46
De-~elopment Research Center Discussion Papers No. 25 Yigration, Denographic Change and Income Distribution in a Nodel of a Developing Country by Irma Xdelnan University of Haryland Sherman Robinson Princeton University Q , t - .w '2 -.- NOTE: Discussion paper; are prelisinary naterials circulatgd to stimulate discussion and cflttcal comnent. References in publfcatian to Discussion Papers should be cleared with the to protect the tentative character of these papers. The virvs of the author and should not be of the World Bank. - Public Disclosure Authorized Public Disclosure Authorized Public Disclosure Authorized Public Disclosure Authorized Public Disclosure Authorized Public Disclosure Authorized Public Disclosure Authorized Public Disclosure Authorized

World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

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Page 1: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

De-~elopment Research Center

Discuss ion Papers

No. 25

Y i g r a t i o n , Denographic Change and Income

D i s t r i b u t i o n i n a Nodel o f a

Developing Country

by

Irma Xdelnan U n i v e r s i t y of Haryland

Sherman Robinson P r i n c e t o n U n i v e r s i t y

Q , t

- .w

'2 -.- NOTE: Discuss ion paper; a r e p r e l i s i n a r y n a t e r i a l s c i r c u l a t g d t o s t i m u l a t e

d i s c u s s i o n and c f l t t c a l comnent. References i n p u b l f c a t i a n t o Discuss ion Pape r s should be c l e a r e d wi th t h e t o p r o t e c t t h e t e n t a t i v e c h a r a c t e r of t h e s e pape r s . The virvs of t h e a u t h o r and should n o t be of t h e World Bank.

-

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Page 2: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

X f g r a t i o n , Demographic Change a n d Income

D i s t r i b u t i o n i n a Xode l o f a

D e v e l o p i n g C a u n t r y

Irma Adelman U n i v e r s i t y o f Mary land

Sherman Rob inson P r i n c e t o n U n i v e r s i t y

R e s e a r c h Program i n Development S t u d i e s Woodrow Wi l son S c h o o l - P r i n c e t o n U n i v e r s i t y - P r i n c e t o n , N e w ~ e r s e p

e F e b r u a r y 1977

D i s c u s s i o n P a p e r # 7 1

Tlie work d e s c r i b e d i n t h i s p a p e r h a s b e e n s u p p o r t e d b y t h e

S o t c : D i s c u s s i o n p d p e r s of t h e R e s e a r c h P r o g r a a i n S t u d i e s a r e p r e l i m i n a r y m a t e r i a l c i r c u l a t e d t o s t i m u l a t e cox?:cnr. P l e a y c do ncit r e f e r to d i s c u s s i o n p a p e r s

Development R e s e a r c h C c n t e r of t h e World Sank. The v i e w s e x p r e s s e d a r e o u r o m r v f l e r t t hose o f t h e !dorid Sank.

and do n o t n e c e s s a r i i : ~

Page 3: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

Tab le of C o n t e n t s

1 . 1 :I L r o d i ~ i , L ion

! I . Yodel S~irnmnry

Lconumtc Y o d e l : S t a t i c P a r t

Econom i : ?lode1 : Dynamic P a r t 1 l3

I!ou~;cho l d Composi t ion

?li g t'il t i o n >lode 1

Labor F o r c e Growth and Composi t ion

111. Est. irnation and E m p i r i c a l Dynamics

D a t a , Model E s t i m t i o n , and V a l i d a t i o n

Rnv i c Mode 1 Dynamics

I V . Demograph L C E x p c r i a e n t s

Y i g r n t i o n Rate V a r i a t i o n s

Dalnnccd Lnbor Growth

L'nb.11nnct.d L,tbur Growth

V. C n n c l u s i o ~ l L

Page 4: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

I . ISTRODUCTION

T h i s p a p e r i l l u s t r a t e s t h e a p p l i c a t i o n of a n e x t y p e of

p l a n n i n g n o d e l t o t h e s t u d y of t h e r e l a t i o n s h i p between d e , o g r a ? h i c b I

phenomena and tlla work ings o f t h e economy, e s p e c i a l l y t h e b i s t r i b u t i c n I

o f income and t h e e x t e n t o f p o v e r t y . The a v e r a l l model c o b s i s t s o f

a s t a t i c wage and p r i c e endogenous computab le g e n e r a l e q u i i b r i u n 1 (CGE) c o r e model l i n k e d t o a p a r t i a l l y a d a p t i v e dynamic mogel. The

I

CCE model o f t h e econonp c c n s i s t s o f a l a r g e s i m u l t a n e o u s Q y s t e e of

e x t r e m e l y n o n- l i n e a r e q u a t i o n s . The two submodels can b e d o n s i d e r e d

a s b l o c k r e c u r s i v e p a r t s of an o v e r a l l model whose behav iod combines

n e o c l a s s i c a l s u b s t i t u t i o n p o s s i b i l i t i e s and market c l e a r i n e q u i l i b r i u m

w i t h n o n- n e o c l a s s i c a l r i g i d i t i e s and d i s e q u i l i b r i u m

T h e model u s e d i n t h i s p a p e r i s a d a p t e d

d e v e l o p e d t o e x p l o r e t h e economic d e t e r m i n a n t s o f t h e d i s t r i b u t i o n

of i n c o n e i n t h e s h o r t t o medium run. ' It t h u s i n c l u d e s a 1 e r y

d e t n f 1c.d n o d e l of t h e e c o n o n i c s y s t e m and i n c o r p o r a t e s a nu b e r o f m mech;in i sms b y which d e n o g r a p h i c phenomena a f f e c t t h e l a b o r

. t t h e ~ c o n o n y Lrl g e n e r a l . I t a l s o i n c l u d e s a model of t h e wo

r n n p o s i t i o n of hu t i s rho lds a n d , i n t h i s e x t e n d e d v e r s i o n , a I i e x i b l e I

r . modrl o f r u r a l - u r b a n m i g r a t i o n . The model does n o t , howeve!, dds-

I

f o r s t u d y i n g t h e fmpact of d e x o g r a p h i c phenonena on t h e ecsnony a n d

; , g ~ r c j ; : i t ~ t ! i ~ po?ul,?:loil by a g e , s e x , o r l o c a t i 6 n ( e x c e p t r e r a l - u r b a n ) II

fr,r e x a m i n i n g t h e r o l e of m i g r a t i o n , i t i s n o t d e s i g n e d f o r e s a n i n i a g

mci , e x c e p t f o r m i g r a t i o n , t h e r e i s no feedback- of economic phenomena

ori p o p u l a t i o n o r l a b o r f o r c e . Thus , w h i l e c h e n o d e l is r e 1 4 s u i t e d

Page 5: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

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Page 6: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson
Page 7: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

6 :?odern:e r a t e o f ? o ? u l a t i ; = growth i s o p t i m a l . 3 0 t h v e r y n i g h a ~ d

\ ? c r ; ~ !ow r a t e s y i e l d e d lo...-er p e r c a p i t a i n c o a e s i n t h e l c n g r u n . I n I

I

t!le s n z e v e i n , t h e I . L . O . z c d e l ( B a c h u e ) , i n which t h e econoniic s y s t e a *. - I

is dezand d r i v e o ; y i e l d e d t h e r e s u l t t h a t s u b s t a n t i a l v a r i a t i o i n s i n I

popu1, i t ion p r o i i t ! ~ Save l i t c l e e f f e c t on p e r c a p i t a income, on i n c o E e I

dis : r :hut ion, o r on t h e i n c i d e n c e and l e v e l of p o v e r t y f o r p s r k o d s u? I

t o nbcu t 35 g e a r s . F u r : h s r s o r e , i n Bachue, t h e t r a n s i i i o n t o bower I

r z ~ t e s o f p ~ p u l a t i c n growth r e s u l t s i n n e a r - t e r n d s c l i c e s i n c a p i t a I

i n c o r e x h i c h t u r n a round o n l y a f t e r 35 t o 50 y e a r s . I I I

In t h i s p a ? e r , we e x p l o r e s o r e of t h e i s s u e s r a i s e d y b thc Sinon and anchue n o d e l s i n t h e c o n t e x t of o u r s h o r t t o med/un run

a o d e l . X e r e p o r t on a nuizber o f e x p e r i x e n t s w i t h t h e model wh c5 4 I

c x p l o r e t h e e f f e c t s on t h e economy of a l t e r n a t i v e p a t t e r n s of d u r a l - - I I

u rban x i g r a t i c n and l a b o r f o r c e growth o v e r a n i n e y e a r p e r i o d . I n I I

p a r t i c u l a r , we a n a l y z e t h e e f f e c t s on t h e d i s t r i b u t i o n o f inconk and I

rhc e x t e n t u f p o v e r t y . Our results f o r Korea b r o a d l y s u p p o r t t h e I

c u n c l u u i o n s f rom t h e Siinon model even though o u r model i n c o r p o r t e s P o n l y one e l c z e n t of p o s i t i i g e feedback from p o p u l a t i o n growth t o ( t h e ' '

