D. Changing Populations · Changing Populations: Canada's People, Patterns and TrendsMeasuring Change: Birth Rates, Death Rates, Fertility and the Demographic Transition
D1.1 A1.4 A1.5About 70 minutes
Learning goals- I can calculate crude birth rate, crude death rate, natural increase rate and growth rate.
- I can explain total fertility rate and replacement level, and describe Canada's trend.
- I can use the rule of 70 to estimate doubling time.
- I can use the demographic transition model to describe how Canada's population has changed and compare it with other countries.
Words to know
crude birth rate (CBR)
The number of births per 1 000 people in one year: births ÷ population × 1 000.
crude death rate (CDR)
The number of deaths per 1 000 people in one year: deaths ÷ population × 1 000.
rate of natural increase
Birth rate minus death rate, usually shown as a percent: (CBR − CDR) ÷ 10.
total fertility rate (TFR)
The average number of children a woman would have in her lifetime if current birth patterns stayed the same.
replacement level
A total fertility rate of about 2.1 children per woman, which keeps a population stable over time without migration.
doubling time
How many years a population takes to double at a steady growth rate. Estimate it with the rule of 70: 70 ÷ growth rate (%).
demographic transition model (DTM)
A model that shows how birth and death rates usually change as a country's economy, health care and education develop.
life expectancy
The average number of years a newborn is expected to live if current death rates stay the same.
Hook: why use rates?
In 2023 there were 351,477 births in Canada (Statistics Canada). Is that a lot? It depends! The same number of births would be enormous in Nova Scotia and tiny in India. To compare places of different sizes, geographers turn counts into rates: how many per 1 000 people, or per woman, or percent per year.
The key rates
- Crude birth rate (CBR) = births ÷ population × 1 000
- Crude death rate (CDR) = deaths ÷ population × 1 000
- Rate of natural increase (%) = (CBR − CDR) ÷ 10
- Growth rate (%) = population change ÷ starting population × 100 (this one includes migration)
They are called crude because they compare births or deaths with the whole population, not just the people most likely to have babies or to die. A country with many seniors can have a high death rate even if its health care is excellent.
Worked exampleLet's calculate rates for a fictional town
A fictional town of 25 000 people has 250 births and 300 deaths in a year. Find the CBR, CDR and rate of natural increase.
- CBR = 250 ÷ 25 000 × 1 000 = 10 births per 1 000.
- CDR = 300 ÷ 25 000 × 1 000 = 12 deaths per 1 000.
- Rate of natural increase = (10 − 12) ÷ 10 = −0.2%.
- Interpret: without migration the town would shrink by about 0.2% a year. If it is growing, people must be moving in.
CBR 10, CDR 12, natural increase −0.2% per year.
Fertility: Canada's record lows
The total fertility rate (TFR) tells you how many children, on average, each woman would have. About 2.1 is the replacement level: enough to replace two parents, with a little extra because not every child survives to adulthood.
According to Statistics Canada, Canada's TFR fell to a record low of 1.26 children per woman in 2023. It has been generally declining for more than 15 years. British Columbia had the lowest rate, 1.00. Statistics Canada says Canada has joined the group of "lowest-low" fertility countries (1.3 or less), along with South Korea, Spain, Italy and Japan. Mothers are also older: in 2023, 26.5% of mothers were 35 or older, compared with 10.7% in 1993.
Why are people having fewer children? Researchers point to the high cost of housing and child care, more years in school, more women in paid work, and personal choice. These are interrelationships: economic and social factors affect a demographic trend.
Canada's total fertility rate (1.26 in 2023) is far below the replacement level of 2.1. Without immigration, Canada's population would eventually shrink.The rule of 70
If a population grows at a steady rate, you can estimate its doubling time:
Doubling time ≈ 70 ÷ growth rate (%)
At 1% a year, a population doubles in about 70 years. At 3.2% (Canada's rate in 2023), it would double in about 70 ÷ 3.2 ≈ 22 years, if that rate continued. It didn't: growth slowed sharply after 2024. That is why geographers are careful with predictions based on one year.
