15
Graph 3. Dynamic Impulse Response of Growth Rates to One Standart
Physical Capital-Human Capital Ratio Innovation for Selected Developed Countries
Austria
-0.050
0.000
0.050
0.100
0.150
1
4
7 10 13 16 19 22 25 28 35 50
Period__Impulse_Responses__France'>Period
Impulse Responses
Australia
-0.400
-0.200
0.000
0.200
0.400
0.600
0.800
1
4
7 10 13 16 19 22 25 28 35 50
Period
Impulse Responses
Canada
-0.040
-0.020
0.000
0.020
0.040
0.060
0.080
0.100
1
4
7 10 13 16 19 22 25 28 35 50
Period
Impulse Responses
France
-0.100
-0.080
-0.060
-0.040
-0.020
0.000
1
4
7
10 13 16 19 22 25 28 35 50
Period__Impulse_Responses__United_States'>Period
Impulse Responses
Germany
-0.200
-0.100
0.000
0.100
0.200
0.300
0.400
0.500
1
4
7
10 13 16 19 22 25 28 35 50
Period
Impulse Responses
Italy
-0.200
-0.100
0.000
0.100
0.200
0.300
0.400
1
4
7
10 13 16 19 22 25 28 35 50
Period
Impulse Responses
16
Japan
-0.200
-0.150
-0.100
-0.050
0.000
0.050
0.100
1
4
7
10 13 16 19 22 25 28 35 50
Period
Impulse Responses
Norway
-0.050
0.000
0.050
0.100
0.150
0.200
0.250
1
4
7
10 13 16 19 22 25 28 35 50
Period
Impulse Responses
Sweden
-0.020
0.000
0.020
0.040
0.060
0.080
0.100
0.120
0.140
0.160
1
4
7
10 13 16 19 22 25 28 35 50
Period
Impulse Responses
Switzerland
-0.050
0.000
0.050
0.100
0.150
0.200
0.250
1
4
7
10 13 16 19 22 25 28 35 50
Period
Impulse Responses
United Kingdom
0.000
0.050
0.100
0.150
0.200
0.250
0.300
0.350
1
4
7
10 13 16 19 22 25 28 35 50
Period
Impulse Responses
United States
-0.250
-0.200
-0.150
-0.100
-0.050
0.000
0.050
0.100
1
4
7
10 13 16 19 22 25 28 35 50
Period
Impulse Responses
17
Cumulative impulse response of growth rates for one standard physical capital-human capital
ratio innovation shows the overall effect on GDP growth of innovations of the system. As in the
case of variance decomposition slight deviations (not many) could be stemming from the nature
of physical capital and human capital data that is being used in our models. Unavailable physical
capital stock data reflecting the marketable production capacity of the capital stock is the first
shortcoming of our model. Secondly, human capital data which is commonly used as an index for
formal education in no way incorporates factors like learning-by-doing, economies of scope,
research and development, managerial talent and other components of health and migration.
Another explanation of small disturbances could come from the manipulation of annual data for
quarterly adjustments. Apart from this, human capital data taken as years of schooling index
assumes that there are significant similarities among educational institutions within and among
nations. On the other hand, economies of scope effecting human capital generation and
economies of scope in terms of physical capital generation should not be expected to show
similarities among nations.
Cumulative impulse response values show the smallest absolute values for Sweden and
Norway where the countries have very similar human capital and physical capital formation.
Germany, France and UK having relatively high cumulative impulse response reactions could be
interpreted as beyond dissimilarities in K/H behavior, countries could have different institutional
structures effecting physical capital and human capital generation which can be further clarified
by political setting, taxes, legislatures, bureaucratic procedures, established institutional
procedures. Hall and Jones (1999) also uses similar variables in explaining differing economic
growth rates but in no way we can accept that physical capital-human capital and productivity
could be used in explaining differing growth rates. Because are econometric tests confirm that K
and H complementarity explains growth rates for selected countries where the process should in
fact be K and H complementarity first effecting the productivity levels and then GDP growth
rates. This in no way, decreases the importance of infrastructure of a country in the physical
sense which directly influences physical capital stock and human capital generation. But
nonetheless, even for countries with higher cumulative impulse response growth rates on one
standard physical capital-human capital ratio innovation contributes to a very small segment of
unexplained GDP growth by K/H.