1 C C O ~ I O E ~ -- t h a t o p e r a t i n g th rouph t h e goods m a r k e t s , f o r - , ~ g r i c u l : u r a l goods . Xe f i n d t h a t r a p i d o v e r a l l l a b o r fort< g r o q t h

L I I

l e i ~ d s t o h k h e r i n c o n e s f o r t h e poor t h a n does low is?bor f a c e ( B * ~

xrowrh np.d L h a t n o d c r a t e g r o v t h i s t h e b e s t o f a l l . - I

Page 8: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

II

UC

c

c- r

mw

(3

6

m

U

N

LU

X

LJ 6

Page 9: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson
Page 10: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

The n o d e l i n c o r 7 o r a t e s o p t i n i z i n g r e s p o n s e s by f i r m a a d

h o u s ~ t ~ o l d s t o a wide r a n g e of ? o l i c y i n s t r u n e n r s . I t i s a l s o c a p a b l e I

O F p o r t r a y i n g a . ~ a r i e t y of i a s t i t u t i o n a l p r i n c i p l e s i n t h e o p e r a t i o n ,

O F c r e d i t n a r k e t s and f a c t o r i r d r k e t s , t h e d e g r e e o f mono o l y , and I' I even t h e o b j e c t i v e E u n c t i o n s of f i r n s .

For e a c h p e r i o d , t h e computa t ion o f t h e model. i s decomposed I I

i n t o two p a r t s -- a s i a u l t a n e o u s , s t a t i c p a r t , c o n s i s t i n 4 p r i x a r i l y I

of a n economic s u b n o d e l , and a d y n a n i c p a r t , c o n s i s t i n g d f e c o n o n i c , I

I

demographic and n i g r a ~ i o n submodels . The s t a t i c model , d a l l e d I

S t a g e XI i n o u r book, d e s c r i b e 5 hov f a c t o r and p r o d u c t q a r k e t s r e a c h 1 1

an e q u i l i b r i u m c o n s t r a i n e d by t h e i n v e s t m e n t c o m i t m e n t s u n d e r t a k e n

e a r l i e r , by r i g i d i t i e s imposed by f o r e i g n t r a d e , and by q n s t i t u t i o n a l

r f g i d i t i e s i n t h e o p e r a t i o n of p r o d u c t and l a b o r m a r k e t s . Money a n d I

t h e a v e r a g e p r i c e l e v e l e n t e r t h e model i n a n e s s e n t i a l why. The I

I

d y n a n i c model c o m p r i s e s a n invest inent submodel , which d e s k r i b e s t h e

c o n t r a c t s made between f i r m s and t h e f i n a n c i a l m a r k e t s t o a c q u i r e fun& I

t o s p e n d on i n v e s t a c n t goods ( c a l l e d S t a g e I i n o u r book); a r u r a l -

urban n i g r a t i o n subnode 1 ; a d e h o i r a p h i c submodel; and modGls which I

gcnr r a t e t h e expec r a t i o n s on which i n v e s t m e n t d e c i s i o n s a i e b a s e d , . - - - I s e t sune of :he ru.]es o f o p e r a t i o n of t h e c - , Jnony , and "a$e" t h e n o d e l

L I - I

economy. - %! I

Xe w i l l f ? r s t d i s c u s s t h e economic model u s i n g d iagrams

r a t h e r than e q u a t i o n s . We w i l l then s e p a r a t e l y d i s c u s s t h e d e ~ o g r a p h i c

s ! :bncdc ls t h a t a r c i n c o r p o r a t e d i n t o t h e o v e r a l l nodel borh i n che

s t . -~c L C and d y n a n i c p a r t s .

Page 11: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

E c c a c n i c Xodel : S t a t i c P a r t

The c o r e e c o n ~ z i c n o d e l i s a g e n e r a l e q u i l i b r i u i s model i n

t h a t - a r i c c s a n d y u p p l i e s a r e assuxed t o a d j u s t s o as t o c l e a r a l l I

n a r k e t s , s u b j e c t t o v a r i o u s c o n s t r a i n - . s on f a c t o r m o b i l i t y t h a t

p r e v e n t t h e econoay I r 3 n f u l l y a d j u s t i n g by s e a n s of p u r e !arkst I

mechanisns . The s o l u t i o n i s c a l c u l a t e d by means o f a t a t o d n e n e n t

p r o c e s s which s i n u l a t e s n a r k t t j e h a v i o r ; no a c t u a l t r a n s a c t i i o n s

t a k e p l a c e u n t i l t h e s o l u t i o n is r e a c h e d . The o u t p u t s of t b e s z a t i c

n o d e l e r e " a c t u a l " p r o d u c t i o n , enployinent , p r i c e s , wages anp i n c o a e I

I d i s t r i b u t i o n f o r t h c p e r i o d .

b I

The model i s i t s e l f s u b- d i v i d e d i n t o a number of p a r t s I,

r e p r e s c n t i n p d i f f e r e n t c o r n p u t ~ t i o n a l p h a s e s : s u p p l y , denanb , wage, I

income and p r i c e d c t e r n i n a t i o n . I n F i g u r e 1, t h e p r o d u c t a i d l a b o r

m a r k e t s a r e p i c t u r e d . P r o d u c e r s d e t e r m i n e t h e i r p r o f i t- maximiz ing

demands f c r l a b c r and s u p p l i e s o f p r o d u c t s g i v e n an i n i t i a i Iguess a t I

t h e s o l l r c i o n p r i c e s . Thcse demands f o r l a b o r i n t e r a c t w i t h l a b o r

s u p p l y f u n c t i o n s t o d e t e r m i n e wages and employment s o as t~ c l e a r L I

I > , 1 ;' -. lnbor m a r k e t s . From t h e d e t e n i n a t i o n of employment, wages a n d I

I

r e t u r n s t o c a p i t a l , t h e d i s t r i b u t i o n of i n c o m e r t o t h e e c o n o i ' i c a l l y -2 L

7 n c t f v e p c p u l n t i o n is d e r i v e d . T h i s f u n c t i o n a l _ d i s t r i b u t i o n bf i n c o r e - -

8 B is thcn t r a n s l a t e d i n t o t h e househo ld d i s t r i b u a o n . P a r t sk t h e I

I I

t r t ~ n s l n t f c r ~ ?nvc7veu a d e n o g r a 7 h i c n o d e l o f t h e v o r k e r c o ~ p o s i t i o n

of t ~ o u s c h o l d s t h a t i s d i s c u s s e d s e p a r a t e l y b e l c v . For e a c h s o c i o -

I c c u n o n i c c a t e g o r y of i n t o n e r e c i p i e n z s t h e ncde l d e t e r n i n e s i n c o z e .

t . ~ x c s , n l l o c a t ion t o h o ~ s e h o l d g r o u ? s , t r a z s f e r s , s a v i n g s and

Page 12: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

lu

a, 0

U

aJ

.4

U

E!

LJ c

no

a

aJ c;)

LJ a

Page 13: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson
Page 14: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

F i g u r e 2

1 ; A Demand f o r " r o d u c t s and Inco,ne D i s t r i b u t i o n

Page 15: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

Expected Wages I Expected Salos

Desired Investment Demand Equation4

Expected Relative

Dosired Investment1

Production Parameters

Accumulated Retained ,

Demand for Invertible Funds

I C I

I

.

- *

k I

Nominal Investrnent~ Expenditures by Firms

Figure 3 DETERMINATION O F INVESTMENT

I

I I

I

Slipply of Credit or Cost o f Capital

- - Clearing of ' ? L

Credit Markets ~

Page 16: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

Econonic Hode l : Dynanic P a r t -

The dynnnic par : c a n s i s t s of ; c o l l e c t i o n o f s u b z ~ ~ o d e l s w h i c h I I

s p e c i f y a l l t h e a y n m i c a d j u s t x e z t s and i n t e r t e n p o r z l l l inkages f o r thtz

o v e r a l l nodeg. E s s e n t i a l l y , t h e submodels t a k e t h e r e s b l t s o f t h e s t a t i c I

x o d a l a s exogenous i n p u t and c a l c u l a t e a rrilmbar o f v a r i b b l e s t h a t a r e

used as exogenous i n p u t f o r t h e s t a t i c n o d e 1 i n t h e nexF p e r i o d . T h c I

s e t of s u h n o d e l s i n c l u d e s : a model o f r u r a l - u r b a n r n i g r h t i o n , a mode l of I I

l a b o r f o r c e growth and s t r u c t u r e , a model of t h e l o a n a b l e f u n d s m a r k e t I I

and i n v e s t s e n t d e t e r m i n a t i o n , and f i n a l l y a number of f 6 n c t i o n s v h i c h

d i s c u s s e d s e p a r a t e l y i n tkn n e x t s e c t i o n .

