Principles of Macroeconomics: Long-Run Growth Study Guide

Fundamental Definitions of Economic Growth

• Output growth: This refers specifically to the growth rate of the output of the entire economy.

• Per-capita output growth: The growth rate of output per person in the economy.

• Labor productivity growth: The growth rate of output per worker.

The Growth Process: From Agriculture to Industry

• Historical Origins: The process of modern economic growth began in England around $1750$. This period saw technical changes and capital accumulation that significantly increased productivity within agriculture and textiles.

• Mechanisms of Change:     - Invention and Machinery: New inventions and machinery allowed for higher production levels using fewer resources.     - Impact of Growth: Economic growth resulted in the introduction of new products, an increase in total output, and a wider variety of choices for consumers.     - Societal Transformation: Societies shifted rapidly from rural, agrarian structures to urban, industrial societies.     - Primary Drivers: Growth is fundamentally driven by a larger workforce and an increase in the productivity of workers.

• Growth Theories and Convergence:     - Catch-up: A theory stating that the growth rates of less developed countries will exceed the growth rates of developed countries, eventually allowing the less developed countries to catch up.     - Convergence Theory: The idea that gaps in national incomes between different countries tend to close over time.     - Advantages of Backwardness: A term coined by an economic historian to describe the phenomenon where less developed countries "leap ahead" by borrowing technology from more developed countries.

• The Production Possibility Frontier (PPF):     - The PPF represents all possible combinations of output that can be produced when all of a society's scarce resources are fully and efficiently employed.     - Economic Growth and the PPF: Growth expands a society's production possibilities, which is represented graphically by a shift of the PPF up and to the right.

Comparative Real GDP Growth (2004–2023)

Based on the Economic Report of the President ($2023$, Table B-$61$), the average annual growth rates for various regions and countries for the period $2004$-$2023$ include:

• United States: $1.9\%$

• Japan: $0.6\%$

• Germany: $1.2\%$

• France: $1.1\%$

• United Kingdom: $1.3\%$

• China: $8.1\%$

• India: $6.6\%$

• Sub-Saharan Africa: $4.3\%$

Sources of Economic Growth

• Aggregate Production Function: A mathematical relationship stating that total GDP (output) is dependent on the total amount of labor used and the total amount of capital used. A simple representation is: $Y = f(L, K)$.

• Factors of Production: Both capital and labor are necessary for production. An increase in either factor results in increased output ($Y$).

Labor Supply and Diminishing Returns

• Diminishing Returns to Labor: In the absence of an increase in the capital stock ($K$), as the quantity of labor ($L$) increases, less and less additional output will be produced by each new worker.

• Impact on Productivity: As the labor supply grows while capital remains fixed, output increases but at a declining rate. This reduces labor productivity ($Y/L$).

• Growth from Increase in Labor (Table 16.2 Example):     - Period 1: $L = 100$, $K = 100$, $Y = 300$, Labor Productivity ($Y/L$) = $3.0$.     - Period 2: $L = 110$, $K = 100$, $Y = 320$, Labor Productivity ($Y/L$) = $2.9$, Marginal Return ($\Delta Y / \Delta L$) = $2.0$.     - Period 3: $L = 120$, $K = 100$, $Y = 339$, Labor Productivity ($Y/L$) = $2.8$, Marginal Return ($\Delta Y / \Delta L$) = $1.9$.     - Period 4: $L = 130$, $K = 100$, $Y = 357$, Labor Productivity ($Y/L$) = $2.7$, Marginal Return ($\Delta Y / \Delta L$) = $1.8$.

U.S. Employment, Labor Force, and Population (1960–2023)

According to Bureau of Labor Statistics data (FRED variables CNP$16$OV, CLF$160$V, CE$16$OV):

• 1960: Population ($117.2$ million), Labor Force ($69.7$ million, $59.5\%$ of population), Employment ($65.8$ million).

• 1970: Population ($137.1$ million), Labor Force ($82.8$ million, $60.4\%$ of population), Employment ($78.7$ million).

• 1980: Population ($167.7$ million), Labor Force ($107.0$ million, $63.8\%$ of population), Employment ($99.3$ million).

• 1990: Population ($189.2$ million), Labor Force ($125.9$ million, $66.5\%$ of population), Employment ($118.8$ million).

• 2000: Population ($212.6$ million), Labor Force ($142.6$ million, $67.1\%$ of population), Employment ($136.9$ million).

• 2010: Population ($237.8$ million), Labor Force ($153.9$ million, $64.7\%$ of population), Employment ($139.1$ million).

• 2023: Population ($266.9$ million), Labor Force ($167.1$ million, $62.6\%$ of population), Employment ($161.0$ million).

• Total Growth (1960-2023):     - Population Change: $+127.7\%$ ($1.3\%$ annual rate).     - Labor Force Change: $+139.7\%$ ($1.4\%$ annual rate).     - Employment Change: $+144.7\%$ ($1.4\%$ annual rate).

Physical Capital and Foreign Investment

• Diminishing Returns to Capital: Adding more capital to a fixed supply of labor eventually results in diminishing returns.

• Foreign Direct Investment (FDI): Investment in enterprises made in a country by residents outside that country.

• Fragile Countries: A term used by the World Bank to describe countries with poor institutions, corruption, and inadequate protection for investors, which leads to struggles in attracting capital.

