Methods for estimating beneficiary populations targeted by health and nutrition interventions for women, pregnant women, infants, and young children
Soyra Gune, Phuong H Nguyen, Suman Chakrabarti

TL;DR
This paper introduces methods to estimate how many people are eligible for health and nutrition interventions for women and children in low- and middle-income countries.
Contribution
The paper introduces new methods to estimate eligible populations and coverage for health interventions using global demographic data.
Findings
Eligible populations for health interventions declined between 2015 and 2020 in India.
Coverage improvements were partly due to shrinking eligible populations, not just increased access.
Population estimates are crucial for understanding intervention coverage in changing demographic contexts.
Abstract
Utilization of maternal and child interventions is typically tracked in low- and middle-income countries (LMICs) using coverage estimates from population representative surveys. These estimates cannot be directly applied to assess resource gaps in intervention delivery for which data on the population eligible are required. Moreover, coverage improvements may not necessarily reflect an expansion in utilization because of a decline in the population eligible. We develop a method to estimate the populations eligible for interventions across the continuum of care. The method uses data from the World Population Prospects and the Demographic Health Survey, data sources that are available for most LMICs. Additionally, we develop a method to estimate the eligible population covered by each intervention. Using the illustration of India, we estimate populations eligible for and covered by…
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Figure 1|
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| Women aged 15-49 years with a demand for contraception | Women aged 15-49 years |
Percentage of women aged 15-49 years who are in menopause or infecund, never had sex, or unmarried and not had sex in the past 30 days Percentage of currently married women aged 15-49 years who use female sterilization as a form of contraception |
| Pregnant women |
Total population Crude birth rate (per 1000) |
Percentage of children aged 0-12 months who are the second or third born in a multiple birth Percentage of pregnancies that ended in stillbirth Percentage of pregnancies that ended in fetal loss |
| Total births |
Total population Crude birth rate (per 1000) |
Percentage of pregnancies that ended in stillbirth |
| Women with children aged 0-6 months |
Total population Crude birth rate (per 1000) Infant mortality rate (per 1000) Maternal mortality rate (per 100,00 live births) |
Percentage of children aged 0-12 months who are the second or third born in a multiple birth |
| Children aged 0-59 months, 9-35 months, 6-35 months, and 12-35 months |
Total population Crude birth rate (per 1000) Under-5 mortality (per 1000) Infant mortality rate (per 1000) |
Mean mortality rate (per 1000) for each birth cohort born in the past 5 years Cumulative mortality rate (per 1000) for birth cohorts born in the past 5 years Proportion of 6-11 months deaths in total infant deaths Proportion of 9-11 months deaths in total infant deaths |
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| Step 1: Adjusting number of WRA downward for women in menopause or infecund | ||
| Number of women aged 15-49 years (1) | 341 191 494 | 364 459 975 |
| Percentage of women aged 15-49 years who are in menopause or infecund (2) | 14.1 (13.9, 14.3) | 9.2 (9.1, 9.3) |
| Number of women aged 15-49 years who are in menopause or infecund (3) Obtained by multiplying (1) and (2) | 48 108 001 (47 425 618, 48 790 384) | 33 530 318 (33 165 858, 33 894 778) |
| Number of women aged 15-49 years excluding those who are in menopause or infecund (4) Obtained by subtracting (3) from (1) | 293 083 493 (292, 401 110, 293 765 876) | 330 929 657 (330 565 197, 331 294 117) |
| Step 2: Adjusting number of WRA for women who have never had sex or are unmarried and not had sex in the past 30 days | ||
| Percentage of women who have never had sex or are unmarried and not had sex in the past 30 days (5) | 23.7 (23.5, 23.9) | 24.7 (24.6, 24.9) |
| Number of women who have never had sex or are unmarried and not had sex in the past 30 days (6) Obtained by multiplying (4) and (5) | 69 460 788 (68 714 261, 70 210 044) | 81 739 826 (81 319 038, 82 492 235) |
| Number of women aged 15-49 years who have a demand for contraception (7) Obtained by subtracting (6) from (4) | 223 622 705 (222 191 066, 225 051 615) | 249 189 831 (248 072 962, 249 975 079 |