I I . ? d a t e exogenous p a r a n e t e r s ( such as p r o d u c t i v i t y g r o u t b ) . The demo-

Inves tment i n t h e model i s d e t e r m i n e d by e x p l i c i t l I y m o d e l l i n g I

t h e demand f o r i n v e s t i b l e f u n d s by e a c h f i r m s i z e and se ic to r . F i g u r e

g r ; ~ p h i c mode 1s o f r u r a l - u r b a n m i g r a t i o n and l a b o r f o r c e

3 showi t h e model s c h e r i t i c a l l y . P r o d u c e r s form t h e i r dlernands f o r l o a c a b l e

growth a r e

I

f u n d s on t h e b a s i s of e x p e c t e d s a l e s and p r i c e s of i n p u t which a r e , in p t u r n , b a s e d on t h e s o l u t i o n of t h e s t a t i c model f o r t h e b r e - i o u s p e r i o d .

I

C r e d i t is then r a t i o n e d e i t h e r by s e t t i n g an i n t e r e s t r b t e and a l l o d i n g I

tile n - ~ r k c t t o c l e a r a t t h a t r a t e o r by s e t t i n g a t a r g e t t a t e o f expansion I

of c r e d i t and a l l o w i n g ' t h e r a t e of i n t e r e s t t o a d j u s t . & - ( o r d e r t o c l e a r - L

I

t h e l o w a b l e funds m a r k e t . The o u t p u t s of t h i s s u b m o d e l a r e t h e

i I ; I l !ocst?en of l o a n a b l e funds acong f i... s i z e s and s e c t o ~ Q and a n o v e r a k l

I

i n j e c t i o n of c r e d i t i n t o t h e econony . I f t 5 e i n f l a t i o n j a t e i n t h e

n e x t p e r i o d i s as e x p e c t e d , t h e n t h e s e c t o r s > r i l l a c h i e v q t h e i r des i r ec I

! ' I ' .

L s h i g h e r t h a n e d p e c t e d ,

t 1 1 r n rc.71 i n v e s t c e n t w i l l be l o v e r s i n c e t h e

Page 17: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

-- -14-

n o n l n a l i n v e s t l e n t s e t i n t h e d y n a a i c s u b n o d e l w i l l n o t p u r c h a s e as

nany r e a l i n v e s t m e n t goods 3s d e s i r e d . I

P n r a r e t e r u p d a t i o g i n t h e d j n a n i c node? ? r o c e e d s , i n

g e n e r a l , i n i n d e p e n d e n t b l o c k s of equat ions- . "or example , I

t e c h n o l o g i c a l 7 r o d u c t i v i t y 7 a r a n e t e r s a r e e x t r a p o l a t e d u s i n g a geo-

n e t r i c growth t r e n d and a r e i n d e p e n d e n t of any d e n o g r a ~ h i c t ends such 1

r a t i a s . S a l e s e x p e c t a t i o n s f o r f i r m s ( r e q u i r e d f o r investment1 ~ d e t ~ r n i n a t i o n ) a r e f o r ~ e d on ik'e b a s i s of p a s t r a t e s of of

a s p o p u l a t i o n p r e s s u r e on n a t u r a l r e s o u r c e s . The s a v i n g s r a t e s

upda ted by n e a n s of a n e s t i m a t e d r e l a t i o n between s a v i n g s r a t e s

s a l e s m o d i f i e d by r e l a t i v e p r o f i t a b i l i t y . Exchange r a t e r e g i + e s I

a r e

and

( f i x e d o r f l e x i b l e ) and f i n a n c i a l r eg imes ( f i x e d i n t e r e s t r a t

o r t a r g e t e d c r e d i t i n j e c t i o n s ) a r e u p d a t e d exogenous ly . F i n

income l e v e l s w i t h o u t any c o n s i d e r a t i o n of demographic depend

I

a c c o u n t i n g r e l a t i o n s h i p s a r e used t o u p d a t e t h e c a p i t a l s t o c k s of

f i r m s , t a k i n g a c c o u n t of p a s t i n v e s t m e n t , d e p r e c i a t i o n and ge t a t i o n i

urban m i g r a t i o n w h i c h i s one of t h e s u b n o d e l s i n t h e d y n a n i c p b r t

i of t l i c o v e r . i l 1 izodei. P i 2 a l l y , t h e r e i s a subi-.odel i n t h e dyn+:iic

p n r l v h l c h d e t e r m i n e s t h e a g g r e g a t e grau:h of :he l a o o r f o r c e $ a d I

i

@ Demographic Submodels

There a r e t h r e e n a j o r demographic n o d e l s i n c o r p o r a t e d i n

t h c o v e r a l l model . F i r s t , t h e r e i s a model of household compo 5 i t i o n - w!lLch d e t e r m i n e s t h e number and c o z p o 5 t : o n of h o u s e h o l d s i n t e

s t n t i c p a r t of t h e o v e r a l l n o d e l . Second , t h e r e i s a model of r u r a i - :I

Page 18: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

-15-

a150 i t s s k i l l c 0 ~ , 3 0 s i t i o n .

!luuseilold -- ConposiL@

Ln t h e ~ ~ & t i c x o d e l , x e d e f i n e f i f t e e n househo

c l ~ t e p o r i z e d by t h e occupation of t h e head o f t h e househo d . Each I h o u s c i ~ o l d can have =ore t h a n one x o r k e r and t h e o t h e r wo

work i n o c c u p a t i o n s d i f f e r e n t from t h a t of t h e head of t

I ~ o l d . As p a r t of its s o l u t i o n , t h e s t a t i c n o d e l g e n e r a t

and a v e r a g e income f o r e a c h o f t h e f i f t e e n c a t e g o r i e s o f

r e c i p i e n t s . The pro5len i s t o combine t h e s e v a r i o u s i n c

i n t o h o u s e h o l d s and s o t r a n s l a t e from f u n c t i o n a l o r

t o househo ld incomes.

The t e c h n i q u e we have d e v e l o p e d t o ;:hieve

is h a r e d on knowledge of t h e a v e r a g e number of o t h e r work rs i n I. c n c h house\ io ld c a t e g o r y and t h e i r o c c u p a t i o n a l d i s t r i b u t i

Assuming t h a t t h e a v e r a g e number and o c c u p a t i o n a l c o n p o s i

w o r k e r s i n e a c h househo ld c a t e g o r y i s c o n s t a n t and g i v e n f h e

p o p u l a t i o n and a v e r a g e i n c o n e of a l l worker o r income r e c , I

u. e u r o u p s , i t i s p o s s i b l e t o d e r i v e t h e t o t a l n u r b e r of hous

a v u r a g c income i n e ach househo ld c a t e g o r y . The d e r i v a t i o - -

t

.I i r c l n t f o n s h i p i s g i v e n below.

1C * D e f i n e t h e f o l l o w i n g m a t r i c e s : e II

-.--r--

I H = m a t r i x s u c h t h a t H is t h e s h a r e of " o t h e r i l

of c a t e g o r y J i n h o u s e h o l d c a r e g o r y I . Nocel t h a t

Page 19: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

n - c o l u ~ l r . v e c t o r such t h a t n 4 i s t h e a v e r a g e nucber of - " o t h e r s -o rkers" i n h o u s e h o l d s o f c a t e g o r y i .

I I

S = d i s g o n a l m a t r i x such t h a t S = ni and N = 0 , i i i j I I

v - c o l u n n v e c t o r s u c h t h a t w e q u a l s t h e a v e r a g e i i c o n e I I

of w o r k e r s i n c a t e g o r y I . ~ I

y - c o l u r ~ ~ q v e c t o r s s h t h a t y e q u a l s t h e a v e r a g e t d t a l i I

i n c o n e of h o u s e h o l d s i n c a t e g o r y i. ~

p - c o l u n n v e c t o r s u c h t h a t p is t h e t o t a l n u b e r o i

w o r k e r s i n o c c u p a t i o n a l c a t e g o r y I . I '

N o t e t h a t nlHii i s t h e number o f " o t h e r workers'! i n c a t e g o r y j i n I

h = c o l u n r ~ v e c t o r such t h a t h i s t h e t o t a l number i

l ~ o u a e h o l d I . The t o t a l income of a househo ld i s t h e sum of t h ( income

o f

~ of t h e h e a d and of t h e i n c o x e s o f , a l , l " o t h e r workers ." Thus: , k

I y - w + N H w I

m - - ?