Worked exampleLet's estimate doubling time
Canada grew 5.2% in the five years from 2016 to 2021. That is about 1% per year. Estimate the doubling time at that pace.
- Average yearly rate: 5.2% ÷ 5 ≈ 1.04% (a simple estimate).
- Rule of 70: 70 ÷ 1.04 ≈ 67 years.
- Judge the prediction: it assumes growth stays the same for 67 years, which is unlikely. Immigration policy, fertility and ageing will all change.
About 67 years, as a rough estimate only.
The demographic transition model (DTM)
The DTM shows a pattern many countries have followed:
- Stage 1 (high stationary): high birth and death rates. Little growth. Food shortages and disease keep death rates high. No country is fully in stage 1 today.
- Stage 2 (early expanding): death rates fall quickly (cleaner water, vaccines, more food) but birth rates stay high. The population grows fast.
- Stage 3 (late expanding): birth rates fall (more education, especially for girls, more people in cities, access to family planning, children less needed as farm workers). Growth slows.
- Stage 4 (low stationary): low birth and death rates. Slow or no growth.
- Stage 5 (declining?): birth rate drops below the death rate. Without immigration, the population shrinks. Japan is often given as an example.
Canada is in stage 4, moving toward stage 5: fertility is far below replacement, and Statistics Canada recorded quarters in 2025 and 2026 with more deaths than births. Immigration is what keeps Canada's population from shrinking in most years.
In the DTM, the gap between the birth rate (solid line) and death rate (dashed line) is the natural increase. It is widest in stages 2 and 3, and can become negative in stage 5.Inquiry skill: models are tools, not laws (A1.5)
The DTM was built from the history of European countries and Canada. It does not predict exact dates, and it leaves out migration. When you use a model, say what it explains and what it misses. For example: "The DTM explains why Canada's natural increase is low, but it can't explain why Canada grew 3.2% in 2023. That came from immigration."
Life expectancy and death rates
Canadians live long lives on average, and women live longer than men on average. As more people live into their 80s and 90s, the number of deaths rises each year because the population is older, even though health care has improved. This is why Canada's crude death rate can rise while life expectancy stays high. It is a good example of why you must think about age structure when reading crude rates (next lesson).
Hands-on activityGraph a country's transition
You need: paper, a ruler, a pencil (or a spreadsheet), and an adult to help look up data.
- Find birth and death rates (per 1 000) for one country at four dates, for example 1960, 1980, 2000 and 2020. A free source is the World Bank data site or the United Nations World Population Prospects site.
- Draw a line graph with two lines: birth rate and death rate.
- Shade the gap between the lines. That gap is the rate of natural increase.
- Decide which DTM stage the country was in at each date.
- Write two sentences explaining one factor that might have caused the change.
Look for: labelled axes with units (per 1 000), a title, the source written under the graph, and a stage decision supported by evidence ("Birth rate fell from 40 to 20 while the death rate stayed low, so the country moved from stage 2 to stage 3").
Just for funWhy did the demographer bring a calculator to the birthday party?
Because every birthday counts... per 1 000 people.
Your turn
1A city of 80 000 has 720 births in a year. What is its crude birth rate?
720 ÷ 80 000 × 1 000 = 9 births per 1 000 people.
2The same city has 640 deaths. Find its CDR and its rate of natural increase.
CDR = 640 ÷ 80 000 × 1 000 = 8 per 1 000. Natural increase = (9 − 8) ÷ 10 = 0.1% per year.
3What does a total fertility rate of 1.26 mean?
On average, each woman would have about 1.26 children in her lifetime if current patterns stayed the same. That is far below replacement level (2.1).
4Use the rule of 70: how long would a population growing at 2% per year take to double?
5In which DTM stage do death rates fall but birth rates stay high?
Stage 2 (early expanding). The population grows quickly.
6Why is a crude death rate not always a good measure of health care quality?
