1
Model Poland 74/1 (model KP-2)
Source: Maciejewski, Wojciech, Zajchowski, Jozef, Econometric model of the Polish
economy KP-2/B, Computer Research Center. Commission of Planning,
Warsaw, 1975, 20-69
1.
Employment Z
k
in the power and fuel industry
(1)
Z
1
= a
1,1
+ a
1,2
· A
1
+ a
1,3
· Z
1,t-1
in the electric engineering industry
(2)
Z
2
= a
2,1
+ a
2,2
· A
2
+ a
2,3
· Z
2,t-1
in the chemical industry
(3)
Z
3
= a
3,1
+ a
3,2
· A
3
+ a
3,3
· Z
3,t-1
in the light industry
(4)
Z
4
= a
4,1
+ a
4,2
· A
4
in the food processing industry
(5)
Z
5
= a
5,1
+ a
5,2
· A
5
+ a
5,3
· Z
5,t-1
n "remaining sectors", excluding agriculture
(6)
Z
21
= a
6,1
+ a
6,2
· A
21
+ a
6,3
· Z
21,t-1
in the "remaining sectors"
(7)
Z
18
≡
Z
21
+ Z
15
total in the productive sphere
(8)
Z
16
≡
Z
1
+ Z
2
+ Z
3
+ Z
4
+ Z
5
+ Z
18
in the non-productive sphere
(9)
Z
20
≡
Z
0
- Z
16
in the productive sphere excluding agriculture
(10) Z
22
≡
Z
16
- Z
15
2.
Fixed assets M
k
in the power and fuel industry
(11) M
1
= a
11,1
+ a
11,2
· I
1,t-1
+ a
11,3
· M
1,t-1
in the electric engineering industry
(12) M
2
= a
12,1
+ a
12,2
· I
2
w
+ a
12,3
· M
2,t-1
in the chemical industry
(13) M
3
= a
13,1
+ a
13,2
· I
3
w
+ a
13,3
· M
3,t-1
in the light industry
(14) M
4
= a
14,1
+ a
14,2
· I
4
w
+ a
14,3
· M
4,t-1
in the food processing industry
(15) M
5
= a
15,1
+ a
15,2
· I
5,t-1
+ a
15,3
· M
5,t-1
in total agriculture
(16) M
15
= a
16,1
+ a
16,2
· I
15
+ a
16,3
· M
15,t-1
in the non-productive sphere
(17) M
20
= a
17,1
+ a
17,2
· I
20,t-1
+ a
17,3
· M
20,t-1
in "remaining sectors" excluding agriculture
(18) M
21
= a
18,1
+ a
18,2
· I
18
+ a
18,3
· I
15
+ a
18,4
· M
21,t-1
in the "remaining sectors"
(19) M
18
≡
M
21
+ M
15
total in the productive sphere
(20) M
16
≡
M
1
+ M
2
+ M
3
+ M
4
+ M
5
+ M
18
2
in the productive sphere excluding agriculture
(21) M
22
≡
M
16
- M
15
in the national economy
(22) M
0
≡
M
16
+ M
20
3.
Investments I
k
Investment expenditures
In
in the power and fuel industry
(23) I
1
= a
23,1
+ a
23,2
·
α
1
+ a
23,3
· I
16
+ a
23,4
· I
18
in the electric engineering industry
(24) I
2
= a
24,1
+ a
24,2
·
α
2
+ a
24,3
· I
16
+ a
23,4
· I
18
in the chemical industry
(25) I
3
= a
25,1
+ a
25,2
·
α
3
+ a
25,3
· I
16
+ a
25,4
· I
18
in the light industry
(26) I
4
= a
26,1
+ a
26,2
·
α
4
+ a
26,3
· I
16
+ a
26,4
· I
18
in the food processing industry
(27) I
5
= a
27,1
+ a
27,2
·
α
5
+ a
27,3
· I
16
+ a
27,4
· I
18
in the electric engineering industry (weighted)
(28) I
2
w
= a
28,1
· I
2,t-4
+ a
28,2
· I
2,t-3
+ a
28,3
· I
2,t-2
+ a
28,4
· I
2,t-1
+ a
28,5
· I
2
in the chemical industry (weighted)
(29) I
3
w
= a
29,1
· I
3,t-4
+ a
29,2
· I
3,t-3
+ a
29,3
· I
3,t-2
+ a
29,4
· I
3,t-1
+ a
29,5
· I
3
in the light industry (weighted)
(30) I
4
w
= a
30,1
· I
4,t-3
+ a
30,2
· I
4,t-2
+ a
30,3
· I
4,t-1
+ a
30,5
· I
4
in the food processing industry (weighted)
(31) I
5
w
= a
31,1
· I
5,t-3
+ a
31,2
· I
5,t-2
+ a
31,3
· I
5,t-1
+ a
31,5
· I
5
total in agriculture
(32) I
15
= a
32,1
+ a
32,2
·
α
15
+ a
32,3
· I
18
total in the productive sphere
(33) I
16
= a
33,1
+ a
33,2
·
α
16
+ a
33,3
· Y
1
+ a
33,4
· Y
2
+ a
33,5
· Y
3
+ a
33,6
· Y
4
+ a
33,7
· Y
5
+ a
33,8
· Y
15
+ a
33,9
· Y
21
+ a
33,10
· Y
23
+ a
33,11
· Q + a
33,12
· SNB
in the "remaining sectors"
(34) I
18
= a
34,1
+ a
34,2
· Y
15
+ a
34,3
· Y
21
in the non-productive sphere
(35) I
20
= a
35,1
+ a
35,2
·
α
20
+ a
35,3
· Y
1
+ a
35,4
· Y
2
+ a
35,5
· Y
3
+ a
35,6
· Y
4
+ a
35,7
· Y
5
+ a
35,8
· Y
15
+ a
35,9
· Y
21
+ a
35,10
· Y
23
+ a
35,11
· Q + a
35,12
· SNB
on capital repairs
(36) I
r
= a
36,1
+ a
36,2
· M
1
+ a
36,3
· M
2
+ a
36,4
· M
3
+ a
36,5
· M
4
+ a
36,6
· M
5
+ a
36,7
· M
21
in the 5 strategic branches
(37) I
17
≡
I
16
- I18
in "remaining sectors" excluding agriculture
(38) I
21
≡
I
18
- I
15
n the productive sphere excluding agriculture
(39) I
22
≡
I
16
- I
15
4.