18
Table 4. Variance Decomposition of Growth Rates for One Standard
Physical Capital-Human Capital Ratio Innovation
Period Austria Australia Canada
France Germany Italy
1 0.00 0.00 0.00 0.00 0.00 0.00
2 0.00 6.11 0.02 0.06 1.71 3.94
3 0.47 15.53 0.08 0.19 4.34 4.62
4 0.43 18.46 0.15 0.39 7.38 4.56
5 0.44 19.26 0.20 0.63 8.71 4.42
6 0.52 19.46 0.22 0.88 10.53 4.50
7 0.52 19.88 0.23 1.14
11.98 4.68
8 0.51
19.94 0.24 1.39
12.32 4.78
9 0.51 20.58 0.24 1.62
12.19 4.77
10 0.52 21.14 0.25 1.83
11.99 4.72
11 0.53 21.24 0.25 2.01
11.78 4.70
12 0.54 21.25 0.25 2.16
11.73 4.70
13 0.56 21.25 0.25 2.29 11.78 4.73
14 0.56 21.29 0.25 2.40 11.86 4.75
15 0.56 21.29 0.25 2.50 11.90 4.75
16 0.56 21.33 0.25 2.58 11.89 4.74
17 0.56 21.35 0.25 2.64 11.86 4.74
18 0.56 21.35 0.25 2.69 11.84 4.74
19 0.56 21.35 0.25 2.74 11.82 4.74
20 0.56 21.35 0.25 2.78 11.83 4.75
30 0.58 21.36 0.25 2.95 11.86 4.74
40 0.59 21.36 0.25 2.99 11.86 4.74
50 0.60 21.36 0.25 3.02 11.86 4.74
60 0.62 21.36 0.25 3.03 11.86 4.74
Period
Japan
Norway
Sweden
Switzerland
United Kingdom
United States
1 0.00 0.00 0.00 0.00
0.00
0.00
2 0.01 0.53 0.36 1.13
1.26 0.20
3 0.21 0.56 0.44 0.86
2.76
0.23
4 0.17 0.58 0.46 1.26 3.07 0.70
5 0.78 0.59 0.46 1.47 3.20 1.31
6
1.12 0.59 0.47 1.55 3.30 1.97
7
1.52 0.58 0.47 1.62 3.35 2.45
8
1.97 0.59 0.47 1.64 3.38 2.64
9 2.19 0.59 0.47 1.65 3.39 2.68
10 2.26 0.59 0.47 1.66 3.41 2.66
11 2.25 0.59 0.47 1.66 3.41 2.65
12 2.20 0.59 0.47 1.66 3.42 2.66
13 2.18 0.59 0.47 1.66 3.42 2.68
14 2.19 0.59 0.47 1.66 3.42 2.70
15 2.23 0.59 0.47 1.66 3.42 2.70
16 2.27 0.59 0.47 1.66 3.42 2.71
17 2.30 0.59 0.47 1.66 3.42 2.70
18 2.31 0.59 0.47 1.66 3.42 2.70
19 2.32 0.59 0.47 1.66 3.42 2.70
20 2.31 0.59 0.47 1.66 3.42 2.71
30 2.32 0.60 0.48 1.66 3.42 2.71
40 2.32 0.61 0.48 1.66 3.42 2.71
50 2.32 0.62 0.49 1.66 3.42 2.71
60 2.32 0.63 0.49 1.66 3.42 2.71
19
Table 4 shows variance decomposition of GDP growth rates for one standard physical
capital-human capital ratio innovation. This estimate also shows that physical capital, human
capital concentration ratio is a determinant of GDP growth rates. Estimated values showing low
numerical values confirm that, physical capital and human capital components show
complementarity for all selected developed countries. Largest values for variance decomposition
of GDP growth rates for one standard physical capital-human capital ratio innovation is in
Germany confirming impulse-response results.
5. Conclusion
We began this paper with the modest goal, namely to test the hypothesis whether capital
concentration with respect to human capital has an explanatory power with growth rates. All
model estimates using dynamic time series confirm our hypothesis. In brief, innovations towards
H/K, leads to small and short instability in GDP growth and stabilizing in very short time
intervals. The second contribution, which we believe that is at least as important as the first
finding that, unlike endogenous growth models, K represented by physical capital stock and H
represented by human capital shows complementarity mainly in times of frequent innovations.
As a policy measure we can conclude that, for the tested group of developed countries,
optimal combinations in physical capital stock and human capital will yield better results than
investing in each separately. Given the statistically significant estimates we have to take into
consideration above cited shortcomings related to our econometric estimations. We strongly
believe that studies towards, in depth data for human capital data and other components of
human capital formation and firm level testing will create stronger evidence towards our
hypothesis.
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Özet
Fiziksel Sermaye-Beşeri Sermaye Tamamlayıcılığının Uzun Dönemli
Ekonomik Büyüme Üzerine Etkisi: Zaman Serisi Yaklaşımı
Bu çalışma uzun dönem ekonomik büyüme üzerinde fiziksel ve beşeri sermayenin
tamamlayıcılığını araştırmaktadır. Hipotezimiz, sık teknolojik ve yönetsel yeniliklerin yaratıldığı
bir dönemde, ulusal gelir düzeyindeki değişimlerin açıklanmasında, faktör tamamlayıcılığının,
faktör ikamesine oranla daha anlamlı olacağıdır. Vektör oto regresif model testlerinden elde
edilen sonuçlar, fiziksel ve beşeri sermaye tamamlayıcılığı açıklayıcılarının, GSYİH
değişimlerinde iyi bir ölçüt olacağını ortaya koymaktadır. Ekonometrik sonuçlar, modele dahil
edilen gelişmiş ülkelerde fiziksel sermaye-beşeri sermaye yoğunlaşma oranına gelebilecek
ekonomik şokların, GSYİH'de kısa süreli ve zayıf genli salınımlara yol açtığını doğrulamaktadır.
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