kuznets paper curve ushape
TRANSCRIPT
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Economic Growth and Income Inequality
Simon Kuznets
The American Economic Review, Vol. 45, No. 1. (Mar., 1955), pp. 1-28.
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The
American
Economic Review
VOLUME XLV
MARCH, 955
NUMBER ONE
E C O N O M I C G R O W T H
AND
I N C O M E I N EQ U A L I TY *
y SIMO NKU ZN ET S
T he cen tral theme of this pap er is the chara cte r an d causes of long-
term changes in the personal distribution of income. Does inequality
in the d istribution of income increase or decrease in th e course of a
country s economic gro w th? W hat factors de termin e the secular level
and tre nd s of income inequa lities?
These are broad questions in a field of stu dy th at h as been plagued
by looseness in definitions, unusu al scarcity of data , and p ressures of
strongly held opinions. While we ca nnot com pletely avoid th e resulting
difficulties, it m ay help to specify the ch arac teristic s of the size-of-
income distributions that we want to examine and the movements of
which we want to explain.
Five specifications may be listed. First, the units for which incomes
are recorded and grouped should be family-expenditure units, properly
adju sted for th e num ber of persons in each-rather tha n incom e re-
cipients for whom the relations between receipt and use of income can
be widely diverse. Second, the distribution should be complete, i.e.
should cover all units in a country rather than a segment either at the
upper or lower tail. Third, if possible we should segregate the units
whose main income earn ers are either still in the lea rning or alrea dy in
the retired stages of the ir life cycle-to avoid com plicating the pic tu re
by including incomes not associated w ith full-time, full-fledged parti cipa -
tion in economic activity. F ou rth , income should be defined a s it is now
for national income in this country, i.e. received by individuals, in-
cluding income in kind, be fore an d af te r direct taxes, excluding cap ital
gains. Fifth, the units should be grouped by secular levels of income,
free of cyclical and other transient disturbances.
Fo r such a distribution of m atur e expen diture units by s ecular levels
Presidential address delivered a t the Sixty-seventh An nual Meeting of the American
Economic Association, Detroit, Michigan, December 29,
1954.
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THE
AMERICAN ECONOMIC REVIEW
of income per cap ita, we should m easure sha res of some fixed ordinal
groups-percentiles, deciles, quintiles , etc. I n the und erlying ar ra y th e
units sho uld be classified by averag e income levels for a sufficiently long
span so tha t they form income-status groups-say a generation or
about 25 years. Within such a period, even when classified by secular
income levels, units m ay shift from one ordinal group to another. I t
would, therefore, be necessary and useful to study separately the rela-
tive sha re of u nits th at , throug hou t th e gene ration period of refere nce,
were continuo usly within a specific ordinal g roup, and th e sha re of the
units that moved into that specific group; and this should be done for
the shares of residents and n~ igra nts within all ordinal groups.
Without such a long period of reference and the resulting separation
between resident an d migrant units a t different relative income
levels, the very distinctio n between low an d high income classes
loses its meaning, parti cul arly in a stu dy of long -term changes in shares
and in inequalities in the distribution. To say, for example, that the
lower income classes gained or lost during the last twenty ye ars in
th at the ir share of t ota l income increased or decreased has meaning only
if the un its hav e been classified as members of the lower classes
throughout those
2
years-and for those who have moved int o or ou t
of those classes recently such a s tate m ent ha s no significance.
Furth erm ore, if one ma y ad d a final touch to wh at is beginning to
look like a sta tistical economist's pipe drea m, we should be able to trac e
secular income levels not only through a single generation but at least
throug h two-connecting th e incomes of a given genera tion with those
of its immediate descendants. We could then distinguish units that.
throughout a given generation, remain within one ordinal group and
whose children-through their generation-are also within th at group ,
from units that remain within a group through their generation but
whose children move up or down on the relative economic scale in their
time. Th e numb er of possible combinations an d perm utation s becomes
large; bu t it should not obscure th e main design of the income structu re
called for-the classification by long-term incom e st at us of a given
generation an d of it s im me diate descen dants. If living members of
society-as produ cers, consu me rs, savers, decision-makers on secular
problems-react to long-term changes in income levels an d sha res, da ta
on such a n income struc ture a re essential. An economic society can then
be judged by t he secular level of the income shar e tha t it provides for
a given generation and for its children. T h e im portan t corollary is that
the stud y of long-term ch anges in th e income distribution m ust d istin-
guish between changes in the sha res of resid ent groups-resident within
either one or two generations-and changes in th e incom e share s of
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UZNETS: ECONOMIC GROWTH ND INCOME
INEQUALITY
groups that, judged by their secular levels, migrate upward or down-
ward on the income scale.
Eve n if we had d ata to approxim ate the income structu re just o ut-
lined, the broad question posed a t the start-how income ineq uality
changes in th e process of a cou ntry s economic growth-could be
answered only for grow th unde r defined economic and social conditions.
And, in fact , we shall deal with this qu estion in terms of the ex perience
of the now developed countries which grew under the aegis of the busi-
ness enterprise. But even with this limitation, there are no statistics
that can be used directly for the purpose of measuring the
secular
income stru cture . Ind eed , have difficulty in visualizing how such
info rm atio n could practicably be collected-a difhculty th at m ay be
du e to lack of familiarity with th e studie s of our colleagues in de-
mography and sociology who have concerned themselves with prob-
lems of generation or intergeneration mobility and status. But although
we now lack data directly relevant to the secular income structure,
the se tting up of reasona bly clear an d ye t difficult specifications is
not merely an exercise in perfectionism. For if these specifications do
approximate, an d trus t that they do, the real core of our interest when
we talk ab ou t shares of economic classes or long-term changes in these
shares, then prop er disclosure of our meaning a nd intentions is vitally
useful. I t forces us to examine and evaluate cri tically the data tha t are
available; it prevents us from jumping to conclusions based on these
inadequate data; it reduces the loss and waste of time involved in
mechanical manipulations of the type represented by Pareto-curve-
fitting to groups of da ta whose meaning , in term s of income concep t,
un it of observ ation, an d proportion of th e tota l universe cove red, re-
mains distressingly vague; and most important of all, it propels us
toward a deliberate construction of testable bridges between the avail-
able data a nd the income struckure that is the real focus of our interest.
I
Trends n Income Inequal i ty
Forewarned of the difficulties, we turn now to the available data.
These data, even when relating to complete populations, invariably
classify units by income for a given year. From our standpoint, this is
their major limitation. Because the data often do not permit many
size-groupings, and because the dilference between annual income
incidence and longer-term incom e stat us has less effect if the n um ber of
classes is small a nd th e limits of each class ar e wide, we use a few wide
classes. T hi s does not resolve the difficulty; an d the re a re others d ue to
the scantines s of da ta for long periods, inade quacy of th e unit used-
which is, a t best, a fam ily and very often
a
reporting unit-errors in th e
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4 THE AMERICAN ECONOMIC REVIEW
data, and so on through a long list. Consequently, the trends in the
income structur e can be discerned b ut dimly, and th e results considered
as preliminary informed guesses.
T he da ta are for the United States, England, and Germany-a scan t
sample, but at least a starting point for some inferences concerning
long-term changes in the presently developed countries. The general
conclusion suggested is tha t the relative distribution of income, as
measured by annual income incidence in rather broad classes, has been
moving tow ard equality-with these tren ds particularly noticeable
since the 1920's but beginning perhaps in the period before the first
world war.
Let me cite some figures, all for income before direct taxes, in sup-
port of this impression. I n the Un ited States, in the distribu tion of in-
come among families (excluding single individu als), th e shares of th e
two lowest quintiles rise from 13 per cent in 1929 to 18 per cent in the
years af ter the second world war (av era ge of 1944, 1946, 1947, an d
1950) whereas th e sha re of the to p quintile declines from 55 to 44 per
cent, and tha t of the top 5 per cent f rom 31 to 20 per cent. I n the
Un ited Kingdom , the sha re of the to p 5 per c ent of u nits declines from
46 per cen t in 1880 to 43 per cent in 1910 or 1913, to 33 per cent in
1929, to 31 per cent in 1938, and to 24 per cent in 1947; t he sh are of
the lower 85 per cent remains fairly constant between 1880 and 1913,
between 41 an d 43 per cent, bu t then rises to 46 per cent in 1929 and
55 per cent in 1947. In Prussia income inequality increases slightly
between 18 75 and 1913-the shares of th e to p quintile rising from 48
to 50 per cent, of the top 5 per cent from 26 to 30 per cen t; the share
of the lower 60 per cent, however, remains abou t the same. I n Saxony,
the change between 1880 an d 1913 is minor: the sh are of the two
lowest quintiles declines from 15 to 14 per cen t; th at of the third
quintile rises from 12 to 13 per cen t, o f- he fo urth quintile from 16
to abou t 18 per cen t; tha t of the top quintile declines from 56 to
54 per cent, an d of th e top 5 per cent fro m 34 to 33 per cent. I n
Germany as a whole, relative income inequality drops fairly sharply
from 1913 to the 192 03, app arently du e to decimation of large for-
tunes and property incomes during the war and inflation; but then
begins to re turn to prew ar levels dur ing th e depression of the 1930's.'