Agriculture Y
k
Gross value added of agriculture (supply), total
(40) Y
15
= a
40,1
+ a
40,2
· K
1
+ a
40,3
· Y
151
+ Y
152
Gross animal production of agriculture (supply)
(41) Y
151
= a
41,1
+ a
41,2
· R
e
+ a
41,3
· K
20
+ a
41,4
· M
15
+ a
41,5
· Y
152,t-1
3
Total gross vegetal production of agriculture (supply)
(42) Y
152
= a
42,1
+ a
42,2
· Y
153
+ a
42,3
· Y
154
Total production of 4 cereals in agriculture (supply)
(43) Y
153
= a
43,1
+ a
43,2
· N + a
43,3
· M
e
Total production of potatoes in agriculture (supply)
(44) Y
154
= a
44,1
+ a
44,2
· N + a
44,3
· M
e
5.
Production (supply, gross value added Y
k
)
of the power and fuel industry
(45) Y
1
= a
45,1
+ a
45,2
· M
1
of the electric engineering industry (supply)
(46) Y
2
= a
46,1
+ a
46,2
· Z
2
+ a
46,3
· M
2,t-1
of the chemical industry (supply)
(47) Y
3
= a
47,1
+ a
47,2
· Z
3
+ a
47,3
· M
3,t-1
of the light industry (supply)
(48) Y
4
= a
48,1
+ a
48,2
· Z
4
+ a
48,3
· M
4,t-1
+ a
48,4
· M
4,t-2
of the food processing industry (supply)
(49) Y
5
= a
49,1
+ a
49,2
· M
5
+ a
49,3
· Y
15
of "remaining sectors" excluding agriculture
(50) Y
21
= a
50,1
+ a
50,2
· Z
21
+ a
50,3
· M
21
of 5 strategic branches
(51) Y
17
≡
Y
1
+ Y
2
+ Y
3
+ Y
4
+ Y
5
in "remaining sectors"
(52) Y
18
≡
Y
21
+ Y
15
total excluding agriculture
(53) Y
22
≡
Y
21
+ Y
17
total
(54) Y
16
≡
Y
22
+ Y
15
6.
Production ( demand Y
k
gross value added (demand)
of the power and fuel industry
(55) Y
1
= a
55,1
+ a
55,2
· K
19
+ a
55,3
· E
11
+ a
55,4
· E
21
+ a
55,5
· E
12
+ a
55,6
· E
22
+ a
55,7
· E
13
+ a
55,8
· E
23
+ a
55,9
· E
14
+ a
55,10
· E
24
+ a
55,11
· S
4
of the electric engineering industry
(56) Y
2
= a
56,1
+ a
56,2
· K
17
+ a
56,3
· I
16
of the chemical industry
(57) Y
3
= a
57,1
+ a
57,2
· S
5
+ a
57,3
· E
12,t-1
+ a
57,4
· E
22,t-1
of the light industry
(58) Y
4
= a
58,1
+ a
58,2
· t + a
58,3
· S
3
+ a
58,4
· Y
4,t-1
of the food processing industry
(59) Y
5
= a
59,1
+ a
59,2
· K
2
+ a
59,3
· E
13
+ a
59,4
· E
23
+ a
59,5
· S
4
of the metallurgical industry
(60) Y
6
= a
60,1
+ a
60,2
· Y
2
of the mineral industry
(61) Y
7
= a
61,1
+ a
61,2
· Y
5
+ a
61,3
· Y
9
+ a
61,4
· Y
7,t-1
+ a
61,5
· Y
9,t-1
of the pulp and papar industry
(62) Y
8
= a
62,1
+ a
62,2
· Y
9
+ a
62,3
· Y
9t-1
4
of the construction industry
(63) Y
9
= a
63,1
+ a
63,2
· Y
2
+ a
63,3
· Y
9,t-1
of forestry
(64) Y
10
= a
64,1
+ a
64,2
· Y
8
of transport and communications
(65) Y11 = a
65,1
+ a
65,2
· Y
1
+ a
65,3
· Y
2
+ a
65,4
+ Y
3
+ a
65,5
· Y
4
+ a
65,6
· Y
5
+ a
65,7
· Y
6
+ a
65,8
· Y
7
+ a
65,9
· Y
8
+ a
65,10
· Y
9
+ a
65,11
· Y
15
+ a
65,12
· Y
1,t-1
of trade sector
(66) Y
12
= a
66,1
+ a
66,2
· Y
1
+ a
66,3
· Y
5
+ a
66,4
· Y
5,t-1
+ a
66,5
· Y
12,t-1
of the socialized industry
(67) Y
13
= a
67,1
+ a
67,2
· Y
1
+ a
67,3
· Y
2
+ a
67,4
· Y
4
+ a
67,5
· Y
5
of non-industrial sphere
(68) Y
14
= a
68,1
+ a
68,2
· Y
9
+ a
68,3
· Y
10
+ a
68,4
· Y
11
+ a
68,5
· Y
12
+ a
68,6
· Y
15
of the non-socialized industry
(69) Y
23
= a
69,1
+ a
69,2
· t + a
69,3
· Y
23,t-1
total
(70) Y
16
≡
Y
13
+ Y
14
of 5 strategic branches
(71) Y
17
≡
Y
1
+ Y
2
+ Y
3
+ Y
4
+ Y
5
of "remaining sectors"
(72) Y
18
≡
Y
16
- Y
17
of "remaining sectors" excluding agriculture
(73) Y
21
≡
Y
18
- Y
15
Balance of foreign trade and losses
(74) Q
= a
74,1
+ a
74,2
· D
11
+ a
74,3
· D
21
+ a
74,4
· D
12
+ a
74,5
· D
22
+ a
74,6
· D
13
+ a
74,7
· D
23
+ a
74,8
· D
14
+ a
74,9
· D
24
+ a
74,10
· E
11
+ a
74,11
· E
21
+ a
74,12
· E
12
+ a
74,13
· E
22
+ a
