,Solution manual for Environmental Engineering
and Sustainable Design, 2nd Edition Bradley
Striebig
Notes
1- The file is chapter after chapter.
2- We have shown you 10 pages.
3- The file contains all Appendix and Excel
sheet if it exists.
4- We have all what you need, we make
update at every time. There are many
new editions waiting you.
5- If you think you purchased the wrong file
You can contact us at every time, we can
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, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
Solution and Answer Guide
Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
Chapter 1 End of Section Exercise Solutions
1-1 Genetically modern humans appeared on Earth about 200,000 years ago and biologically
and behaviorally modern humans appeared about 70,000 years ago. The number of people
and their effects upon the planet were negligible, or as Douglas Adams says, “as near
nothing as makes no odds,” for most of the history of the planet. When did the planets
population reach 1 billion people? If the population has grown exponentially since that time,
what was the time interval required to increase by 1 billion people—for up to 7 billion
people, the approximate global population in 2012?
Solution
From Figure 1-3 ,the planet reached 1 billion people in approximately 1800.
October 31, 2011 was declared by the United Nations, as the day the world population
reached 7 billion.
𝐴𝐴𝑡𝑡 = 𝐴𝐴𝑜𝑜 𝑒𝑒 �𝑘𝑘(𝑡𝑡−𝑡𝑡𝑜𝑜 )�
Solve for 𝑘𝑘.
𝐴𝐴𝑡𝑡
= 𝑒𝑒 �𝑘𝑘(𝑡𝑡−𝑡𝑡𝑜𝑜 )�
𝐴𝐴𝑜𝑜
𝐴𝐴𝑡𝑡
ln = 𝑘𝑘(𝑡𝑡 − 𝑡𝑡𝑜𝑜 )
𝐴𝐴𝑜𝑜
𝐴𝐴
ln 𝐴𝐴 𝑡𝑡
𝑜𝑜
𝑘𝑘 =
(𝑡𝑡 − 𝑡𝑡𝑜𝑜 )
7,000,000,000
ln 1,000,000,000
𝑘𝑘 =
(2012 − 1850)
1.95
𝑘𝑘1850−2012 = = 0.012 = 1.2%
162
The time frame for each increment of 1 billion people can be estimated using the calculated
exponential rate constant:
𝐴𝐴𝑡𝑡
ln = 𝑘𝑘(𝑡𝑡 − 𝑡𝑡𝑜𝑜 )
𝐴𝐴𝑜𝑜
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-1
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
𝐴𝐴
ln 𝐴𝐴 𝑡𝑡
𝑜𝑜
𝑑𝑑𝑑𝑑 =
𝑘𝑘
2,000,000,000
ln
1,000,000,000
𝑑𝑑𝑑𝑑1−2 = (0.012)
= 58 years
3,000,000,000
ln
2,000,000,000
𝑑𝑑𝑑𝑑2−3 = (0.012)
= 34 years
4,000,000,000
ln
3,000,000,000
𝑑𝑑𝑑𝑑3−4 = (0.012)
= 24 years
5,000,000,000
ln
4,000,000,000
𝑑𝑑𝑑𝑑4−5 = (0.012)
= 19 years
6,000,000,000
ln
5,000,000,000
𝑑𝑑𝑑𝑑5−6 = (0.012)
= 15 years
7,000,000,000
ln
6,000,000,000
𝑑𝑑𝑑𝑑6−7 = = 13 years
(0.012)
1-2 List the three dimensions and four categories used to calculate the Human Development
Index (HDI) for a country.
Solution
Dimensions: The Life Expectancy index
The Educational Index
The Income Index
Categories Very High Human Development
High Human Development
Medium Human Development
Low Human Development
1-3 Calculate the HDI for Australia given the following information: life expectancy at birth =
83.1, mean years of schooling = 12.9, expected years of schooling = 22.9, GNI per capita in
purchasing power parity (PPP) terms (constant 2011 international $) = 43,560.
