12/19/20

The order of economic success and influence in the 21st century

 The real GDP per capita is the best measure of economic success. It can be an expression of various driving forces behind the growth, however. The largest (practically full spectrum of industries and services) economies are competing with each other in all political (i.e., economic and military) aspects. The military power is very important to protect the non-equivalent exchange with smaller economies. The overall economic influence (the margin of non-equivalent exchange) of a given country can be described by three parameters – the increment of real GDP per capita, military power, and total population. The smallest countries can be extremely successful in a few specific activities, however. Bigger countries have to fight.

Clearly, the military interaction in the key trade focus points (Suez canal, Panama canal, Malacca strait) grows in intensity and probably in the next decade may come closer to the global war: China squeezes the USA out of the strait of Malacca droplet by droplet, Russia has a military base in Syria and will get a new technical base for warships in Sudan (Red Sea); China and Russia both invest in Venezuela and provide military support. Yet, Russia and China does not control these focus points but can ruin them and stop the trade at any moment. In all the strategic points, the West loses control gained after the Former Soviet Union closed its own military bases worldwide.  

Below I present a table listing the real GDP per capita annual increments in the 21st century and total population (2018), as presented in the Maddison Project Database. Position #5 is occupied by Saudi Arabia. Its wealth is based on oil and military protection by the USA.  Position #10 belongs to Switzerland. It is difficult to call this country “small” in terms of economy, but it has a few very specific businesses likely subject to increasing influence from abroad. The Russian Federation is number 20: the unbeaten military power with nuclear weapon and the largest territory is well supported by the sixth place in the real GDP (PPP) list. The growth rate in real GDP per capita was extremely healthy ($784 per year on average) after the recovery from the dramatic fall associated with the transition to capitalism from socialism.  Germany occupies position 27 and likely is the major beneficiary of the EU. The success of East European countries is related to the EU subvention, which is close to the end, however. This is the reason for the two-speed Europe – almost all east European countries lost their economic power.  The UK (73), France (83), Italy (92), Spain (89) are almost the worst performers in the EU – lost their power relative to Germany. The USA is #41 (close to the "Ultimate Question of Life, the Universe, and Everything"). Let’s see what happens in 2020 and 2021. China is 47, but its economic and military power is based on the largest population despite lower real GDP per capita.

mean GDP pc increment since 2000 (2011 prices)

Country

population, x1000

5999

Qatar

2606

1702

Singapore

5996

1697

Norway

5313

1649

Kuwait

4229

1528

United Arab Emirates

9619

1467

Saudi Arabia

33344

1438

Ireland

4859

1249

Bahrain

1584

1230

Turkmenistan

5410

1007

Switzerland

8668

997

China, Hong Kong SAR

7350

993

Taiwan, Province of China

23324

920

Lithuania

2799

889

Kazakhstan

18323

867

Equatorial Guinea

797

842

Seychelles

95

823

Republic of Korea

51635

818

Poland

38371

790

Czechoslovakia

16015

784

Russian Federation

146476

761

Czech Republic

10605

748

Montenegro

614

735

Australia

24855

732

Slovakia

5409

724

Romania

19191

722

Latvia

1927

712

Germany

84152

708

Panama

3801

694

Hungary

9774

690

Azerbaijan

9648

683

Oman

4725

644

Malta

487

632

Malaysia

31143

630

Sweden

10175

589

Estonia

1292

580

Mongolia

3103

574

Iceland

353

557

Bulgaria

7167

534

Belarus

9528

532

Netherlands

17232

525

United States

327835

521

Trinidad and Tobago

1215

510

Iraq

40012

507

Dominican Republic

10385

487

Croatia

3861

473

New Zealand

4840

465

China

1385439

455

Austria

8892

449

Former Yugoslavia

21424

448

Serbia

7078

440

Canada

37206

439

Iran (Islamic Republic of)

