Multipliers and output models in regional economics
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Transcript Multipliers and output models in regional economics
Local & Regional Economics
Lecture 2a Multipliers & output models
Regional and Local Economics (RALE) 2010
– Lecture 2a
1
Local & Regional Economics
RALE - Lecture 2a
Last week: Introduction and profiling the local economy
This week: part a) Multipliers & output models
and part b) econometric models & input-output analysis
Aim
To understand how all or some of the economic activity in
a local economy is measured.
Objective
To be able to understand the multiplier concept
To be familiar with applications of multiplier analysis, its
strengths and weaknesses
To be aware of more sophisticated models of income
determination
Regional and Local Economics (RALE) 2010
– Lecture 2a
2
Local & Regional Economics
The Multiplier Concept Based on the idea that the
CUMULATIVE EFFECT of an injection is greater than
the INITIAL IMPACT. There are 4 Main effects
when a new business starts up
New
Business
starts up
1. Direct effect - Jobs &
output from the new plant
2. Indirect effect - via goods &
2
services directly purchased
by the new company
3. Induced effect –via the
household spending
Buys goods &
locally by staff of the new
services from
plant
other
4. Feedback loop - as
companies
companies in the supply chain
4
to the new business and
recipients of household
Regional
expenditures restock and
take and Local Economics (RALE) 2008
– Lecture 2a
on more staff
1
Pays wages
to staff
3
3
Local & Regional Economics
Export base multiplier
Very simplistic early model, domestic sector assumed to service the export sector
T=X+D
D = dX where d is a positive constant fraction
T = X + dX or T = (1+d)X
1+d is the multiplier and gives a figure greater than 1
If exports increase by 2 then T output change = 2+(0.25*2) = 2.5
Basic
(Exporting) 8
Non-basic
Multiplier
1.25
Domestic 2
Problems –
Does not include external non-export income (wages from abroad)
Sectors are not homogeneous (Production methods are different)
Trying to define what is “export” & what is “domestic” production
Increased output can be met in a variety of ways. (>productivity)
Regional and Local Economics (RALE) 2008
– Lecture 2a
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Local & Regional Economics
Keynesian Income Expenditure approach
Based on national income/expenditure accounting framework
Y = C + I0 + G0 + X0- M (Income, consumption and imports are regionally determined)
C = C0 + cDY
(Consumption partially dependent on regional disposable income)
M = M0 + mDY (Imports dependent on regional disposable income & prop to import)
DY = Y – tY
(Regional disposable income determined by the regional tax rate)
Y = k(C0+I0+G0+X0-M0)
k
1
1 1 t c m
The most important feature of the model is the
marginal propensity to consume locally produced
goods (c-m)
Problems – Size of region – Industry Mix - Location
Regional and Local Economics (RALE) 2008
– Lecture 2a
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Local & Regional Economics
Multiplier process an example
N aval B ase and
M aritim e D efen ce In n er C ore
M aritim e D efen ce O u ter C ore
O perational Staff
6,100 jobs
B+C
B ase H eritage A rea
250 jobs + 335,000
visitors
B ase P rim e & D ay
C ontractors
3,550 jobs
A+B+C
A+B+C
P ortsm outh B ased
Ships 7,300 crew
O ther T raining
B ases inc. F lagship
6,850 jobs
M oD Support
A gencies
A+B+C
A+B+C
2,350 jobs
1. The Portsmouth Naval
Base directly employs
in excess of 26,000
people, (70% live
within 20 miles of the
base).
B+C
V isiting W arships
18,500 crew
B
L ocal E xp en d itu res
n et of T ax & N I
£437.1m
Output
multiplier of
1.54
£326m - E xp end itu re in to local econ om y
L eakages
M ainly household purchases
out of the local area +
ex penditure tax es
£110.5m
A
P urchases from local
defence industrial base
& other suppliers
£70.0m
B
C
V isitor & tourist spending
in the local econom y
W ages spent as household
purchases in the local area
£215.7m
£40.9m
2. The value to the local
economy is around
£500million p.a. and
supports 38,000 jobs
overall.
3. The additional
multiplier impact is
12,000 additional jobs
+ £178m M u ltip lier effect from L ocal E con om y F orecastin g M od el
Source CLREA 2005
Regional and Local Economics (RALE) 2010
– Lecture 2a
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Local & Regional Economics
Use of Keynesian Model – Archibald (FES) Bleaney
(examined different groups mpc)
Extending the basic model making allowance for transfer
payments
Y
1
1 1 t c m g
C I G X M
0
0
0
0
0
Initalinjection
incr easingexpenditur e
n
io
th
t er egion
G o v e rn m e n t
L e a k a g e 1 .