Solution
Life Expectancy (LE) at birth using the 2018 Life Expectancy Index:
Life Expectancy Index (LEI) = (LE-20)/(85-20) (1.1)
(LEI) = (83.1-20)/(85-20) = 0.971
The Education Index (EI) based upon the Mean Years of Schooling Index (MYSI) and Expected
Years of Schooling Index (EYSI), where:
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-2
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
MYSI = Mean Years of Schooling/15 = 0.860 (1.2)
EYSI = Expected Years of Schooling/18 = 1.272 (1.3)
EI = (MYSI x EYSI)/2 = (0.860 + 1.272)/2 = 1.066 (1.4)
And the Income Index (II) which is based upon the Gross National Income (GNIpc) at
purchasing power parity per capita, which is an estimate and standardization of each
individuals’ income in a country:
II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.918 (1.5)
The Human Development Index is determined from the geometric mean of the Life
Expectancy, Education and the Income Index:
HDI = (LEI x EI x II)1/3 = (0.971 x 1.066 x 0.918)1/3 = 0.983 (1.6)
1-4 Calculate the HDI for Japan given the following information: life expectancy at birth = 83.9,
mean years of schooling = 12.8, expected years of schooling = 15.2, GNI per capita in PPP
terms (constant 2011 international $) = 38,986.
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Life Expectancy Index (LEI) = 0.983
MYSI = Mean Years of Schooling/15 = 0.853
EYSI = Expected Years of Schooling/18 = 0.844
EI = (MYSI x EYSI)/2 = 0.849
Income Index: II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.901
HDI = (LEI x EI x II)1/3 = 0.909
1-5 Calculate the HDI for Turkey given the following information: life expectancy at birth = 76.0,
mean years of schooling = 8.0, expected years of schooling = 15.2, GNI per capita in PPP
terms (constant 2011 international $) = 24,804.
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Life Expectancy Index (LEI) = 0.862
MYSI = Mean Years of Schooling/15 = 0.553
EYSI = Expected Years of Schooling/18 = 0.844
EI = (MYSI x EYSI)/2 = 0.689
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-3
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
Income Index: II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.833
HDI = (LEI x EI x II)1/3 = 0.791
1-6 Calculate the HDI for Viet Nam given the following information: life expectancy at birth =
76.5, mean years of schooling = 8.2, expected years of schooling = 12.7, GNI per capita in PPP
terms (constant 2005 international $) = 5,859.
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Life Expectancy Index (LEI) = 0.869
MYSI = Mean Years of Schooling/15 = 0.547
EYSI = Expected Years of Schooling/18 = 0.706
EI = (MYSI x EYSI)/2 = 0.626
Income Index: II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.615
HDI = (LEI x EI x II)1/3 = 0.694
1-7 Calculate the HDI for Argentina given the following information: life expectancy at birth =
76.7, mean years of schooling = 9.9, expected years of schooling = 17.4, GNI per capita in PPP
terms (constant 2005 international $) = 18,461.
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Life Expectancy Index (LEI) = 0.872
MYSI = Mean Years of Schooling/15 = 0.660
EYSI = Expected Years of Schooling/18 = 0.967
EI = (MYSI x EYSI)/2 = 0.813
Income Index: II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.788
HDI = (LEI x EI x II)1/3 = 0.824
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-4
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
1-8 Calculate the HDI for Vanuatu given the following information: life expectancy at birth = 72.3,
mean years of schooling = 6.8, expected years of schooling = 10.9, GNI per capita in PPP
terms (constant 2005 international $) = 2,995.
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Life Expectancy Index (LEI) = 0.805
MYSI = Mean Years of Schooling/15 = 0.453
EYSI = Expected Years of Schooling/18 = 0.606
EI = (MYSI x EYSI)/2 = 0.529
Income Index: II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.514
HDI = (LEI x EI x II)1/3 = 0.603
1-9 Calculate the HDI for Niger given the following information: life expectancy at birth = 60.4,
mean years of schooling = 2.0, expected years of schooling = 5.4, GNI per capita in PPP terms
(constant 2005 international $) = 906.
