labor | Industrial GDP | NOX, SO2 | Industrial |
| Energy Consumption | PM2.5 | |||
| Stage 2 | Health Expenditure | Mortality Rate | ||
| Medical Staff | Life Expectancy |
Figure 2Input-output statistics from 2013 to 2016.
Efficiency by city from 2013 to 2016.
| DMU | Total | Rank | 2013 | 2014 | 2015 | 2016 |
|---|---|---|---|---|---|---|
| Anhui | 1 | 1 | 1 | 1 | 1 | 1 |
| Beijing | 0.6063 | 16 | 0.6014 | 0.7243 | 0.8394 | 0.8906 |
| Fujian | 0.3579 | 28 | 0.4095 | 0.4605 | 0.4756 | 0.4925 |
| Gansu | 1 | 1 | 1 | 1 | 1 | 1 |
| Guangdong | 0.3619 | 25 | 0.4783 | 0.5068 | 0.4787 | 0.5329 |
| Guangxi | 0.4046 | 23 | 0.5572 | 0.5827 | 0.5469 | 0.6194 |
| Guizhou | 0.3597 | 26 | 0.5616 | 0.5454 | 0.5028 | 0.4999 |
| Hainan | 0.5328 | 19 | 0.7039 | 0.7248 | 0.7499 | 0.8288 |
| Hebei | 0.5409 | 18 | 0.7036 | 0.8025 | 0.7504 | 0.6771 |
| Henan | 0.8178 | 11 | 1 | 0.7795 | 0.9630 | 0.7988 |
| Heilongjiang | 0.8594 | 10 | 0.9309 | 0.9200 | 0.9043 | 0.9299 |
| Hubei | 0.5060 | 20 | 0.6384 | 0.6498 | 0.6259 | 0.6513 |
| Hunan | 0.6645 | 15 | 0.8926 | 0.8889 | 0.8735 | 0.5685 |
| Jilin | 1 | 1 | 1 | 1 | 1 | 1 |
| Jiangsu | 1 | 1 | 1 | 1 | 1 | 1 |
| Jiangxi | 1 | 1 | 1 | 1 | 1 | 1 |
| Liaoning | 0.5535 | 17 | 0.7587 | 0.6685 | 0.6486 | 0.6223 |
| Inner Mongolia | 0.3114 | 30 | 0.4336 | 0.4342 | 0.3731 | 0.3948 |
| Ningxia | 0.7836 | 12 | 0.8722 | 0.9364 | 0.9155 | 0.8518 |
| Qinghai | 1 | 1 | 1 | 1 | 1 | 1 |
| Shandong | 0.3725 | 24 | 0.6051 | 0.6006 | 0.5913 | 0.5996 |
| Shanxi | 1 | 1 | 1 | 1 | 1 | 1 |
| Shaanxi | 1 | 1 | 1 | 1 | 1 | 1 |
| Shanghai | 0.3529 | 29 | 0.4635 | 0.4624 | 0.4459 | 0.4428 |
| Sichuan | 0.6885 | 14 | 0.8404 | 0.8661 | 0.8516 | 0.8737 |
| Tianjin | 0.4930 | 21 | 0.5856 | 0.6375 | 0.6290 | 0.6842 |
| Xinjiang | 1 | 1 | 1 | 1 | 1 | 1 |
| Yunnan | 0.6063 | 16 | 0.6014 | 0.7243 | 0.8394 | 0.8906 |
| Zhejiang | 0.3579 | 28 | 0.4095 | 0.4605 | 0.4756 | 0.4925 |
| Chongqing | 1 | 1 | 1 | 1 | 1 | 1 |
2013–2016 group efficiency.
| Total | 2013 | 2014 | 2015 | 2016 | |
|---|---|---|---|---|---|
| Group 1 | 0.846786 | 0.849984 | 0.852496 | 0.855553 | 0.829112 |
| Group 2 | 0.815461 | 0.808727 | 0.826673 | 0.818157 | 0.808287 |
Two stage efficiencies by provinces from 2013 to 2016.
