Dietary Reference Intakes: Guiding Principles for Nutrition Labeling and Fortification (2003)

Chapter: Appendix B: Selected Illustrative Calculations Using a Population-Weighted Approach

Previous Chapter: Appendix A: Biographical Sketches of the Committee
Suggested Citation: "Appendix B: Selected Illustrative Calculations Using a Population-Weighted Approach." Institute of Medicine. 2003. Dietary Reference Intakes: Guiding Principles for Nutrition Labeling and Fortification. Washington, DC: The National Academies Press. doi: 10.17226/10872.

B
Selected Illustrative Calculations Using a Population-Weighted Approach

The tables included in this appendix are not recommended values for either the U.S. or the Canadian population. They were developed using the formulas and methodology described in Chapter 5 to illustrate how a population-weighted approach could be applied to generating Daily Values. The development of actual numerical values would necessitate careful discussion and decisions regarding the selection of the best representative numbers to use for each variable in the formulas. In addition, decisions regarding such factors as numerical rounding and certain aspects of the calculations would need to be made. The population base chosen for these examples is indicated within each table. For details of other variables see the methodological description in Chapter 5.

Suggested Citation: "Appendix B: Selected Illustrative Calculations Using a Population-Weighted Approach." Institute of Medicine. 2003. Dietary Reference Intakes: Guiding Principles for Nutrition Labeling and Fortification. Washington, DC: The National Academies Press. doi: 10.17226/10872.

TABLE B-1 Illustrative Calculations of Population-Weighted Estimated Average Requirements (EARs) for Persons 4 Years of Age and Older Using 2005 U.S. Population Figures and of the Highest EAR for Each Nutrient (Nonweighted)

Nutrienta

Median Weighted EAR

Percent Within 20%b

Percent Within 30%c

Highest EARd

Percent Within 20%e

Percent Within 30%f

Vitamin A (μg RAE)

529

54

72

630

51

71

Vitamin C (mg)

63

65

79

75

60

80

Vitamin E (mg α-tocopherol)

12

83

91

12

84

91

Thiamin (mg)

0.9

80

90

1.0

78

89

Riboflavin (mg)

1.0

73

88

1.1

67

87

Niacin (mg)

11

70

86

12

71

86

Vitamin B6 (mg)

1.1

69

83

1.4

51

77

Folate (μg DFE)

314

84

92

330

84

91

Vitamin B12 (μg)

2.0

83

91

2.0

84

91

Copper (μg)

684

84

92

700

84

91

Iodine (μg)

93

85

95

95

85

94

Iron (mg)

6.1

59

77

8.1

39

64

Magnesium (mg)

286

60

79

350

53

75

Molybdenum (μg)

33

84

92

34

84

91

Phosphorus (mg)

588

75

81

1,055

14

15

Selenium (μg)

44

84

92

45

85

92

Zinc (mg)

7.5

61

79

9.4

48

75

NOTE: Population subgroup proportions for this table were computed using the U.S. Census Bureau middle series of the national population projections (Population Projections Program, 2000). The source data, which give the age distribution for each age and gender, were aggregated in concordance with the Dietary Reference Intakes age and gender categories.

aRAE = retinol activity equivalents, DFE = dietary folate equivalents.

bEstimated percentage of the population with a requirement within 20% of the population-weighted EAR.

cEstimated proportion of the population with a requirement within 30% of the population-weighted EAR.

dExcludes EARs for pregnant and lactating women.

eEstimated proportion of the population with a requirement within 20% of the highest EAR.

fEstimated proportion of the population with a requirement within 30% of the highest EAR.

Suggested Citation: "Appendix B: Selected Illustrative Calculations Using a Population-Weighted Approach." Institute of Medicine. 2003. Dietary Reference Intakes: Guiding Principles for Nutrition Labeling and Fortification. Washington, DC: The National Academies Press. doi: 10.17226/10872.