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Life Expectancy Index (LEI) = 0.622
MYSI = Mean Years of Schooling/15 = 0.133
EYSI = Expected Years of Schooling/18 = 0.300
EI = (MYSI x EYSI)/2 = 0.217
Income Index: II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.333
HDI = (LEI x EI x II)1/3 = 0.355
1-10 For each country listed in the accompanying table, calculate
a. Life Expectancy Index
b. Educational Index
c. Income Index
d. Human Development Index
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-5
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Country and Life Educational Income Index Human
2011 Data Expectancy Index Development
Index Index
Australia 0.952 0.900 0.882 0.911
China 0.823 0.572 0.652 0.678
Ireland 0.932 0.887 0.858 0.896
Kenya 0.571 0.539 0.408 0.503
South Africa 0.505 0.647 0.687 0.611
1-11 For each country listed in the accompanying table, calculate
a. Life Expectancy Index
b. Educational Index
c. Income Index
d. Human Development Index
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-6
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Country and Life Educational Income Index Human
2011 Data Expectancy Index Development
Index Index
Canada 0.938 0.848 0.886 0.890
Japan 0.975 0.806 0.873 0.882
Mexico 0.877 0.669 0.738 0.757
Nigeria 0.491 0.414 0.458 0.453
United 0.926 0.757 0.877 0.851
Kingdom
1-12 For each country listed in the table, calculate
a. Life Expectancy Index
b. Educational Index
c. Income Index
d. Human Development Index
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-7
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
Solution
Example calculation for Benin:
Life Expectancy (LE) at birth using the 2011 Life Expectancy Index:
Life Expectancy Index (LEI) = (LE-20)/(85-20) (1.1)
(LEI) = (56.1-20)/(85-20) = 0.555
The Education Index (EI) based upon the Mean Years of Schooling Index (MYSI) and Expected
Years of Schooling Index (EYSI), where:
MYSI = Mean Years of Schooling/15 = 3.3/15 = 0.220 (1.2)
EYSI = Expected Years of Schooling/18 = 9.2/18 = 0.511 (1.3)
EI = (MYSI x EYSI)/2 = (0.220 + 0.511)/2 = 0.366 (1.4)
And the Income Index (II) which is based upon the Gross National Income (GNIpc) at
purchasing power parity per capita, which is an estimate and standardization of each
individuals’ income in a country:
II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} (1.5)
II = {ln(1,364) - ln(100)}/{ln(75,000) - ln(100)} = 0.395
The Human Development Index is determined from the geometric mean of the Life
Expectancy, Education and the Income Index:
HDI = (LEI x EI x II)1/3 = (0.555 x 0.366 x 0.395)1/3 = 0.431 (1.6)
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-8
website, in whole or in part.
and Sustainable Design, 2nd Edition Bradley
Striebig
Notes
1- The file is chapter after chapter.
2- We have shown you 10 pages.
3- The file contains all Appendix and Excel
sheet if it exists.
4- We have all what you need, we make
update at every time. There are many
new editions waiting you.
5- If you think you purchased the wrong file
You can contact us at every time, we can
replace it with true one.
Our email:
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
Solution and Answer Guide
Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
Chapter 1 End of Section Exercise Solutions
1-1 Genetically modern humans appeared on Earth about 200,000 years ago and biologically
and behaviorally modern humans appeared about 70,000 years ago. The number of people
and their effects upon the planet were negligible, or as Douglas Adams says, “as near
nothing as makes no odds,” for most of the history of the planet. When did the planets
population reach 1 billion people? If the population has grown exponentially since that time,
what was the time interval required to increase by 1 billion people—for up to 7 billion
people, the approximate global population in 2012?
Solution
From Figure 1-3 ,the planet reached 1 billion people in approximately 1800.
October 31, 2011 was declared by the United Nations, as the day the world population
reached 7 billion.
𝐴𝐴𝑡𝑡 = 𝐴𝐴𝑜𝑜 𝑒𝑒 �𝑘𝑘(𝑡𝑡−𝑡𝑡𝑜𝑜 )�
Solve for 𝑘𝑘.
