- The Lorenz curve is a graphical representation used to illustrate income or wealth distribution within a population.
- It plots the cumulative percentage of total income or wealth received by the bottom x% of the population against the cumulative percentage of the population ranked from the poorest to the richest.
Construction of the Lorenz Curve:
- Data Collection:
- To construct a Lorenz curve, data on individual or household incomes or wealth levels are collected and sorted in ascending order from lowest to highest.
- Cumulative Shares Calculation:
- Plotting the Curve:
- The cumulative shares of income or wealth are then plotted on the y-axis, while the cumulative percentage of the population is plotted on the x-axis.
- Each point on the Lorenz curve represents the level of inequality, with points closer to the line of perfect equality indicating lower inequality, and points farther away indicating higher inequality.
Interpretation of the Lorenz Curve:
- The Lorenz curve provides insights into the distributional characteristics of income or wealth within a population and helps assess the degree of inequality.
- A Lorenz curve that lies closer to the line of perfect equality (the 45-degree diagonal line) represents more equal distribution, while a curve that deviates further from the line indicates greater inequality.
- The extent of the curvature of the Lorenz curve reflects the degree of income or wealth concentration, with a more bowed curve indicating higher levels of inequality.
Implications of the Lorenz Curve:
- Income or Wealth Inequality:
- Policy Evaluation:
- Policymakers use the Lorenz curve to evaluate the effectiveness of policies aimed at reducing income or wealth inequality.
- Changes in the shape or position of the Lorenz curve over time can indicate whether inequality is decreasing, increasing, or remaining unchanged in response to policy interventions.
- Social Welfare Analysis:
- The Lorenz curve is used in social welfare analysis to assess the distributional impact of economic policies and programs on different segments of the population.
- It helps identify groups that may be disproportionately affected by inequality and inform targeted policy responses to address their needs.
Limitations of the Lorenz Curve:
- The Lorenz curve provides a snapshot of income or wealth distribution at a specific point in time and may not capture dynamic changes in inequality over time.
- It relies on accurate and comprehensive data on income or wealth, which may be subject to measurement errors, underreporting, or sampling biases.
Conclusion:
The Lorenz curve is a valuable tool for visualizing income or wealth distribution and assessing the level of inequality within a population. By analyzing the shape and position of the Lorenz curve, policymakers and researchers can gain insights into the distributional characteristics of income or wealth and develop targeted strategies to promote greater economic equity and social cohesion. Collaboration among governments, civil society, and the private sector is essential for designing and implementing policies that address the root causes of inequality and promote inclusive and sustainable development for all members of society.
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