74,14
· E
13
+ a
74,15
· E
23
+ a
74,16
· E
14
+ a
74,17
· E
24
Inventories (increase of stocks and reserves)
(75) q
= a
75,1
+ a
75,2
·
α
q
+ a
75,3
· Y
1
+ a
75,4
· Y
2
+ a
75,5
· Y
3
+ a
75,6
· Y
4
+ a
75,7
· Y
5
+ a
75,8
· Y
15
+ a
75,9
· Y
21
+ a
75,10
· Y
23
+ a
75,11
· Q +
75,12
· SNB
Collective consumption
(76) Sz
= a
76,1
+ a
76,2
·
α
s
+ a
76,3
· Y
1
+ a
76,4
· Y
2
+ a
76,5
· Y
3
+ a
76,6
· Y
4
+ a
76,7
· Y
5
+ a
76,8
· Y
15
+ a
76,9
· Y
21
+ a
76,10
· Y
23
+ a
76,11
· Q + a
76,12
· SNB
+ a
76,13
· S
z,t-1
National income generated
(77) Y
w
≡
Y
16
+ Y
23
National income distributed
(78) Y
p
≡
Y
w
+ Q + SNB
8.1
Exports E
k
of machinery and equipment to the socialist countries
(79) E
11
= a
79,1
+ a
79,2
· Y
2
+ a
79,3
· E
11,t-1
of machinery and equipment to the capitalist countries
(80) E
21
= a
80,1
+ a
80,2
· t + a
80,3
· K
3
+ a
80,4
· Y
2
+ a
80,5
· E
21,t-1
5
of fuels and primary commodities to the socialist countries
(81) E
12
= a
81,1
+ a
81,2
· t + a
81,3
· K
4
+ a
81,4
· Y
1
+ a
81,5
· Y
6
of fuels and primary commodities to the capitalist countries
(82) E
22
=
a
82,1
+ a
82,2
· t + a
82,3
· K
5
+ a
82,4
· Y
1
+ a
82,5
· Y
6
of food and agricultural goods to the socialist countries
(83) E
13
= a
83,1
+ a
83,2
· t + a
83,3
· K
6
+ a
83,4
· Y
5
of food and agricultural goods to the capitalist countries
(84) E
23
= a
84,1
+ a
84,2
· t + a
84,3
· K
7
+ a
84,4
· Y
15
of industrial consumer goods to the socialist countries
(85) E
14
= a
85,1
+ a
85,2
· t + a
85,3
· K
8
+ a
85,4
· Y
4
of industrial consumer goods to the capitalist countries
(86) E
24
= a
86,1
+ a
86,2
· t + a
86,3
· Y
4
+ a
86,4
· E
24,t-1
of machinery and equipment
(87) E
01
≡
E
11
+ E
21
of fuels and primary commodities
(88) E
02
≡
E
12
+ E
22
of food and agricultural commodities
(89) E
03
≡
E
13
+ E
23
of industrial consumer goods
(90) E
04
≡
E
14
+ E
24
to the socialist countries
(91) E
10
≡
E
11
+ E
12
+ E
13
+ E
14
to the capitalist countries
(92) E
20
≡
E
21
+ E
22
+ E
23
+ E
24
total
(93) E
00
≡
E
10
+ E
20
8.2
Imports D
k
of machinery and equipment from the sozialist countries
(94) D
11
= a
94,1
+ a
94,2
· K + a
94,3
· I
16
of machinery and equipment from the capitalist countries
(95) D
21
= a
95,1
+ a
95,2
· t + a
95,3
· I
16
of fuels and raw materials from the socialist countries
(96) D
12
= a
96,1
+ a
96,2
· K
10
+ a
96,3
· Y
3
+ a
96,4
· Y
6
+ a
96,5
· D
12,t-1
of fuels and raw materials from the capitalist countries
(97) D
22
= a
97,1
+ a
97,2
· K
11
+ a
97,3
· Y
3
+ a
97,4
· Y
6
of food and agricultural goods from the socialist countries
(98) D
13
= a
98,1
+ a
98,2
· K
12
+ a
98,3
· S
1
of food and agricultural goods from the capitalist countries
(99) D
23
= a
99,1
+ a
99,2
· K
13
+ a
99,3
· S
1
+ a
99,4
· D
23,t-1
of industrial consumer goods from the socialist countries
(100) D
14
= a
100,1
+ a
100,2
· K
14
+ a
100,3
· S
3
+ a
100,4
· S
5
of industrial consumer goods from the capitalist countries
(101) D
24
= a
101,1
+ a
101,2
· K
15
+ a
101,3
· Y
4
+ a
101,4
· Y
8
+ a
101,5
· S
3
+ a
101,6
· S
3,t-1
of machinery and equipment
(102) D
01
≡
D
11
+ D
21
6
of fuels and raw materials
(103) D
02
≡
D
12
+ D
22
of food and agricultural goods
(104) D
03
≡
D
13
+ D
23
of industrial consumer goods
(105) D
04
≡
D
14
+ D
24
from the socialist countries
(106) D
10
≡
D
11
+ D
12
+ D
13
+ D
14
from the capitalist countries
(107) D
20
≡
D
21
+ D
22
+ D
23
+ D
24
total
(108) D
00
≡
D
10
+ D
20
8.3
Foreign trade balances D
k
- E
k