𝐴𝐴𝑡𝑡
= 𝑒𝑒 �𝑘𝑘(𝑡𝑡−𝑡𝑡𝑜𝑜 )�
𝐴𝐴𝑜𝑜
𝐴𝐴𝑡𝑡
ln = 𝑘𝑘(𝑡𝑡 − 𝑡𝑡𝑜𝑜 )
𝐴𝐴𝑜𝑜
𝐴𝐴
ln 𝐴𝐴 𝑡𝑡
𝑜𝑜
𝑘𝑘 =
(𝑡𝑡 − 𝑡𝑡𝑜𝑜 )
7,000,000,000
ln 1,000,000,000
𝑘𝑘 =
(2012 − 1850)
1.95
𝑘𝑘1850−2012 = = 0.012 = 1.2%
162
The time frame for each increment of 1 billion people can be estimated using the calculated
exponential rate constant:
𝐴𝐴𝑡𝑡
ln = 𝑘𝑘(𝑡𝑡 − 𝑡𝑡𝑜𝑜 )
𝐴𝐴𝑜𝑜
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-1
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
𝐴𝐴
ln 𝐴𝐴 𝑡𝑡
𝑜𝑜
𝑑𝑑𝑑𝑑 =
𝑘𝑘
2,000,000,000
ln
1,000,000,000
𝑑𝑑𝑑𝑑1−2 = (0.012)
= 58 years
3,000,000,000
ln
2,000,000,000
𝑑𝑑𝑑𝑑2−3 = (0.012)
= 34 years
4,000,000,000
ln
3,000,000,000
𝑑𝑑𝑑𝑑3−4 = (0.012)
= 24 years
5,000,000,000
ln
4,000,000,000
𝑑𝑑𝑑𝑑4−5 = (0.012)
= 19 years
6,000,000,000
ln
5,000,000,000
𝑑𝑑𝑑𝑑5−6 = (0.012)
= 15 years
7,000,000,000
ln
6,000,000,000
𝑑𝑑𝑑𝑑6−7 = = 13 years
(0.012)
1-2 List the three dimensions and four categories used to calculate the Human Development
Index (HDI) for a country.
Solution
Dimensions: The Life Expectancy index
The Educational Index
The Income Index
Categories Very High Human Development
High Human Development
Medium Human Development
Low Human Development
1-3 Calculate the HDI for Australia given the following information: life expectancy at birth =
83.1, mean years of schooling = 12.9, expected years of schooling = 22.9, GNI per capita in
purchasing power parity (PPP) terms (constant 2011 international $) = 43,560.
Solution
Life Expectancy (LE) at birth using the 2018 Life Expectancy Index:
Life Expectancy Index (LEI) = (LE-20)/(85-20) (1.1)
(LEI) = (83.1-20)/(85-20) = 0.971
The Education Index (EI) based upon the Mean Years of Schooling Index (MYSI) and Expected
Years of Schooling Index (EYSI), where:
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-2
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
MYSI = Mean Years of Schooling/15 = 0.860 (1.2)
EYSI = Expected Years of Schooling/18 = 1.272 (1.3)
EI = (MYSI x EYSI)/2 = (0.860 + 1.272)/2 = 1.066 (1.4)
And the Income Index (II) which is based upon the Gross National Income (GNIpc) at
purchasing power parity per capita, which is an estimate and standardization of each
individuals’ income in a country:
II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.918 (1.5)
The Human Development Index is determined from the geometric mean of the Life
Expectancy, Education and the Income Index:
HDI = (LEI x EI x II)1/3 = (0.971 x 1.066 x 0.918)1/3 = 0.983 (1.6)
1-4 Calculate the HDI for Japan given the following information: life expectancy at birth = 83.9,
mean years of schooling = 12.8, expected years of schooling = 15.2, GNI per capita in PPP
terms (constant 2011 international $) = 38,986.
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Life Expectancy Index (LEI) = 0.983
MYSI = Mean Years of Schooling/15 = 0.853
EYSI = Expected Years of Schooling/18 = 0.844
EI = (MYSI x EYSI)/2 = 0.849
Income Index: II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.901
HDI = (LEI x EI x II)1/3 = 0.909
1-5 Calculate the HDI for Turkey given the following information: life expectancy at birth = 76.0,
mean years of schooling = 8.0, expected years of schooling = 15.2, GNI per capita in PPP
terms (constant 2011 international $) = 24,804.
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Life Expectancy Index (LEI) = 0.862
MYSI = Mean Years of Schooling/15 = 0.553
EYSI = Expected Years of Schooling/18 = 0.844
EI = (MYSI x EYSI)/2 = 0.689
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-3
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
Income Index: II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.833
HDI = (LEI x EI x II)1/3 = 0.791
1-6 Calculate the HDI for Viet Nam given the following information: life expectancy at birth =
76.5, mean years of schooling = 8.2, expected years of schooling = 12.7, GNI per capita in PPP
terms (constant 2005 international $) = 5,859.
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Life Expectancy Index (LEI) = 0.869
MYSI = Mean Years of Schooling/15 = 0.547
EYSI = Expected Years of Schooling/18 = 0.706
EI = (MYSI x EYSI)/2 = 0.626
Income Index: II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.615
HDI = (LEI x EI x II)1/3 = 0.694
1-7 Calculate the HDI for Argentina given the following information: life expectancy at birth =
76.7, mean years of schooling = 9.9, expected years of schooling = 17.4, GNI per capita in PPP
terms (constant 2005 international $) = 18,461.