'The following sources were used in calculating the figures cited:
United States. For recent years we used Income Dis tr ibution b y Size 1944 1950 (Wash-
ington, 1953) and Selma Goldsmith and others, Size Distribution of Income Since the
Mid-Thirties,
ev Econ. Stat .
Feb. 1954, XXXVI, 1-32; for 1929, the Brookings Institu-
tion data as adjusted in Simon Kuznets,
Shares of Upper Groups in Income and Savings
(New York, 1953),
p.
220.
United Kingdom.
For 1938 and 1947 Dudley Seen, The
Levelling of Income Since
1038
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UZNETS: ECONOMIC GROWTH AND INCO ME INEQUALITY
Even for what they a re assumed to represent, let alone as approxima-
tions to shares in distributions by secular income levels, the data are
such that differences of two or three percentage points cannot be as-
signed significance. One must judge by the general weight and consen-
sus of the evidence-which un for tun ate ly is limited to a few cou ntries.
I t justifies a ten tative impression of constancy in th e relative distribu-
tion of income before taxes , followed by so me narrow ing of relative
income inequ ality af ter the first world war-or earlier.
Three aspects of this finding should be stressed. First, the data are
for income before direct taxes and exclude contributions by govern-
ment e.g., relief and free assistance). I t is fair to argue that both th e
proportion an d progressivity of direct taxes and th e proportion of total
income of individuals accounted for by government assistance to the
less privileged economic groups have grown during recent decades. This
is certainly true of the United States and the United Kingdom, but in
the case of Germ any is subject to furth er examination. I t follows th at
the distribution of income after direct taxes an d including free contribu-
tions by government would show an even greater narrowing of in-
equality in developed countries with size distributions of pretax, ex-
government-benefits income similar to those for the United States and
the United Kingdom.
Second, such stab ility or reduction in the inequality of the percen tage
shares was accompanied by significant rises in real income per capita.
T h e countries now classified as developed h ave enjoyed rising per
capita incomes except during catastrophic periods such as years of
active world conflict. Hence, if the shares of groups classified by their
annual income position can be viewed as approximations to shares of
groups classified by their secular income levels, a constant percentage
share of a given group means that its per capita real income is rising
at the same rate as the average for all units in the country; and a re-
duction in inequality of the shares means that the per capita income
of the lower-income groups is rising a t a more rapid ra te tha n the per
capita income of the upper-income groups.
T he third point can be put in the form of a question. Do th e distribu-
(Oxford, 1951) p. 39; for 1929, Colin Clark, National Income and Outlay (Lond on, 1937)
Table 47, p 109; for 1880, 1910, and 1913,
A.
Bowley, The Change in the Distribution of
the National Income
1880 1913
(Oxford, 1920).
Germany. For the const i tuent areas (Prussia, Saxony and others) for years before the
first world war, based on S. Prokopovich,
iVational Income of We ste rn Europea n Co untries
(published in M oscow in the 1920's). Some summa ry results are given in Prokopo vich,
The Distribution of National Income,
Econ. Jour.
March 1926, XXXVI 69-82. See also,
Das Deutsche Volkseinkommen vor und nach dem Kriege, Einzelschrift zur Stat. des
Deutschen Reichs no. 24 (B erlin, 193 2), an d
W.
S and
E
S. Woytinsky, WorId Popula-
tion and Production (New York, 1953) Table 192, p.
709
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6 T H E AMERICAN ECONOMIC REVIEW
tions by annual incomes properly reflect trends in distribution by
secular incomes? As technology and economic performance rise to
higher levels incomes are less subject to transien t disturbances not
necessarily of the cyclical order th at ca n be recognized a nd allowed
for by reference to business cycle chronology bu t of a m ore irregular
type. f in the earlier years the economic fortunes of units were sub-
ject to greater vicissitudes-poor crops for some farm ers na tur al
calam ity losses for some non farm business units-if the over-all pro por -
tion of individual entr epr ene urs whose incomes were subject to such
calamities more yesterday but some even today was larger in earlier
decades these earlier distributions of income would be more affected
by transient disturbances. I n these earlier distributions th e temporarily
unfortunate might crowd the lower quintiles and depress their shares
unduly and the temporarily fortunate might dominate the top quintile
and raise its share unduly-proportionately more than in th e distribu-
tions for later years. f so distributions by longer-term average in-
comes might show less reduction in inequality th an do the distribution s
by annual incomes; they might even show an opposite trend.
One may doubt whether this qualification would upset a narrowing
of inequality as marked as tha t for the United States and in as short
a period as twenty-five years. Nor is it likely to affect the persistent
downw ard drif t in th e spread of the distributions in the Un ited King-
dom. B ut m ust adm it a stro ng element of judgment in deciding how
f a r this qualification modifies the finding of long-term stab ility followed
by reduction in income inequality in the few developed countries for
which it is observed or is likely to be revealed by existing data. The
imp ortant point is tha t the qualification is relevan t; it suggests need for
furt her study if we are to learn much from the available dat a con-
cerning the secular income structure; and such study is likely to yield
results of interest in themselves in their bearing upon the problem
of trend s in temporal in stability of income flows to individual unit s
or to econom ically significant groups of units in different sectors of
the national economy.
11 n ttempt at Explanation
f
the above summ ary of trends in the secular income struc ture of
developed c o ~ ~ n tr i e somes perilously close to pure guesswork a n
attempt to explain these dimly discernible trends may surely seem
foolhardy. Yet it is necessary to do so if only to bring to th e sur fac e
some factors that m ay have been a t play; induce a search fo r data
bearing upon these factors; and thu s confirm or revise our impressions
of the trends themselves. Such preliminary speculations a re useful
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UZNETS: EC ONOMIC GR OW TH AND INC OM E INEQUALITY
provided it is recognized that we are at a relatively early stage in a
long process of interpla y am ong tenta tive summ aries of evidence,
preliminary hypotheses, and search for additional evidence that might
lead to reform ulation an d revisions-as bases for new analy sis an d
further search.
The present instalment of initial speculation may be introduced by
saying th at a long-term constancy , let alone reduction, of inequality in
the secular income structure is
puzzle. F or there ar e a t least two
groups of forces in the long-term opera tion of developed countries th at
make for
incre sing
inequality in the distribution of income before
taxes and excluding contributions by governments. The first group
relates to the concentration of savings in the upper-income brackets.
According to all recen t studies of t he app ortionm ent of income between
consumption and savings, only the upper-income groups save;
the
total savings of groups below the top decile ar e fair ly close to zero. F or
example, the top
5
per cent of units in the United States appear to
account for alm ost two-thirds of individuals7 savings; an d the top
decile comes close to acco unting for all of it. Wh at is pa rticu larly im-
porta nt is tha t the inequality in distribution of savings is grea ter tha n
th at in the distribution of pro pe rty incom es, an d hence of assets.
Granted t ha t this finding is based on distribution of ann ual income,
and that a distribution by secular levels would show less inequality in
income and correspondingly less conc entration of savings, the in-
equality in savings would still remain fair ly sha rp, perhaps more so
than in holdings of assets. Other conditions being equal, the cumulative
effect of such ine qua lity in savings would be the con centratio n of a n
incre sing
prop ortion of incom e-yielding assets in the han ds of the
upp er groups-a basis fo r larger income share s of these gro cp s an d
their descendants.