I L I

0 r - - * II I

i (1) Y = Q w I

~ where ? = I + S H .

Qii i s t h e t o t a l n u a b e r of workers i n

c a t e g o r y j i n h o u s e h o l d i.

I I

I I

h o u s e h o l d s i n c a t e g o r y i. ~

Page 20: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

I t must be t r u e t h ~ t t o t a l household income be ~

S u b s t i t u t i n g from (1).

i d e n t i c a l l y e q u a l L O t o t a l 3 o r k e r i n c o n e . T h e r e f o r e (where

i n d i c a t e s t h e t r a n s 7 o s e ) :

S i n c e t h i s must be t r u e f o r any w , i t f o l l o w s t h a t :

( ' )

om su rvey d a t a a n d , g iven e q u a t i

( 4 ) we can e r a g e incomes and household nu

household c a t e g o r y .

Note t h a t t h e r e Ls no r e s t r i c t i o n on t h e s i g n of t h e e l e n e n t s

of Q-l and i& i s t h e o r e t i c a l l y p o s s i b l e t o have nega t i ve , e e a e n t s i n h C ( a l t h o u g h i t d i d n o t happen i n p r a c t i c e ) . Th i s i m p l i e s t h t s o cany t

b- w workers of a. g iven c a t e g o r y a r e needed a s " o t h e r workers" h a t t h e . ? L

qousehold c a t e g o r y must g e n e r a t e such v o r k e r ~ e x n i h i l o by hav ing a - - 1 n e g a t i v e e n t r y . e

I

I Note a l s o t h a t , w h i l c we do no: e x p l i c i t l y t a k e i ccounc of

I r ! l f f e r enccs i n housenolcl s i z e and dependency r a t i o s , t h e y r e i x p i i c i t l : ; t i n c luded i n t h e pa r ame te r n , t h e a v e r a g e nuaber of " o t h e r 4 o r k e r s " i n

d i i f e r e i i [ household c a t e g o r i e s . 'This p a r a m e t e r , however , s s p e c i f i e d 1

Page 21: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

exogenous ly and does n o t v a r y o v e r t i z . e . The n o d e l a c c o u n t s f o r

t h e e c o n o x i c a l l y a c t i v e p o p u l a t i o n and f o r t h e nunber o f hou e h o l d s 1 r a t h e r than f o r t h e t o t a l p o p u l a t i o n .

.U.ipration :Icdel I I I I I ~

I n t h e o v e r a l l c o d e l , n i g r a t i o n i s a s s u r e d t o o c c u r I between I

p e r i o d s and i s t h u s c a l c u l a t e d iri t h e dynamic p a r t . ~ i ~ r a t i o i n i s

v i e v e d a s a d i s e q u i l i b r i u m a d j u s t a e n : p r o c z s s , a r e s p o n s e t o r u r a l -

I

of l a b o r hetveer: r u r a l and urban a r e a s and c a l c u l a t e s z i i g r a t i b n a s

u rban i n c o n e d i f f e r e n t i a l s . T h i s v iew of m i g r a t i o n c o n t r a s t s

I I

t h e movegent o f l a b o r r e q u i r e d t o a c h i e v e t h e e q u i l i b r i u m a l l k c a t i o n . 11

In b o t h a p p r o a c h e s , m i g r a t i o n i s a f u n c t ' - - of e x p e c t e d incom

w i t h

d i f f e r e n t i a l s . I n t e r m s of o u r model , one way t o ::ee t h e d i f I e r e n c e

i s t o n o t e t h a t a Har r i s- Todaro m i g r a t i o n f u n c t i o n would be i y c l u d e d

t h e Har r i s- Todaro a p p r o a c h which d e f i n e s a n e q u i l i b r i u n a l l o c t i o n a

i n tile w i t h i n- p e r i o d s t a t i c model w h i l e a d i s e q u i l i b r i u m a d j u t a e n t I n o d e l i s r e c u r s i v e i n t i m e and f i t s n a t u r a l l y a s a subnode l i d t h e

I

I

In o u r mode l , t h e r e a r e t h r e e r u r a l g roups which a r e I

p o t e n t l a 1 s o u r c e s of m i g r a n t s : l a n d l e s s l a b o r and f a r n e r s i n ( t h e

t u o a n a l l e s t s i z e c a t e g o r i e s . F a r a e r s i n t h e two l a r g e r s i z e ~ ; + t e g o r i e s ~E I I

a r c nssurncd no t t o m i g r a t e . There a r e t h r e e urSan g r o u p s v h i d h a r e

p o t e n t i a l r e c i p i e n t s of n i g r o n t s : a p ? r e n t i c e s , u n s k i l l e d l a b o r and I

s i i L ? c d l a b o r . I n a d d i t i o n , t h e r e i s i z p l i c i t novezen t of a i g ( r a n t s I

i n t o t h e s e l f - e ~ ~ p l o y e d c a t e a o r i e s s i n c c t h e =ode1 i n c l u d e s a d e c h a n i s n I I

f o r aove5er. t by :he s e l f - e q l o y e d . In e f f e c t , t h e r e i s a s e p a l r a t e

I

Page 22: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

a,

-b

N

u

d

a,

m~

c

4

0

a U

-4

b

U

(d

L

!-a l

ua

u

r; c:

- U

P

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ur

::

Page 23: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

a d j u s e e d a s a f u n c t i o n of :he i n c o z e d i f f e r e n t i a l s aaong u rban g r o u p s .

Thus ;in u rban g rou? w i t h a r e l a t i v e l y h i g h e r a v e r a g e i n c o z e w i l l ,

r e c e i v e a l a r g e r s h a r e of t h e m i g r a n t s t h a n i t s c u r r e n t p o p h l a t i o n -

s h a r e . I

FTnen ~ i g r a n t s l e a v e t h e i r f a r m s , t h e i r l a n d i s a s $ m e d t o

b e t a k e n o v e r by f a r r i e r s i n t h e t v o l a r g e r f a n s i z e s . hi$ i s done

by a d j u s t i n g t h e l a n d i n p u t which i s i n c l u d e d i n t h e a g r i c u i r l , ; a l

p r o d u c t i o n f u n c t i o n s . The l a n d i s d i s t r i b u t e d t o t h e two la rger Earn I

s i r e s i n p r o p o r t i o n t o t h e i r c u r r e n t l a n d h o l d i n g s . Thus n l g r a t i o n

Ln t h e model changes t h e s i z e s t r u c t u r e of l a n d h o l d i n g s i n t h e

a g r i c u l t u r a l s e c t o r i n f a v o r of l a r g e r f a r m s . S i n c e t h e l a i g e r

f a r m s , e s p e c i a l l y t h e n e x t - t o - l a r g e s t , a r e more e f f i c i e n t t q a n t h e I

s m a l l e r f a r m s , m i g r a t i o n l e a d s t o some e f f i c i e n c y g a i n s i n t h e I

a g r i c u l t u r a l s e c t o r s . I I

Labor F a r c e Growth and C o ~ ~ p o s i t i o n - -

The a g g r e g a t e growth of t h e l a b o r f o r c e i s s p e c i f i l e d I

L . I l

exogenous ly i n t h e x o d e l , f o r t h e b a s e r u n r e p o r t e d be low, ' t h e I

I n g F r e g a t e r a t e s f o r t h e r u r a l and u rban s e c t o r s a r e c o n s t a n t f o r - - I

I

t h c e n t i r e p e r i o d and a r e s e t a t 2 .8 p e r c e n t ' % y e a r f o r t h e b r b a n

- - I groups and 3 . 0 percen: a y e a r f o r t h e r u r a l g o u p s . These r h t e s

? - I

a r e changed i n some of t h e e x p e r i m e n t s . The r a t e s a r e h i g h e r t h a n I

I

t h e r a t e of growth of popula;.:on i n Korea b e c a u s e , due t o a baby

boon i n :he 1 9 5 0 s , i n c r e a s i n g numbers a r e e n t e r i n g t h e l a b o r f o r c e .

Page 24: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

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Page 25: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

D a t a , ?!ode1 E s t i m a t i o n , aad V a l i d a t i o n

The d a t a b a s e i x Korea is unusua??y good and p l e n t i f u l .