- machinery and equipment, socialist countries
(109) P
11
≡
D
11
- E
11
- machinery and equipment, capitalist countries
(110) P
21
≡
D
21
- E
21
- fuels and primary commodities, socialist countries
(111) P
12
≡
D
12
- E
12
- fuels and primary commodities, capitalist countries
(112) P
22
≡
D
22
- E
22
- foods and agricultural goods, socialist countries
(113) P
13
≡
D
13
- E
13
- foods and agricultural goods, capitalist countries
(114) P
23
≡
D
23
- E
23
- industrial consumer goods, socialist countries
(115) P
14
≡
D
14
- E
14
- industrial consumer goods, capitalist countries
(116) P
24
≡
D
24
- E
24
- machinery and equipment, total
(117) P
01
≡
D
01
- E
01
- fuels and primary commodities, total
(118) P
02
≡
D
02
- E
02
- food and agricultural commodities, total
(119) P
03
≡
D
03
- E
03
- industrial consumer goods, total
(120) P
04
≡
D
04
- E
04
- with socialist countries
(121) P
10
≡
D
10
- E
10
- with capitalist countries
(122) P
20
≡
D
20
- E
20
Total balance of foreign trade
(123) P
00
≡
D
00
- E
00
7
9.
Personal incomes, wages, productivity F
k
Personal wage fund in the fuel and power industry
(124) F
1
= a
124,1
+ a
124,2
· A
1
+ a
124,3
· Z
1
+ a
124,4
· Z
1,t-1
Personal wage fund in the electric engineering industry
(125) F
2
= a
125,1
+ a
125,2
· A
2
+ a
125,3
· K
18
+ a
125,4
· Z
2
Personal wage fund in the chemical industry
(126) F
3
= a
126,1
+ a
126,2
· t
2
+ a
126,3
· A
3
+ a
126,4
· Z
3
Personal wage fund in the light industry
(127) F
4
= a
127,1
+ a
127,2
· A
4
+ a
127,3
· Z
4
+ a
127,4
· Z
4,t-1
Personal wage fund in the food processing industry
(128) F
5
= a
128,1
+ a
128,2
· A
5
+ a
128,3
· Z
5
Incomes of farmers
(129) F
15
= a
129,1
+ a
129,2
· K
16
+ a
129,3
· Y
15
Incomes in the non-productive sphere
(130) F
20
= a
130,1
+ a
130,2
· Z
o
+ a
130,3
· Z
1
+ a
130,4
· Z
2
+ a
130,5
· Z3 + a
130,6
· Z
4
+ a
130,7
· Z
5
+ a
130,8
· Z
15
+ a
130,9
· Z
21
+ a
130,10
· F
20,t-1
Personal wage fund in "remaining branches"
(131) F
21
= a
131,1
+ a
131,2
· Z
21
+ a
131,3
· A
21
+ a
131,4
· F
21,t-1
Personal wage fund in the productive sphere of the socialized economy (supply)
(132) F
22
= a
132,1
+ a
132,2
· Z
1
+ a
132,3
· Z
2
+ a
132,4
· Z
3
+ a
132,5
· Z
4
+ a
132,6
· Z
5
+ a
132,7
· Z
21
+ a
132,8
· A
22
+ a
132,9
· F
22,t-1
Non-personal wage fund in the productive sphere of the socialized economy
(133) F
23
= a
133,1
+ a
133,2
· F
22
+ a
133,3
· F
23,t-1
Allowances for employees
(134) F
24
= a
134,1
+ a
134,2
· F
22
+ a
134,3
· F
24,t-1
Pensions and scholarships
(135) F
25
= a
135,1
+ a
135,2
· L + a
135,3
· F
25,t-1
Personal wage fund in the productive sphere of the socialized economy (demand)
(136) F
22
≡
F
1
+ F
2
+ F
3
+ F
4
+ F
5
+ F
21
Total personal incomes of the population
(137) F
0
≡
F
15
+ F
20
+ F
22
+ F
23
+ F
24
+ F
25
Average A
k
Average monthly wage (gross), in "remaining sectors", excluding agriculture
(138) A
21
= a
138,1
+ a
138,2
· W
21
Average gross monthly wage in the productive sphere, excluding agriculture
(139) A
22
= a
139,1
+ a
139,2
· W
22
Average annual productivity per employee in the "remaining sectors"
(140) W
21
= a
140,1
+ a
140,2
· Z
21
+ a
140,3
· M
21
+ a
140,4
· A
21
Average annual labour productivity per employee in the productive sphere
(141) W
22
= a
141,1
+ a
141,2
· Z
1
+ a
141,3
· Z
2
+ a
141,4
· Z
3
+ a
141,5
· Z
4
+ a
141,6
· Z
5
+ a
141,7
· Z
21
+ a
141,8
· Y
1
+ a
141,9
· Y
2
+ a
141,10
· Y
3
+ a
141,11
· Y
4
+ a
141,12
·Y
5
+ a
141,13
· Y
21
+ a
141,14
· W
22,t-1
8
10.