Th e second source of the puzzle lies in th e indu strial struc tur e of
the income distribution. An invariable accompaniment of growth in
developed co untries is the sh ift aw ay f ro m agriculture, a process usu-
ally referred to s industrialization and urbanization. The income dis-
tribution of the total po pulation, in th e simplest model, m ay th erefo re
be viewed as a combination of the income distributions of the rural
an d of th e urba n populations. Wh at little we know of the structures
of these two comp onent income distributions reveals tha t: ( a ) th e
average per cap ita income of the rur al population is usually lower tha n
that of the urban ; ( b ) inequality in the percentage shares within the
See Kuznets,
op cit.
particularly Chapters
2
and
6.
Th e lower level of per capita incom e of the agricultural or rural population compared
with th at of ur ban is fairly ulell established, fo r this country by states, and for m any
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T H E MERIC N ECONOMIC REVIEW
distribution for the rural population is somewhat narrower than in
that for the urban po pu lat ion -ev en when based on annual income; and
this difference would probably be wider for distributions by secular
income
le v e k 4 Operating with th is simple m odel, wh at conclusions do
we reach? First, all other conditions being equal, the increasing weight
of urba n population means a n increasing share for the more unequ al of
the two component distributions. Second, the relative difference in per
capita income between the rural and urban populations does not
necessarily drif t dow nward in the process of economic growth: indeed,
there is some evidence to suggest that it is stable at best, and tends to
widen because per cap ita productivity in urb an pu rsuits increases more
rapidly than in agriculture. f this is so, inequality in the total in-
come distribution should increase.
Two questions then arise: First, why does the share of the top-
income groups show no rise over time if the concentration of savings
has a cumulative eff ec t? Second, why does income inequ ality decline
an d particularly why does the sh are of the lower-income groups rise if
both th e weight of the more unequal urb an income distribution a nd the
relative difference between per capita urban and per capita rural in-
comes increase?
The first question has been discussed elsewhere, although the re-
sults are still preliminary hypotheses,' an d it w ould be impossible to
do more here th an summarize the m briefly.
Factors C ounteracting th e Concen tration of
aving
One group of factors co unte racting the cum ulative effect of con-
other countries (see,
e.g.
a summary table of closely related measures of product and
workers engaged, for var ious divisions of the productive system , in Colin Clark,
Conditions
of Economic Progress 2nd ed. [Lon don 19511, pp. 316-18). T he same table suggests, for
the countries with sufficiently long records, a stable or increasing relative difference between
per-worker product in agriculture and per-worker product in other sectors of the economy.
'This i s
true of the U.
S
distributions prior to the second world war (see sources cited
in footnote 1 ) in the years after the second world w ar th e difference seems to have disap-
peared. It is true of the distributions for Prussia, ci ted b y Prokopo vich; and most conspicu-
ous for India today as shown in the rough distributions by
M .
Mukherjee and A. K. Ghosh
in The P attern of Income and Expenditures in the India n Union:
A
Tentative Study,
International Statistical Conferences December 1951, Calcutta, India, Part 111, pp. 49-68.
ome elements of the discussion appeared in Prop ortion of Cap ital Fo rm atio n to Na -
tional Product, a pape r submitted to th e ann ua l meeting of the American Econom ic Associ-
ation in 1951 and published in Am Econ. Rev. Proceedings, M ay 1952, X L II , 507-26. A
more elaborate statement is presented in International Differences in Capital Form ation
and Financing (particu larly Appendix C, Levels an d Tr end s in Inco me Shar es of Upper
Income Groups), a paper submitted to a Conference
on
Capital Formation and Economic
Growth held
in
1953 under the auspices
of
the Universities-National Bureau Committec
for Economic Research.
t
is now in
press
as pa rt of the volume of proceedings of th at
conference.
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UZNETS: ECONOMIC GROWTH AND INCOME INEQUALITY
centration of savings upon upper-income shares is legislative interfer-
ence an d political decisions. The se m ay be aimed at limiting th e
cumulation of property directly through inheritance taxes and other
explicit capital levies. They may produce similar effects indirectly,
e.g.
by government-permitted or -induced inflation which reduces the
economic value of accumulated wealth stored in fixed-price securities
or other properties not fully responsive to price changes; or by legal
restriction of the
yie d
on accumu lated property, a s happened recently
in th e form of re nt co ntrols or of artificially low long-term in terest rat es
maintained by the government to protect the m arke t for its own bonds.
To discuss this complex of processes is beyond the competence of
this paper, but its existence and possible wide effect should be noted
and one point emphasized. All these interventions, even when not
directly aimed a t limiting the effects of accum ulation of pa st savings
in the ha nd s of the few, do reflect the view of society on th e long-term
utility of wide income inequalities. Th is view is a vita l force th at w ould
ope rate in democratic societies even if the re were no o ther cou nterac t-
ing factors. This should be borne in mind in connection with
changes
in
this view even in developed countries, which result from the process of
growth and constitute
a
re-evaluation of the need for income in-
equalities as a source of savings for economic growth. T h e result o f
such changes would be a n increas ing press ure of legal an d political
decisions on upper-income shares-increasing as a co un try mov es to
higher economic levels.
We tur n to three othe r, less obvious grou ps of factors cou nterva iling
the cum ulative effects of con cen tration of savings. T h e first is demo-
graphic. I n the presen tly developed countries there have been dif-
ferential rate s of increase between the rich an d the poor-family con-
trol having first spread to the former. Hence, even disregarding mi-
gration, one can argue th at the top
5
per cen t of 1870 an d its descend-
ants would account for
a
significantly smaller percen tage of th e popu-
lation in 1920. This is even more likely in a country like the United
States with its su bsta ntia l immigration-usually enterin g the income
distribution at the lower-income levels; and may be less likely in a
country fro m which the poor have emigrated. T h e top 5 per cent of
population in 1920 is, therefo re, comprised only par tly of the de-
scendants of the top
5 per cent of 1870; perhaps half or a larger
fraction must have originated in the lower-income brac ke ts of 1870.
T hi s means th at th e period durin g which effects of con centra tion of
savings can be assumed to have cumulated to raise the income share
of an y given fixed ordinal group (whether i t be the top 1 5, or 10 per
cent of the population) is much shorter than the fifty years in the
span ; and hence these effects are much w eaker than they would have
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1 T H E AMERIC AN EC ONOMIC R EVIEW
been if the top 5 per cent of
187
had, through their descendants, filled
completely the ra nk s of the top
5
per c ent of th e populatio n of 1920
Although t he c um ulative effect of savings m ay be to raise th e relative
income of a progressively diminishing top proportion of total popula-
tion, the ir effect on th e relative sha re of a
fixe
top prop ortion of th e
population is much reduced.
T h e second group of forces resides in the very na tu re of a dy nam ic
economy with relative freedom of individual opportunity. I n such a
society technological change is rampant and property assets that
originated in older industries almost inevitably have a diminishing
proportional w eight in the tota l because of th e more rapid growth of
younge r indu stries. Unless the descen dan ts of a high-income gro up
manage to shift their accumulating assets into new fields and partici-
pate with new entreprene urs in th e growing sh are of the new and more
profitable industries, the long-range returns on their property holdings
ar e likely to be significantly lower tha n those of the mo re recent
en tran ts into th e class of s ubs tantia l asset holders. Fro m shirt-sleeves
to shirt-sleeves in three generations prob ably exaggerates the effects
of this dynamism of a growing economy: there a re, among th e upper-
income groups of today, m any descendan ts of the upper-income group s
of more than three or even four generations ago. But the adage is
realistic in the sense tha t a long unbroke n sequence of connection with
rising ind ustries and hence with m ajor sources of continued larg e
property incomes is exceedingly rare; that the successful great entre-
preneurs of tod ay ar e rarely sons of th e grea t and successful entre pre-
neurs of yesterday.
The third group of factors is suggested by the importance, even in
the upper-income brac kets, of service income. At an y given time, only
a
limited pa rt of th e income differe ntial of a top group is accounted for
by the concentration of property yields: much of it comes from the
high level of service income (professional and entre pren euria l earnings
and the like) . T h e secular r ise in the upper incomes due to this source is
likely to be less m arke d th an in th e service incomes of lower b rack ets,
an d for two som ewh at differen t reasons. Fi rst, in so far a s high levels
of service incomes of given upp er u nits a re du e to individ ual excellence
(as is t rue of m any profess ional and entrepreneur ia l pursuits) , there
is much less incentive for an d possibility of keeping such incomes a t
con tinue d high relat ive levels. H en ce, th e service incom es of the de-
scendants of an
initially high
level unit are not likely to show as strong
an upward trend as the incomes for the large body of population
a t
lower-income levels. Second, a su bst an tia l p ar t of t he rising trend in
per capita income is due to interindustry shift, i.e.
a shift of workers
from lower-income to higher-income industries. T h e possibilities of rise
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E C O N O M I C G R O W T H
A N D
I N C O M E I N EQ U A LI TY
due to such interin dus try sh ifts in the service incomes of the initially
high-income groups a re much m ore limited than fo r the population a s a
whole: they are already in high-income occupations and industries and
the range for them toward higher paid occupations is more narrowly
circumscribed.
