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Growth elasticity of poverty

Growth elasticity of poverty is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Growth elasticity of poverty rather than just read about it. In short: Growth elasticity of poverty (GEP) is the percentage reduction in poverty rates associated with a percentage change in mean (per capita) income. Mathematically; G E P = − % d P R % d y {\displaystyle \mathrm {GEP} =-{\frac {\%d\mathrm {PR} }{\%dy}}\,} where PR is a poverty measure and y is per capita income.

Key takeaways

  • Growth elasticity of poverty belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Growth elasticity of poverty to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Growth elasticity of poverty from memory before moving on to harder problems.

Reference excerpt

Growth elasticity of poverty (GEP) is the percentage reduction in poverty rates associated with a percentage change in mean (per capita) income. Mathematically;

G E P = − % d P R % d y {\displaystyle \mathrm {GEP} =-{\frac {\%d\mathrm {PR} }{\%dy}}\,}

where PR is a poverty measure and y is per capita income. Generally, increases in per capita income tend to decrease the poverty rate, hence the elasticity is positive. Standard estimates of GEP for developing countries range from 1.5 to 5, with an average estimate of around 3. This implies that a 1% increase in per capita income is associated with a 3% decrease in the poverty rate (proportion of people living on less than $1 per day). This implies that economic growth is fundamental to reducing poverty rates, particularly in low income countries. However, the GEP also depends on other variables, among them the initial level of income inequality. Countries with a more equal distribution of income (as measured for example by the Gini index) experience a greater reduction in the poverty rate for a given increase in per capita income. The GEP ranges from slightly less than 1 for very unequal countries, to as high as 6 for very equal countries. This suggests that in poor countries that also have a very unequal distribution of income, economic reforms aimed at reducing inequality may be a prerequisite for pro-growth policies to make a substantial impact on poverty levels. On the other hand, for poor countries which already have an equitable distribution of income, pro growth policies should be the main poverty fighting tools (even if they increase inequality).

References Francois Bourguignon, "Growth Elasticity of Poverty Reduction: Explaining Heterogeneity across Countries and Time Periods" in Inequality and Growth, Ch. 1. [1]

Worked examples

Example 1 — a first encounter with Growth elasticity of poverty

Start with the simplest possible case. Write down what Growth elasticity of poverty claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Growth elasticity of poverty before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Growth elasticity of poverty ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Growth elasticity of poverty

In research
Growth elasticity of poverty appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Growth elasticity of poverty in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Growth elasticity of poverty is common in secondary-school and first-year university syllabi. It links to neighbouring topics Measurements and definitions of poverty, Ordinary differential equations, so understanding it makes those chapters shorter.
In everyday life
Look for Growth elasticity of poverty outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Growth elasticity of poverty in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Growth elasticity of poverty means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Growth elasticity of poverty out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Growth elasticity of poverty in simple terms?

Growth elasticity of poverty (GEP) is the percentage reduction in poverty rates associated with a percentage change in mean (per capita) income. Mathematically; G E P = − % d P R % d y {\displaystyle \mathrm {GEP} =-{\frac {\%d\mathrm {PR} }{\%dy}}\,} where PR is a poverty measure and y is per capi…

Why does Growth elasticity of poverty matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Growth elasticity of poverty?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Growth elasticity of poverty.

Tags

  • Measurements and definitions of poverty
  • Ordinary differential equations

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