Thc p r i m a r y d a t a s o u r c e s used I r e : n a t i o n a l a c c c u n t s , a n i n p u t -

o u t p u t t a b l e , a c a p i t a l c o e f f i c i e n t s t a b l e , t h e c e n s u s o f n a n u f a c t u r i ~ ~ ,

n s u r v e y of t h e e c o n o m i c a l l y a c t i v e p o p u l a t i o n , a popu la t [on c e n s u s ,

a s u r v e y of t h e f i n a n c i a l s t a t u s o f f i r n s , and a s p e c i a l h o u s e h o l d

e x p e n d i t u r e s u r v e y which a l s o s p e c i f i e d t h e eaployi?,ent s t h t u s of I

e v e r y h o u s e h o l d menber . A d d i t i o n a l s p e c i a l i z s t i da:a s e t s l e m p l o y e d

a r e : Earn management i n f o r m a t i o n , r e t a i l and w h o l e s a l e t t a d e c e n s u s ,

t a x d a t a , f l o w of f u n d s d a t a , and a w o r l d- p r i c e s u r v e y .

The b u l k o f t h e d a t a work c o n s i s t e d o f r e c q n c i l i n g t h s

i n f o r a n t i o n from v a r i o u s s o u r c e s and y e a r s i n t o a m u t u a l l y con-

s i s t e n t s o c i a l a c c o u n t i n g framework. The p r i n c i p l e f o l l o 4 e d was

t o t i c a l l t h e f l o w s t o t h e i n p u t - o u t p u t t o t a l s f o r 1 9 6 8 , r e c o n c i l e

t h e n w i t h t h e n a t i o n a l a c c o u n t s f o r 1 9 6 8 , and u s e o t h e r scjurces t o

I * b r e a k down t h e r e l e v a n t t o t a l s by f i r 3 s i z e , l a b o r c a t e g o ~ i e s , house -

I

h o l d t y p e s , e t c . h!ost of t h e d a t a r e f e r t o 1 9 6 8 , b u t son4 of t h e

s p e c i a l i z e d s o u r c l s were f o r o t h e r y e a r s ( m o s t l y 1970 o r l s 7 2 j . - I

Yes t of t h e p a r a m e t e r s o f t h e m o d e l i d e r e e s tirra tied f r o n I

he c r o s s - s e c t i o n a l i n f o r i i a t i o n u n d e r l y i n g t h e d a t a b a s e . L ' sua i ly

t h e y v r e r a t i o s o r a v e r a g e s s c a l e d t o y i e l d t h e r e c o n c i l e d t o t a l s .

The ~ a j o r e c o n o n e t r i c e f f o r t y a s i n t h e d e r i v a t i c n of t h e p r i c e a n d

I n c o a e e l a s t i c e s p e a d i t u r e f u n c t i o n s by e a c h of o a r f i f t e e n !:ousehold

Page 26: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

ce :egor i - . s 2nd 39 s e c t o r s . ' .A- t tezs t s t o e s t i r n e c e ;he p r c d u c z i c n

- . ,* :,..ctL:r. ;.ars:.rt?rs frcz t L x z ~ t 3 r i e s o r ; T C S S ;:.---s~ 1 2 : ~ ;.z: - - '-I* .:

. .

. - . , . - - -?- 3;"a'- -'- .-... , ... . ~ . . . a o I th.2 ix~) E L e r r t i c 2-c 1 : )dscs i j l e y s s ' . : ~ = s

cstir.a:sZ ? i r e c : l y : roc 1965 f a c t o r s3.zre d z r e , al.2 t e s t e d 5:: f s r s - I

. - z r ens 1z-21 o f disaggregation ( L f i r n s i z e s ~ c d

f a r :he :.cdsl; t:q2 ?roduc~icn f c n c ~ i c n p a r a z e : e r s

I

:as:irg 2x2 c o z ? a r i n g t h e r 2 i u l : i x i r h 1 9 7 0 :-!I i? 7 ~ s :

-

29 s e c t o r s ) r e q u i r e ?

u s e d L - Y ~ E t h ~ r z f o r ~

. . ecancz;.--:.;~:e ~ l a n n i n g :cde1s, t h e z a j o r e f f c r t lay I n

teri7;ir.g a c s n s i s r e n t d a t a b a r e . Cncc t h i s -.;as a~cs : .? l i . sheC i'i

es t i z a t L c n p r o c e s s i t s e l f 742s r e l a t i v e l y e a s y .

-. I 1r.2 n o d e l v a l i d a c s d by c o x p a r i n g :?I a c d e l s o l ! l t i o n s 1 Fsr t i 2 ~ ? Z c g i n o u s v a r i z 5 l i i -it>. ; ; u a l d 2 ~ 2 E s r l C S S , 1970 a : ~ d 19;2

The r e s : : l r s nz ree e:.:tre~.el;: -.%-ell. ? ~ r 1 9 6 8 , 95 ? r c e n t o f ';ke n o r e

t t h a n 3000 e n d o g ~ n o u s v a r i a j l e ; a r e :;ithi11 t:;o p e r er,cage p o i n t s a f

i' L : ~ z c?ct.-a1 s o l u t i o n . ? o r 1970 an2 1973, l e s s c o n ? ? - r i s s n s

ere ; c < s ! b l ? , 5 i n c e l e s s c c z ? l e ; e d a t a s e t s :%,ere n * . r a + - i n b l e for t h e s e

Page 27: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

Set-*.e?n 1 9 6 8 and 1 9 7 2 v h i c h i s c o n d i t i o n a l upon t h e p a r t i c u l a r c h o i c e

of z x ? c r t g r o w t h , i x p o r t s u b s t i t u t i o n , l a b o r f o r c e g r o w t h , e x p e c t a t i o n s ,

c r e d i t , t a x a n d t r a d e ? o l i c y r e g i a e s , and m i g r a t i o n f u n c t i o n p a r a z e t e r s .

- 3 a s i c Yode l D p a a i c s

The b a s i c d>-namic r u n w h i c h i s u s e d a s a r e f e r e n c e p o i n t

i n th2 e x p e r i r - e n t s , a s s u m e s c o n t i n u a t i o n of t h e Korean outwaqd-

l o o k i n g s t r a t e g y af e x p o r t o r i e n t e d , l a b o u r - i n t e n s i v e i n d u s t d i a l i z a t i o n

and g r o w t h . The mode l r e p r o d u c e s t h e a c t u a l d i p t h e Korean q c o n o ~ y

u n d e r w e n t i n t h e p e r i c a I970 t o 1 9 7 2 . I n t h e l a t t e r p e r i o d s * t h e

economy t u r n s a r o u n d : t h e r a t e o f i n f l a t i o n d e c l i n e s , t h e b a l a n c e I

o f p a y n e n t a i m p r o v e s a d : ! e g r o w t h r a t e o f GDP g r a d u a l l y i n ~ r e a s e s .

I n c o n t r a s t :o t h e i m p r o v i n g a g g r e g a t e economic p e ? f o r m a n c e , I

I t h e d e c i l e d i s t r i b u t i o n o f r e a l h o u s e h o l d income d e t e r i o r a t e s ; t h r o u g h

I I

i t i n e i n t h e b a s i c r u n st a s l o w b u t s t e a d y r a t e . The d e t e r i o ~ r a ~ i o n I I

i n d i s t r i b u t i o n l e a d s t o a s u b s t a n t i a l l y l o w e r r a t e of g r o w t d o f

a b s o l u t e incomes ir , t h e i o w e s t qu . ' . n t i l e t h a n i n t h e u p p e r d e c l i l e . i i Thus t h e r i c h g a i n over-ihelmingly more t h a n t h e ppor f rom h i g ~ h a v e r a g e , * 1 i growth r a t e s , b o t h r e l a t i v e l y and a b s o l u t e l y . Even s o , t h e r ' i s e i n i I

I t t h o a b s o l u t e incomes o f t h e poores tZ q u i n t i l e l e a d s t o a d ra ina : t i c r e d u c t i o n

' i ri

i n t h e p e r c e n t a g e of h c u s e h o l d s w i t h i n c o n e s be low a f i x e d a b k o l u t e c. - - L p o v e r t y l e v e l i n l a r g e p a r t d u e t o T h e d e c l i n e i;l t h e a g r i c u l i t u r a l I

: e r a s o f t r a d e a f t e r i z p o r t s u b s t i t u t i o n p o s s i b i l i t i e s i n g r a t n s a r e

e x h a u s t e d . T h i s d e c l i n e i s due a l a o s t e n t i r e l y t c c h a n g e s i n t h e

s t r u c t u r e o f demand. As c a n b e s e e n froin T a b l e 2 , t h e s h a r e o f

Page 28: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

. . sg::c-~i:crc i n t a ; a l ou:?u: iz :5e j a s i c r u ~ d e c l i z e s ove r ~ 5 x 2 . I -. . - . . .ne i z r z n c ; o r a z r : c $ ~ ~ : x r a l s n z d ~ c 1 2 3 r l ; ~ d2cl:-ss ev22 a s r s r , f I

, . - . ei;c~ti~!;y f a r i h r e e r e a s o n s . :::E:, :he i - c c r e e las : i{ iEy o f

I i2--- ..c2.,d f c r a ~ r i c u l : l ~ r t ; ~ o o d s I s fui:z s ~ a l l f o r ; r i - * u a l ;. 211

m.