Th es e three g roups of facto rs, even disregarding such legislative and
political intervention as is indicated ab ove, are all characteristics of a
dynamic growing economy. T h e differentials in rat e of na tur al increase
between th e upper- an d the lower-income groups ar e true only of a
rapid ly growing population-with or with out immigration-but ac-
companied by declining death rates and declining birth rates, a demo-
graphic pattern associated in the past only with the growing Western
economies. T h e imp act of new indu stries o n obsolescence of a lre ad y
established wealth a s a source of p rope rty income is clearly a function
of ra pid grow th, an d the more rapid th e growth the greate r the impact
will be. T h e effect of i nte rind us try s hifts on the rise of p er c apita
income , pa rtic ula rly of lower-incom e grou ps, is also a fu nction of
growth since only in a growing economy is there much shift in the
relative importanc e of the several industr ial sectors. One can then s ay ,
in general, that the basic factor militating against the rise in upper-
income shares that would be produced by the cumulative effects of
conc entra tion of savin gs, is the dyn am ism of a growing an d free
economic society.
Yet while the discussion answers the original question, it yields
no determinate answer as to whether the trend in income shares of
upper groups is upward, downward, or constant. Even for the specific
question discussed. a determinate answer depends upon the relative
ba lance of factors-continuous con centra tion of savings mak ing for
an increasing share, and the offsetting forces tending to cancel this
effect. T o tell wh at the tr end of upper-income shares is likely to be , me
need to know much m ore ab ou t the weights of these conflicting pres-
sures. Moreover. the discussion has brought to th e surface fa ctors tha t,
in an d of themselves, m ay cause either an upward o r a downward trend
in the sha re of u pper-income group s and hence in income inequality-
in distributions of ann ual or o f secular income. Fo r example, the new
en tra nts into the uppe r groups-the upw ard migrants -who rise
either because of esceptional ability or attach me nt to new industries or
for a varie ty of other reasons-may be enter ing th e fixed uppe r grou p
of say the top per cen t with an income differential-either ann ual or
long-term-that ma y be relatively grea ter than tha t of en tra nts in the
preceding generation. Nothing in the argument so far excludes this
possibility-which would mean a rise in the sh are of upper-income
groups, even if the share of the old resident pa rt remains con stan t or
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THE
AMERICAN ECONOMIC REVIEW
even declines. Even disregarding other factors th at w ill be noted in the
next section, no firm conclusion as to tre nds of upper-income sha res
can be derived from the bare model discussed. Search for further data
might yield evidence that would permit a reasonably rough but deter-
minate conclusion; but I have no such evidence a t hand.
T h e Sh ift from gricultural to Nonagricultural Sectors
What about the trend toward greater inequality due to the shift
from the agricu ltural to the nonag ricultural sectors? In view of the im-
por tance of industrialization a nd urbanization in the process of eco-
nomic growth, their implications for trends in the income distribution
should be explored-even though we have neither the necessary data
nor a reasonably complete theoretical model.
T h e implications can be brough t out m ost clearly with th e help of a
numerical illustration (see Table I). In this illustration we deal with
two sectors: agriculture (A) and all others (B). For each sector we
assum e percentage d istribu tions of tota l sector income among sector
deciles: one distribution E) is of mo dera te inequality, with the share s
sta rtin g a t 5.5 p er ce nt for th e lowest decile and rising 1 percentage
point from decile to decile to reach 14.5 per cent for the top decile; the
other distribution
( U )
is much more unequal, the shares starting at 1
per c ent fo r th e lowest decile, and rising 2 percentage po ints from decile
to decile to reach 19 per cent for the top decile. We assign per capita
incomes to each sector: 50 units to A an d 100 units to B in case I (lines
1-10 in the illustration) 50 to and 200 to B in case
I1
(lines 11-20).
Finally, we allow the proportion of the num bers in sector A in the total
number to decline from 0.8 to 0.2.
T h e numerical illustration is only a pa rtial sum mary of the calcula-
tions, showing the sh ares of the lowest and highest quintiles in th e in-
come distribution for the total population under different
assumption^.^
The basic assumptions used throughout are that the per capita income
of sector
B
(nonag ricultural) is always higher than th at of sector A;
that the proportion of sector
A
in the total number declines; and that
the inequality of the income distribution within sector A m ay be as
wide as that within sector B but not wider. With the assumptions con-
The underlying calculations are quite simple. F or each case we distinguish
20
cells within
the total distribution-sets of ten deciles fo r each sector. Fo r each cell we comp ute th e
percentage shares of both number and income
in
the number and income of total popula-
tion, and hence also the relative per capita income of each cell. The cells are then arrayed
in increasing order of their relative p er capita income an d cumulated. I n the resulting
cumulative distributions of number and countrywide income we establish, by arithmetic
interpolation, if interpolation
is
needed, the percentage shares in total income of the
successive quintiles of the country s population.
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3
Proportion of Number in Sector
A
to Total Number
0 . 8 0 .7
0 . 6
0 . 5
0 . 4
( 1 ) ( 2 ) ( 3 ) ( 4 )
( 5 )
? ?
??
I Pe r Capita Income of Sector A = 5 0 ;
of S ecto r B
100
1.
Pe r capita income of tota l pop-
ulation
60
65
i 0 75 80 85
90
Distribution ( E ) for Both Sec-
tors
2.
Sh ar e of
1st
quintile
10.5 9 .9 9 . 6
9 .3 9 . 4
9 . 8
10.2
3 .
Shar e of 5 th quintile
34.2
35.8
35.7 34.7
3 3 .2 3 1 .9
30 .4
4 . Range (3 -2 )
23.7
25.9
26 .1
25.3 23 .9 2 2 .1
20.2
Distribution ( U ) for Both Sec-
tors
5. Sh are of 1st quintile 3 .8 3 .8
3 .7
3 . 7 3 . 8
3 . 8 3 .9
6 . Share of
5th
quintile
40.7 41.9 42 .9
42 .7
4 1 .5 40 .2
38.7
7 . Range (6-5) 36.8
38.1 39 .1
39.0
3 7 .8 36.4
3 4 .8
Distribution
( E )
for Sector
A ,
( U )
for Sector B
8. Sh are of 1st qu intil e 9 . 3
8 .3 7 . 4 6 .7
6 .0
5 .4 4 .9
9 . Sh are of 5 th quintile
37.7 4 1 .0
42 .9
42.7 41.5 40.2
38.7
10.
Range
(9-8) 28.3
3 2 .7 3 5 .4
36 .0
35.5
34 .8
3 3 .8
11 Pe r Capita Income of Sector A=50;
of S ecto r B 200
11.
Per ca pita income of to tal pop-
ulation
80 95
110
125 140
155
170
Distribution ( E ) for Both Sec-
tors
12. Sh are of 1st quintile
7 . 9
6 . 8 6 .1
5 .6
5 .4
5 .4 5 .9
13. Sh are of 5 th quintile
50.0
49.1 45.5
41.6
3 8 .0
35 .0
3 2 .2
14.
Range
(13-12) 4 2 .1 4 2 .3 3 9 .4 36.0 32 .6 29.6 26.3
Distribution
( U )
for Both Sec-
tors
15. Sh are of 1st quintile
3 . 1 2 .9
2 .7 2 .6
2 .6
2.7
3 . 1
16. Share of
5th
quintile
52.7
56 .0 54 .5
51.2
47 .4 44.1
40.9
17. Range (16-15)
49 .6 5 3 .1
51 .8 48.6
44.8 4 1 .4
37.9
Distribution E) for Sector
A ,
( U )
for Sector B
18. Sh are of 1st qui ntile
7 . 4
6 .2
5 .4 4.7
4 . 2
3 . 9
3 .8
19.
Share of 5 th quintile
51.6
56.0 54.6
51.2
47 .4
44.1 4 0 .9
20.