It compares deaths with the whole population, so a country with many older people has more deaths per 1 000 even if its health care is very good.
7Which stage of the DTM best describes Canada today? Give one piece of evidence.
Stage 4, moving toward stage 5. Evidence: a TFR of 1.26 (2023), far below replacement, and some recent quarters with more deaths than births.
More practice: warm-up
1What is the replacement level fertility rate?
About 2.1 children per woman.
2Write the formula for crude birth rate.
Births ÷ population × 1 000.
3What was Canada's total fertility rate in 2023?
1.26 children per woman (Statistics Canada).
4Rule of 70: doubling time at 7% growth?
5Which province had the lowest fertility rate in 2023?
British Columbia, at 1.00.
More practice: on your own
1A town's CBR is 14 and CDR is 6. Find the rate of natural increase and the doubling time if there is no migration.
Natural increase = (14 − 6) ÷ 10 = 0.8%. Doubling time ≈ 70 ÷ 0.8 ≈ 88 years.
2Give two reasons why birth rates fall in stage 3 of the DTM.
Any two: more education, especially for girls and women; more people living in cities, where children are not needed as farm workers; access to family planning; lower infant mortality, so families don't need more children to make sure some survive; more women in paid work.
3Explain why Canada's number of deaths per year can rise even though Canadians are living longer.
The baby boom generation is ageing, so there are more people in older age groups. More older people means more deaths each year, even with long life expectancy.
4A student says the DTM proves every country will reach stage 5. Do you agree?
No. The DTM is a model based mainly on the history of Europe and North America. Countries can move at different speeds or follow different paths, and it leaves out migration, war, disease and government policy.
5Calculate the share of Canadian mothers aged 35+ in 2023 compared with 1993. By how many percentage points did it rise?
26.5% − 10.7% = 15.8 percentage points. The share more than doubled, showing people are having children later.
Challenge
1Canada's 2023 growth rate was 3.2%. Use the rule of 70, then explain why this estimate was not a good prediction.
70 ÷ 3.2 ≈ 22 years. It was a poor prediction because the high growth came mostly from temporary immigration, which government policy then reduced. Growth slowed sharply and preliminary estimates showed a decrease in 2025. A one-year rate should not be stretched over decades.
2Explain how the high cost of housing could be connected to Canada's falling fertility rate. Name the geographic thinking concept you are using.
Young adults who pay high rents or cannot afford a home may delay having children or choose to have fewer, so fertility falls. This is the concept of interrelationships: an economic factor (housing costs) affects a demographic trend (fertility).
3Two countries both have a crude death rate of 10 per 1 000. Country A has a young population; Country B has an old one. Which probably has better health conditions? Explain.
Country B probably does. An old population naturally has more deaths per 1 000. If a young population (Country A) has the same death rate, people must be dying at younger ages, which suggests poorer health conditions. Crude rates must be read with age structure in mind.
Check your understandingQuiz
1. What is the crude birth rate of a place with 300 births and 20 000 people?
2. What total fertility rate is called replacement level?
3. At 3.5% growth per year, about how long would a population take to double?
4. In which DTM stage is the population growing fastest because death rates have fallen but birth rates are still high?
5. What was Canada's total fertility rate in 2023, according to Statistics Canada?
6. What does the demographic transition model leave out?
For parents and teachersBig idea: Expectation D1.1 asks students to analyse Canada's demographic characteristics and trends. Rates, fertility and the DTM give them the tools. Graphing a country's transition practises A1.4 (constructing and analysing graphs), and judging the model practises A1.5.
Common difficulties:
- Forgetting × 1 000. Crude rates are per 1 000, not percents.
- Natural increase rate: (CBR − CDR) ÷ 10 converts "per 1 000" into a percent.
- Thinking the DTM includes migration. It does not.
How to help: If the topic of family size comes up, keep it general and respectful: families are all different, and this lesson is about averages across a whole country. Ask your teen to explain the rule of 70 using a savings account, which grows the same way.