| Step 3: Adjusting women aged 15-49 years who have an active demand for contraception downward for women using female sterilization as a form of contraception | ||
| Percentage of women (95% CI) aged 15-49 years who are using female sterilization as form of contraception (8) | 27.9 (27.6, 28.1) | 29.0 (28.8, 29.2) |
| Number of women aged 15-49 years who are using female sterilization as a form of contraception (9) Obtained by multiplying (7) with (8) | 62 390 735 (61 324 734, 63 239 504) | 72 265 051 (71 445 013, 72 992 723) |
| Number of women aged 15-49 years with a demand for contraception | 161 231 970 (158 951 562, 163 726 881) | 176 924 780 (175 080 239, 178 530 066) |
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| Step 1: Estimating number of live births | ||
| Crude birth rate (per 1000) (1) | 18.8 | 16.6 |
| Total population (2) | 1 322 866 505 | 1 396 387 127 |
| Number of live births (3) Obtained by multiplying (1) and (2) and dividing by 1000 | 24 823 590 | 23 140 927 |
| Step 2: Adjusting number of live births downward for second and third born in multiple births to obtain number of women who had a live birth | ||
| Percentage of children aged 0-12 months who are second or third born in multiple births (4) | 0.8 (0.7, 0.9) | 0.8 (0.7, 0.9) |
| Number of live births who are second or third born in multiple births (5) Obtained by multiplying (3) and (4) | 198 589 (173 765, 223 412) | 175 871 (161 986, 208 268) |
| Number of women who had a live birth (6) Obtained by subtracting (5) from (3) | 24 625 001 (24 600 178, 24 649 825) | 22 965 056 (22 932 659, 22 978 941) |
| Step 3: Adjusting number of women who had a live birth upward for stillbirths to obtain number of women who had a pregnancy that resulted in a birth | ||
| Percentage of pregnancies that ended in stillbirth (7) | 1.4 (1.3, 1.5) | 1.3 (1.3, 1.4) |
| Adjusting (6) upward for number of pregnancies that ended in stillbirths to obtain number of women who had a pregnancy that resulted in birth (8) Obtained by dividing (6) by (100%-(7)) | 24 974 646 (24 949 342, 24 974 800) | 23 267 534 (23 257 666, 23 281 602) |
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| Step 1: Estimating number of live births | ||
| Crude birth rate (per 1000) (1) | 18.8 | 16.6 |
| Total population (2) | 1 322 866 505 | 1 396 387 127 |
| Number of live births (3) Obtained by multiplying (1) and (2) and dividing by 1000 | 24 823 590 | 23 140 927 |
| Step 2: Adjusting number of live births upward for number of stillbirths to obtain number of total births | ||
| Percentage of pregnancies that ended in still births (4) | 1.4 (1.3, 1.5) | 1.3 (1.3, 1.4) |
| Number of total births Obtained by dividing (3) by (100%-(4)) | 25 176 055 (25 150 547, 25 201 614) | 23 445 721 (23 445 721, 23 469 500) |
| 2015 | 2020 | |
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| Step 1: Estimating number of live births | ||
| Crude birth rate (per 1000) (1) | 18.8 | 16.6 |
| Total population (2) | 1 322 866 505 | 1 396 387 127 |
| Number of live births (3) Obtained by multiplying (1) and (2) and dividing by 1000 | 24 823 590 | 23 140 927 |
| Step 2: Adjusting number of live births downward for maternal mortality to obtain number of live births that did not result in maternal death | ||
| Maternal mortality ratio (per 100 000 live births) (4) | 121.9 | 92.7 |
| Number of live births that resulted in maternal death (5) Obtained by multiplying (3) by (4) and dividing the product by 100 000 | 30 260 | 21 452 |
| Number of live births that did not result in maternal death (6) Obtained by subtracting (5) from (3) | 24 793 330 | 23 119 475 |
| Step 3: Adjusting number of live births downward for second and third born in multiple births to obtain number of women who had a live birth and did not die in childbirth | ||
| Percentage of living children aged 0-12 months who are second or third born in multiple births (7) | 0.8 (0.7, 0.9) | 0.8 (0.7, 0.9) |
| Number of live births who are second or third born in multiple births (8) Obtained by multiplying (6) and (7) | 198 347 (173 553, 223 140) | 184 956 (161 836, 208 075) |
| Number of women who had a live birth who did not die in childbirth (9) Obtained by subtracting (8) from (6) | 24 594 983 (24 570 190, 24 619 777) | 22 934 519 (22 911 400, 22 957 639) |
| Step 4: Number of living women who had a live birth in the past 6 months | ||
| Number of living women who had a live birth in the past 6 months Obtained by dividing (9) by 2 | 12 297 492 (12 285 095, 12 309 889) | 11 467 260 (11 455 700, 11 478 820) |
| Birth cohort |