82239

433

Botswana

2263

430

Slovenia

2067

427

Puerto Rico

3295

411

Algeria

41490

409

Turkey

85935

409

Luxembourg

610

405

Denmark

5794

396

Uruguay

3396

394

Georgia

4922

390

Thailand

67515

388

Gabon

2083

383

Israel

8460

383

Chile

18676

364

Uzbekistan

30023

359

Indonesia

259494

351

Armenia

2907

350

Albania

3063

348

Peru

31382

345

Finland

5516

340

United Kingdom

66746

335

Belgium

11429

326

Mauritius

1364

323

Sri Lanka

21732

320

Angola

22638

304

Japan

125848

298

Costa Rica

4994

298

Egypt

102184

291

Libya

6688

286

Lebanon

7708

284

France

67029

280

Colombia

48128

277

TFYR of Macedonia

2119

270

Cyprus

1022

258

Ukraine

43952

255

South Africa

55341

250

Spain

47380

247

Paraguay

7099

240

Cuba

11116

233

Brazil

211308

233

Lao People's DR

7234

233

Argentina

44695

228

Philippines

112106

225

India

1298136

225

Viet Nam

97076

222

Myanmar

54400

216

Jordan

9116

216

Mexico

121656

211

Tunisia

11478

209

Republic of Moldova

3453

207

Ecuador

16499

205

Morocco

35496

204

Portugal

10221

188

Bosnia and Herzegovina

3947

185

Dominica

74

182

Saint Lucia

166

180

Cabo Verde

568

177

El Salvador

6368

176

Swaziland

1087

172

Nigeria

202534

171

Namibia

2554

151

Tajikistan

8604

145

Bangladesh

167475

140

Bolivia (Plurinational State of)

11306

138

Greece

10662

131

Pakistan

219964

120

Ghana

27858

117

Zambia

17255

116

Nicaragua

6085

109

Cambodia

16409

107

Kyrgyzstan

5718

96

U.R. of Tanzania: Mainland

56367

95

Honduras

9002

92

Italy

60447

86

Congo

5165

86

Guatemala

17232

85

Mauritania

3840

84

Sao Tome and Principe

204

81

Kenya

51372

80

Afghanistan

34941

79

Sudan (Former)

41774

79

Djibouti

884

76

Côte d'Ivoire

27623

74

Chad

15253

59

Ethiopia

106468

58

Nepal

29718

51

Cameroon

26374

50

Rwanda

11916

48

Sierra Leone

6312

47

Uganda

42331

42

Lesotho

1962

41

Jamaica

2672

35

Senegal

16356

31

Guinea

11855

29

Comoros

821

29

Mali

16507

25

D.R. of the Congo

95239

25

Gambia

2093

17

Burkina Faso

19700

17

Benin

12018

17

Togo

8176

15

Niger

21234

15

Guinea-Bissau

1833

12

Haiti

10788

10

Madagascar

25684

8

Malawi

20217

-3

D.P.R. of Korea

25381

-4

Mozambique

25998

-5

Burundi

11229

-9

Liberia

4810

-9

State of Palestine

4615

-19

Central African Republic

5745

-33

Zimbabwe

14097

-34

Barbados

293

-107

Yemen

30217

-182

Venezuela (Bolivarian Republic of)

28890

-240

Syrian Arab Republic

16931

 

 

 

The real GDP in the USA is driven by population pyramid: statistics of the economic bubble 2003-2007

In our previous post, we presented Figure 1, which displays two variables – the measured number of 9-year-olds, N9, and the same number predicted from the GDP growth rate as based on the link between real GDP per capita and N9; it was tested statistically (cointegration tests). There is a spike between 2003 and 2009 which introduce a significant disturbance in the statistical estimates of the link (both cointegration tests are still valid and Rsq=0.9.).  

The years between 2003 and 2007 are well known as the “sub-prime bubble”, i.e. the economically unsupported increase in the house price, and thus, in the imputed  rent, which gives 8% of the GDP. Figure 2 splits the GDP into 4 major components as presented by the BEA. This is the input of 4 components to the (nominal) GDP growth in a given year. The largest input between 2003 and 2007 comes from “Personal consumption expenditures” (PCE) and “Gross private domestic investment”. The latter also leads in a deep fall in 2008 and 2009, when the predicted curve comes back to the measured N9. Figure 3 splits the PCE into the components with the largest positive input. 

It is hard to distinguish between real economic growth and “bubble” in measurable parameters. However, the discrepancy between the measured and predicted N9 in Figure 1 is likely related to the growth in fictitious GDP components and the fall to the measured curve manifests the fact that the long–term GDP evolution is defined by economic factors and short-term deviations may be real or related to accounting tricks. The latter always return (with pain) to economic "normality" 

Figure 1. Lower panel: Same as in the upper panel for the period between 1960 and 2019.
 
Figure 2. Four major components of the GDP of growth. The largest input between 2003 and 2007 comes from “Personal consumption expenditures” and “Gross private domestic investment”

Figure 3. Major components of the PCE growth.

