Production and Growth – Comprehensive Study Notes

Understand cross-country differences in economic growth and living standards.
Recognise productivity as the central determinant of a nation’s standard of living.
Identify the four proximate determinants of productivity (physical capital, human capital, natural resources, technological knowledge) and the deeper institutional/policy variables that shape them.
Analyse how public policies—saving and investment, openness to foreign capital, education, property rights, research & development, population control—affect productivity growth.

Average income in rich economies (Canada, U.S., Germany) exceeds that of poor economies (India, Indonesia, Nigeria) by >10×.
- Reflected in automobiles, telephones, TVs, nutrition, housing quality, healthcare, life expectancy.
Long-run change within a country can also be large.
- Canada’s real GDP per person ↑ ≈ $2\%$ per year for a century → income doubles every 35 years → today ≈ 8× 100 years ago.
Contemporary contrasts (2000–2014):
- China: GDP per person growth ≈ $11\%$ p.a. ⇒ 357 % cumulative.
- Zimbabwe: −13 % cumulative over same years.
Table 7.1 (highlights):
- Canada $1870: \$3{,}282 \rightarrow 2014: \$56{,}307;\; g=1.99\%$ .
- Growth-ranking: Brazil, China, Japan (fast); Pakistan, Bangladesh, U.K. (slow).
- U.K. was richest in 1870 (20 % above U.S.), now ≈30 % below U.S.
Moral: rich nations can fall behind; poor nations are not condemned to permanent poverty.

One-person economy: consumes exactly what he produces.
Living standard entirely tied to productivity (fish/hour, vegetables/hour, clothes/hour).
Lessons generalise: a nation’s per-capita GDP = per-capita production; productivity growth = income growth.

Productivity = output per unit of labour input.
- Formal: $\text{Productivity}=\frac{Y}{L}$ where $Y$ = real GDP, $L$ = hours worked.
Because $Y$ = income = expenditure, higher productivity raises both sides of the GDP identity.

Physical Capital (K)
- Produced means of production: machinery, buildings, infrastructure.
- "Capital is itself the result of past production."
Human Capital (H)
- Knowledge & skills acquired via education, training, experience.
- Produced factor—requires teachers, libraries, student time.
Natural Resources (N)
- Inputs supplied by nature: land, rivers, minerals, oil.
- Renewable vs non-renewable distinction.
- Not necessary for high income—Japan is rich yet resource-poor; trade substitutes.
Technological Knowledge (A)
- Society’s understanding of best production methods.
- Forms: common knowledge (assembly line), proprietary (Coca-Cola recipe), temporary proprietary (patented drug).
- Distinct from human capital: textbooks vs time spent studying them.

General form: $Y = A\,F(K,\,L,\,H,\,N).$
Constant returns to scale (CRS): $xY = A\,F(xK,\,xL,\,xH,\,xN)$ for any x>0.
- Setting $x=1/L$ ⇒ $\frac{Y}{L}=A\,F!\left(\frac{K}{L},\,1,\,\frac{H}{L},\,\frac{N}{L}\right).$
- Shows that productivity depends on capital per worker, human capital per worker, natural resources per worker, and technology.

Capital accumulation raises future productivity.
Requires current sacrifice: consume less now, save/invest more.
Well-functioning, transparent financial markets efficiently match saving with investment.
- 2007-09 crisis illustrated how mistrust of finance can stall global growth.

Marginal product of capital falls as the capital stock rises (Figure 7.1).
Higher saving rate → temporarily higher growth until new steady-state K/L reached.
Poor countries typically grow faster because additional capital yields larger productivity gains (catch-up).
- Example: 1960–90 South Korea vs Canada—same investment share, different initial K/L → SK growth >6 %, Canada ≈2.5 %.

Forms:
- Foreign Direct Investment (FDI): Bombardier builds plant in Ireland.
- Foreign Portfolio Investment (FPI): Canadian buys Irish shares; firm builds factory.
Raises recipient’s K, productivity, wages, and brings technology transfer, even though some returns repatriate.
Institutions promoting cross-border capital: World Bank & IMF (post-WWII aims to reduce economic distress and conflict).

Historically in Canada: each additional year of schooling ↑ wages ≈10 %.
Opportunity cost: foregone wages while studying—especially binding in poor nations.
Positive externalities: educated workers generate ideas that benefit others ⇒ social return > private return ⇒ justification for public education subsidies.

Technological advance is the primary driver of rising living standards.
Knowledge is largely a public good; government role parallels national defence.
- Canadian examples:
- Dominion Experimental Farms → Marquis wheat (1911) ⇒ Prairie expansion.
- Government-funded CANDU reactor research.
Policies: research grants (NSERC, CIHR, SSHRC), R&D tax credits, patent system (temporary monopoly rights) to internalise returns.

Growth rates of real output per worker:
- 1966–73: $1.8\%$ p.a. (fast)
- 1974–82: $0.5\%$ (oil-price shock)
- 1983–88: $1.7\%$
- 1989–95: $0.9\%$
- 1996–2000: $2.1\%$ (cheaper computing)
- 2001–18: $0.7\%$ (financial crisis 2008–09 dragged average)
Long-run (1921–2018) Canadian average ≈ $2\%$ ; deviations common.
Counterfactual: had 1966–73 rate persisted, average Canadian income today would be 45 % higher.

Larger population → more workers (↑L) and more consumers.
Impact on GDP vs GDP per capita ambiguous; depends on how population affects K/L and H/L.
Geographic aspect: proximity to coasts lowers trade costs → coastal nations’ GDP per capita ≈4× landlocked nations’ (if >80 % pop. within 100 km of coast).

Rockefeller vs You (FYI box)
- 1890s richest American lacked AC, cars, antibiotics, internet. Would you exchange modern conveniences for $200\text{ billion}?$ Highlights understatement of real-income gains due to new goods.
Robinson Crusoe (micro-macro analogy).
Most Improved Student metaphor for catch-up effect.

Doubling time (rule of 70): $\text{Years to double}\approx\frac{70}{g(\%)}.$
Growth-cumulation example (Canada 1870–2014): $g=1.99\%\;\Rightarrow Y<em>{2014}=Y</em>{1870}\,(1+g)^{144}\approx\$56{,}307.$
Production function with CRS: $Y=A\,F(K, L, H, N)$ ; dividing by $L$ gives productivity determinants.

Secure property rights and political stability → encourage saving & investment.
Maintain transparent, well-regulated financial markets → allocate capital efficiently.
Encourage openness to international trade & capital → access to larger markets, technologies, and financing.
Invest in people: quality education, health, and training pay high social returns.
Support innovation: public R&D funding, strong yet balanced patent laws.
Recognise diminishing returns: capital-deepening alone cannot sustain high growth indefinitely; technological progress is essential.
Manage population growth and urban planning to optimise capital-labour ratios and exploit agglomeration benefits.