Cohort mortality rate (per 1000) | Proportion of cumulative mortality rate (1) | Estimated cohort mortality rate (2) | Estimated cumulative mortality rate by cohort (3) |
Number of live births | Number of deaths (5) | Number of living children |
|---|---|---|---|---|---|---|---|
| Source: NFHS-4 and NFHS-5 | Obtained by dividing cohort mortality rate by cumulative mortality rate | Obtained by multiplying (1) by WPP’s estimate of U5MR | Obtained by cumulatively adding mortality rates in (2) by cohort | Source: Author’s calculation using WPP data | Obtained by multiplying (3) by (4) | Obtained by subtracting (5) from (4) | |
| 2015 | |||||||
| 0-11 | 0.0414 (0.0391, 0.0437) | 0.83 (0.80, 0.86) | 0.0350 | 0.0350 | 24 823 590 | 868 826 | 23 954 764 |
| 12-23 | 0.0031 (0.0025, 0.0037) | 0.06 (0.05, 0.07) | 0.0027 (0.0018, 0.0024) | 0.0377 (0.0368, 0.0374) | 24 901 739 | 938 106 (916 384, 931 325) | 23 963 633 (23 032 308, 23 985 355) |
| 24-35 | 0.0020 (0.0014, 0.0025) | 0.04 (0.03, 0.05) | 0.0017 (0.0012, 0.0018) | 0.0393 (0.0380, 0.0392) | 25 738 718 | 1 012 697 (978 071, 1 008 958) | 24 726 021 (24 729 760, 24 760 647) |
| 36-47 | 0.0021 (0.0016, 0.0027) | 0.04 (0.04, 0.05) | 0.0018 (0.0014, 0.0018) | 0.0412 (0.0394, 0.0413) | 26 026 303 | 1 071 885 (1 025 436, 1 074 886) | 24 954 418 (24 951 417, 25 000 867) |
| 48-59 | 0.0015 (0.0010, 0.0020) | 0.03 (0.02, 0.04) | 0.0013 (0.0007, 0.0014) | 0.0425 (0.0401, 0.0426) | 26 340 876 | 1 119 301 (1 056 269, 1 122 121) | 25 221 575 (25 218 755, 25 284 607) |
| Cumulative/U5MR | 0.0502 (0.0456, 0.0546) | 0.0430 | |||||
| 2020 | |||||||
| 0-11 | 0.0334 (0.0312, 0.0356) | 0.85 (0.82, 0.90) | 0.0283 | 0.0283 | 23 140 927 | 654 888 | 22 486 039 |
| 12-23 | 0.0023 (0.0017, 0.0029) | 0.06 (0.05, 0.07) | 0.0019 (0.0015, 0.0020) | 0.0302 (0.0298, 0.0303) | 23 580 677 | 712 982 (702 704. 714 495) | 22 867 695 (22 153 200, 22 877 973) |
| 24-35 | 0.0008 (0.0005, 0.0011) | 0.02 (0.01, 0.03) | 0.0007 (0.0003, 0.0008) | 0.0309 (0.0301, 0.0311) | 24 164 277 | 746 787 (727 345, 751 509) | 23 417 490 (23 412 768, 23 436 932) |
| 36-47 | 0.0017 (0.0012, 0.0022) | 0.04 (0.03, 0.05) | 0.0014 (0.0008, 0.0014) | 0.0323 (0.0309, 0.0325) | 24 254 999 | 783 794 (783 436, 788 287) | 23 471 205 (23 466 712, 23 471 563) |
| 48-59 | 0.0011 (0.0007, 0.0012) | 0.03 (0.02, 0.03) | 0.0010 (0.0006, 0.0010) | 0.0333 (0.0315, 0.0335) | 24 783 513 | 825 291 (780 681, 830 248) | 23 958 222 (23 953 265, 24 002 832) |
| Cumulative/U5MR | 0.0393 (0.0353,0.0430) | 0.03300 | |||||
| 2015 | 2020 | Estimated change in population covered (mn) | ||||||
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| Coverage estimate, | Population estimate (mn) | Population covered estimate (mn) | Coverage estimate, % | Population estimate (mn) | Population covered estimate (mn) | |||
| Beneficiary group | Intervention | Mean (95% CI) | Mean (PI) | Mean (PI) | Mean (95% CI) | Mean (PI) | Mean (PI) | Mean (PI) |
| Women aged 15-49 years with a demand for FP | Demand for FP satisfied by modern methods | 51.8 (51.4, 52.3) | 161.2 (159.0, 163.7) | 83.5 (81.7, 85.6) | 59.1 (58.7, 59.6) | 176.9 (175.8, 178.5) | 104.5 (103.2, 106.4) | 21.0 (17.6, 24.7) |
| Pregnant women | Any ANC | 80.2 (79.8, 80.5) | 24.9 (24.9, 24.9) | 20.0 (19.9, 20.0) | 85.3 (85.0, 85.6) | 23.3 (23.3, 23.3) | 19.9 (19.8, 19.9) | –0.1 (–0.2, 0.1) |
| ANC first trimester | 56.7 (56.3, 57.2) | 24.9 (24.9, 24.9) | 14.1 (14.0, 14.2) | 64.1 (63.7, 64.5) | 23.3 (23.3, 23.3) | 14.9 (14.8, 15.0) | 0.8 (0.6, 1.0) | |
| ≥4 ANC | 50.7 (50.2, 51.1) | 24.9 (24.9, 24.9) | 12.6 (12.5, 12.7) | 55.2 (54.8, 55.6) | 23.3 (23.3, 23.3) | 12.9 (12.8, 13.0) | 0.2 (0.0, 0.5) | |
| Received MCP card | 89.6 (89.3, 89.9) | 24.9 (24.9, 24.9) | 22.3 (22.2, 22.4) | 96.0 (95.8, 96.2) | 23.3 (23.3, 23.3) | 22.4 (22.3, 22.4) | 0.1 (–0.1, 0.2) | |
| Received IFA tab/syrup | 78.5 (78.2, 78.8) | 24.9 (24.9, 24.9) | 19.5 (19.5, 19.6) | 87.8 (87.5, 88.1) | 23.3 (23.3, 23.3) | 20.5 (20.4, 20.5) | 0.9 (0.8, 1.1) | |
| Neonatal tetanus | 89.1 (88.9, 89.4) | 24.9 (24.9, 24.9) | 22.2 (22.1, 22.3) | 91.5 (91.3, 91.7) | 23.3 (23.3, 23.3) | 21.3 (21.3, 21.4) | –0.9 (–1.0, –0.8) | |
| Deworming | 18.3 (17.9, 18.7) | 24.9 (24.9, 24.9) | 4.6 (4.5, 4.7) | 31.2 (30.8, 31.6) | 23.3 (23.3, 23.3) | 7.3 (7.2, 7.4) | 2.7 (2.5, 2.9) | |
| Weighing | 76.7 (76.3, 77.0) | 24.9 (24.9, 24.9) | 19.1 (19.0, 19.2) | 91.3 (91.0, 91.5) | 23.3 (23.3, 23.3) | 21.3 (21.2, 21.3) | 2.2 (2.0, 2.3) | |
| Breastfeeding counseling | 40.7 (40.3, 41.2) | 24.9 (24.9, 24.9) | 10.1 (10.0, 10.3) | 62.4 (61.9, 62.8) | 23.3 (23.3, 23.3) | 14.5 (14.4, 14.6) | 4.4 (4.2, 4.6) | |
| Counseling on keeping baby warm | 38.4 (37.9, 38.8) | 24.9 (24.9, 24.9) | 9.6 (9.4, 9.7) | 59.9 (59.4, 60.4) | 23.3 (23.3, 23.3) | 14.0 (13.8, 14.1) | 4.4 (4.2, 4.6) | |
