Calculating "population absurdities"

Click For Summary
SUMMARY

This discussion focuses on calculating "population absurdities," specifically the time when the global population will reach one person per square meter of land and when the total weight of humans will surpass the weight of the Earth. It emphasizes the use of the exponential growth formula N=N0e^(G/100)*t to derive the relationship between doubling time and growth rate. Participants are encouraged to analyze recent and projected population growth rates for specific countries, utilizing resources like the World Population Data Sheet from the Population Reference Bureau.

PREREQUISITES
  • Understanding of exponential growth models, specifically N=N0e^(G/100)*t
  • Familiarity with population growth rates and demographic data analysis
  • Knowledge of the World Population Data Sheet from the Population Reference Bureau
  • Basic mathematical skills for calculating doubling time and growth rates
NEXT STEPS
  • Calculate doubling time using the formula D = 70/G, where G is the growth rate
  • Research the latest World Population Data Sheet for demographic trends
  • Analyze population growth factors for a selected country or region
  • Explore the implications of population density on land use and resources
USEFUL FOR

This discussion is beneficial for demographers, environmental scientists, and students studying population dynamics and resource management.

Elissa Damron
Messages
1
Reaction score
0

Homework Statement


The urgency of population problems can be emphasized by calculating such "Population absurdities" as the time at which there will be one person per square meter or per square foot of land or the time at which the weight of people will exceed the weight of the earth. Try calculating these "Population absurdities" by using the world population projections from table 1.4 and the following data concerning the earth
2. Derive the relation between doubling time and growth rate, starting from the exponential-growth relation
N=N0e^(G/100)*t
where N= the growing quantity (number of people, tons of iron ore consumed annually, dollars in bank account, or whatever); N0 is the initial quantity at the start of the time period of interest; G is growth rate expressed in percent per year, and "percent" means "part per hundred"; and t is the time in years over which growth occurs. Keep in mind that doubling time, D, is the length of time required for N to double.
3. Select a single country or small set of related countries; examine recent and projected population growth rates in detail, including the factors contributing to the growth rates and trends in those rates. Compare with similar information for the United States or Canada. A useful starting point may be the latest World Population Data Sheet from the Population Reference Bureau. www.prb.org


27141150_996281197192282_1044449504_o.png


Homework Equations


Mass 5976 x 10^21 kg
Land surface area (approx.) 149,000,000 sq. km
Average weight of human body (approx.) 75 kg

The Attempt at a Solution


don't know where to start
 

Attachments

  • 27141150_996281197192282_1044449504_o.png
    27141150_996281197192282_1044449504_o.png
    55.8 KB · Views: 465
Physics news on Phys.org
Elissa Damron said:
there will be one person per square meter
Elissa Damron said:
Land surface area (approx.) 149,000,000 sq. km
How about here? "One step at a time."
 

Similar threads

Replies
2
Views
1K
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
13
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
3
Views
2K