| DMU | Total | Rank | Stage 1 | Stage 2 | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2013 | 2014 | 2015 | 2016 | Average | Rank | 2013 | 2014 | 2015 | 2016 | Average | Rank | |||
| Anhui | 0.4325 | 22 | 0.7263 | 0.8102 | 0.7851 | 0.800 | 0.7804 | 22 | 0.5017 | 0.4882 | 0.4523 | 0.5770 | 0.5048 | 20 |
| Beijing | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Fujian | 0.7182 | 13 | 1 | 1 | 1 | 1 | 1 | 1 | 0.7603 | 0.7591 | 0.7666 | 0.7768 | 0.7657 | 13 |
| Gansu | 0.3585 | 27 | 0.4484 | 0.4621 | 0.3491 | 0.3700 | 0.4074 | 30 | 0.4028 | 0.3580 | 0.3533 | 0.3611 | 0.3688 | 27 |
| Guangdong | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Guangxi | 0.6063 | 16 | 0.8375 | 0.9479 | 1 | 1 | 0.9464 | 16 | 0.3652 | 0.5007 | 0.6788 | 0.7813 | 0.5815 | 16 |
| Guizhou | 0.3579 | 28 | 0.4549 | 0.5743 | 0.5940 | 0.6550 | 0.5696 | 27 | 0.3641 | 0.3467 | 0.3572 | 0.3301 | 0.3495 | 30 |
| Hainan | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Hebei | 0.3619 | 25 | 0.6458 | 0.6721 | 0.6061 | 0.6408 | 0.6412 | 25 | 0.3109 | 0.3415 | 0.3513 | 0.4251 | 0.3572 | 29 |
| Henan | 0.4046 | 23 | 0.7274 | 0.7714 | 0.7189 | 0.7220 | 0.7349 | 23 | 0.3871 | 0.3941 | 0.3748 | 0.5167 | 0.4182 | 25 |
| Heilongjiang | 0.3597 | 26 | 0.6278 | 0.6563 | 0.5636 | 0.5670 | 0.6037 | 26 | 0.4954 | 0.4345 | 0.4419 | 0.4328 | 0.4512 | 22 |
| Hubei | 0.5328 | 19 | 0.8607 | 0.9184 | 0.9629 | 1 | 0.9355 | 17 | 0.5471 | 0.5312 | 0.5369 | 0.6576 | 0.5682 | 17 |
| Huna | 0.5409 | 18 | 0.9327 | 1 | 0.9663 | 0.9177 | 0.9542 | 14 | 0.4744 | 0.6050 | 0.5345 | 0.4366 | 0.5126 | 18 |
| Jilin | 0.8178 | 11 | 1 | 0.9797 | 0.9919 | 0.9710 | 0.9857 | 13 | 1 | 0.5793 | 0.9341 | 0.6265 | 0.7850 | 12 |
| Jiangsu | 0.8594 | 10 | 1 | 1 | 1 | 1 | 1 | 1 | 0.8618 | 0.8401 | 0.8086 | 0.8598 | 0.8426 | 10 |
| Jiangxi | 0.5060 | 20 | 0.8498 | 0.8746 | 0.8431 | 0.8257 | 0.8483 | 19 | 0.4271 | 0.4250 | 0.4087 | 0.4769 | 0.4344 | 24 |
| Liaoning | 0.6645 | 15 | 1 | 1 | 1 | 0.5693 | 0.8923 | 18 | 0.7851 | 0.7778 | 0.7470 | 0.5677 | 0.7194 | 15 |
| Inner Mongolia | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Ningxia | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Qinghai | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Shandong | 0.5535 | 17 | 0.9347 | 0.8242 | 0.8009 | 0.8132 | 0.8433 | 20 | 0.5827 | 0.5129 | 0.4963 | 0.4315 | 0.5059 | 19 |
| Shanxi | 0.3114 | 30 | 0.4832 | 0.4972 | 0.3874 | 0.4131 | 0.4453 | 29 | 0.3839 | 0.3711 | 0.3588 | 0.3764 | 0.3726 | 26 |
| Shaanxi | 0.7836 | 12 | 1 | 1 | 1 | 1 | 1 | 1 | 0.7443 | 0.8727 | 0.8311 | 0.7035 | 0.7879 | 11 |
| Shanghai | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Sichuan | 0.3725 | 24 | 0.7438 | 0.7493 | 0.6914 | 0.6702 | 0.7137 | 24 | 0.4664 | 0.4518 | 0.4912 | 0.5289 | 0.4846 | 21 |
| Tianjin | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Xinjiang | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Yunnan | 0.3529 | 29 | 0.5566 | 0.5638 | 0.5317 | 0.5363 | 0.5471 | 28 | 0.3704 | 0.3610 | 0.3601 | 0.3493 | 0.3602 | 28 |
| Zhejiang | 0.6885 | 14 | 0.9178 | 0.9721 | 0.9122 | 1 | 0.9505 | 15 | 0.7631 | 0.7602 | 0.7910 | 0.7474 | 0.7654 | 14 |
| Chongqing | 0.4930 | 21 | 0.6799 | 0.8230 | 0.8572 | 0.9092 | 0.8174 | 21 | 0.4913 | 0.4520 | 0.4008 | 0.4591 | 0.4508 | 23 |
Group efficiency in 2013–2016.
| Stage 1 | Stage 2 | |||||||
|---|---|---|---|---|---|---|---|---|
| 2013 | 2014 | 2015 | 2016 | 2013 | 2014 | 2015 | 2016 | |
| Group 1 | 0.8762 | 0.8970 | 0.8899 | 0.8878 | 0.8237 | 0.8080 | 0.8212 | 0.7704 |
| Group 2 | 0.8366 | 0.8629 | 0.8500 | 0.8488 | 0.7808 | 0.7904 | 0.7864 | 0.7678 |
Figure A1Efficiency of the second stage input-output indicator in 2013–2016.