| Cord care counseling | 36.3 (35.8, 36.7) | 24.9 (24.9, 24.9) | 9.0 (8.9, 9.1) | 58.3 (57.9, 58.8) | 23.3 (23.3, 23.3) | 13.6 (13.5, 13.7) | 4.5 (4.4, 4.6) | |
| Food supplementation | 53.1 (52.7, 53.6) | 24.9 (24.9, 24.9) | 13.2 (13.1, 13.3) | 67.2 (66.7, 67.6) | 23.3 (23.3, 23.3) | 15.7 (15.5, 15.8) | 2.4 (2.2, 2.6) | |
| Health and nutrition education | 39.9 (39.4, 40.3) | 24.9 (24.9, 24.9) | 9.9 (9.8, 10.0) | 60.0 (59.5, 60.2) | 23.3 (23.3, 23.3) | 14.0 (13.9, 14.0) | 4.0 (3.8, 4.2) | |
| Use of bed nets | 53.9 (53.5, 54.3) | 24.9 (24.9, 24.9) | 13.4 (13.3, 13.5) | 55.7 (55.2, 56.1) | 23.3 (23.3, 23.3) | 13.0 (12.9, 13.1) | –0.4 (–0.7, –0.3) | |
| Total births | Institutional delivery | 81.9 (81.5, 82.2) | 25.2 (25.2, 25.2) | 20.6 (20.5, 20.7) | 90.2 (90.0, 90.5) | 23,4 (23.4, 23.5) | 21.1 (21.1, 21.3) | 0.5 (0.3, 0.7) |
| Skilled birth attendant | 84.1 (83.8, 84.4) | 25.2 (25.2, 25.2) | 21.2 (21.1, 21.3) | 90.8 (90.5, 91.0) | 23,4 (23.4, 23.5) | 21.2 (21.2, 21.4) | 0.1 (–0.1, 0.3) | |
| Women with children aged 0-6 months | Food supplementation | 48.9 (48.4, 49.4) | 12.3 (12.3, 12.3) | 6.0 (6.0, 6.1) | 64.0 (63.5, 64.5) | 11.5 (11.5, 11.5) | 7.4 (7.3, 7.4) | 1.4 (1.3, 1.4) |
| Health and nutrition education | 36.0 (35.6, 36.4) | 12.3 (12.3, 12.3) | 4.4 (4.4, 4.5) | 56.4 (55.9, 56.9) | 11.5 (11.5, 11.5) | 6.5 (6.4, 6.5) | 2.1 (2.0, 2.1) | |
| Children aged 0-11 months | Full immunization | 63.0 (62.4, 63.7) | 24.0 (24.0, 24.0) | 15.1 (15.0, 15.3) | 76.5 (75.9, 77.1) | 22.5 (22.5, 22.5) | 17.2 (17.1, 17.3) | 2.1 (1.8, 2.4) |
| Children aged 6-35 months | Pediatric IFA | 26.4 (25.9, 26.9) | 60.6 (59.6, 60.7) | 16.0 (15.4, 16.3) | 38.0 (37.5, 38.5) | 57.5 (56.7, 57.5) | 21.9 (21.3, 22.1) | 5.9 (4.9, 6.7) |
| Food supplementation | 56.0 (55.5, 56.6) | 60.6 (59.6, 60.7) | 33.9 (33.1, 34.4) | 70.8 (70.2, 71.3) | 57.5 (56.7, 57.5) | 40.7 (39.8, 41.0) | 6.8 (5.4, 7.9) | |
| Children aged 9-35 months | Vitamin A | 62.8 (62.3, 63.4) | 66.6 (65.7, 66.7) | 41.8 (40.9, 42.3) | 67.7 (67.1, 68.2) | 63.1 (62.4, 63.1) | 42.7 (41.9, 43.0) | 0.9 (–0.4, 2.1) |
| Children aged 12-35 months | Deworming | 33.1 (32.5, 33.7) | 48.7 (47.8, 48.7) | 16.1 (15.5, 16.4) | 42.4 (41.9, 43.0) | 46.3 (45.6, 46.3) | 19.6 (19.1, 19.9) | 3.5 (2.7, 4.4) |
| Children with diarrhea | ORS during diarrhea | 50.7 (49.7, 51.7) | 131.0 (106.1, 158.8) | 66.4 (52.7, 82.1) | 60.4 (59.3, 61.6) | 88.3 (72.2, 105.6) | 53.3 (42.8, 65.0) | –13.1 (–39.3, 12.3) |
| Zinc during diarrhea | 20.2 (19.4, 21.0) | 131.0 (106.1, 158.8) | 26.5 (20.6, 33.3) | 30.6 (29.5, 31.7) | 88.3 (72.2, 105.6) | 27.0 (21.3, 33.5) | 0.5 (–12.0, 12.9) | |
| Children aged <5 years | Weighing | 45.0 (44.5, 45.4) | 122.8 (121.9, 123.0) | 55.3 (54.2, 55.8) | 60.9 (60.4, 61.4) | 116.2 (115.5, 116.3) | 70.8 (69.8, 71.4) | 15.5 (13.9, 17.2) |
| Counseling on child growth | 28.8 (28.4, 29.3) | 122.8 (121.9, 123.0) | 35.4(34.6, 36.0) | 45.6 (45.2, 46.1) | 116.2 (115.5, 116.3) | 53.0 (52.2, 53.6) | 17.6 (16.2, 19.0) | |
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Taxonomy
TopicsGlobal Maternal and Child Health · Child Nutrition and Water Access · Poverty, Education, and Child Welfare
Introduction
Achieving universal health coverage and reducing child malnutrition and mortality have been recognized as Sustainable Development Goals.1 Within the broader objective of universal health coverage, focus has been given to the first 1000 days of life. The scaling up of health and nutrition interventions in the first 1000 days is associated with substantial reductions in child malnutrition and mortality.2-4 These include interventions from preconception to early childhood.3-6 Multiple studies have tracked the uptake of these interventions in low- and middle-income countries (LMICs).3^,^7-12
A measure that is widely used to track uptake is coverage (proportion of individuals who received an intervention out of all eligible for it).3 There is guidance available on coverage estimation among eligible populations.4^,^13^,^14 To ensure population representative estimates, the most common method for estimating coverage is to rely on surveys that collect household and individual data on utilization of interventions. The Demographic Health Surveys (DHS) and Multiple Indicator Cluster Surveys (MICS) are typically used to assess coverage of maternal and child interventions in LMICs.4^,^15
