Which of the following statements are correct about the Total Poverty Gap (TPG) ?

Question

UnlockIAS · Accepted Answer

Correct — option (1). The Total Poverty Gap is defined as the total amount of income that would have to be transferred to those living below the poverty line in order to lift every one of them exactly up to that line, and option (1) states that definition without alteration. The arithmetic behind the phrase is simple and worth doing once, because it fixes the idea permanently. Take each person or household whose income falls short of the poverty line, measure the shortfall — the poverty line minus that person's income — and add every one of those shortfalls together; the sum is the Total Poverty Gap. Nobody above the line contributes anything, because their shortfall is zero and negative shortfalls are not netted off, which is the reason the measure is a sum of gaps rather than a difference of averages. What makes the concept useful is what it captures that the more familiar headcount measure cannot. The headcount tells you how many people are poor and nothing whatever about how poor they are, so a person one rupee below the line counts exactly as much as a person at half the line's income, and a programme that moves the near-poor across while leaving the destitute untouched appears in the statistics as a large success. The Total Poverty Gap is sensitive to that difference, because a person far below the line contributes a large shortfall and a person just below it contributes a small one. It also carries a direct policy meaning that no other poverty statistic has: it is the minimum cost of eliminating poverty by cash transfer, the amount a perfectly targeted government would have to spend if it knew every household's income exactly and could pay each of them precisely their own shortfall. The word minimum is doing the work in that sentence, since no real programme has perfect information or zero administrative cost, so the actual expenditure required is always greater and the gap is a floor rather than a forecast. Dividing the total by the whole population gives the average poverty gap, and dividing the shortfalls by the poverty line before adding them gives the normalised measure usually called the poverty gap index, which is what allows the depth of poverty to be compared between countries whose poverty lines and currencies differ. Option (1) is therefore the answer, and the other three options are the definitions of three quite different concepts.

Why the other options are wrong — (b) This is the definition of the headcount — the number of people whose incomes fall below the absolute poverty line — and not of the Total Poverty Gap. The two are the standard pair in poverty measurement and the distinction between them is precisely what this question is testing. The headcount, or the headcount ratio when it is expressed as a share of the population, answers the question how many; the poverty gap answers the question how far below. The headcount's weakness is that it treats every poor person identically: a transfer that lifts a household from just below the line to just above it reduces the headcount by one, while a much larger transfer to a destitute household that still leaves it below the line reduces the headcount by nothing at all. That perverse incentive is exactly why the gap measures were developed, and it is why an examiner can rely on candidates who half-remember the topic to reach for the headcount definition here.  (c) This describes the functional distribution of income — the division of national income among the factors of production, that is the shares going to labour as wages, to capital as profit and interest, and to land as rent. It belongs to a different question altogether from poverty measurement. The distinction to hold is between the functional distribution, which asks how income is split between the factors that produced it, and the personal or size distribution, which asks how income is split between individuals or households ranked from poorest to richest; poverty and inequality measures all belong to the second family. The option is placed here because a candidate who recognises the words distribution and share may match them to poverty without reading further. Nothing in the phrase share of total national income that each factor of production receives refers to the poverty line at all, which is the quickest way to reject it.  (d) This is a description of an inequality measure, most obviously the Gini coefficient with its associated Lorenz curve, and not of the Total Poverty Gap. The confusion it exploits is a real one, because poverty and inequality are related and both are computed from the same income distribution, but they are logically distinct: inequality concerns the spread of incomes across the whole population and can be high in a country where nobody is poor, while poverty concerns only the position of those below a stated line and takes no account of how income is distributed above it. A further reason to reject this option is that the Total Poverty Gap is measured in units of money — it is an amount of income — whereas a measure of the relative degree of inequality is a pure ratio with no units. It is worth noting that the squared poverty gap, which weights each shortfall by itself, does bring in the distribution among the poor, but that is a different measure from the one named in the stem.

Concept: Measuring poverty requires three separate decisions, and most confusion in this part of the syllabus comes from running them together. The first is where to draw the poverty line, which may be absolute — a fixed basket of goods, or an income sufficient for a stated calorie intake and minimum non-food expenditure — or relative, defined as a fraction of the median income of the society in question. The second is who counts as poor, which is settled once the line is drawn. The third, and the one this question is about, is how the poverty of those below the line should be summarised in a number. Three answers are standard and they form a graded series. The headcount ratio counts the poor as a share of the population; it is easy to compute and easy to communicate, and it is blind to depth. The poverty gap adds up how far each poor person falls below the line; expressed as a total it gives the money needed to close the gap, expressed per head of the whole population it gives the average poverty gap, and expressed as a share of the poverty line it gives the poverty gap index that permits comparison across countries. The squared poverty gap weights each shortfall by itself, so that a very deep shortfall counts disproportionately, and thereby brings the distribution of income among the poor themselves into the measure; it is usually described as a measure of the severity rather than the depth of poverty. These three sit inside a single family — the Foster, Greer and Thorbecke class — distinguished only by the power to which the normalised gap is raised, zero for the headcount, one for the depth measure and two for the severity measure. Reading them as one family rather than three unrelated formulas makes the whole topic considerably shorter to learn.

State PCS 2022 Q23 — Economy PYQ with Answer

State PCS 2022 Q23 — Economy PYQ with Answer