Process, savings
Price index for food
(142) C
1
= a
142,1
+ a
142,2
· RC
1
+ a
142,3
· C
0
+ a
142,4
· C
1,t-1
Price index for meat and fats
(143)C
2
= a
143,1
+ a
143,2
· RC
2
+ a
143,3
· C
0
+ a
143,4
· C
2,t-1
Price index for cloth and shoes
(144) C
3
= a
144,1
+ a
144,2
· RC
3
+ a
144,3
· C
0
Price index for power and fuels
(145) C
4
= a
145,1
+ a
145,2
· RC
4
+ a
145,3
· C
0
Price index for personal hygene and health care
(146) C
5
= a
146,1
+ a
146,2
· t + a
146,3
· RC
5
+ a
146,4
· C
0
Price index for cultural amenities, housing and articles of personal motorization
(147) C
6
= a
147,1
+ a
147,2
· RC
6
+ a
147,3
· C
0
Price index for "remaining components" of consumption
(148) C
7
= a
148,1
+ a
148,2
· RC
7
+ a
148,3
· C
0
+ a
148,4
· C
7,t-1
Relation between So and sum: F
0
+ O
t
- O
t-1
(149) G
= a
149,1
+ a
149,2
· S
1
+ a
149,3
· S
3
+ a
149,4
· S
4
+ a
149,5
· S
5
+ a
149,6
· S
6
+ a
149,7
· S
7
+ a
149,8
· F
15
+ a
149,10
· F
20
+ a
149,11
· F
22
+ a
149,12
· F
23
+ a
149,13
· F
24
+ a
149,14
· F
25
+ a
149,15
· O + a
149,16
· O
t-1
Price index for total consumption
(150) C
0
= a
150,1
· a
150,2
· G
t-1
Price index for total consumption
(151) C
0
= a
151,1
+ a
151,2
· S
1
+ a
151,3
· S
3
+ a
151,4
· S
4
+ a
151,5
· S
5
+ a
151,6
· S
6
+ a
151,7
· S
7
+ a
151,8
· S
1
+ a
151,9
· S
3
+ a
151,10
· S
4
+ a
151,11
· S
5
+ a
151,12
· S
6
+ a
151,13
· S
7
Personal savings of the population, total
(152) O
= a
152,1
+ a
152,2
· F
15
+ a
152,3
· F
20
+ a
152,4
· F
22
+ a
152,5
· F
23
+ a
152,6
· F
24
+ a
152,7
· F
25
+ a
152,8
· O
t-1
11.
Consumption - supply S
k
of food (supply)
(153) S
1
= a
153,1
+ a
153,2
· Y
5
+ a
153,3
· Y
15
+ a
153,4
· D
13
+ a
153,5
· D
23
+ a
153,6
· S
1,t-1
of meat and fats (supply)
(154) S
2
= a
154,1
+ a
154,2
· Y
5
+ a
154,3
· Y
15
+ a
154,4
· D
13
+ a
154,5
· D
23
+ a
154,6
· S
2,t-1
of cloth and shoes (supply)
(155) S
3
= a
155,1
+ a
155,2
· Y
4
+ a
155,3
· D
14
+ a
155,4
· D
24
+ a
155,5
· E
14
+ a
155,6
· E
24
+ a
155,7
· S
3,t-1
of fuels and power (supply)
(156) S
4
= a
156,1
+ a
156,2
· Y
1
+ a
156,3
· S
4,t-1
of personal hygene articles and health care services (supply)
(157) S
5
= a
157,1
+ a
157,2
· Y
3
+ a
157,3
· D
14
· a
157,4
· D
24
of
cultural
goods
and
services
housing
and
motorization articles (supply)
(158) S
6
= a
158,1
+ a
158,2
· Y
2
+ a
158,3
· D
14
· a
158,4
· D
24
of "remaining" consumption (supply)
(159) S
7
= a
159,1
+ a
159,2
· t + a
159,3
· Y
11
+ a
159,4
· Y
12
9
of total consumption (supply)
(160) S
0
≡
S
1
+ S
3
+ S
4
+ S
5
+ S
6
+ S
7
12.