While coverage estimates are useful for monitoring an intervention in a population, policymakers cannot directly apply these to evaluate the scale of financial, human, and infrastructural resource gaps in the delivery of an intervention. To assess these gaps, an estimate of the total population eligible for and covered by an intervention is required. As surveys interview a representative subsample of the eligible population, they cannot be used alone to estimate the total population covered by an intervention. Moreover, coverage expansion does not necessarily reflect increased utilization of an intervention. For instance, it is possible that over time, the number of children (denominator for calculating coverage) decreased due to declining fertility rates. Therefore, an increase in coverage (eg, vaccinations for children) could primarily be due to changes in the denominator rather than an increase in the number of children receiving the intervention (numerator).
In high-income countries, health systems routinely collect population data and are linked to health facilities, thus providing credible eligible population estimates for a service. However, in LMICs, due to inadequate data collection infrastructure, insufficient staff training, and inconsistent standards, health system data suffer from quality issues. Furthermore, health system data might not capture all intended beneficiaries of an intervention as data collection is often limited to public health facilities.16 An alternate approach is to triangulate coverage estimates with sources of demographic data such as censuses and vital statistics systems. Such an approach has proven to be difficult in LMICs, where censuses might be infrequently conducted, and vital statistics have been shown to underreport birth and mortality rates.17
To address these concerns, we proposed a methodology to estimate the population eligible for and covered by maternal and child health and nutrition interventions across the continuum of care. We illustrated our method using India’s National Nutrition Mission, which delivers a comprehensive and globally recommended set of health and nutrition interventions under 1 overarching program.18 Despite our focus on India, this methodology can be extended to other countries, as we utilized data sources that are available for most LMICs, and the interventions analyzed are delivered in most countries.5^,^19 To demonstrate external validity, we extended the methodology developed to Nepal to estimate the population eligible for and covered by maternal and child interventions at the national and subnational levels.
Selection of interventions
We selected health and nutrition interventions delivered across the continuum of care using India’s National Nutrition Monitoring Framework.20 Figure 1 presents the selected interventions organized by the beneficiary group. The selected interventions by group include the following:
Health and nutrition interventions delivered in the first 1000 days by beneficiary group. ANC, antenatal care; ARI, acute respiratory infection; FP, family planning; IFA, iron folic acid; MCP, mother-child protection; ORS, oral rehydration salts. Adapted from Menon et al.20
Women aged 15 to 49 years with a demand for contraception: demand for family planning satisfied Pregnant women: antenatal care (ANC), receipt of a mother-child protection card (tracks services received during pregnancy, delivery, and childhood), iron folic acid supplementation, tetanus injection, deworming, weighing, counseling, food supplementation, health and nutrition education, and use of bed nets Total births: institutional delivery, skilled birth attendant Women with children aged 0 to 6 months: food supplementation, health and nutrition education Children: iodized salt, care seeking for acute respiratory infection; oral rehydration salts and zinc during diarrhea; counseling on child growth (0-59 months); pediatric iron folic acid, food supplementation (6-35 months); vitamin A (9-35 months); deworming (12-35 months); full immunization (12-23 months)
Table S1 provides definitions for the interventions.
Data sources
Population estimates
To illustrate our method, we used data from the United Nations’ World Population Prospect 2022 (WPP) database and fourth (2015-2016) and fifth (2019-2021) rounds of the National Family Health Survey (NFHS), India’s equivalent of the DHS.19^,^21^,^22 We selected 2015 and 2020 to estimate the populations eligible and covered, as these were the midpoint years of the NFHS-4 and NFHS-5, respectively.
Table 1 provides details on data sources by beneficiary group. The WPP database uses data from nationally representative surveys to estimate populations. We extracted data for India’s total population, women aged 15 to 49 years, and crude birth, maternal mortality, infant mortality, and under-5 mortality rate from the database.