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Life Expectancy Index (LEI) = 0.872
MYSI = Mean Years of Schooling/15 = 0.660
EYSI = Expected Years of Schooling/18 = 0.967
EI = (MYSI x EYSI)/2 = 0.813
Income Index: II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.788
HDI = (LEI x EI x II)1/3 = 0.824
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-4
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
1-8 Calculate the HDI for Vanuatu given the following information: life expectancy at birth = 72.3,
mean years of schooling = 6.8, expected years of schooling = 10.9, GNI per capita in PPP
terms (constant 2005 international $) = 2,995.
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Life Expectancy Index (LEI) = 0.805
MYSI = Mean Years of Schooling/15 = 0.453
EYSI = Expected Years of Schooling/18 = 0.606
EI = (MYSI x EYSI)/2 = 0.529
Income Index: II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.514
HDI = (LEI x EI x II)1/3 = 0.603
1-9 Calculate the HDI for Niger given the following information: life expectancy at birth = 60.4,
mean years of schooling = 2.0, expected years of schooling = 5.4, GNI per capita in PPP terms
(constant 2005 international $) = 906.
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Life Expectancy Index (LEI) = 0.622
MYSI = Mean Years of Schooling/15 = 0.133
EYSI = Expected Years of Schooling/18 = 0.300
EI = (MYSI x EYSI)/2 = 0.217
Income Index: II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} = 0.333
HDI = (LEI x EI x II)1/3 = 0.355
1-10 For each country listed in the accompanying table, calculate
a. Life Expectancy Index
b. Educational Index
c. Income Index
d. Human Development Index
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-5
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Country and Life Educational Income Index Human
2011 Data Expectancy Index Development
Index Index
Australia 0.952 0.900 0.882 0.911
China 0.823 0.572 0.652 0.678
Ireland 0.932 0.887 0.858 0.896
Kenya 0.571 0.539 0.408 0.503
South Africa 0.505 0.647 0.687 0.611
1-11 For each country listed in the accompanying table, calculate
a. Life Expectancy Index
b. Educational Index
c. Income Index
d. Human Development Index
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-6
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
Solution
See Problem 1-3 for the procedure to the solution to HDI calculations
Country and Life Educational Income Index Human
2011 Data Expectancy Index Development
Index Index
Canada 0.938 0.848 0.886 0.890
Japan 0.975 0.806 0.873 0.882
Mexico 0.877 0.669 0.738 0.757
Nigeria 0.491 0.414 0.458 0.453
United 0.926 0.757 0.877 0.851
Kingdom
1-12 For each country listed in the table, calculate
a. Life Expectancy Index
b. Educational Index
c. Income Index
d. Human Development Index
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-7
website, in whole or in part.
, Solution and Answer Guide: Striebig, Papadakis, Heine, Ogundipe, Environmental Engineering and Sustainable Design 2e,
9780357675854, Chapter 1: Sustainability, Engineering, and Design
Solution
Example calculation for Benin:
Life Expectancy (LE) at birth using the 2011 Life Expectancy Index:
Life Expectancy Index (LEI) = (LE-20)/(85-20) (1.1)
(LEI) = (56.1-20)/(85-20) = 0.555
The Education Index (EI) based upon the Mean Years of Schooling Index (MYSI) and Expected
Years of Schooling Index (EYSI), where:
MYSI = Mean Years of Schooling/15 = 3.3/15 = 0.220 (1.2)
EYSI = Expected Years of Schooling/18 = 9.2/18 = 0.511 (1.3)
EI = (MYSI x EYSI)/2 = (0.220 + 0.511)/2 = 0.366 (1.4)
And the Income Index (II) which is based upon the Gross National Income (GNIpc) at
purchasing power parity per capita, which is an estimate and standardization of each
individuals’ income in a country:
II = {ln(GNIpc) - ln(100)}/{ln(75,000) - ln(100)} (1.5)
II = {ln(1,364) - ln(100)}/{ln(75,000) - ln(100)} = 0.395
The Human Development Index is determined from the geometric mean of the Life
Expectancy, Education and the Income Index:
HDI = (LEI x EI x II)1/3 = (0.555 x 0.366 x 0.395)1/3 = 0.431 (1.6)
© 2023 Cengage. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible 1-8
website, in whole or in part.