Consumption - demand
of food (demand)
(161) S
1
= a
161,1
+ a
161,2
· RC
1
+ a
161,3
· F
15
+ a
161,4
· F
20
+ a
161,5
· F
22
+ a
161,6
· F
23
+ a
161,7
· F
24
+ a
161,8
· F
25
of meat and fats (demand)
(162) S
2
= a
162,1
+ a
162,2
· RC
2
+ a
162,3
· F
15
+ a
162,4
· F
20
+ a
162,5
· F
22
+ a
162,6
· F
23
+ a
162,7
· F
24
+ a
162,8
· F
25
of cloth and shoes (demand)
(163) S
3
= a
163,1
+ a
163,2
· RC
3
+ a
163,3
· F
15
+ a
163,4
· F
20
+ a
163,5
· F
22
+ a
163,6
· F
23
+ a
163,7
· F
24
+ a
163,8
· F
25
+ a
163,9
· S
3,t-1
of fuels and energy (demand)
(164) S
4
= a
164,1
+ a
164,2
· RC
4
+ a
164,3
· F
15
+ a
164,4
· F
20
+ a
164,5
· F
22
+ a
164,6
· F
23
+ a
164,7
· F
24
+ a
164,8
· F
25
of personal hygene articles and health care services (demand)
(165) S
5
= a
165,1
+ a
165,2
· RC
5
+ a
165,3
· F
15
+ a
165,4
· F
20
+ a
165,5
· F
22
+ a
165,6
· F
23
+ a
165,7
· F
24
+ a
165,8
· F
25
+ a
165,9
· S
5,t-1
of
cultural
goods
and
services,
housing
and
motorization
article
(demand)
(166) S
6
= a
166,1
+ a
166,2
· RC
6
+ a
166,3
· F
15
+ a
166,4
· F
20
+ a
166,5
· F
22
+ a
166,6
· F
23
+ a
166,7
· F
24
+ a
166,8
· F
25
+ a
166,9
· S
6,t-1
of "remaining" consumption (demand)
(167) S
7
= a
167,1
+ a
167,2
· RC
7
+ a
167,3
· F
15
+ a
167,4
· F
20
+ a
167,5
· F
22
+ a
167,6
· F
23
+ a
167,7
· F
24
+ a
167,8
· F
25
of total consumption (demand)
(168) S
0
≡
S
1
+ S
3
+ S
4
+ S
5
+ S
6
+ S
7
13.
Equations of constant prices versus current prices (consumption S
k
)
of food cp (supply)
(169) S
z1
= a
169,1
+ a
169,2
· C
1
+ a
169,3
· S
1
+ a
169,4
· S
z1,t-1
of meat and fats cp (supply)
(170) S
z2
= a
170,1
+ a
170,2
· C
2
+ a
170,3
· S
2
of cloth and shoes cp (demand)
(171) S
z3
= a
171,1
+ a
171,2
· C
3
+ a
171,3
· S
3
+ a
171,4
· S
z3,t-1
of fuels and energy cp (supply)
(172) S
z4
= a
172,1
+ a
172,2
· C
4
+ a
172,3
· S
4
of personal hygene articles and health care services cp (supply)
(173) S
z5
= a
173,1
+ a
173,2
· C
5
+ a
173,3
· S
5
of cultural goods and services, housing and motorization articles cp (supply)
(174) S
z6
= a
174,1
+ a
174,2
· C
6
+ a
174,3
· S
6
+ a
174,4
· S
z6,t-1
of "remaining" items cp (supply)
(175) S
z7
= a
175,1
+ a
175,2
· C
7
+ a
175,3
· S
7
+ a
175,4
· S
z7,t-1
10
14.1 Equilibrium of production
of production of the power and fuel industry
(176) B
1
≡
Y
1
- Y
2
of production of the electric engineering industry
(177) B
2
≡
Y
2
- Y
2
of production of the chemical industry
(178) B
3
≡
Y
3
- Y
3
of production of the light industry
(179) B
4
≡
Y
4
- Y
4
of production of the food processing industry
(180) B
5
≡
Y
5
- Y
5
of production of "remaining sectors" excluding a agriculture
(181) B
6
≡
Y
21
- Y
21
14.2 Equilibrium of wage funds
of personal wage funds in the productive sphere of the socialist
(182) B
7
≡
F
22
- F
22
14.3 Equilibrium of price indices
of price indices for total consumption
(183) B
8
≡
C
o
- C
o
14.4 Equilibrium of consumption
of food consumption
(184) B
9
≡
Sz
1
- S
1
of meat and fats consumption
(185) B
10
≡
Sz
2
- S
2
of cloth and schole consumption
(186) B
11
≡
Sz
3
- S
3
of fuels and power consumption
(187) B
12
≡
Sz
4
- S
4
of personal hygene articles and health care services
(188) B
13
≡
Sz
5
- S
5
of cultural goods and services, housing and motorization articles consumption
(189) B
14
≡
Sz
6
- S
6
of "remaining" consumption
(190) B
15
≡
Sz
7
- S
7
11
List of endogenous variables
A
21
average monthly wage (gross), in "remaining sectors", excluding agriculture,
in Zlotys
A
22
average gross monthly wage in the productive sphere, excluding agriculture,
in Zlotys
Equilibrium
B
1
of production of the power and fuel industry, socialized economy
B
2
of production of the electric engineering industry, socialized economy
B
3
of production of the chemical industry, socialized economy
B
4
of production of the light industry, socialized economy
B
5
of production of the food processing industry, socialized economy
B
6
of production of "remaining sectors" excluding a agriculture
B
7
of personal wage funds in the productive sphere of the socialist economy
B
8
of price indices for total consumption
B
9
of food consumption
B
10
of meat and fats consumption
B
11
of cloth and shoe consumption
B
12
of fuels and power consumption
B
13
of personal hygene articles and health care services consumption
B
14
of cultural goods and services, housing, motorization articles consumption
B
15
of "remaining" consumption
Price index
C
0
for total consumption
C
1
for food
C
2
for meat and fats
C
3
for cloth and shoes
C
4
for power and fuels
C
5
for personal hygene and health care
C
6
for cultural amenities, housing and articles of personal
motorization
C
7
for "remaining components" of consumption
C
0
for total consumption
Imports in billion foreign exchange Zlotys
D
00
total
D
01
of machinery and equipment
D
02
of fuels and raw materials
D
03
of food and agricultural goods,
D
04
of industrial consumer goods
D
10
from the socialist countries,
D
11
of machinery and equipment from the socialist countries,
D
12
of fuels and raw materials from the socialist countries,
D
13
of food and agricultural goods from the socialist countries,
D
14
of industrial consumer goods from the socialist countries,
D
20
total from the capitalist countries,
D
21
of machinery and equipment from the capitalist countries,
D
22
of fuels and raw materials from the capitalist countries,
12
D