- - i t h 2 ~ r c z ? s , : n u s , as i x c o z s s r i s e , :3s dezazd f o r z g r i c

I

s n , ? ~ ? (and I n c c z e 2lzs:FcL:y) 13 I c v e r . I5iri, z f a r + : < ~ - a-t c;-

--.- . . ,>d ing of s k i l i s zoVJes p e o 7 l s ox: o f g r o u z s z i t i ~ r e l a r i - ~

I- cc : ? sxzp t i on s h a r e s o f , a f l l izcozie e l a s t i c i t i e s o f dezand k o r ,

3 g r i c u l t u r a l goods and i n t o g r c c ? s vi:k l o x e r s h z r e s and e3a-a d I

e: .asr:c: t les. As a r e s u l t , a i r e r :he t a r n s of t r a d e s t2r t d e c l i n i x ~ , I

r u r a l i n c o a e s r i s e l e s s r a p i 1 1 ; ~ t h a t crSz~. i z c o r e s z n d , by ct2 e2C

~ o f t i e p e r i o d , t h e c ~ i e r * h e i n i n g n a j o r i t ; ; of t t e poor a r e . 2gric:l:xr2

I

a:;d :i,c a a j o r i i y of r s r a i househo ld s a r e ?tor.

Thus , :he o - ~ e r s l l ? e r foz , a : ce oE econoxy i s - ' Y ...,.. 2 . C;: C , I

Page 29: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

i n e x p e r i x e n t s 1 and 2 , T--e v z i i e d he n i g r a t i o n e l a

. - i n o r d e r t o e x p l o r e t h e 3::3c:s of diffsrent r a t e s and degree

r e s p o n s i v e n e s s of s i 3 r a : i c n c;r. che z c o ~ o a y . I n e x s r r i s e n t 1, t h e I

s i g r a t l c n e l a s t i c i t y v a s s e t t o z e r o t h u s e l i x i n a i i 2 g a l l r u r j l - I

urban m i g r a t i o n . In e q e r i x z n t 2 , t h e e l a s t i c i t y rras doubled : r o o

t h e b a s i c run (0 .30 c o a ? a r e l t o 0 . 1 5 ) . The r e s u l t s a r e p r e s e d t e d

i n Ta 'J les 1 t ) 3.

R e s u l t s I ~

X i g r a t i o n h a s se*:eral e f f e c t s on p r c d u c t l c n p a t t e r n s ~ , dexand I I

p a t t e r n s and p r i c e s . i n ?reduction, i t adds t o urbax s u p p l i e d and sub- I

t r a c t s from i u r ; , l ones t he reby s h i f t i n g t h e c e r r s of t r a d e i n f a v o r I

@ of f a r z e r s sin,ce ~ g r i c u 1 : u r a l goods becone r e l a t i v e l y

On t h e denand s l d e , a ig ra : l cn tra:.sforzs r u r a l

ones t h e r e b y r educ ing the r e l a t i v e dexa:d f o r

s i z i e urban c c c s u r e r s ha-re i c v e r icccme d z s t i c i t i e s of deczzd i o r

E I a g r i c u l t u r a l goods axd a l s o s ~ e n d a l o v e r ~ s h a r e of t :?eir izcod,e on

I I

t h e z . The change i n re la t i - :e d e ~ z n d I c e t o - ' - - a b ' ,..-,& --on *..-ill t h J s ,.,-,~r:-: I

I o f t r r l d e . The u l c i ; ; . ~ : ~ ir .zac: o f x i g r a r t s ~ . 2: :he : e r ~ . s cf t ? z t e

- . I d e p e n d s 02 t h e r e l a t i v e =g:.it.;des o: tze :--.a e i f e c z i . C u r

Page 30: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

0 h N ClO 0 -1 C J o\ 4 4 4 4 -4

Page 31: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson
Page 32: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

U r J L i U 4 Q 2- ' i 2 Ld

U 2 L O - d V ) c r 3 L U - c to COU U < L O 6

C, 0

" 2 ," C O O L a 3t CJ 5 U L >

0 C as-,! a2 a - V: O c l U - 3 I -

Page 33: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

- - c x ~ e r i z e n t s i a g e n e r a l i n l l c a : a :>a= t h s p r c d u c t i c n e z r e c : ? re -

d o a i n n t e s a c d t h 3 t t h z r e f ~ r ~ ~ 1 1 3 r z : i ~ a t s n d s t o r a i s e t h s a g r i c I

r.;ll ::lr;ll terns u f t r a d e 2-6 r z r a l i ~ c a c e s .

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n e a t l y k r a c k e t t h e r e s u l t s f r o n t h e b a s i c r u n . The ' n i g h e r t h e

n i g r a t i o c r a t e t h e h i g h s r i s a g g r e 3 a t a o u t ? u t axd n a t i o ~ - a l inc z e , 1 T h c i n c ~ e tifferential 5e:xeen u r 5 a n ~ c r k e r s ( t h e c a t e g o r i e s r e

a p p r e n t i c e s , s k i l l e d x o r k e r s and u z s k i l l e d z c r k s r s ) and t h e 70 r e r

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of i n c o n e and t o r e d u c t t o z s I n t h e e x t e n t o f p o v e r t y . b i n t h e n e a r t e r x -- w i t h i n f i v e y e a r s -- v a r i a t i o n s n i

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:he l e v e l o f p o v e r t y . ib .e s h a r e o f h o u s e h o l d s below i h e ? o v e r

l i n e i n y e a r 5 i s w i t h i n a p e r c e n t a g e p o i n t of t h e b a s i c r u n v

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i d e a t i c a i a n d t h e 0 7 / e r a l : , ea r , i n c o x e s d i f f e r ,+OZ t h e & s i c

b v 1 ~ 4 s t h ~ n 1 p e r c e n t . S e c a u s ~ t h e r e s u l t s a r e q u a l i t a ~ i v e l ; ~ ~

s i a i l a r , v e have n o t r e F c r t e d :he f i g u r e s f g r i n t e r - e d i a t e yea s C

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Page 34: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

r u r n i g r c u p s ) r a z z e s f r o a 180 p e r c e n t w i t h no z l g r a t i o n t o 109

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F-k ,.,,, ..- :he a i ; r an : s a r e . i- E a c r , ~ e z l t t e d t o f i n d en? layc len t iz :he

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l a b o r were lowered by I p e r c e n t a g e p o i n t . I n e x p e r i z e n t 4 , hey ii = e r e 5 0 t h r a i s e d by 1 7 e r c e n t a g e p o i n t . The a a g r e g a t e grov:d r a c e r

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1iai ;s t o e f f e c t s f r o 3 - , r e a o d e r a t e c h a n g e s i n t h e s a n e d i r e c t i o n s .

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l o n g e r r u n r e s u l t s . T h e r e f o r e , we w i l l d i s c u s s o n l y t h k r e s u l t s f o r

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p r o d u c t i o n s t r u c t u r e , b u t o n e e x p e c t s p r i c e a n d wage a d j l u s t m e n t s I

as w e l l . 3 0 t h q u a n t i t y a n d p r i c e a d j u s t m e n t s a r e e v i d e t i n t h e n I

r e s u l t s . I I

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t h e a g r i c u l t u r a l a n d n o n - a g r i c u l t u r a l s e c t o r s is h i g h e r . T h e r e is I I

nn a D p a r e n t e l a s t i c i t y o f 0 .2 f o r a g g r e g a t e o u t p u t growtih w i t h

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. ~ g r i c u l t u r a l s e c t o r s . H i g h e r r a t e s of l a b o r f o r c e g r o w t i n c r e a s e - P

d e n a n d . The i n c r e a s e i n t h e s h a r e o f g r i c u l t u r e i n demknd, h o w e v e r , e l

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Page 37: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

d e s a c d a l s o

r e f l e c t d i f f e r e n c e s $ 3 z . i 3 r a t i o n r a t e s b e t v e e n t h e t - ~ c e q e r i z e n t s .