12/17/20

The real GDP in the USA is driven by population pyramid

 We often discuss the evolution of real GDP (per capita) in developed countries and built a quantitative model, which includes two terms – inertial growth with constant annual increment of GDPpc and the change in a specific age population. We have presented a number of growth models for various developed counties and validated them with new data.  The last revision was around ten years ago, and it is a good opportunity to look at the model with data for the previous decade. It is also important that all relevant data undergo regular revision back into in the past, actually decades.

 

The original model for the U.S. links the change rate of real GDP per capita, dlnG/dt, to the change in the number of 9-year-olds, dlnN9/dt, and the reciprocal value of the attained level of GDP per capita, A/G: 

dlnG/dt= A/G + 0.5dlnN9/dt     (1) 

where A is an empirically derived constant.  One can rewrite (1) relative to N9 and obtain the following equation in a discrete form: 

N9(t) = N9(t-1)[2.0( dlnG - A/G) + 1] (2) 

where dt=1 year. 

The upper panel of Figure 1 presents the result of the N9 modeling between 1960 and 2005.  The agreement between the measured and predicted N9 is excellent, and we have shown that these time series are cointegrated.  Our model has passed all rigorous econometric (Johansen and Engle-Granger) tests and can be used for GDP forecasts when the quality of population estimates is good enough. Here, we update the data set using the most recent release of population and real GDP data. The lower panel of Figure 1 shows the updated curves. The predicted number of 9-year-olds has a short but intensive spike between 2003 and 2008, which dropped to the predicted level in the 2008 recession. The same Johansen and Engle-Granger cointegration tests applied to the new measured and predicted time series of 9-year-olds. Both tests confirm that these two time series are cointegrated, and thus, the linear regression is valid and defines the link between them. Simple linear regression is not the best choice for the predicted and measured number of 9-year-olds in Figure 1. One has to retain in mind the measurement errors in both time series. Considering the fact that the GDP difference test in (2) is very sensitive to the accuracy of annual GDP pc estimates and often revisions to the population estimates, we could give a conservative estimate of the measurement error is 20% of the annual GDP pc estimate. For this error, the Rsq=0.91. It is worth noting, that the predicted N9(t) value is the integral of the GDPpc-related difference, while the measured N9 is an instant measurement and the next measured N9 does not depend on the previous one.  Therefore, the number of 9-year-olds is a fully independent variable, and it defines the long-term (integral) behaviour of the GDP per capita.

We do not know the reason behind the absence of the spike in the measured population data, but it is clear that the postcensal data for a single-year-of-age population are smoothed. The raw population data is not available. The measured GDP growth between 2003 and 2007 in the USA was intensive, and we have no indication that these data are somehow corrupted. 

The updated model indicates that the deviations from the inertial growth in the USA (and likely in all developed countries) are related to the change in 9-year-olds. This might be the age when some financial operations are started by parents in view of future education. This might be the age when additional saving starts and the economy gets a changing fresh portion.  



 

Figure 1. Upper panel: Measured number of 9-year-olds (open circles) in the U.S. and that predicted from real GDP per capita (solid circles) for the period between 1960 and 2005. Lower panel: Same as in the upper panel for the period between 1960 and 2019.

Growth rate of the GDP per capita revisited. 4. Arab Spring – an economic disaster

I intentionally avoid any economic discussion in this section and just present data on the annual GDPpc increment. Here we see the influence of noneconomic factors on economic development. These factors are rarely positive – almost two decades of healthy economic growth in the presented countries were suddenly stopped (except Morocco).


Figure 1. Algeria. Annual GDPpc the increment between 1961 and 2018 with the average value for the studied period of $188 (2011 prices). Notice the fall in 2011 and following poor performance


Figure 2. Same as in Figure 1 for Egypt.


Figure 3. Same as in Figure 1 for Iran.

Figure 4. Same as in Figure 1 for Iraq.


Figure 5. Same as in Figure 1 for Libya.


Figure 6. Same as in Figure 1 for Morocco

Figure 7. Same as in Figure 1 for Tunisia.


Figure 8. Same as in Figure 1 for Bahrain.


 

Figure 9. Same as in Figure 1 for Oman.


  

Figure 10. Same as in Figure 1 for Qatar.


 

Figure 11. Same as in Figure 1 for Saudi Arabia.


Now on arXiv.org "Effects of stochastic and natural seismic noise on the performance of waveform cross-correlation used to recover low-magnitude seismicity prior to the July 29, 2025, Kamchatka earthquake"

arXiv.org link :  [2607.16226] Effects of stochastic and natural seismic noise on the performance of waveform cross-correlation used to reco...