Population and Income in Canada
Based on a McKinsey & Company research
A McKinsey & Company research on the trend of urban population and income by different city types in Canada was conducted in 2010. Both the extracted and projected data are shown in Exhibit 1:
Exhibit 1
Population and Income data by different city types, 2000 – 2010, 2030 projected
*Note: Information provided for each city type are from 2010
#1: It is projected that between 2010 and 2030, the total national urban population will increase by 5% and advanced cities will contribute 21% of the total urban population in 2030.
What portion (in %) of the increase in urban population in advanced cities from 2010 to 2030 is caused by the overall national urban population growth (as opposed to the gaining population of other city types) ?
#2: What is the appropriate ranking (from high to low) of the urban population density of each type of city? (Population density of each type of city is represented by the average urban population of each city).
#3: Given that GDP of Canada in 2010 was approximately $1,500 billion, 85% of which was urban GDP. Calculate the total annual income from the “poor” category of this country in 2010.
Click to see answer keys
#1: 10.64%
The total urban population in 2010 is Y; then we have the following information: Total Urban population in 2030: 1.05 x Y. Advanced cities population in 2030: 0.21 x 1.05Y Advanced cities population in 2010: 0.15 x Y The increase of population in advanced cities from 2010 to 2030: 0.21 x 1.05Y – 0.15Y = 0.0705Y Portion (in %) of the increase in urban population in advanced cities from 2010 to 2030 caused by national urban population growth: 0.15 x 0.05X / 0.0705X = 10.64%
#2: Advanced cities – Developing cities – Emerging cities – Lagging cities
If X is the total urban population of Canada, thus 0.15X is the urban population in 13 advanced cities as the average urban population in an advanced city is 0.012X 0.26X is the urban population in 80 developing cities as the average urban population in a developing city is 0.003X 0.45X is the urban population in 369 emerging cities as the average urban population in an emerging city is 0.0012X, and 0.14X is the urban population in 188 lagging cities as the average urban population in a lagging city is 0.0007X
#3: $121.25 billion
Total urban GDP in 2010: 1500B x 85% = $1,275 billion Total annual income from the “poor” category in 2010: (1,275 * 0.27 * 0.03) + (1,275 * 0.35 * 0.06) + (1,275 * 0.33 * 0.15) + (1,275 * 0.05 * 0.33) = $121.25 billion
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