Range
(19-18)
44.2 49.8
49.2
4 6 .5 43.2 4 0 .2
37.2
For m ethods of ca lculating the shares
of quintiles, see text p.
12and fn.
6 .
Some
differences
will not check because of rounding.
cerning th ree sets of factors-intersector differences in pe r ca pit a in-
come, intrasecto r distributio ns, an d sector weights-varying within the
limitations just indicated , the following conclusions ar e suggested :
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T H E A M E R IC A N E C O N O M IC R E V I EW
Fir st, if th e per ca pita incom e differential incre ases, or if t h e income
distribution is more unequa l for sector B tha n for sector A, or if both
conditions ar e prese nt, t he rise over time in the relative weight of secto r
B causes a marked increase in inequality in the countrywide income
distribution. W e have her e a d em onstration of the effects upon tre nds
in income inequality of interin dus try sh ifts aw ay from agriculture dis-
cussed above pp . 7-8).
Second, if the intrasector inconie distribution is the same for both
sectors, an d th e widening inequality in the coun trywide income distribu-
tion is due only to th e increa sing per capita income differential in favor
of sector B, such widening is greater when the intrasector income dis-
tributions are characterized by moderate rather than wide inequali ty.
Th us, if the intrase ctor distributions a re of the
E
type, the range in th e
cou ntryw ide distribution w idens from 23.7 to 26.3 as prop ortion of A
dro ps from 0.8 to 0.2 and a s th e ratio of per ca pita income of sec tor
B
to th at of sector A changes from 2 to 4 see line 4, col. 1, an d line 14,
col.
7 ) .
If the distributions ar e used, the range, under identical con-
ditions, widens only from 36.8 to 37.9 see line 7, col.
1,
and line 17,
col. 7). This difference is revealed more clearly by the change in the
sh are of the 1s t quintile, which bears th e br un t of widening ineq uality:
for the E distribution, the share drop s from 10.5 line 2 , col. 1) to 5.9
line 12, col. 7) for the distribution, from 3.8 line 5, col.
1
to 3.1
line 15, col. 7).
Th ird , if the per cap ita income differen tial between sectors is con-
sta nt, bu t th e intrasector distribution of B is mo re unequal th an th at of
A, the widening inequality in the countrywide distribution is the
greater, the lower the assumed per capita income differential. Thus for
a differential of 2 to 1 , the ra nge widens from 28.3 when t he prop ortion
of A is 0.8 line 10 , col. 1 ) to 36.0 a t the pea k when th e prop ortion of
A
is 0.5 line 1 0, col. 4 ) a nd is still 33.8 when th e prop ortion of A drop s
to 0.2 line 1 0, col. 7 ). F or a per c ap ita incom e differential of 4 to 1, th e
widening of th e rang e a t the maxim um is only fro m 44.2 line 20, col.
1 ) to 49.8 line 20, col. 2 an d then the range declines to 37.2 line 20,
col. 7 ) , well below th e initial level.
Fo urth , th e assu mp tions utilized in the num erical illustration-of a
rise in prop ortion s of to ta l num ber in section B ,
of g rea ter inequ ality
in the distribu tion w ithin sector B , and of the growing excess of per
ca pita income in B over tha t in A-yield a decline in th e sh ar e of th e 1s t
quintile th at is much m ore conspicuous than the rise in the sha re of the
th
quintile. Th us th e shar e of the 1st quintile, with the proportion of A
at 0.8, distribution in B illore unequal than in A, and a per capita in-
come differential of 2 to 1, is
9.3
line 8, col. 1 ) . As we shift to a pro-
portion of A o f 0.2, and a per cap ita income differential of 4 to 1, the
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KUZNETS: ECONOMIC
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5
share of the 1st quintile drops to 3.8 l ine 18, col. 7). Under the same
conditions, the share of the 5th qu intil e changes from 37.7 line 9, col.
1 to 40.9 line 19, col. 7 ).
F if th , even if the differential in per cap ita income between th e two
sectors remains constant and the intrasector distributions are identical
for the two sectors, the mere shift in the proportions of numbers pro-
duces slight but significant changes in the distribution for the country
as a whole. In general, as the proportion of A drifts from 0.8 down-
wards, the rang e tends first to widen an d then to diminish. W hen the per
capita income differential is low 2 to l ) , the widening of the range
reaches a peak close to middle of the series, i.e. a t a proportion o f
A
equal to 0.6 lines 4 an d 7) an d the movemeilts in the range tend to be
rather limited. When the per capita income differential is large 4 to I ) ,
the range contracts as soon as the proportion of A passes the level of
0.7,
and the decline in the range is quite substantial l ines 14 and 17 ).
Sixth, of pa rticu lar bea ring upon th e share s of up per-income grou ps
is the finding th at the sha re of t he top qu intile declines as the propo r-
tion of A falls below a certa in, rathe r high fraction of tota l num bers.
Th ere is not a single case in th e illustration in which the share of the
5th quintile fails to decline, either throughout or through a substantial
segmen t of the sequence in the down ward movem ent of th e prop ortion
of A from 0.8 to 0.2. In l ines 6 and 9, th e share of the 5 th quin tile de-
clines beyond the point at which the proportion of A is 0.6; and in all
other relevant lines the downward tren d in the share of the 5th qu intile
sets in earlier. Th e reason lies, of course, in the fact th at with increasing
indus trialization, the growing weight of the nona gricultu ral sector,
with its higher per capita income, raises the per capita income for the
whole economy; and yet per capita income within each sector and the
intrasector distributions are kept constant. Under such conditions, the
upper share s would fail to decline only if there were either a grea ter
rise in per ca pita incom e of s ector B th an in tha t of sector A or increas-
ing inequality in the intrasector distribution of sector
B.
Several other conjectural conclusions could be drawn with ad ditional
variation s in assum ptions , an d multiplication of s ectors beyond th e
two distinguished in the numerical illustration. But even in the simple
inodel illustrated the variety of possible patterns is impressive; and
one is forced to the view that much more empirical information is
needed to perm it a prop er choice of specific assump tions an d con stants.
Granted that several of the conclusions could be generalized in formal
mathem atical terms, u seful inference s would b e within our reach only if
we knew more abo ut t he specific sector distributions a nd th e levels an d
trends in per cap ita income differentials amon g the sectors.
If then we limit ourselves to what is known or can be plausibly as-
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6 T H E A ME RICA N E CO N O MI C RE V IE W
sumed, the following inferences can be suggested. We know that per
capita income is greater in sector B than in sector A; tha t, a t best , the
per capita income differential between se ctors A an d
B
has been fairly
constant e.g., in the United States) and has perhaps more often in-
creased; th at th e proportion of sector A in tota l num bers has dimin-
ished. The n, if we sta rt with intrase ctor distribution of B m ore unequal
than for A we would expect results suggested by either lines 8-10 or
18-20. I n th e former case, the range widens as th e proportion of A dro ps
from 0.8 to 0.5, a nd then narrows. I n th e latter case, the range declines
beyond the point a t which th e proportion of A is 0.7. B ut in both cases,
the sh are of the 1st quintile declines, an d fairly app reciab ly an d con-
tinuously (see l ines an d 18) . T h e magnitude and continuity of the
decline are partly th e result of the specific assump tions mad e; bu t one
would b e justified in arguing th at within the b road limits suggested by
the illustration, the assumption of greater inequality in the intrasector
distribution for sector
B
than for sector A, yields a downward trend
in the share of the lower-income groups. Yet we find no such tren d ir.
the empirical evidence that we have. Can we assume that in the earlier
periods th e intern al distribution for sector B was not more unequa l tha n
for sector A, despite the more recent indications th at u rban income dis-
tribution is more unequal than the rural?
Th ere is, obviously, room fo r conjecture. I t seems most plausible
to assume that in earlier periods of industrialization, even when the
nonag ricultural population w as still relatively sm all in th e total, its in-
come distribution was more unequal tha n tha t of th e agricultur al popu-
lation. This would be particularly so du ring the periods when indu stri-
alization an d urbanization were proceeding ap ace and t he urba n popula-
tion was being swelled, an d fairly rapidly , by immigrants-either fr o m
the country s agricultural areas or from abroad . Under these condi-
tions, the urban population would run the full gamut from low-income
positions of recent ent ran ts to th e economic peak s of the established
top-income groups. T h e urban income inequalit ies might be assumed to
be f a r wider tha n those for t he agricultural population which was or-
ganized in relatively small individual enterprises (large-scale units were
rarer then than now).