We estimated the proportion of women aged 15 to 49 years who would not have a demand for family planning, the proportion of women aged 15 to 49 years who use female sterilization as a form of contraception, and the proportion of pregnancies that ended in fetal loss (abortion or miscarriage) and stillbirth using the NFHS-4 (n = 699 686) and NFHS-5 (n = 724 115) women data sets. Additionally, we estimated the proportion of children who are second or third born in a multiple birth using the NFHS-4 (n = 259 627) and -5 (n = 232 920) child data sets. Lastly, we estimated the mean mortality rate for each cohort born in the past 5 years using the NFHS-4 (n = 250 729) and NFHS-5 (n = 224 433) birth record data. For proportions and prevalences estimated from NFHS data, we additionally derived the 95% confidence intervals for these estimates. We used these intervals to estimate the lower and upper bounds of the prediction intervals of population estimates when making adjustments.23
As the NFHS only captures diarrhea cases over a 2-week recall period, we cannot use the diarrhea prevalence from the NFHS to estimate the annual diarrhea burden. Instead, we obtained the annual diarrhea incidence for 2015 and 2020 from the Global Burden of Disease 2021.24
Coverage of health and nutrition interventions
We used child-level data from the NFHS-4 (n = 178 874) and NFHS-5 (n = 170 697) to estimate the population-weighted coverage of health and nutrition interventions. As most questions about the receipt of health and nutrition interventions are asked with regard to the most recent birth in the NFHS-4 and NFHS-5, we only included the youngest child born in the 5 years preceding the survey in our sample for estimating coverage based on DHS and India’s programmatic guidelines.20
Estimating beneficiary populations
We developed methodologies to estimate the eligible population for the groups of interest.
Women aged 15 to 49 years with a demand for contraception
Equation 1 was employed to calculate the number of women with a demand for contraception:
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} \begin{align*}&\notag Women\ with\ a\ demand\ for\ contraception= Women\ of\ repoductive\\ &\quad age- women\ in\ menopause- women\ who\ are\ infecund- women\notag\\ &\quad not\ engaged\ in\ sexual\ activity- women\ using\ female\ sterilization\dots \end{align*}\end{document}Women with a demand for family planning is defined as the number of women aged 15 to 49 years who have a met or unmet need for contraception for limiting or spacing. Therefore, women who are in menopause, are infecund, have never had sex, are unmarried, and have not had sex in the past 30 days were excluded from the population eligible for this intervention.13 Additionally, as sterilized women are less likely to seek out family planning services, which consist of access to various modern contraception methods in LMICs, we exclude women using female sterilization as a form of contraception from the target population.25 Thus, downward adjustments were made to the number of women aged 15 to 49 years to arrive at the number of women with a demand for contraception. The number of women with a demand for contraception was 161.2 million (160.0-163.7 million) in 2015 and 176.9 million (175.1-178.5 million) in 2020 (Table 2).
Pregnant women
The number of women who had a pregnancy that resulted in a birth is the preferred estimate of the population eligible for pregnancy interventions, as these women are most likely to seek our health services across all 3 trimesters.26
Equation 2 was employed to calculate the number of women who had a pregnancy that resulted in a birth:
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} \begin{align*}& Number\ of\ women\ who\ had\ a\ pregnancy\ that\ resulted\ in\notag\\&\quad birth= Number\ of\ live\ births- number\ of\ multiple\ births+ number\notag\\&\quad of\ stillbirths\dots \end{align*}\end{document}First, the number of live births was calculated by multiplying the crude birth rate by the total population. Second, the number of live births was adjusted downward to account for the proportion of multiple births to arrive at the number of women who had a live birth. Third, the number of women who had a live birth was adjusted upward for the percentage of pregnancies that ended in a stillbirth using the following equation:
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} $$ {B}_l=\left(1-s\right)\ast{B}_t $$\end{document} \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} \begin{equation*} {B}_t=\frac{B_l}{\left(1-s\right)}\dots \end{equation*}\end{document}Here, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} {B}_l\end{document} is the number of women who had a birth that resulted in a live birth, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} \left(1-s\right)\end{document} is the proportion of live births in the total number of births, and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} {B}_t\end{document} is the total number of women who had a birth. \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} s\end{document} is the proportion of woman who had a birth that resulted in a stillbirth.
The number of women with a pregnancy that resulted in a birth was 24.9 million (24.9-24.9 million) in 2015 and 23.3 million (23.3-23.3 million) in 2020 (Table 3).
Total births
The number of total births was estimated by adjusting the number of live births upward for stillbirth, assuming that pregnancies that ended in a stillbirth are eligible for interventions during delivery. Equation 4 was employed to calculate the number of total births:
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} \begin{equation*} Total\ births= Number\ of\ live\ births+ number\ of\ stillbirths\dots \end{equation*}\end{document}The number of total births was 25.2 million (25.2-25.2 million) in 2015 and 23.4 million (23.4-23.5 million) in 2020 (Table 4).
Women with children aged 0 to 6 months
Equation 5 was used to estimate the number of women with children aged 0 to 6 months:
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} \begin{align*}& Women\ with\ children\ aged\notag\\&\quad 0-6\ months=\frac{\begin{array}{c}Live\ births- live\ births\ resulting\ in\ maternal\\ death- number\ of\ multiple\ live\ births\end{array}}{2}\dots \end{align*}\end{document}First, the number of live births was adjusted downward for maternal mortality to arrive at the number of live births that did not result in maternal death. Second, the number of live births that did not result in maternal death was further adjusted downward for the proportion of multiple live births to estimate the number of women who had a live birth that did not result in their death. Lastly, assuming that half of the women who survived childbirth in the year gave birth in the past 6 months, the number of women who survived childbirth was divided by 2. The number of women with children aged 0 to 6 months arrived at was 12.3 million (12.3-12.3 million) for 2015 and 11.5 million (11.5-11.5 million) for 2020 (Table 5).