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- e n t i r e p e r i o d . ;he h i j k e r s i g r a t i o n v i t h l o w e r p o p u l a t i o n $ r o v t h

v a s d u e :o "pus:?" f a c t o r s ; n a z e l y , a x i d e ~ ~ i n g gaT be tveer . rhral

and u r b i n 5 a c o ~ e s . T>is i n c r e a s e 2 x i g r a t i c a v a s n o t , h o v e v e r , I

enough L O o f f s e : t h e d e c l i n i n ~ t e r m of t r a d e i n t h e I c v g r

e v e r i a e n t . 3y yea; 9 , :he u r b a n - r u r a l i n c o z e r a t i o i s 356

:he l o v g r c v r h e ~ e r i z e x t c o c ? a r e d t o 1 4 4 f o r e x ~ e r i z e n t 4

f o r t h e b a s i c r u n . The r a p i d d e c l i n e i~ t h e t e n s o f t r a d e c a u s e s I

a g r i c u l t u r a l inco-,es t o f a l l f a ~ t e r t h z n can b e o f f s e : by n _ i g r a t i o n . I

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r u r a l i n c o c e s r i s e s u b s t a n t i a l l y . ~ I n t e r z s o f :he r e l a t i v e income d i s t r i b u t i o n , zor i / r a p i d

l a b o r 3 r a w t h l e a d s t o a = o r e e q u a l d i s t r i b u t i o n . The G i n i 4 o e f f i c i e n t s

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g r o v t h e x p e r i ~ e n i s r e s ? e c L i 9 i e l j . . I n b e r m of : e m i x c o c e s , h i a h I

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f o r t h e r i c h e s t q u i z t i l e . However, z c d e r a t e l a b o r f o r c e E r v t n a s .; C

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m p o o r e s t q u i z t i l e a s inw t h e h i p 5 gro1it:7 e q e r i z e n t and a i s o ;Pielcis I

h i g h e r ,can :nce;-,e f o r t h e r i c h e s : q u i z : i l e a z d f o r :he o v e t a l l

a v e r f l q e , T h u s , i n :er:s sf t 3 e ? z r c t a c r i ~ e t i o n , = c d e r a t ~ grr--:h i~

- - ~ r c f e r r e d t e h i g h later g r c z c h . :: one has s g a l i : a r i ; n v ; l$es , =oders:e

. , q u f z t i i e and y F 2 L d s :?e l e a s c 3vers,, ?over:? cf :he ::-,rze x;+?rl=e;.:3. 4 I

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Cnbalanced Labor Growth

I n e x p e r i z e a t s 5 and 6 , t h e a g g r e g a t e r a t e of growth o f t h e l a b o r

f o r c e i s l o v e r e d uneven ly . I n e q e r i a e n t 5 , t h e r a t e of g rowth of

t h e a g r i c u l t u r a l l a b o r f o r c e i s lowered by 1 p e r c e n t a g e p o i n t , w i t h

:he urban g rowth r a t e unchanged. I n e x p e r i x e n t 6 , t h e urban growth

r a t e i s lowered by 1 p e r c e n t a g e p o i n t i n s t e a d . The growth r a t e s i n

t h e b a s i c run a r e 2 .8 and 3.0 p e r c e n t a yaar f o r urban and r u r a l

l a b o r r e s p e c t i v e l y .

x€2sul ts ----

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p r a c t i c i n g t h a t l i m i t a t i o n , and t o t h e d e t r i n e n t of o t h e r s e c t o r s .

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xtiose l a b o r f o r c e f a l l s r e l a t i v e l y . The s e c t o r whose l a b o r f o r c e

c l r o p s p roduces l e s s , t h e r e b y r a i s i n g t h e r e l a t i v e p r i c e s of i t s p r o d u c t s

a i ~ d , u l t i m a t e l y , r a i s i n g i t s income. T h i s l a s t r e s u l t *depends cn :k.e

c n ~ p l r i c c l l Fact t h a t t h e r e d u c t i o n i n t h e l a j o r f o r c e of a s e c t o r

r e d u c e s t h e s u p p l y of t h e s e c t o r ' s o u t p u t n o r e t h a n i t . r e d u c e s d e m n d

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clxperfment 5 conpared t o 49 i n exper imeht 6 and 83 i n t h e b a s i c r u n .

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r r i r a l i c c o n e s i n y e a r 9 by 9 p e r c e n t o v e r t h e i r b a s i c run v a l u e s and

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,,,,,.,. q u i ~ . t i l e . I: r e d u c e s u r b a n 7over:jt as Zen: f z c c z e o f thi? '-1"-

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a f i 6 C t h o u s s n ? z i g r a t e c o z 7 a r e d t o 632 t h o u s z n l i n t h e b a d i c r u n

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t h e S ? ~ O S L : ~ e f f ~ c : z n t is - o r e e x t r e a e i n i t s i z ? a c t . I t r a i s e s

u r 5 a n i n c o z e s by a3ou: 3 0 F e r c e a t c = z ? a r z d t o t h e b a s i c rud a d I

r e d u c e s r u r a l i z c o z e s by a l a o s c 4 0 F e r c e n t . It a l s o r s s u i r l s ir~ I I

i n c r e a s e d : c t a l ? o v s r z y and l o v e r s :he i n c o n e of t h e bot:cd q u i n t i l e . I I

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u z 5 a l a c c e d change i n l a 3 o r f o r c ? g r c w t 5 . Y A g r a t i o n was c o r ~ e

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s l i g h t l y c c c p a r e d t o t h e b a s i c r u 3 a n d g r e a 5 l y c o q a r e d t o e.qerFzerAt I

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v e r y h i g h , almos: as h i g h as i n t h e h i g h m i g r a t i o n experi :ekt , b u t

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i: s t i l l d i d n o t s u f f i c e t o o f f s e t :he e f f e c t s o f t h e l o v e r ~ e d u r b a n

l a b o r f o r c e g r o v c t h . I

I I I

The :-GO e x ? s r i z e n t s h a v e o n l y l i t t l e e f f e c t on c - r l e ra l l

I e c o n c x i c 2erforzance. Cozpared ts t h e S a s i c r u n , n a t i o n a l i n c o z e - - I

.. l

and g r a s s o u t ? u t a r e b c t b s l i g h t l y h i g h e r i n e x p e r i - e n t 5 a b l l c v e r

t o L p e r c e n : b y y e a r 9 . T h e r e a r e a i s o s m l l c h t n g e s i a thk I

structure cl e g g r e g a t e c o n s u z ? t i c n and c c c h

d i s t r i3u: i -n o f nacio~al i n c o c e ( r e f l e c t i n g

l a r g e r changss i n = h e

Page 40: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

I n t e r n s of t h 2 d i s t r i b u t i o n of i n c o ~ e , e x ~ e r i a e n t 5 i s

auch c l o s e r t o t h e b a s i c run t h a n i s ex?erii?,ent 6 . The r e a s o n i s I

t h a t i n e x p e r i m e n t 5 , n i q r a t i o n i s a zoi-4 effective q u a n t i t y a d j u s r -

c e n t r e c h a n i s x and s u c c e s s f u l l y o f f s e t s a o s t of f h e e f f e c t s of tSc I

u-balanced l a b o r f o r c e g rowth . I n e x p e r i m e n t 6, / e v e n v e r y l a r g r c o u n t e r a c t I

n i g r a t i o n does n o t s u f f i c e t o / t h e d e t e r i o r a d i n g t e n s cf t r a d e . I

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Our l z h r f o r c e g rowth e x p e r i ~ e n t s c c x 5 i n e p o p u l a t i o a

cf f e c t s ~ i t h t h e i r i z d u c e d d g r a t i o n r e s p o n s e s . ! J h i l e g x t r e z e Fa

n a g n i t u d e , t h e y cezd t o b r a c k e t t h e r e s u l t s one n i g h t e*pect f r o n

c n p t r i c a l l y more l i k e l y e x p e r i z i e n t s i n t h e sarce d i r e c t i s n s . The

e x p e r i z e n t s i n d i c a t e t h a t i f one h a s m o d e r a ~ e l y e g a l i t a d i a n v a l c e s ,

t h e n o n e x o u i d p r c f e r a modera te r a t e of l a b o r f o r c e grolwth o v e r

b o t h s u c h s l o w e r and xuch f a s t e r r a t e s . I n g e n e r a l , h i lgher r a t e s

o f l a b o r f o r c e g r o v t h t end t o f q v o r t h e poor and ;rake t h e d i s t r i -

b u t i o n of i n c o n e a o r e equ:l -- a r e s u l t t h a t a u s t be s e t a g a i n s t t h e I

u s u a l a rguments n a d e f o r s l o w e r p o p u l a t i o n growth.

