MPSC 2022 Prelims Paper-I · Question 23 of 100

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.

• (2)TPG is the number of those whose incomes fall below absolute poverty line. — 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.
• (3)TPG measures the share of total national income that each factor of production receives. — 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.
• (4)TPG measures the relative degree of income inequality in a country. — 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.

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.

Poverty measurement is a standing item in MPSC's economy section, and the Commission tests it in the way this question does — by offering the textbook definitions of four different concepts and asking which belongs to the term in the stem. The format rewards a candidate who has learnt definitions as definitions rather than as impressions, because all four options here are true statements about something; only one of them is a true statement about the Total Poverty Gap. When a question is built this way, the efficient method is to name the concept each option actually defines before choosing: recognising option (2) as the headcount, option (3) as the functional distribution of income and option (4) as the Gini coefficient converts a hard recall question into an easy elimination. There is a printing feature of this particular item that a student should notice, because it recurs in this paper. The English stem asks which of the following statements are correct, in the plural, while the Marathi stem asks the same question in the singular, and only one option is keyed. A candidate reading the English column could reasonably start hunting for two or more correct statements and lose time before realising that the four rows are ordinary options rather than a statement list. Where a stem's grammar and its option structure disagree, the option structure is the reliable guide: four full sentences printed one to a row under the option numerals are options, and exactly one of them is to be chosen.

• The Total Poverty Gap is the sum of the shortfalls of all those below the poverty line — that is, the total amount of income that would have to be transferred to raise every poor person exactly up to the line.
• It is the minimum cost of eliminating poverty by cash transfer, achievable only under perfect targeting and zero administrative cost, so it is a floor on the required expenditure rather than an estimate of it.
• The headcount and the headcount ratio measure how many people are poor and are wholly insensitive to how far below the line they fall, which is the weakness the gap measures were designed to correct.
• Dividing the total gap by the population gives the average poverty gap; dividing each shortfall by the poverty line before summing gives the normalised poverty gap index, which permits comparison between countries with different lines and currencies.
• The headcount ratio, the poverty gap index and the squared poverty gap belong to a single family of measures distinguished by the power to which the normalised shortfall is raised — zero, one and two respectively — with the squared measure capturing the severity of poverty rather than only its depth.

• Defining the Total Poverty Gap as the number of poor people, which is the headcount; the gap is an amount of money and the headcount is a count of persons
• Treating poverty and inequality as the same measurement problem, when inequality describes the spread of income across the whole population and poverty describes only the position of those below a stated line
• Reading the plural in the English stem, which asks which statements are correct, as a signal that more than one option is to be chosen, when the four rows are ordinary options and exactly one is keyed
• Forgetting that the Total Poverty Gap is only the minimum transfer needed under perfect targeting, and quoting it as the actual budget a government would require to abolish poverty

MPSC sets poverty and inequality either as definition-matching items of the kind used here, or as questions about India's own poverty estimates — which committee recommended which methodology, which agency conducts the consumption expenditure survey, and how the state of Maharashtra compares with the national figure. Definition-matching items are set from standard development economics textbooks and the option set is usually built by taking the correct definition and surrounding it with the definitions of three neighbouring concepts, most often the headcount, the Gini coefficient and some measure of income shares. The defence against them is to learn each term with the sentence that defines it and with one sentence saying what it is not, since the second sentence is what the distractors are made of. Questions on committee names and estimate years are worth preparing separately, because they turn on facts that no amount of conceptual understanding will supply.

No directly related past PYQ was found.

• practice — not a real PYQ

  A government transfers money to households just below the poverty line, lifting them across it, while the poorest households receive nothing. What happens to the headcount ratio and to the total poverty gap ?

  • (a)Both fall sharply
  • (b)The headcount ratio falls, while the total poverty gap falls only by the small shortfalls that were closed
  • (c)The headcount ratio is unchanged while the total poverty gap falls sharply
  • (d)Both are unchanged, because transfers are not counted as income

  Answer(b) The headcount ratio falls, while the total poverty gap falls only by the small shortfalls that were closed. This is the standard illustration of why the two measures are needed together: the headcount records a person crossing the line as a full success regardless of how small the transfer was, so targeting the near-poor is the cheapest way to improve it, while the gap measure records only the money actually required and is therefore unimpressed by such a programme. The poorest households, whose shortfalls are the largest, still contribute the same amounts to the total gap.

• practice — not a real PYQ

  Which of the following statements about the Total Poverty Gap is correct ?

  • (a)It is a pure ratio with no units, like the Gini coefficient
  • (b)It is measured in money and represents the minimum transfer needed to raise all the poor to the poverty line
  • (c)It measures the share of national income received by the poorest twenty per cent of households
  • (d)It rises when income inequality among households above the poverty line increases

  Answer(b) It is measured in money and represents the minimum transfer needed to raise all the poor to the poverty line. The word minimum matters: the figure assumes perfect targeting, so a real programme with imperfect information and administrative costs would need more. The first of the other choices confuses it with an inequality index, which is unit-free; the third describes an income-share statistic; and the fourth is wrong because nothing above the poverty line enters the calculation at all — only shortfalls below the line are summed.