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WORLD POPULATION & ENVIRONMENTAL IMPACT Thomas Robert Malthus (1766-1834) English Economist: Essay on the Principle of Population (1798) Population increases faster than food supply Poverty is Inevitable Great influence on Charles Darwin Origin of Species (1859) Survival of the Fittest Led to Social Darwinism- justification for social & economic stratification; racial supremacy Objections: New regions exist Scientific & technological progress Economists vs. Biologists Thomas Malthus 1766-1834 Wilkimedia Charles Darwin 1809-1882 Dibner Library
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WORLD POPULATION & ENVIRONMENTAL IMPACT Thomas Robert Malthus (1766-1834) English Economist:

Essay on the Principle of Population (1798) Population increases faster than food supply Poverty is Inevitable

Great influence on Charles Darwin Origin of Species (1859)

Survival of the Fittest Led to Social Darwinism- justification for social & economic stratification; racial supremacy

Objections:

New regions exist Scientific & technological progress

Economists vs. Biologists

Thomas Malthus 1766-1834 Wilkimedia

Charles Darwin 1809-1882 Dibner Library

Need quantitative data and analysis:

1)  What is Earth’s population & what are the trends?

2) What forces cause the population to rise?

3)  What is Earth’s carrying capacity?

4) What are the social, economic and environmental consequences of high population & rapid population growth?

Jan 18, 2017 8:32A

Feb 1, 2017 8:32A

http://www.census.gov/popclock/

Need quantitative data and analysis:

1)  What is Earth’s population & what are the trends? World USA

2/1/17 7,369,025,500 324,465,500

1/18/17 7,366,049,000 324,396,000 2,976,500 69,500

=> 212,600/d 4,960/d

2) What forces cause the population to rise?

http://www.census.gov

Forces Driving Population Upward

Food availability Death rates decline: Improved public health, sanitation, medical advance, declining infant mortality. Birth rates and death rates/1000 are both declining, but the far higher birth rate forces population to rise. 2016 World Birth Rate 18.5/1000 Death Rate 7.8/1000

=> Difference = 1.07 % cf. 1.8937%

dN/dt = %*N/100 => 4.3 births/sec 1.8 death/sec @ 1.06% Nat Inc Difference = 2.5 more people/sec => 8900/hr => 212,600/day

Add another St Louis City by tomorrow eve Add 78 M per year Add another USA in 4 y Add another China in ~17 y

Will population stabilize? Living on Capital (soil, groundwater, fish, trees, etc), not on income

DATE USA WORLD POPULATION POPULATION

2/1/17 324,465,000 7,369,025,000

1/28/15 320,239,000 7,220,806,000

9/14/12 314,373,000 7,039,287,000

9/17/10 310,270,000 6,869,400,000

9/10/08 305,100,000 6,722,600,000

9/16/04 294,288,000 6,393,120,000

9/16/02 288,056,000 6,250,466,000

9/16/00 282,681,000 6,096,300,000

Exponential growth!

1990 Almanac 1997 World Almanac2010 US Census Bureau

YEAR AD OBS POP EQ 1 EQ 2 1650 0.47 .0086 0.504 1750 0.694 .0569 0.684 1850 1.091 0.378 1.066 1900 1.571 0.974 1.481 1950 2.513 2.511 2.432 1960 3.027 3.035 2.792 1970 3.678 3.668 3.277 1980 4.478 4.433 3.969 1990 5.279 5.357 5.033 2000 6.090 6.474 6.885 2010 6.869 7.823 10.91 2017 7.369 2015 7.220 8.600 15.46 2020 (7.585) 9.454 26.56 2026.87 10.77 Infinity 2030 (8.247) 11.43 2040 (8.850) 13.81 2050 (9.346) 16.69 2075 26.79 2100 . 43.01

Great World Atlas 1963

According to United Nations forecasts, from today’s figure it will grow to more than 6 billion by the year 2000.

1850

1900

1950

2000

1960

1800

1700

DAY Square Feet % Covered

1 1 0.0022 2 0.0043 4 0.0094 8 0.0185 16 0.0376 32 0.0747 64 0.1478 128 0.2949 256 0.58810 512 1.1811 1024 2.3512 2048 4.7013 4096 9.4014 8192 18.815 16384 37.616 32768 75.2

16.411 43560 100.0

Exponential Growth

Doubling Time = ln 2 / k = 69.3 / %

N = No Exp(kt)

Possibility 1: EXPONENTIAL dN/dt = k N

ln N = ln No + kt y = b + mx

Possibility 1: Exponential Model: N = No e+bt World Pop = 2.305 x 10 -7 e 0.018937*tAD Criss 1991, unpub

PREDICTIONS:

Doubling Time for Growth Rate = 1.8937%

Ln 2/(0.018937) = 69.3/1.8937 = 36.6 yr. 2017 Population = 8.9 billion (obs. 7.39 B)

If extrapolated back in time, equation predicts 2 individuals (Adam & Eve) in 844 AD.