TABLE B-2 Illustrative Calculations of Population-Weighted Estimated Average Requirements (EARs) for Persons 4 Years of Age and Older Using 2006 Canadian Population Figures and of the Highest EAR for Each Nutrient (Nonweighted)

Nutrienta

Median Weighted EAR

Percent Within 20%b

Percent Within 30%c

Highest EARd

Percent Within 20%e

Percent Within 30%f

Vitamin A (μg RAE)

533

55

73

630

52

72

Vitamin C (mg)

64

67

82

75

61

82

Vitamin E (mg α-tocopherol)

12

85

92

12

85

92

Thiamin (mg)

0.9

81

92

1.0

80

90

Riboflavin (mg)

1.0

75

90

1.1

68

88

Niacin (mg)

11

72

87

12

72

87

Vitamin B6 (mg)

1.1

70

85

1.4

53

79

Folate (μg DFE)

315

86

93

330

85

92

Vitamin B12 (μg)

2.0

85

92

2.0

85

92

Copper (μg)

686

86

93

700

86

93

Iodine (μg)

93

86

96

95

86

95

Iron (mg)

6.1

61

78

8.1

38

63

Magnesium (mg)

288

62

81

350

54

77

Molybdenum (μg)

33

85

93

34

86

93

Phosphorus (mg)

587

77

83

1,055

13

14

Selenium (μg)

44

86

93

45

86

93

Zinc (mg)

7.5

62

80

9.4

49

76

NOTE: Population subgroup proportions for this table were computed using the Statistics Canada national population projections (Statistics Canada, 2003). The source data are aggregated; group definitions differ slightly from the EAR guidelines.

aRAE = retinol activity equivalents, DFE = dietary folate equivalents.

bEstimated proportion of the population with a requirement within 20% of the population-weighted EAR.

cEstimated proportion of the population with a requirement within 30% of the population-weighted EAR.

dExcludes EARs for pregnant and lactating women.

eEstimated proportion of the population with a requirement within 20% of the highest EAR.

fEstimated proportion of the population with a requirement within 30% of the highest EAR.

Suggested Citation: "Appendix B: Selected Illustrative Calculations Using a Population-Weighted Approach." Institute of Medicine. 2003. Dietary Reference Intakes: Guiding Principles for Nutrition Labeling and Fortification. Washington, DC: The National Academies Press. doi: 10.17226/10872.

TABLE B-3 Illustrative Calculations of Population-Weighted Adequate Intakes (AIs) Based on U.S. Census Bureau Data from 2001 and 2005

Nutrient

Toddlersa

General Populationb

Pregnant Womenc

Lactating Womend

Biotin (μg)

8

28

30

35

Calcium (mg)

500

1,091

1,011

1,011

Choline (mg)

200

460

450

550

Chromium (μg)

11

27

30

45

Fluoride (mg)

0.7

3

3

3

Linoleic Acid (g)

7

13

13

13

α-Linoleic Acid (g)

0.7

1.3

1.4

1.3

Manganese (mg)

1.2

2.0

2.0

2.6

Pantothenic acid (mg)

2.0

5

6

7

Vitamin D (μg)

5

7

5

5

Vitamin K (μg)

30

95

89

89

aAIs for toddlers ages 1–3 y in the United States (IOM, 2002a). No weighting was done for this group.

bBased on U.S. Census Bureau estimates of the general population of the United States in 2005 ages 4 y and above (Population Projections Program, 2000).

cBased on U.S. Census Bureau estimates of the population of pregnant women in the United States in 2001 (Population Projections Program, 2000).

dIn the absence of specific data on the ages of lactating women, these values are based on National Vital Statistics System estimates of the population of pregnant women in the United States in 2001 (Ventura et al., 2003).

Suggested Citation: "Appendix B: Selected Illustrative Calculations Using a Population-Weighted Approach." Institute of Medicine. 2003. Dietary Reference Intakes: Guiding Principles for Nutrition Labeling and Fortification. Washington, DC: The National Academies Press. doi: 10.17226/10872.

TABLE B-4 Acceptable Macronutrient Distribution Ranges (AMDRs) for the General Population 4 Years of Age and Older

 

Range (% of energy)

Macronutrient

Low

Average

High

Fata

21

28

35

Linoleic acid

5.0

7.5

10.0

α-Linolenic acid

0.6

0.9

1.2

Carbohydrateb

45

55

65

aThe AMDR for total fat is comprised of population-weighted values that were computed based on U.S. Census Bureau estimates of the U.S. population in 2005 (Population Projections Program, 2000).

bNo weighting was done for this group.

Suggested Citation: "Appendix B: Selected Illustrative Calculations Using a Population-Weighted Approach." Institute of Medicine. 2003. Dietary Reference Intakes: Guiding Principles for Nutrition Labeling and Fortification. Washington, DC: The National Academies Press. doi: 10.17226/10872.