S i n c e o u r p o p u l a t i o n e x p e r i m e n t s a r e ex t reme i h magni tude ,

t h e y o v e r s t a t e t h e e f f e c t s o n e c o u l d e x p e c t i n t h e r e a l G o r l d f rom

p o p u l a t i o n p o l i c y . The f a v o r a b l e n e d i m run e f f e c t s fouird f o r n o d e r a t e I

r a t e s of l a b o r f o r c e g rowth i n t h e model a r e t h e r e s u l t {f h a v i n g I

removed o n l y one of t h e a n i t - n a t a l i s t b i a s e s b u i l t i n t o niost e c o n o n i c -

demographic models : :hat a g g r e g a t e d e m n d i s i n d e p e n d e n t of t h e

r a t e of p o p u l a t i o n g rowth . S i n c e t h e demographic t y a n s i t ; i o n is I I

L i k e l y t o s t a r t irr u rban a r e a s , t h e arguments f o r coderat ie r a t e s

o f Labor f o r c e growth a r e r e i n f o r c e d by c o n s i d e r i n g t h e r L s u l r s of

t h e c x p e r i z e n t s l i x i t i n g t h e r a t e o < g r o v t h of t h e urban habor f o r c e . I

L l n i t a t i o n s on r u r a l - u r b a n n i g r a t i o R o r o t h e r l i m i t s :o t h e g r o w t h

of the rirban p o p u l a t i o n a l o n e t e n d t o i n c r e a s e o v e r a l i poker:p

( p a r t l y by i n c r e a s i n g r u r a l p o v e r t y ) and t o make t h e o v e r a l l d i s ~ r i -

b u t i o n c o r e u n e q u a l , e- en i n t h e n e d i u a t e r n .

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v e r s i o x x e d k e r e is ts a d a ? c a c i c x o f t h e =ole: c s e d :A 45.2 bcok I

vi:h a cuxber cf = i n o r ~ c d i f i ~ a t i c ~ s a-d a -o r2 s o p h i s t i ~ a r s d zc ie l

2 . For a l e s c r ? ? r i o n of L??! and ? : : I , see Q~iz i l ( 1 9 7 5 ) . hi( T Z C O I

z o d e l s a r e s u r v e y 2 6 ix 3rs--3 (1974) and 3.i.CXLY i s d s s c r i q e d iz ~ R c d g e r s , Ec?Xir.s and ;;Sr:.r ( 1 9 7 7 ) . O r h e r e x a q l e s a r e ~ i J o n (1976) 1 a n d . o f C O Z ~ S ~ , Cse le 2x6 A O O - ~ e r (1958) . 1

I I

I

3 . For a d i s c u s s i o n o f szze o f t 5 e e z i ? i r i c a i v o r k , s e e S i ~ o n ( 1 9 7 6 ) . I I

4 . S e e S . K u z n e t s ( 1 9 6 6 ) . I

I I I I I

5 . S e e , f o r e x a n p l e , .A. ?. i h i r l u a l l (1972) and A d e l m a ( 1 9 6 3 ) . I I

See S i ~ ~ o n ( 1 9 7 5 ) . I I I

I I

I

Tor a d i s c u s s i o n o f :his g e n e r a i a ~ ~ r o a c h t o d;;nanic z o d e l s , I

especialiy l o z g r u n r .ocie?~, see X o 5 i n s c c ( 1 9 7 6 a ) . I i I

I

- : ,.: a c g z p l e t e d e s c r i g c i o r , of t h e t e c h n i q u e , s e e 3 o b i n s o n ( 1 9 7 6 5 ) .

I

I

The a l q o r i t h a u s u a l l y r e q n i r e d f i 0 3 1 0 t o 20 p r i c e i t e r a t k ~ n s ' a r ~ d B

f rom 1 5 t o 25 vage i t e r a t i c a s ?e r ? r i c e i : e r e ; i o n . For a f u l l 1 "

d e s c r i p t i o n of o u r s o i c t i c n s:ra;egy r n l a scr-:ey of a t h e ?

a ? ? ~ o a c h c s , s e e Li.delzan as2 3.c5inson ( 1 9 7 7 ) .

Page 44: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

LO. '.de o b t a i n e d t h i s d a t a by Zeacs of a s p e c i a l s u r v e y appendzd

t o t h e Korean u r j a n household s u r v e y . Th2 s p e c i a l s l r v e Y Y ~ S

f i n a n c e d by t5e Zo r ld 3ank.

11. H a r r i s and Todaro (1970) .

I

2 . Ahxed (1974) hzs e s t i n a t e d a ~ d s o l v e d a CGE n o d e l f o i 3angl.adesh

i n c o r p o r a t i n g a Kar r i s -Todaro n i g r a t i o n model.

1 3 . Yean household ixcome i s h i g h e r , b u t n a i i o n a l income i s l o v e r

i s l o v e r 11 e q e r i a e n t 1 and t h e r e a r e d i f f e r e n c e s i n u n d i s t r i -

The d i f f e r e n c e i s d u e t o t h e f a c t t h a t t h e number of

bu ted p r o f i t s , government s a v i n g s , and t h e b a l a n c e o f i n ' e r n a t i o n a l I

h ouseho ld s

t r a d e .

Page 45: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

; ; lccre 3 i s : r i i u t i a ; ; ?31L;:: iz 2ee.~elc?i .?g C c c ; ~ : r i e s : X Case S : c l y

of K o r e a . S t z n f o r d : S: tn ford U n i - ~ e r s i ~ : J P ress (forthco3iZ3 1 9 7 7 ) .

-.

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1

{I Case S : : : d y of India's 3 r o s p e c t s . P r i i ~ c e t o n : P r i n c e t o r . Uxi

Cel lern1 Zlec:r:c C o q a n : ~ - T E I P O ( 1 9 7 4 ) .

C o a l e , 4 . J . and Z.U. Hoo-/er

P03uIation G r e h l h and E c o a o z i c C e v e l o ? m e n t i a Low Incocc - .-

P r e s s ( 1 9 5 3 ) .

C a u n t r i e s : -

H a r r i s , 5 . 3 . a n d X.?. T o d a r o - - , . .s " X i g r a c i c n , Lner; . ,?loy'zex~ axb r)evcio?r,ex: : X T;-o-Ser to r .LA:al:;

Page 46: World Bank Document · 2016. 7. 12. · Xfgration, Demographic Change and Income Distribution in a Xodel of a Developing Cauntry. Irma Adelman University of Maryland Sherman Robinson

" i n c o r , ~ D i s i r i h u t i o n x i c h i n G r o u p s , .k~,ong Groups and O v ~ r a 1: 1

a I .., . , : c ['ce of ti:e !,?.?'! 3-6 ?2?! I fode l s Ecr S t r c c t u r a l .k~al:;sqs azd

-1 T e c h n i q ~ ~ e ci ;inal::sis," P r i n c e t o n r c i v e r s i t y , R e s e a r c h ? I c g r a n , .

I, . . ;I~ , - ,*c l c p ~ e r ; ~ ''l,?nni::;, . ~ a s ! - , i n q ~ c n , 3 . C . : C . S . 3 i l r eau o f

( ~ * I I ~ ; I I S ( l Q 7 5 ) .

i : ~ ~ e ~ i e l o p - e i : : S t c d l e s , D i s c u s s i o n F a p e r :;o. 65 (Augus t 1 9 6 a ) . i

t 5 e

i c o n o n i c D e v e l o y c e c t ," h e r i c a n E C O ~ O ~ ~ C Review, V o l . 6 6 , lo. 2 ,

R o l l i 11sor-1 , S ,

I,... ~c,~..nrc!s zn Adirqllate Locg-Run >!ode1 of I n c o x e D i s t r i b u t i o n

( 1 0 7 6 h ) , p p . 122-26 .

and

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Rotlpcr.;, (;. 15. , Y..J . I ) . l i op i r in s , and R . 'n'ery

. tc:on<1nic:-9enon,ra?':lic - h i o d e l l i n ~ f o r D e v e l o p x e n t P l a n n i n g : - - - -

Z . 7 c . l l ~ 1 e -- ?h i l i p p i z e s . Gexeva: I .L.O ( f o r t h c o m i n g 1 9 7 7 ) .

!; i r ;~ 111 , , J .

"i'opu1n:ion G r o l ~ t h Yay 3 e Good f o r L D C ' s i n t h e Long Run: . I

Sf n111.7t i o n Yodcl ," 7:ononfc Developnen: and C u l t u r a l

- * .h i r l g < r ~ l l , ,1.I1.

1 . ";i Cross -Sec : lon S t u d y of P o p u l a t i o n Growth a n d t h e G r c u t h o f

O l 1 t 7 i 1 t . ~ n c i Pe r C ~ ~ i t z i x c o n e i n a P r c d c c t i o n F u n c t i o n F r a z e v r k , " I?