If we gran t the assump tion of wider inequality o f distribution in sec-
tor
B,
the shares of th e lower-income brack ets should have shown a
downward trend. Yet the earlier summary of empirical evidence indi-
cates tha t during the last 50 to 75 years there has been no widening in
income inequality in th e developed countries bu t, on the con trary, some
narrowing w ithin the last two to f ou r decades. I t follows th at th e intra-
sector distribution-either for sec tor A or fo r sec tor B-must have
shown sufficient narro wing of inequ ality to offset th e increase called
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7
fo r by the factor s discussed, Specifically, the sh ares of th e lower income
groups in sectors A and/or B must have increased sufficiently to offset
the decline th at would otherwise have been produced by a com bination
of the elem ents shown in the numerical illustration .
This narrowing in inequality, the offsetting rise in the shares of the
lower brackets, most likely occurred in the income distribution for the
urban groups, in sector B. W hile it m ay also have been present in sector
A i t would have had a m ore limited effect on the ineq uality in th e coun-
tryw ide incom e distribu tion because of the ra pidly diminishing weight
of sector
A
in the total. Nor was such a narrowing of income inequ ality
in agriculture likely: with indu strializatio n, a higher level of technology
permitted larger-scale units and, in the United States for example,
sharpened the contrast between the large and successful business
farmers and the subsistence sharecroppers of the South. Furthermore,
since we accept th e assumption of initially narrow er inequ ality in th e
interna l distribution of income in sector A than in sector B, any signifi-
cant reduction in ineq uality in the former is less likely than in t he latter .
He nce we may conc lude th a t the major offset to th e widening of in-
come inequality associated with the shift from agriculture and the
countryside to industry a nd th e city mus t have been a rise in th e income
sh are of th e lower groups within the nonagricultural sector of the
population. This provides a lead for exploration in what seems to me
a most promising direction: consideration of the pace an d chara cter of
the economic growth of t he urb an population, with partic ula r reference
to th e relative position of lower-income groups. Mu ch is to be said for
the notion tha t once the early turb ulen t phases of industrialization an d
urbanization ha d passed, a varie ty of forces converged to bolster the
economic position of the lower-income grou ps within t he ur ba n popula-
tion. The very fact that after a while, an increasing proportion of the
urba n population was native, i.e., born in cities rat he r tha n in the
rural area s, an d hence more able to tak e adva ntag e of the possibilities
of city life in prepara tion for the economic strugg le, meant a be tter
chance for organization and adaptation, a better basis for securing
greater income shares than was possible for the newly immigrant
population coming from the countryside or from abroad. The increas-
ing efficiency of the older, established urban population should also be
taken into account. Furthermore, in democratic societies the growing
political power of the u rb an low er-income group s led to a var ie ty of
protective and supporting legislation, much of it aimed to counteract
the worst eff ec ts of ra pid industrialization and urb aniza tion and to
support the claims of the broa d masses for more a deq uate shares of the
growing income of t he c oun try. Space does not pe rm it t he discussion of
demographic, political, and social considerations that could be brought
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REVIEW
to be ar to explain th e offsets to a ny declines in the sha res of the lower
groups, declines otherwise deducible from the trends suggested in the
numerical illustration.
111
Other Trends Related to Those in nconze nequali ty
One aspect of the conjectural conclusion just reached deserves em-
phasis because of its possible interrelation with other important ele-
ments in th e process a nd the ory of economic growth. T h e sca nty em-
pirical evidence suggests that the narrowing of income inequality in
the developed countries is relatively recent and probably did not char-
acterize the earlier stages of their growth. Likewise, th e various facto rs
tha t have been suggested above would explain stability and narrowing
in income inequality in the later rather than in the earlier phases of
industrialization and urbanization. Indeed, they would suggest widen-
ing inequality in these e arly phases of economic grow th, especially in th e
older countries where the emergence of the new indu strial system had
sha tterin g effects on long-established pre-indu strial economic an d social
institutions. T hi s timing characteristic is particularly applicable to fac-
tors bearing upon the lower-income groups: the dislocating effects of
the agricultural an d industrial revolutions, combined with the swarm-
ing of pop ulation incident upon a rapid decline in dea th rates and the
maintenance or even rise of birth rates, would be unfavorable to the
relative economic position of lower-income groups. Furthermore)
the re ma y also have been a prepo nderan ce in th e earlier periods of fac-
tors favo ring ma intenance or increase in the share s of top-income
group s: in so far as their position was bolstered b y gains arising out of
new industries, by an unusually rapid rate of creation of new fortunes,
we would expect these forces to be relatively stronger in the early
phases of in dustrialization th an in th e later when the pace of ind ustrial
growth slackens.
One might thus assume a long swing in the inequality characterizing
th e secular income str uc tu re: widening in the early phases of economic
growth when the transition from the pre-industrial to the industrial
civilization was most rapid; becoming stabilized for a while; and then
narrowing in the later phases. This long secular swing would be most
pronounced fo r older cou ntries where th e dislocation effects of the
earlier phases of modern economic growth were most conspicuous; but
it might be found also in th e younger countries like the United States,
if the period preceding ma rked in dustrialization could be compared with
the early phases of industrialization, and if the latter could be com-
pared with th e subsequent phases of greater maturity.
f there is some evidence for assuming this long swing in relative
inequality in the distribution of income before direct taxes and exclud-
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KUZNETS: ECONOMIC GROWTH
A N D
INCOME TNEQUhLITY
9
ing free benefits from government, there is surely a stronger case for
assuming a long swing in inequa lity of income net of direct taxes an d
including government benefits. Progressivity of income taxes and, in-
deed, their very im portanc e characterize only the m ore recent phases of
development of the presently developed countries; in narrowing in-
come inequality they must have accentuated the downward phase of
the long swing, contributing to t he reversal of trend in th e secular
widening and n arrowin g of income inequality.
No adequate empirical evidence is available for checking this con-
jecture of a long secular swing in income ine qua lity ; nor can the phases
be dated precisely. Ho wev er, to mak e it m ore specific, I would place the
early phase in which income inequality might have been widening, from
about 1780 to 1850 in England; from about 1840 to 1890, and particu-
larly from 1870 on in the U nited Sta tes; and , from the 1840 s to the
1890 s in Germ any. I would put th e phase of n arrowin g income in-
equality somewhat later in the United States and Germany than in
England-perhaps beginning with th e first world war in th e forme r an d
in the last quarte r of the 19th century in the latter.
I s there a possible relation between this secular swing in income
inequality and the long swing in other im portan t compon ents of the
growth process? For the older countries a long swing is observed in the
ra te of growth of population-the upw ard pha se repre sented by accel-
eration in the rate of growth reflecting the early reduction in the death
rate which was not offset by a decline in the birth rate (and in some
cases was accompanied by a r ise in the birth rate ) and th e downward
phase rep resented b y a shrinkin g in the rat e of growth reflecting th e
more pronounced downward trend in the birth rate. Again, in the older
countries, and also perhaps in the younger, there may have been a
secular swing in th e ra te of urbanization, in the sense tha t th e propor-
tional additions to urban population a nd the m easures of internal mi-
gration that produced this shift of population probably increased for
a while-from the earlier much lower levels; but then tended to diminish
as urban population came to dominate the country and as the rural
reservoirs of migration became proportionally much smaller. For old,
and perhaps fo r young countries also, there m ust have been a secular
swing in the prop ortions of s avings or ca pita l formation to to tal eco-
nomic produc t. Per capita product in pre-industrial times was not large
enough to permit as high a nationwide rat e of saving or capital fo rma-
tion s was attained in the course of industrial development: this is
7Prokopovich s data on Prussia. from t he source cited in footno te 1, indicate a sub-
tantial widening in income inequality in the early period. The share of the lower
9
per
cent of the population declines from 73 per cent in
1854
to 65 per cent in 1875; the share
of the top 5 per cent rises from 2 1 to 25 per cent. But I do not know enough about the
dat a for the early years to eva luate the reliability of the finding.
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THE
AMERICAN ECONOMIC REVIEW
suggested by present comparisons between net capital formation rates
of 3 to 5 per cent of national prod uct in underdeveloped countries and
rates of 10 to 15 per cent in developed countries. If then, at least in the
older coun tries, an d perhap s even in th e younger ones-prior to initia-
tion of the process of mode rn development-we begin with low secular
levels in the savings proportions, there would be a rise in the early
phases to appreciably higher levels. We also know that during recent
periods the net capital formation proportion and even the gross, failed
to rise an d perha ps even declined.