TABLE B-5 Illustrative Calculations of Population-Weighted Estimated Average Requirements (EARs) and of the Highest EAR for Nutrients for Pregnant Women in the United States

Nutrienta

Median Weighted EAR

Percent Within 20%b

Percent Within 30%c

Highest EAR

Percent Within 20%d

Percent Within 30%e

Vitamin A (μg RAE)

549

68

87

550

68

87

Vitamin C (mg)

70

95

99.7

70

95

99.7

Vitamin E (mg α-tocopherol)

12

95

99.7

12

95

99.7

Thiamin (mg)

1.2

95

99.7

1.2

95

99.7

Riboflavin (mg)

1.2

95

99.7

1.2

95

99.7

Niacin (mg)

14

82

95

14

82

95

Vitamin B6 (mg)

1.6

95

100

1.6

95

100

Folate (μg DFE)

520

95

99.7

520

95

99.7

Vitamin B12 (μg)

2.2

95

99.7

2.2

95

99.7

Copper (μg)

799

95

99.7

800

95

99.7

Iodine (μg)

160

95

99.7

160

95

99.7

Iron (mg)

22

95

99.7

23

94

99.6

Magnesium (mg)

295

94

99

335

81

98

Molybdenum (μg)

40

95

99.7

40

95

99.7

Phosphorus (mg)

583

92

96

1,055

3.6

4.1

Selenium (μg)

49

95

99.7

49

95

99.7

Zinc (mg)

9.5

95

99.6

10.5

88

99

NOTE: Computations are based on 2001 estimates (Ventura et al., 2003) of the number of pregnant women comprised of three age groups: 18 y, 19–30 y, 31–50 y.

aRAE = retinol activity equivalents, DFE = dietary folate equivalents.

bEstimated proportion of the population with a requirement within 20% of the population-weighted EAR.

cEstimated proportion of the population with a requirement within 30% of the population-weighted EAR.

dEstimated proportion of the population with a requirement within 20% of the highest EAR.

eEstimated proportion of the population with a requirement within 30% of the highest EAR.

Suggested Citation: "Appendix B: Selected Illustrative Calculations Using a Population-Weighted Approach." Institute of Medicine. 2003. Dietary Reference Intakes: Guiding Principles for Nutrition Labeling and Fortification. Washington, DC: The National Academies Press. doi: 10.17226/10872.

TABLE B-6 Illustrative Calculations of Population-Weighted Estimated Average Requirements (EARs) and of Highest EAR for Nutrients for Lactating Women in the United States

Nutrienta

Median Weighted EAR

Percent Within 20%b

Percent Within 30%c

Highest EAR

Percent Within 20%d

Percent Within 30%e

Vitamin A (μg RAE)

899

68

87

900

68

87

Vitamin C (mg)

100

95

99.7

100

95

99.7

Vitamin E (mg α-tocopherol)

16

95

99.7

16

95

99.7

Thiamin (mg)

1.2

95

99.7

1.2

95

99.7

Riboflavin (mg)

1.3

95

99.7

1.3

95

99.7

Niacin (mg)

13

82

95

13

82

95

Vitamin B6 (mg)

1.7

95

100

1.7

95

100

Folate (μg DFE)

450

95

99.7

450

95

99.7

Vitamin B12 (μg)

2.4

95

99.7

2.4

95

99.7

Copper (μg)

999

95

99.7

1,000

95

99.7

Iodine (μg)

209

95

99.7

209

95

99.7

Iron (mg)

6.5

95

99.7

7.0

92

99

Magnesium (mg)

260

94

99

300

77

97

Molybdenum (μg)

36

95

99.7

36

95

99.7

Phosphorus (mg)

583

92

96

1,055

3.6

4.1

Selenium (μg)

59

95

99.7

59

95

99.7

Zinc (mg)

10.4

95

99.7

10.9

94

99.6

NOTE: Computations are based on approximation. Proportion of lactating women for each age group was assumed to be the same as the proportion of pregnant women (proportion of births stratified by mother’s age in three age groups: 18 y, 19–30 y, 31–50 y) using data from Ventura and colleagues (2003).

aRAE = retinol activity equivalents, DFE = dietary folate equivalents.

bEstimated proportion of the population with a requirement within 20% of the population-weighted EAR.

cEstimated proportion of the population with a requirement within 30% of the population-weighted EAR.

dEstimated proportion of the population with a requirement within 20% of the highest EAR.

eEstimated proportion of the population with a requirement within 30% of the highest EAR.

Next Chapter: Appendix C: Reference Tables
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