Im p o rts n
i to e
r g o
i n
Su b s d
i ie s o n
a d d ito n a l
ta x e s o n a d d ito n a l
e x p e n d tu
i re
E x p e n d itu re
In c re a s e in g o
r s s re g io n a l
p ro d u c t(G R P :Wa
)
g e s s
, a a
l rie s ,
The multiplicand
Importance of 1st round
leakages - may be large
Examples: Dounreay and
Torness + Portsmouth NB
p ro fits ,re n t,in te re s t& d iv id e n d s
L e a k a g e 2 .
T a x e s o n a d d tio n a l
in c o m e n
, a io
t n a lin s u ra n c e
c o n trib u io
t n s ,re a
t in e d
I d ire c t& n
n
i d u c e d
e x p e n d tu
i re n
i th e
e a n
r in g s o firm s ,lo s s o f
u n e m p lo y m e n b
t e n e fit
re g io n
(fro m in c re a s e d e m p lo y m e n t)
In c re a s e in e
r g o
i n a l
d is p o s a b le n
i c o m e (R D I)
Regional and Local Economics (RALE) 2008
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Local & Regional Economics
Applications of regional multiplier analysis
Sinclair and Sutcliff
(1984) effects of tourist
expenditure in Malaga
(Spain).
Armstrong (1988)
multipliers resulting from
local economic
development initiatives
for different companies in
local authority areas.
Work by Luger and
Goldstein (1996) the
forward and backward
linkages of Universities.
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Regional and Local Economics (RALE) 2008
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Local & Regional Economics
Strengths & Weakness of Regional Multiplier Analysis
Strengths
They demonstrate that injections are a process rather than an
event
They identify the linkages between sectors
Weaknesses
They do not take capacity constraints into account
They fail to allow for interregional feedback effects
Time is assumed discrete rather than continuous.
They provide a very aggregated picture of the impact of
expenditure injections
The ability of the indigenous firms to supply inputs to
expanding firms
The role of money
Regional and Local Economics (RALE) 2008
– Lecture 2a
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Local & Regional Economics
A simple multi-regional model of income
determination
Weakness of single-region model - it does not account for
interregional feedback.
One region's imports are another's exports - therefore
income changes are transmitted inter-regionally.
Model features
Two regions (north and south)
no supply constraints, output determined by demand for
products and services.
Level of output dependant - demand own region, export
demand and change in (Y) of other region).
y y
n
s
y y
s
Regional and Local Economics (RALE) 2008
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n
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Local & Regional Economics
Two region model with BT function
y y
BT 0
yn
s
y
n
*
n
y y
n
y
a
A
s
y
n
s
C
y
B
s
y
y
*
s
n
y
n
ys
Regional and Local Economics (RALE) 2008
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Local & Regional Economics
Consequence of prolonged regional BoT
Deficit
Although flows of goods and payments are not recorded,
they exist and this has severe effects in the real
economy.
If region has a persistent BOT deficit this must be paid
for by one or a combination of the following:
Net income transfer into the region by Govt.
Residents running down savings.
Borrowing from the banking system
Selling assets to residents in other regions
Long or short-term inward investment to reduce
dependence on imports
Regional and Local Economics (RALE) 2008
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Local & Regional Economics
More Sophisticated Models
Demand-based model of income and employment
World income
Assumptions
Positive response to
external shocks.
Labour supply elastic
at current wage rates.
Spare capacity - output
increased without
increasing price
Regions are price
takers (wages are set
nationally)
Other regions
Demand for region’s output
Supply of output
Demand for labour
Regional employment
Regional income
External
Demand
Weakness of the model it Ignores the fact that an increase in
demand is likely to affect the price of factor inputs
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Local & Regional Economics
Demand-based model
with supply-side
World demand
Regional
income
Demand for
region’s goods
1. Supply side is endogenous as demand affects
the labour market and the supply of output to
meet regional and world demand.
2. Wage rate is determined within the region as
labour market tightens
3. Increased regional wage rates induces further
supply of labour (participation and migration)
4. Increased regional wage rates reduce
competitiveness (production costs )
Region’s
employment
Unemployment
Supply of
labour
Price of
region’s goods
Wage rate
Participation
rate
Competitiveness
of region
Net inward
migration
Regional and Local Economics (RALE) 2008
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Local & Regional Economics
Summary
Cumulative effect on a regional economy is always greater
than initial injection but Impact reduces in subsequent
rounds
Multiplier combination of Direct, Indirect and Induced
effects, there is also a feedback loop.
Keynesian Income Expenditure model is useful for deriving
overall regional multipliers. Importance of MPC – size,
industry mix, location – can be extended.
Importance of 1st round injections – applications,
universities, tourism, defence etc.
But there are clear weaknesses in the approach.
Multi-regional model shows the inter-connection between
regions, further developments have looked at the feedback
effect and the supply-side.
Next econometric models & input-output analysis
Regional and Local Economics (RALE) 2008
– Lecture 2a
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