Children
Health and nutrition interventions relevant for children target different age groups, depending on the programmatic guidelines for the intervention. As a result, we required population estimates for the following age groups for India: 0 to 59, 0 to 12, 6 to 35, 9 to 35, and 12 to 35 months. For full immunization, the relevant age group for coverage estimation is children aged 12 to 23 months to capture the percentage of children who have been exposed to an age-appropriate vaccination schedule. However, we selected children aged 0 to 11 months as the intended beneficiary population as these children will be the ones targeted by vaccinations included in the national vaccination schedule.
The WPP database provides data on infant and under-5 mortality rates but does not provide the birth cohort–specific cumulative mortality rates for children older than 11 months. Cohort-specific death estimates were needed to estimate the number of living children in each birth cohort. However, children die at different rates across age groups in early childhood, with the highest death rates in infancy and lower death rates thereafter.27
Cohort cumulative mortality rates were estimated for children older than 11 months by extrapolating the patterns observed in the mortality rates from the NFHS to the infant mortality rate in the WPP (Table 6) using the following proportional equivalence.
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} \begin{align*}& Cumulative\ cohort\ specific\ mortality\ rates\ in\ NFHS\notag\\&\quad\approx Cumulative\ cohort\ specific\ mortality\ rates\ in\ WPP \end{align*}\end{document}The NFHS birth record data provide information on the imputed age in months at death for children. Using this information, the mean mortality rate per 1000 live births in the year preceding the survey was estimated for each cohort born in the past 5 years using the package syncmrates that estimates the cohort-specific mean mortality rates by using a synthetic cohort life table approach.28 Additionally, the cumulative mortality rate for children younger than 5 years was estimated by summing the cohort-specific mortality rates. For each cohort, the proportion of the cohort’s mortality rate in the cumulative mortality rate was estimated. The infant mortality rate from the WPP is applied to the cohort aged 0 to 11 months as this cohort would have been fully exposed to the infant mortality. For the remaining cohorts, the proportions calculated for each birth cohort were applied to the under-5 mortality rate from the WPP based on the assumption of proportional equivalence. The cohort mortality rates are then summed by each cohort to derive the cohort cumulative mortality rate.
For each cohort, the number of deaths was obtained using Equation 6:
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} \begin{align*} \notag &Total\ deaths= Number\ of\ live\ births\times Cohort\ specific\ cumulative\\ &\quad mortality\ rate\dots \end{align*}\end{document}The number of live births for each cohort was estimated by multiplying the total population in each year by the crude birth rate (Table S2). The cohort cumulative mortality rate was applied to the number of live births to estimate the number of deaths in each cohort.
For each cohort, the number of living children is obtained using Equation 7 (Table 6):
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} \begin{equation*} Total\ living\ children= Number\ of\ live\ births- Total\ deaths\dots \end{equation*}\end{document}To estimate the number of children aged 6 to 11 and 9 to 11 months who were needed to calculate the number of children ages 6 to 35 and 9 to 35 months, respectively, we estimated the proportion of deaths among infants aged 6 to 11 months and 9 to 11 months in the total infant deaths. We then applied these proportions to the total infant deaths to calculate the number of deaths in infants aged 6 to 11 and 9 to 11 months, respectively. Next, we subtract these from the number of infants aged 6 to 11 months (assumed to be half of the live births in the cohort aged 0-11 months) and 9 to 11 months (assumed to be three-fourths of the live births in the cohort aged 0-11 months) to arrive at the number of children aged 6 to 11 and 9 to 11 months, respectively (Table S3).
Using the number of living children in each cohort born in the past 5 years, the number of living children aged 0 to 59, 6 to 35, 9 to 35, and 12 to 35 months was estimated (Table S4).
Estimating eligible populations covered by interventions
For each intervention, the number of beneficiaries covered is calculated using Equation 8:
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} \begin{align*}\notag & Total\ beneficiaries\ covered= Coverage\ proportion\times Total\ eligible\\&\quad population\dots \end{align*}\end{document}Additionally, the lower and upper bounds of the 95% confidence interval of the weighted coverage estimate were multiplied by the beneficiary population estimate to arrive at the 95% prediction interval for the mean population covered.
Illustration 1: national estimates of eligible populations in India
Table 7 reports the mean population covered by intervention, along with the estimated change in the mean population covered between 2015 and 2020. For example, the number of pregnant women eligible for health and nutrition services was 24.9 (24.9-24.9) and 23.3 (23.3-23.3) million in 2015 and 2020, respectively. The coverage for ≥4 ANC visits was 50.7% (50.2-51.1%) in 2015 and 55.2% (54.8-55.6%) in 2020. Multiplying the population estimate by the coverage estimate, we find that the number of eligible pregnant women who received ≥4 ANC visits was 12.6 (12.5-12.7) million in 2015 and 12.9 (12.8-13.0) million in 2020. In this example, the decline in the number of pregnant women (1.7 million) was larger than the increase in the number of women receiving ≥4 ANC (0.2 [0.0-0.5] million), suggesting that the observed increase in coverage was partially driven by a decline in the eligible population.