Figure A2Efficiency of the second stage input-output indicator in 2013–2016.
Undesirable output efficiency in 2013–2016.
| DMU | S02 | NOX | PM2.5 | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2013 | 2014 | 2015 | 2016 | 2013 | 2014 | 2015 | 2016 | 2013 | 2014 | 2015 | 2016 | |
| Anhui | 0.9297 | 0.8740 | 0.7760 | 1 | 0.6058 | 0.5719 | 0.5312 | 0.6265 | 1 | 0.9490 | 0.8902 | 0.8773 |
| Beijing | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Fujian | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Gansu | 0.3382 | 0.1591 | 0.1532 | 0.2386 | 0.5566 | 0.2954 | 0.2883 | 0.3461 | 0.6201 | 0.7126 | 0.6721 | 0.5998 |
| Guangdong | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Guangxi | 0.4523 | 0.7510 | 1 | 1 | 0.5405 | 0.8242 | 1 | 1 | 0.5177 | 0.7460 | 1 | 1 |
| Guizhou | 0.2590 | 0.1664 | 0.1690 | 0.1838 | 0.5531 | 0.3646 | 0.3810 | 0.3254 | 0.7726 | 0.8665 | 0.9025 | 0.8204 |
| Hainan | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Hebei | 0.4742 | 0.5080 | 0.4733 | 0.5393 | 0.4123 | 0.4182 | 0.3909 | 0.3868 | 0.7183 | 0.6896 | 0.7571 | 1 |
| Henan | 0.5997 | 0.6273 | 0.5711 | 1 | 0.5212 | 0.5455 | 0.5195 | 0.6470 | 0.8931 | 0.9035 | 0.9310 | 0.7780 |
| Heilongjiang | 0.8025 | 0.5546 | 0.5544 | 0.4472 | 0.5892 | 0.3952 | 0.4230 | 0.3176 | 1 | 0.9886 | 1 | 1 |
| Hubei | 0.9141 | 0.9276 | 0.8321 | 1 | 1 | 1 | 0.9191 | 1 | 0.9130 | 0.9639 | 0.9219 | 1 |
| Huna | 0.7580 | 1 | 0.8439 | 0.5692 | 0.9066 | 1 | 1 | 0.6199 | 0.6841 | 1 | 0.8401 | 0.7459 |
| Jilin | 1 | 0.8602 | 0.9496 | 0.6616 | 1 | 0.6288 | 0.9302 | 0.5493 | 1 | 1 | 0.9931 | 1 |
| Jiangsu | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Jiangxi | 0.4667 | 0.4741 | 0.4322 | 0.6675 | 0.5543 | 0.5433 | 0.5223 | 0.4672 | 0.8123 | 0.8567 | 0.8078 | 0.8376 |
| Liaoning | 1 | 1 | 1 | 0.5952 | 1 | 1 | 1 | 0.6376 | 1 | 1 | 1 | 1 |
| Inner Mongolia | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Ningxia | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Qinghai | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Shandong | 0.7511 | 0.6456 | 0.7577 | 0.4510 | 0.7884 | 0.7030 | 0.7710 | 0.5193 | 0.9484 | 0.9269 | 0.7808 | 1 |
| Shanxi | 0.3145 | 0.2968 | 0.3043 | 0.3705 | 0.3828 | 0.3561 | 0.3801 | 0.3348 | 0.9938 | 0.9488 | 0.8165 | 0.7895 |
| Shaanxi | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Shanghai | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Sichuan | 0.6810 | 0.6860 | 0.6658 | 0.6410 | 1 | 1 | 0.9037 | 0.8798 | 0.9332 | 0.8353 | 1 | 1 |
| Tianjin | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Xinjiang | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Yunnan | 0.2366 | 0.1978 | 0.1925 | 0.1722 | 0.4082 | 0.3443 | 0.3280 | 0.2645 | 1 | 1 | 1 | 1 |
| Zhejiang | 0.9751 | 0.9814 | 0.8673 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Chongqing | 0.5752 | 0.5235 | 0.4053 | 0.5404 | 1 | 0.8859 | 0.7284 | 0.7729 | 0.7001 | 0.6376 | 0.6044 | 0.6429 |
| Average | 0.7843 | 0.7745 | 0.7649 | 0.7693 | 0.8273 | 0.7959 | 0.8006 | 0.7565 | 0.9169 | 0.9342 | 0.9306 | 0.9364 |
The four-year average output value of the output indicator.