Other trends might be suggested that would possibly trace rong
swings similar to those for inequality in income struc ture , rate of growth
of po pulation, ra te of urban ization an d inte rna l migration, an d the pro-
portion of savings or cap ital formation to nation al produ ct. Fo r ex-
ample, such swings might be found in the ratio of foreign tra de to
domestic activities; in the aspects, if we could only measure them prop-
erly, of government activity tha t bear upon marke t forces
there
mu st have been a phase of increasing freedom of m ark et forces,
giving way to grea ter intervention by g overnm ent). B ut the suggestions
alre ady m ade suffice to indic ate tha t the long swing in income inequa lity
must be viewed as part of
a
wider process of economic grow th, and
interrelated with similar movements in other elements. T h e long alter -
nation in the r ate of growth of pop ulation can be seen partly as a cause,
partly as an effect of the long swing in income inequality which was
associated with a secular rise in real per capita income levels. The long
swing in income inequality is also probably closely associated with the
swing in capital formation proportions-in so far as wider inequ ality
makes fo r higher, and narrower inequ ality for lower, country-wide sav-
ings proportions.
IV.
ompa rison of Developed and Underdeveloped ountrie s
W ha t is the bearing of the experience of the developed cou ntries upon
the economic growth of underdeveloped countries? Let us examine
briefly th e d ata on income distribution in th e latter, an d speculate upon
some of th e implications.
As might have been expected, such da ta for underdeveloped cou ntries
are scan ty. Fo r the p resent purpose distributions of family income for
Ind ia in 1949-50, fo r Ceylon in 1950, and for Pue rto R ico in 1948 were
used. While the coverage is narrow an d the margin of erro r wide, the
data show that income distribution in these underdeveloped countries
is somewhat
more
unequal than in the developed countries during the
period af ter the second world war. T h us the shares of th e lower quin-
tiles are 28 per cent in Ind ia, 3 per cent in Ceylon, an d 24 per cent in
Puer to Rico-compared wi th 34 per cent in the United States and 36
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KUZNETS: ECONOMIC
GROWTH
AND INCOME INEQUALITY
per cent in the United Kingdom. T he shares of the t o p quintile are 55
per cent in India, 50 per cen t in Ceylon, an d
56
per cent in Puerto Rico,
compared with 44 per cent in the United States and 45 per cent in the
United Kingdom.'
This comparison is for income before direct taxes and excluding free
benefits fro m governments. Since the burden an d progressivity of direct
taxes are much greater in developed countries, and since it is in the
latte r th at su bs tan tial volumes of free economic assistance are extended
to the lower-income groups,
a
com parison in terms of incom e ne t of
direct taxes and including government benefits would only accentuate
the wider ineq uality of income distributions in the underdeveloped co un-
tries. I s this difference a re liable reflection of wider ine quality also
in the distribu tion of secula r income levels in underdeveloped coun tries?
Even disregarding the margins of error in the data, the possibility
raised earlier in this paper that transient disturbances in income levels
may be more conspicuous under conditions of primitive material and
economic technology would affect the comparison just made. Since the
distributions cited reflect the annual income levels, a greater allowance
should perhaps be made for transient disturbances in the distributions
fo r the und erdeveloped than in those for the developed countries.
Whether such a correction would obliterate the difference is a matter
on which I
have no relevan t evidence.
Another consideration might tend to support this qualification. Un-
derdeveloped coun tries are ch aracterized by low av erage levels of in-
come per capita, low enough to raise th e question how the po pulations
manage to survive. Let us assume that these countries represent fairly
unified population groups, and exclude, for the moment, areas that
combine large native populations with small enclaves of nonnative,
privileged m inorities, e.g., Ke ny a an d R hodesia, where income inequa l-
ity, because of the excessively high income sha res of the privileged
minority, is appreciably wider than even in the underdeveloped coun-
tries cited above.' On this assum ption, one ma y infer th at in countries
or sources of these da ta see Regional Economic Tren ds an d Levels of Living, sub-
mitted a t the Korm an Waite Harris Fou ndation Insti tu te of th e University of Chicago in
November 195'4 (in press in th e volume of proceedings). T his paper, an d an earlier one,
Underdeveloped Countries an d the Pre-industrial Phases in the Advanced C ountries: An
Attempt a t Comparison, prepared for the World Population Meetings in Rome held in
Septemb er 1954 (in press) discuss issues raised in this section.
'In one year since the second world war, the non-African group in Southern Rhodesia,
which accounted for only
5
per cent of total population, received 57 per cent of total in-
come; in Kenya, the minority of only 2.9 per cent of total population, received 51 per cent
of total income; in No rther n Rhodesia, the minority of only 1.4 per cent of tota l population,
received 45 per cent of t ota l income. See United Natio ns,
Natioturl Income and Its k
trihution in Underdeveloped Countries
Statistical Paper, Ser.
E
no.
3
1951, Tab le 12, p.
19.
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THE AMERICAN ECONOMIC REVIEW
with low averag e income, the se cular level of income in the lower brac-
kets could no t be below a fairly sizable proportion of averag e income-
otherwise, the groups could not survive. This means, to use a purely
hypoth etical figure, th at the sec ular level of the sh are of the lowest
decile could not fall far short of
6
or 7 per cen t, i.e., the lowest decile
could not have a per cap ita income less than six- or seven-ten ths of the
countrywide average. I n m ore advanced coun tries, with higher average
per cap ita incomes, even th e secula r share of the lowest bra cke t could
easily be a smaller fraction of the countrywide average, say as small as
or per ce nt for the lowest decile, i.e., from a fifth to a third of the
countryw ide average-without implying a ma terially impossible eco-
nomic position for tha t group. T o be sure , there is in all countries con-
tinuous pressure to raise the re lative position of the bottom-income
groups; but the fact remains that the lower limit of the proportional
share in the secular income structure is higher when the real country-
wide per c apit a income is low than when i t is high.
f
the long-term s ha re of the lower-income groups is larger in th e
underdeveloped than in the average countries, income inequality in the
former should be narrower, not wider as we have found. However, if
the lower brackets receive larger share s, an d a t the same time the very
top bra cke ts also receive larger shares-which would me an th at the
intermediate income classes would not show as gre at a progression from
the bottom-the net effect may well be wider inequa lity. T o illus trate ,
let us compare the distributions for India and the United States. The
first quintile in In dia receives per cen t of tota l income, more tha n th e
6
per cen t sha re of the first quintile in the United States. Bu t the second
quintile in India receives only
9
per cent, the third 11, and the fourth
16; whereas in the United S tates, the shares of these quintiles are 12,
16, and
respectively. T h is is a rough statistic al reflection of a fa irly
common observation relating to income distributions in underdeveloped
compared with developed countries. T h e former have no middle
classes: there is a sharp contrast between the preponderant proportion
of population whose average income is well below the generally low
countrywide average, and a small top group with a very large relative
income excess. Th e developed countries, on the other ha nd, a re charac-
terized by a much more gradual rise from low to high shares, with sub-
stantial groups receiving more than the high countrywide income
average, an d the top groups securing smaller shares than the comp arable
ordinal groups in underdeveloped countries.
I t is, therefore , possible th at even the distribution s of secula r income
levels would be more unequal in underdeveloped than in developed
countries-not in th e sense th at the shares of the lower bra cke ts would
be lower in the former th an in th e latter , but in the sense th at the sha res
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KUZNETS: ECONOMIC GROW TH AND INCOM E INEQUAL ITY
23
of the very top g roups would be higher a nd th at those of th e groups
below the top would all be significantly lower than a low countrywide
income average. T hi s is even more likely to be tru e of th e distribution
of income ne t of direct taxe s and inclusive of free govern me nt ben efits.
Bu t whether a high probability weight can be a ttache d to this conjecture
is a ma tter for further study .
In the absence of evidence to the contrary, assume tha t i t is tru e:
that the secular income structure is somewhat more unequal in under-
developed countries tha n in th e more advanced-particularly in those
of Western an d N orthe rn E uro pe an d their economically developed
descendants in the New World the United States, Canad a, Australia,
and New Zealand). This conclusion has a variety of important impli-
cations and leads t o some pregnant questions, of which only a fe w can
be stated here.