0

1

2

3

4

5

6

7

8

1600 1650 1700 1750 1800 1850 1900 1950 2000

Observed World PopulationCriss 1991

y = 2.305e-16 * e^(0.018937x) R= 1

Popu

latio

n, b

illion

s

Year AD

N = 2.305 x 10-7 e 0.018937 tAD

DOUBLING RATE: 100 ln 2/(annual % inc.) = 69.3 / %

Annual % Increase DOUBLING RATE (YR)

0.00 ∞0.10 6930.25 277.0.50 139.0.75 92.41.00 69.31.07 64.8 World Average 20161.50 46.21.89 36.7 World Average 1950-1990

2.00 34.72.50 27.73.00 23.13.50 19.84.00 17.3

EXPONENTIAL N = No Exp(+bt)

N = 2.305×10−7( )Exp(+0.018937 × tAD ) Criss (1991, unpub.)

DOOMSDAY

N =1.79 ×101 1

(2026.87 − tAD).99 von Foerster et al. (1960)

LOGISTIC

1N

=1No

−1Ncc

$

% &

'

( ) Exp(−bt)

Possibility 2:

von Foerster et al., 1960

0

1

2

3

4

5

6

7

8

1600 1650 1700 1750 1800 1850 1900 1950 2000

Observed Populationvon Foerster 1960

Popu

lati

on

Year AD

N =1.79×1011

(2026.87 − tAD).99

Possibility 2: Doomsday Best overall fit to historical human population. Predictions made 40 years ago exceed current observed population. Equation predicts infinite population in 2026.87 AD

= Friday, Nov. 13, 2026 !

EXPONENTIAL N = No Exp(+bt)

N = 2.305×10−7( )Exp(+0.018937 × tAD ) Criss (1991, unpub.)

DOOMSDAY

N =1.79 ×101 1

(2026.87 − tAD).99 von Foerster et al. (1960)

LOGISTIC

1N

=1No

−1Ncc

$

% &

'

( ) Exp(−bt)

Possibility 3: Logistic (Variable Growth Rate)

dN/dt = k N (Ncc - N)

EXPONENTIAL N = No Exp(+bt)

N = 2.305×10−7( )Exp(+0.018937 × tAD ) Criss (1991, unpub.)

DOOMSDAY

N =1.79 ×101 1

(2026.87 − tAD).99 von Foerster et al. (1960)

LOGISTIC

1N

=1No

−1Ncc

$

% &

'

( ) Exp(−bt) + 1/Ncc

Carrying Capacity

Size of population that can be indefinitely sustained by the environment.

Not necessarily fixed Estimates can be based on: Cultivated land = 1.73 billion ha (CIA)

Arable land = 1.58 billion ha (CIA)

Arable land = 3.2 billion ha =7.9x109 ac

Catholic Church => 40 billion (Cohen, p.188)

0

2

4

6

8

10

12

14

1600 1700 1800 1900 2000 2100 2200 2300

Observed PopulationLogistic 1.894%

Popu

latio

n

Year AD

Possibility 4: Overshoot & Collapse Degrade resource base => Lower standard of living

Delays in response

Meadows et al. 1992

EARTH’S POPULATION WILL Level off ? Logistic curve Undergo Overshoot & Collapse? due to delays in response Where are our leaders? cf. current political dialogue The population explosion is usually discussed as something that will occur in the future, but it is evident that it is upon us now!

June 26, 2008 Bush and the U.N. Population Fund By NICHOLAS D. KRISTOF

President Bush said today that he would withhold all U.S. funds for the U.N. Population Fund for the seventh straight year. …… Most important, UNFPA convinced China in 1992 to switch to a more effective but more expensive IUD, averting half a million abortions each year, 5 million abortions a decade. Does any anti-abortion group have that good a record? One of the major challenges around the world is the need for family planning, as well as assistance in fighting AIDS and maternal mortality. That’s UNFPA’s cause, and it’s appalling that the U.S. is for the seventh straight year boycotting this worthy effort.

NYT

Jan 24, 2017 Trump reverses abortion policy for aid to NGOs (=NGOs cannot receive funding) (CNN)

Jan 31, 2017 Neil Gorsuch, the Nominee for a Stolen Seat …... spells big trouble for public-sector labor unions, environmental regulations and women’s access to contraception NYT Editorial Board

NYT

0

0.5

1

1.5

2

2.5

1960 1980 2000 2020 2040

Growth Rate of World Population

Gro

wth

Rat

e, %

YEAR

data source: US Census Bureau

2016

0

2

4

6

8

10

12

14

16

1960 1980 2000 2020 2040

WORLD POPULATION

Popu

lation

in B

illion

s

Year AD

Doomsday

Exponential

US Census Bureau est.

LogisticOvershoot

& Collapse

2017


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