| DMU | GDP | SO2 | NOX | PM2.5 |
|---|---|---|---|---|
| Anhui | 3763 | 67,582 | 137,758 | 82 |
| Beijing | 6888 | 170,637 | 246,392 | 78 |
| Fujian | 13,135 | 1,093,104 | 1,410,596 | 88 |
| Gansu | 4955 | 1,067,685 | 957,801 | 56 |
| Guangdong | 7705 | 1,131,954 | 1,105,052 | 42 |
| Guangxi | 10,762 | 874,526 | 825,183 | 55 |
| Guizhou | 6167 | 326,176 | 478,037 | 54 |
| Hainan | 4394 | 438,974 | 666,666 | 44 |
| Hebei | 7305 | 162,272 | 295,020 | 53 |
| Henan | 27,730 | 812,899 | 1,142,140 | 62 |
| Heilongjiang | 17,120 | 493,397 | 607,231 | 48 |
| Hubei | 9419 | 438,989 | 724,899 | 57 |
| Huna | 10,600 | 311,025 | 372,716 | 28 |
| Jilin | 6860 | 474,268 | 505,621 | 46 |
| Jiangsu | 25,776 | 1,473,850 | 1,474,476 | 81 |
| Jiangxi | 15,903 | 1,002,510 | 1,264,578 | 78 |
| Liaoning | 11,300 | 505,018 | 524,611 | 67 |
| Inner Mongolia | 10,758 | 551,812 | 514,625 | 58 |
| Ningxia | 29,737 | 631,019 | 1,041,478 | 38 |
| Qinghai | 6211 | 390,209 | 405,760 | 50 |
| Shandong | 489 | 28,559 | 86,693 | 21 |
| Shanxi | 5387 | 464,693 | 313,875 | 62 |
| Shaanxi | 11,373 | 704,740 | 546,652 | 64 |
| Shanghai | 3215 | 853,060 | 461,348 | 44 |
| Sichuan | 3851 | 602,431 | 479,713 | 29 |
| Tianjin | 7611 | 660,034 | 618,080 | 70 |
| Xinjiang | 1989 | 495,057 | 376,648 | 48 |
| Yunnan | 916 | 143,857 | 119,698 | 56 |
| Zhejiang | 985 | 340,306 | 351,737 | 48 |
| Chongqing | 2881 | 735,357 | 771,496 | 66 |
Figure A3Comparison of the average output values of the output indicators over four years.
Rate of change in index efficiency after grouping.
| DMU | Cluster | Energy | SO2 | NOX | PM2.5 | Health Expenditure | Medical Staff |
|---|---|---|---|---|---|---|---|
| Anhui | 1 | 13% | 40% | 13% | −60% | −27% | −13% |
| Fujian | 1 | 3% | 43% | 3% | 3% | −13% | −43% |
| Hebei | 1 | 17% | −7% | 10% | 7% | 43% | −7% |
| Henan | 1 | 10% | 33% | 17% | 10% | −3% | 3% |
| Hubei | 1 | 10% | 40% | 13% | −53% | −23% | −10% |
| Hunan | 1 | −7% | −23% | −3% | 7% | −27% | −23% |
| Jiangsu | 1 | 3% | 10% | 3% | 3% | 30% | 7% |
| Jiangxi | 1 | −40% | −57% | −13% | −77% | −17% | −23% |
| Liaoning | 1 | −50% | −23% | −47% | 3% | −63% | −37% |
| Shandong | 1 | 13% | −20% | 10% | 10% | 47% | 20% |
| Sichuan | 1 | 13% | −3% | 23% | −57% | 50% | −7% |
| Zhejiang | 1 | 10% | −23% | 43% | 3% | −33% | 7% |
| Gansu | 2 | −17% | −27% | −13% | 3% | 20% | 20% |
| Guangxi | 2 | −53% | 7% | −57% | −83% | 40% | 17% |
| Guizhou | 2 | 0% | −7% | 13% | 13% | 17% | 33% |
| Heilongjiang | 2 | 0% | −37% | 3% | −50% | 7% | 20% |
| Jilin | 2 | −43% | −17% | −60% | −47% | −57% | −30% |
| Shanxi | 2 | 0% | −10% | −3% | 13% | −10% | −3% |
| Shaanxi | 2 | 3% | 77% | 3% | 3% | −7% | 20% |
| Anhui | 2 | −17% | −43% | −27% | 3% | 40% | −13% |
| Fujian | 2 | −70% | −27% | −53% | −93% | −13% | −3% |