Refers to the increase in the number of people living in a specific area over a given period of time.
Population Growth
Population growth occurs due to the combined effects of? (3)
Births
Deaths
Migration
Population growth can be studied and predicted using __________, which help us understand trends
and make future projections.
Mathematical models
2 Main types of population growth patterns
- Linear Growth
- Exponential Growth
• The population increases by a fixed number of people each year.
• This means the rate of growth is constant over time.
• Example: A town’s population grows by 500 people every year.
Linear Growth
The population increases by a fixed percentage each year.
• The rate of growth is proportional to the current population, meaning it grows faster as the population becomes larger.
• Example: A city’s population grows by 2% each year, leading to rapid increases over time.
Exponential growth
Formula of Linear Growth.
Formula: 𝑷𝒕 = 𝑷𝒐 + 𝒓𝒕
Where:
𝑷𝒕 = 𝒑𝒐𝒑𝒖𝒍𝒂𝒕𝒊𝒐𝒏 𝒂𝒇𝒕𝒆𝒓 𝒕 𝒚𝒆𝒂𝒓𝒔
𝑷𝟎 = 𝒊𝒏𝒊𝒕𝒊𝒂𝒍 𝒑𝒐𝒑𝒖𝒍𝒂𝒕𝒊𝒐𝒏
𝒓 = 𝒚𝒆𝒂𝒓𝒍𝒚 𝒊𝒏𝒄𝒓𝒆𝒂𝒔𝒆 ( 𝒂 𝒄𝒐𝒏𝒔𝒕𝒂𝒏𝒕 𝒏𝒖𝒎𝒃𝒆𝒓 )
𝒕 = 𝒕𝒊𝒎𝒆 𝒊𝒏 𝒚𝒆𝒂𝒓𝒔
Formula of Exponential Growth.
Formula: 𝑷𝒕 = 𝑷𝒐 (𝟏 + 𝒓)𝒕
Where:
𝑷𝒕 = 𝒑𝒐𝒑𝒖𝒍𝒂𝒕𝒊𝒐𝒏 𝒂𝒇𝒕𝒆𝒓 𝒕 𝒚𝒆𝒂𝒓𝒔
𝑷𝟎 = 𝒊𝒏𝒊𝒕𝒊𝒂𝒍 𝒑𝒐𝒑𝒖𝒍𝒂𝒕𝒊𝒐𝒏
𝒓 = 𝒂𝒏𝒏𝒖𝒂𝒍 𝒈𝒓𝒐𝒘𝒕𝒉 𝒓𝒂𝒕𝒆 (𝒊𝒏 𝒅𝒆𝒄𝒊𝒎𝒂𝒍 𝒇𝒐𝒓𝒎)
𝒕 = 𝒕𝒊𝒎𝒆 𝒊𝒏 𝒚𝒆𝒂𝒓𝒔