23
of food and agricultural goods from the capitalist countries,
D
24
of industrial consumer goods from the capitalist countries
Exports in billion foreign exchange Zlotys
E
00
total
E
01
total of machinery and equipment
E
02
total of fuels and primary commodities
E
03
total of food and agricultural commodities
E
04
totalof industrial consumer goods
E
10
total to the socialist countries
E
11
of machinery and equipment to the socialist countries
E
12
of fuels and primary commodities to the socialist countries
E
13
of food and agricultural goods to the socialist countries
E
14
of industrial consumer goods to the socialist countries
E
20
to the capitalist countries
E
21
of machinery and equipment to the capitalist countries
E
22
of fuels and primary commodities to the capitalist countries
E
23
of food and agricultural goods to the capitalist countries
E
24
of industrial consumer goods to the capitalist countries
F
0
total personal incomes of the population = gross receipts of family
households, total, in billion Zlotys
F
1
personal wage fund in the fuel and power industry, socialized economy, in
billion Zlotys
F
2
personal wage fund in the electric engineering industry, socialized economy,
in billion Zlotys
F
3
personal wage fund in the chemical industry, socialized economy, in billion
zlotys
F
4
personal wage fund in the light industry, socialized economy, in billion Zlotys
F
5
personal wage fund in the food processing industry, socialized economy, in
billion Zlotys
F
15
incomes of farmers, in billion Zlotys
F
20
incomes in the non-productive sphere, in billion Zlotys
F
21
personal wage fund in "remaining branches" /i.e., productive sphere
excluding 5 strategic branches of the socialized economy, in billion Zlotys
F
22
personal wage fund in the productive sphere of the socialized economy,
excluding agriculture, in billion Zlotys (demand)
F
22
personal wage fund in the productive sphere of the socialized economy,
excluding agriculture, in billion Zlotys (supply)
F
23
non-personal wage fund in the productive sphere of the socialized economy,
excluding agriculture, in billion Zlotys
F
24
allowances for employees, in billion Zlotys
F
25
pensions and scholarships, in billion Zlotys
G
relation between So and sum: F
0
+ O
t
- O
t-1
Investment expenditures
I
1
in the power and fuel industry, socialized economy, 71p
I
2
in the electric engineering industry, socialized economy, 71p
I
3
in the chemical industry, socialized economy, 71p
13
I
4
in the light industry, socialized economy, 71p
I
5
in the food processing industry, socialized economy, 71p
I
15
in agriculture, total, 71p
I
16
in the productive sphere, 71p
I
17
in the 5 strategic branches, socialized economy, 71p
I
18
iin the "remaining sectors" /i.e., productive sphere, excluding 5 strategic
branches, socialized economy, 71p
I
20
in the non-productive sphere, 71p
I
21
in "remaining sectors" excluding agriculture,71p
I
22
in the productive sphere excluding agriculture, 71p
I
r
on capital repairs, socialized economy, 71p
I
w
2
weighted, in the electric engineering industry, socialized economy, 71p
I
w
3
weighted, in the chemical industry, socialized economy, 71p
I
w
4
weighted, in the light industry, socialized economy, 71p
I
w
5
weighted, in the food processing industry, socialized economy, 71p
M
0
fixed assets in the whole national economy,71p
Fixed assets
M
1
in the power and fuel industry, socialized economy, 71p
M
2
in the electric engineering industry, socialized economy, 71p
M
3
in the chemical industry, socialized economy, 71p
M
4
in the light industry, socialized economy, 71p
M
5
in the food processing industry, socialized economy, 71p
M
15
in total agriculture, 71p
M
16
total, in the productive sphere, 71p
M
18
in the "remaining sectors" /i. e., productive sphere excluding 5 strategic
branches of the socialized economy/, 71p
M
20
fin the non-productive sphere, 71p
M
21
in "remaining sectors" excluding agriculture, 71p
M
22
in the productive sphere excluding agriculture, 71p
O
personal savings of the population, total, in billion Zlotys
Foreign trade balance in billion foreign exchange Zlotys
P
00
total balance of foreign trade
P
01
- machinery and equipment, total
P
02
- fuels and primary commodities, total,
P
03
- food and agricultural commodities, total,
P
04
- industrial consumer goods, total
P
10
- with socialist countries,
P
11
- machinery and equipment, socialist countries,
P
12
- fuels and primary commodities, socialist countries,
P
13
- foods and agricultural goods, socialist countries,
P
14
- industrial consumer goods, socialist countries,
P
20
- with capitalist countries,
P
21
- machinery and equipment, capitalist countries,
P
22
- fuels and primary commodities, capitalist countries,
14
P
23
- foods and agricultural goods, capitalist countries,
P
24
- industrial consumer goods, capitalist countries,
P
20
- with capitalist countries
Q
balance of foreign trade and losses, 71p
q
inventories, change of stocks and reserves, 71p
Consumption (supply, demand)
S
0
total, 71p
S
1
of food, 71p
S
2
of meat and fats, 71p
S
3
of cloth and shoes, 71p
S
4
of fuels and power, 71p
S
5
of personal hygene articles and health care services, 71p
S
6
of cultural goods and services, housing and motorization articles, 71p (supply)
S
7
"remaining" consumption, 71p
S
0
total demand, cp (demand)
S
1
of food, cp (demand)
S
2