As another illustration, coverage of weighing during childhood increased from 45.0% (44.5%-45.4%) in 2015 to 60.9% (60.4%-61.4%) in 2020. Over the same period, the number of children below 5 years declined from 122.8 (121.9-123.0) million in 2015 to 116.2 (115.5-116.3) million in 2020. The mean number of children below 5 years who were weighed in 2015 was 55.3 (54.2-55.8) million in 2015 and 70.8 (69.8-71.4) million in 2020. Therefore, in this case, the increase in coverage (15.4 percentage point (pp)) was able to offset the decline in the number of children (6.7 million). The observed coverage increase reflects an expansion in service utilization among the eligible population despite a decline in the population.
Sensitivity checks
We performed sensitivity checks on the population estimates for women with a demand for contraception and pregnant women.
In the case of women with a demand for contraception, we had not excluded women who did not wish to have additional children from our estimate, as these women would still seek out family planning services to prevent further pregnancies. However, it is possible that certain family planning interventions may intend to only target women who wish to have additional children. Therefore, we further adjust the demand for contraception downward for women who do not wish to have additional children (Table S5). As more than half of the women with a demand for contraception do not wish to have children, the population estimate reduces substantially (161.2 to 72.4 million in 2015 and 176.9 to 81.6 million in 2020). On the other hand, it is possible that women who have been sterilized might seek out abortion services due to a failed sterilization, although these services are typically not part of family planning packages in LMICs.25 When we do not exclude sterilized women from the estimate, the women with a demand for contraception increases (223.6 million in 2015 and 249.2 million in 2020).
For estimating the number of pregnant women, we assumed that pregnant women who had a birth would be the intended beneficiary population, as these women would be likelier to seek out antenatal services. We do not make upward adjustments for women who experience fetal loss, as women typically miscarry prior to discovering their pregnancy, and women who choose to abort their fetus are less likely to seek out antenatal services. As a sensitivity check, we further adjusted the number of pregnant women who had a birth upward for fetal loss (Table S6). This increases the estimate by 4.1 million in 2015 and 4.2 million in 2020. However, we caution against using this number as the true estimate of total pregnancies in a given year, as women might not be aware they have experienced a miscarriage or choose not to report their abortion while being surveyed.29^,^30
Illustration 2: subnational estimates of eligible populations in Nepal
To assess the applicability of our method to subnational regions, we applied the proposed methodology to Nepal and estimated the beneficiary populations at the national and ecological zone (mountain, hill, plain) levels. The 2021 Nepal census provides disaggregated population numbers at these levels.31 We assumed proportional equivalence between the 2021 census and the 2022 population projections to estimate the beneficiary populations at the ecological zone level (Tables S7-S13). For instance, we assumed that the proportion of women aged 15 to 49 years at the mountain level was constant between 2021 and 2022 and applied the proportion from the census to the national projection from the WPP to obtain the number of women aged 15 to 49 years residing in the mountain zone (Table S7). The Nepal Demographic Health Survey (2022) is representative at the ecological zone level, so we obtained national and ecological zone estimates from it for fertility and mortality indicators.32
A similar method can be applied to India using the proportions from the 2011 census, although there might have been considerable changes in the proportions since 2011, and therefore, any subnational projections using older censuses should be viewed with this caution.
Extension to other LMICs
In Figure S1, we documented the availability of censuses and demographic surveys (DHS and MICS) for LMICs. Most countries have either the DHS or MICS conducted in the past 10 years. While WPP projections are available for all LMICs, researchers may prefer to use population estimates from the censuses for their own projections.
It is important to note that country-specific population and demographic surveys that are not captured in this documentation can also be used for projections.
Limitations
The proposed methods are not without limitations. First, the methods rely on the availability of population representative surveys that collect demographic and coverage information. These surveys are expensive and time-consuming and, therefore, are not conducted at a high frequency in most LMICs. Data on populations utilizing a service might become critical to have on a regular basis during disruptions to services such as COVID-19. However, the methods proposed in this study can be used alongside health system data to inform policymakers on service utilization. For instance, health system data can be modeled on the estimates derived from population representative surveys to project trends in the eligible population covered. Second, the methods proposed in this article might not be easily amenable to extrapolation to subnational settings without reliable data. Through the example of Nepal, which had a recently conducted census, we estimated beneficiary populations at the subnational level. Another approach is to couple the national-level estimates with geospatial methods in a small sample enumeration approach to estimate populations at the subnational unit of interest. Such methods have been employed to estimate eligible populations for vaccinations in Africa.33
The methods applied to estimate the eligible populations in this study rely on assumptions. In the case of estimating the number of women with children aged 0 to 6 months, we assumed that exactly half the women who had a live birth in the previous year had a birth in the past 6 months, which does not account for changes in monthly birth rates. In India, the number of births typically peaks between August and October and dips between February and March.34 Finally, the uncertainty in some estimations, such as the maternal mortality rate, must be acknowledged with different modeling approaches, producing different estimates. However, LMICs often have limited capacity to collect data on maternal mortality, making modeled estimates the only source in certain cases.35
Conclusion
This article proposes generalizable methods that can be applied to estimate the populations eligible for and covered by health and nutrition interventions from preconception to childhood across countries. Coverage and population estimates should be complementary, but coverage estimates are the primary focus due to the convenience in estimating them. Our methods allow researchers to easily extend coverage estimates (measured as a proportion) to the number of eligible beneficiaries in the population covered for a recommended set of interventions.
Supplementary Material
Web_Material_kwae469
The reference list from the paper itself. Each links out to its DOI / PubMed record.
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