Holukuluku's Sector Seven

(http://faculty.washington.edu/krumme/350/exercises/sector7.html)

Sector 7's Impact on Sector 1 Involving Two Links:

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

.15

.5

0

.2

0

.1

.05

0

.2

.1

0

.05

.05

.05

0

 

Multiplication of the row vector of sector one's forward linkages by the column vector for sector seven's backward linkages (regional input coefficients) results in:

=.05 x .15 + .5 x .2 + 0 x .1 + .2 x 0 + 0 x .05 + .1 x .05 + .05 x .05 + 0 x 0

=.0075 + .1 + .005 + .0025 = .1150

 

Sector 7's Round-By-Round Effects on Holukuluku's Economy
(i.e. Sectors 1-8)

Power Series Approximation: BP = I + A + A2 + A3 + A4 + A5 + A6 ......
[using hypothetical direct coefficient table (A), calculated for sector 7 only]

* Leontief Inverse BL = (I-A)-1

Ad

A2

A3

A4

A5

A6

SUM

+ I

* (I-A)-1

Sector

7

7

7

7

7

7

7

7

7

Diff.

1

.0500

.1150

.0390

.0166

.0095

.0049

.2349

.2349

.2403

.0054

2

.2000

.0220

.0044

.0054

.0024

.0011

.2353

.2353

.2365

.0012

3

.1000

.0230

.0059

.0042

.0023

.0011

.1365

.1365

.1378

.0013

4

.0000

.0400

.0289

.0149

.0083

.0045

.0967

.0967

.1019

.0052

5

.0500

.0475

.0333

.0182

.0098

.0053

.1640

.1640

.1700

.0060

6

.0500

.0195

.0143

.0078

.0041

.0022

.0979

.0979

.1003

.0024

7

.0500

.0155

.0256

.0105

.0047

.0026

.1088

1.109

1.112

.0029

8

.0000

.0225

.0178

.0123

.0069

.0037

.0631

.0631

.0674

.0043
Return to Input-Output Exercise || Geography 350
2001 [econgeog@u.washington.edu]