I n the first place, the wider inequality in th e secular income stru ctu re
of underdeveloped cou ntries is associated with a much lower level of
average income per cap ita. Tw o corollaries follow-and th ey would
follow even if the income inequalities were of the same relative range
in the two groups of countries. Firs t, the impact is far sharp er in the
underdeveloped countries, where the failure to reach an already low
countrywide average spells much greater material and psychological
misery than similar proportional deviations from the average in the
richer, more advanced countries. Second, positive savings a re obviously
possible only a t much h igher relativ e income levels in th e underdeveloped
countries: if in the more adva nced co untries some savings ar e possible
in the fourth quintile, in t he underdeveloped countries savings could be
realized only a t the very peak of the income pyramid, say b y the top
5 or per cent.
f
so, th e conce ntration of savin gs an d of a ssets is even
more pronounced than in th e developed countries; and the effects of
such concentration in the pa st m ay serve to explain the peculiar charac-
teristics of th e secular income stru ct ur e in underdeveloped coun tries
today.
The second implication is that this unequal income structure pre-
sumab ly coexisted w ith a low rate of growth of income per c apita. T h e
underdeveloped countries today have not always lagged behind the
presently developed areas in level of economic performance; indeed,
some of th e form er ma y have been th e economic leaders of th e world in
the centuries preceding the last two. The countries of Latin America,
Africa, and particularly those of Asia, are underdeveloped today be-
cause in th e las t two cen turies, and even in recent d ecades, their ra te of
economic growth ha s been far lower than t ha t in the Wes tern World-
and low indeed, if any growth there was, on a per capita basis. The
underlying sh ifts in industrial structure, the oppo rtunities for internal
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24 THE AMERICAN ECONOMIC REVIEW
mobility and for economic improvement, were far more limited than
in the more rapidly growing countries now in the developed category.
Th ere was no hope, within th e lifetime of a generation, of a significantly
perceptible rise in the level of real income, or even th at th e next genera-
tion might fare m uch better. I t was this hope that served as an impor-
tant and realistic compensation for the wide inequality in income dis-
tribution that characterized the presently developed countries during
the earlier phases of their growth.
T h e third implication follows from the preceding two. I t is quite
possible th a t income inequa lity has not narrowed in the uilderdeveloped
countries within recent decades. T he re is no empirical evidence to check
this conjectural implication, bu t i t is suggested by the absence, in these
area s, of the dy nam ic forces associated with rapid growth th a t in the
developed coun tries checked the upw ard trend of th e upper-income
shares that was due to the cumulative effect of continuous concentra-
tion of pa st sa vings ; a nd it is also indica ted by the failu re of the politi-
cal and social systems of underdeveloped c oun tries to initiate the govern-
mental or political practices that effectively bolster the weak positions
of th e lower-income classes. Indeed, th ere is a possibility tha t inequa lity
in th e secular income structu re of underdeveloped countries may have
widened in recent decades-the only qualification being th at where
there has been a recent shift from colonial to independent status, a
privileged, nonn tive minority may have been eliminated. But the im-
plication, in term s of the income distributio n among the
n tive
popula-
tion prope r, still remains plausible.
T he somber picture just presented m ay be a n oversimplified one. B ut
believe that it is sufficiently realistic to lend weight to the questions
it poses--questions a s to the bearing of th e recent levels an d tren ds in
income inequality, and the factors tha t determine them, upon the future
prospect of underdeveloped cou ntries within th e orbit of the free world.
The questions are difficult, but they must be faced unless we are
willing completely to disregard past experience or to extrapolate me-
chanically oversimplified impressions of pa st de velopme nt. T h e first
question is: I s the pa ttern of the older developed countries likely to be
repeated in the sense that in the early phases of industrialization in the
underdeveloped countries income inequalities will tend to widen before
the leveling forces become strong enough first to stabilize and then re-
duce income inequalities? While the future c annot be a n exact repetition
of the p ast, there ar e alre ady certain elements in the present conditions
of underdeveloped societies, e.g. swarming of population due to sh arp
cuts in death rates unaccompanied by declines in birth rates-that
threate n t o widen ineq uality by de pressing the relative position of lower-
income groups even fu rther. F urthe rm ore, if an d when industrialization
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5
begins the d islocating effects on these societies in which the re is often
an old hardened crus t of economic an d social institutions ar e likely to
tc? be qu ite sharp-so sh ar p a s to destroy the positions of some of th e
lower groups more rapidly than opportunities elsewhere in the economy
may be created for them.
The next question follows from an affirmative answer to the first.
Can the political framework of the underdeveloped societies withstand
the s trai n which furth er w idening of income inequality is likely to gen-
erate ? Th is que ry is pertinent if it is realized that the real per ca pita
income level of many underdeveloped societies today is lower than the
per capita income level of the pre sently developed societies before
th ir
initial phases of industrialization. A nd ye t the stresse s of the disloca-
tions incident to early phases of indus trialization in the developed coun-
tries were sufficiently acute to strain the political and social fabric of
society force major political reforms an d sometimes result in civil war.
T he answer to the second question may be negative even granted
that industrialization may be accompanied by a rise in real per capita
product. If for many groups in society the rise is even pa rtly offset by
a decline in their proportional share in total produc t; if consequently
it is accomp anied by widening of income ineq uality the res ulting pres-
sure s and conflicts ma y necessitate d rastic chang es in social and political
organization. This gives rise to the next and crucial question: How
can e ither the institutiona l and political framewo rk of th e unde rde-
veloped societies or the processes of economic growth an d indu strializa-
tion be modified to favo r a s ustain ed rise to higher levels of economic
performance an d yet avoid the fatally simple remedy of an au thorita rian
regime th at would use the population as cannon-fodder in the fight for
economic achievement? How to minimize the cost of transition and
avoid paying the heavy price-in in te rnal tensions in long-run ineffi-
ciency in providing means for satisfying wants of human beings as
individuals-which th e inflation of political power rep resen ted by
authoritarian regimes requires?
Fac ing these acu te problems one is cognizant of th e dang ers of ta k-
ing a n extreme position. One extreme-particularly tem pting to us-
is to favor repetition of past patterns of the now developed countries
patte rns th at under the m arkedly different conditions of th e presently
underdeveloped countries ar e almost bound to pu t strain on the exist-
ing social and economic institutions an d eventuate in revo lutionary ex-
plosions and a utho ritarian regimes. Th ere is danger in simple analogies;
in arguing that because an unequal income distribution in Western
Eu rope in th e past led to accu mulation of savings and financing of basic
capital formation the preservation or accentuation of present income
inequalities in the underdeveloped countries is necessary to secure the
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TH
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same result. Even disregarding the implications for the lower-income
groups, we may find that in at least some of these countries today the
consumption propensities of upper-income groups are far higher and
savings prop ensities fa r lower th an we re those of the more puritanical
upper-income gro ups of the prese ntly developed countries. Because the y
may have proved favorable in the past , i t is dangerous to argue that
completely free markets, lack of penalties implicit in progressive taxa-
tion, a nd the like ar e indispensable for the economic growth of th e now
underdeveloped countries. Under present conditions the results may be
qu ite th e opposite-withdrawal of accu mu lated assets to relatively
safe channels, either by flight abro ad or into real est ate ; and the
inability of governments to serve as basic agents in the kind of capital
formation th at is indispensable to economic growth. I t is dangerous to
argue that, because in the past foreign investment provided capital
resources to spa rk satisfacto ry economic growth in some of the smaller
European countries or in Europe's descendants across the seas, similar
effects can be expec ted tod ay if o nly the underdeveloped cou ntries can
be convinced of th e need of a favo rable climate. Yet, it is equ ally
dangerous to take the opposite posit ion and claim t ha t the prese nt prob-
lems are entirely new and that we must devise solutions that are the
product of imagination unrestrained by knowledge of the past, and
therefore full of romantic violence. What we need, and I am afraid i t
is but a truism, is a clear perception of past trends and of conditions
under which they occu rred, as well as knowledge of the conditions th at
characterize the underdeveloped countries today. With this as a begin-
ning, we can then at tem pt to translate th e elements of a prop erly under-
stood past into the conditions of an a deq uately understood present.
V. oncluding Remarks
In concluding this paper,
I
am ac utely conscious of the meag erness
of
reliable information presented. The paper is perhaps
5
per cent
empirical information and 95 per cent speculation, some of it possibly
tainted by wishful thinking. Th e excuse for building an elabo rate struc-
ture on such a shaky foundation is a dee