of meat and fats, cp (demand)
S
3
of cloth and shoes, cp (demand)
S
4
of fuels and energy, cp (demand)
S
5
of personal hygene articles and health care services, cp (demand)
S
6
of cultural goods and services, housing and motorization articles, cp (demand)
S
7
"remaining" consumption, cp (demand)
S
z1
of food, cp
S
z2
of meat and fats, cp
S
z3
of cloth and shoes, cp (demand)
S
z4
of fuels and energy, cp
S
z5
of personal hygene articles and health care services, cp
S
z6
of cultural goods and services, housing and motorization articles, cp
S
z7
"remaining" consumption, cp
S
z
collective consumption, 71p
W
21
average annual productivity per employee in the "remaining sectors"
excluding agriculture, in thousand Zlotys
W
22
average annual labour productivity per employee in the productive sphere
excluding agriculture, in thousand Zlotys
Gross value added (supply) Y
Y
1
of the power and fuel industry, socialized economy, 71p
Y
2
in the electric engineering industry, socialized economy, 71p
Y
3
in the chemical industry, socialized economy, 71p
Y
4
in the light industry, socialized economy, 71p
Y
5
in the food processing industry, socialized economy, 71p
Y
15
of agriculture, total, 71p
Y
16
total, excluding industry in the non-socialized economy, 71p
Y
17
of 5 strategic branches, socialized economy, 71p
Y
18
in "remaining sectors", total, excluding 5 strategic branches of the socialized
15
economy, 71p
Y
21
of "remaining sectors" excluding agriculture, 71p
Y
22
total excluding agriculture, 71p
Y
151
gross animal production of agriculture, total, 71p
Y
152
vegetal production of agriculture, total, 71p
Y
153
of 4 cereals in agriculture, total, in thousand tons
Y
154
of potatoes in agriculture, total in thousand tons
Gross value added (demand) Y
Y
1
of the power and fuel industry, socialized economy, 71p
Y
2
of the electric engineering industry, socialized economy, 71p
Y
3
of the chemical industry, socialized economy, 71p
Y
4
of the light industry, socialized economy, 71p
Y
5
of the food processing industry socialized economy, 71p
Y
6
of the metallurgical industry, socialized economy, 71p
Y
7
of the mineral industry, socialized economy, 71p
Y
8
pulp and paper industry, socialized economy, 71p
Y
9
of the construction industry, 71p
Y
10
of forestry, 71p
Y
11
of transport and communications, 71p
Y
12
of trade sector, 71p
Y
13
of the socialized industry, 71p
Y
14
gof non-industrial sphere, 71p
Y
16
total /excluding non-socialized industry, 71p
Y
17
of 5 strategic branches, socialized industry, 71p
Y
18
of "remaining sectors" /i.e., total excluding 5 strategic branches of the
socialized economy, 71p
Y
21
of remaining sectors excluding agriculture, 71p
Y
23
gof the non-socialized industry, 71p
Y
p
national income distributed, in gross terms, 71p
Yw
gross national income, billion /thousand million/ Zlotys, in 1971 prices
Employment Z
Z
1
in the power and fuel industry, socialized economy, in thousand persons
Z
2
in the electric engineering industry, socialized economy, thousand persons
Z
3
chemical industry, socialized economy, thousand persons
Z
4
in the light industry, socialized economy, thousand persons
Z
5
in the food processing industry, socialized economy, thousand persons
Z
16
total in the productive sphere, thousand persons
Z
18
in the "remaining sectors"/i. e., productive sphere excluding 5 strategic
branches in the socialized economy/, thousand persons
Z
20
in the non-productive sphere, thousand persons
Z
21
in "remaining sectors", excluding agriculture, in thousand persons
Z
22
in the productive sphere excluding agriculture, thosand persons
16
List of exogenous variables and parameters
Average monthly gross wage in Zlotys, economy wide
A
1
in the power and fuel industry, socialized economy
A
2
in the electric engineering industry, socialized economy
A
3
in the chemical industry, socialized economy
A
4
in the light industry, socialized economy
A
5
in the food processing industry socialized economy
Shares
α
α
q
of inventories (q) in the gross national income distributed (Y
p
)
α
s
of collective consumption (S
z
) in the gross national income
α
1
of investment expenditures of the power and fuel industry (I
1
/I
17
)
α
2
of investment expenditures of the electric engineering industry (I
2
/I
17
)
α
3
of investment expenditures of the chemical industry (I
3
/I
17
)
α
4
of investment expenditures of the light industry (I
4
/I
17
)
α
5
of investment expenditures of the food processing industry (I
5
/I
17
)
α
15
of investment expenditures in whole agriculture (I
15
/I
18
)
α
16
of investment expenditures in the total productive sphere (I
16
/Y
p
)
α
20
of investment expenditures in the non-productive sphere (I
20
/Y
p
)
L
dependency ratio
Me
IOWA index
N
consumption of chemical fertilizers NPK, total, per 1 hectare of agricultural
land, in kilograms
Re
ratio of prices of animal production, to prices of vegetal production
SNB
non-balanced total sum, 71p
P
population in non-working age
t, t
2
time variable, time variable squared
Z
0
employment in the national economy, in thousand persons
Z
15
employment in agriculture, in thousand persons
Dummies (zero-one variable)
K
k
k =1, 2, …, 20
RC
k
ratio of the variable C
k
to variable C
0
, k=1,2,3,…, 7
General notation
bZ
in billion Zlotys
cp
in billion Zlotys, in current prices
71p
in billion Zlotys, in 1971 prices
z
t-k
variable z lagged by k years