• Economic Growth from Incremental Capital (Table 16.4 Example):     - Period 1: $L = 100$, $K = 100$, $Y = 300$, Labor Productivity $= 3.0$, Output per Capital ($Y/K$) $= 3.0$.     - Period 2: $L = 100$, $K = 110$, $Y = 310$, Labor Productivity $= 3.1$, Output per Capital $= 2.8$, Marginal Return ($\Delta Y / \Delta L$) $= 1.0$.     - Period 3: $L = 100$, $K = 120$, $Y = 319$, Labor Productivity $= 3.2$, Output per Capital $= 2.7$, Marginal Return ($\Delta Y / \Delta L$) $= 0.9$.     - Period 4: $L = 100$, $K = 130$, $Y = 327$, Labor Productivity $= 3.3$, Output per Capital $= 2.5$, Marginal Return ($\Delta Y / \Delta L$) $= 0.8$.

• Observations: Additional capital increase labor productivity ($Y/L$), while the output per capital ($Y/K$) declines due to diminishing returns.

U.S. Fixed Private Nonresidential Net Capital Stock (1960–2022)

Data in Billions of $2017$ Dollars:

• 1960: Equipment ($679.2$), Structures ($4,218.5$).

• 1970: Equipment ($1,156.1$), Structures ($5,826.0$).

• 1980: Equipment ($1,917.9$), Structures ($7,687.8$).

• 1990: Equipment ($2,528.7$), Structures ($10,180.5$).

• 2000: Equipment ($3,885.2$), Structures ($11,981.2$).

• 2010: Equipment ($5,197.9$), Structures ($13,393.8$).

• 2022: Equipment ($7,523.9$), Structures ($14,756.4$).

• Growth Rates: Equipment grew at an annual rate of $4.0\%$, while structures grew at $2.2\%$. Since these rates exceed labor growth, capital has grown relative to labor.

Human Capital and Education

• Human Capital Definition: Refers to the quality of the labor supply. Increases in education levels lead to higher labor productivity.

• Trends in U.S. Educational Attainment (People > 25 Years Old):     - 1940: <5 years school ($13.7\%$), $4$ years High School or more ($24.5\%$), $4$ years College or more ($4.6\%$).     - 1960: <5 years school ($8.3\%$), $4$ years High School or more ($4.1\%$), $4$ years College or more ($7.7\%$).     - 1980: <5 years school ($3.6\%$), $4$ years High School or more ($66.5\%$), $4$ years College or more ($16.2\%$).     - 2022: $4$ years High School or more ($91.2\%$), $4$ years College or more ($37.7\%$).

• Economics in Practice: German Jewish Émigrés: During the emigration period to the U.S., over $133,000$ Jewish émigrés arrived, including chemists with significant human capital. Economists found these émigrés increased patenting rates in their fields by more than $30\%$.

Technical Change and Innovation

• Embodied Technical Change: Technical change that results in an improvement in the quality of capital, thereby increasing labor productivity.

• Disembodied Technical Change: Technical change that results in a change in the production process or firm management efficiency. These changes are generally positive, leading to higher labor productivity.

• Key Terms:     - Invention: An advance in knowledge.     - Innovation: The use of new knowledge to produce a new product or an existing product more efficiently.

• Research and Development (R&D): A common measure for R&D inputs is the fraction of GDP spent on it. The National Academies of Science has expressed concern that the U.S. lead in science and technology is fragile and could be difficult to recover if lost.

U.S. Labor Productivity Trends (1952–2023)

• The 1970s Slowdown: A notable decline in productivity growth occurred due to a low saving rate, increased environmental and government regulation, and low R&D spending.

• Recovery and Recent Trends: Productivity rose to $2.0\%$ between $1993$ and $2010$ as factors from the $1970$s reversed. However, there has been another slowdown since $2010$.

Economics in Practice: Strategy for Growth in India

• Current Status: By $2024$, India was the fifth-largest economy ($3.4$ trillion GDP) and is projected to be the third-largest by $2027$.

• Growth Drivers: Robust domestic demand, infrastructure investment, tax reform, private consumption, and urbanization (transitioning from informal to formal economies).

• Critical Thinking Question: How will increased participation of women in the labor force impact India?

Growth, Sustainability, and the Environment

• Growth Strategies: Southeast Asia has utilized export-led manufacturing. Resource-extraction economies require heavy investment in infrastructure because extraction does not require a highly educated labor force.

• Malthus and Resource Limits: The debate on whether natural resources impose growth limits has persisted since Malthus.

• Urban Air Pollution (Inverted U Curve): Research by Gene Grossman and Alan Krueger ($1995$) shows that urban smoke concentration first increases with per-capita GDP growth then declines as countries become wealthier.

• The Limits to Growth (Club of Rome, 1972):     - The Theory: Suggested global economic collapse after $2000$ due to nonrenewable resource depletion.     - The Capital Cycle: Industrial growth eventually requires massive resource inputs. Depletion causes resource prices to rise, forcing more capital into extraction and leaving less for growth.     - The Collapse: Investment eventually fails to keep up with depreciation, leading to an industrial base collapse. This impacts agriculture (fertilizers, pesticides) and services. Population eventually declines as death rates rise due to food and health service shortages.

Questions & Discussion

• India Strategy Critical Thinking: "How will increased participation of women in the labor force impact India?"     - Note: This question prompts students to consider the impact of expanding the labor supply ($L$) and human capital on GDP trends.

• German Emigration Critical Thinking: "Show on a production possibility frontier the effects of the new German emigration."     - Note: This implies a shift of the PPF frontier up and to the right due to increased human capital and innovation capabilities.