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Classification of countries based on development indices by using K-means and grey relational analysis

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Abstract

Clustering countries based on their development profile is important, as it helps in the efficient allocation and use of resources for institutions like the World Bank, IMF and many others. However, measuring the status of development in each country is challenging, as development encompasses several facets such as economic, social, environmental and institutional aspects. These dimensions should be captured and aggregated appropriately before attempting to classify countries based on development. In this context, this paper attempts to measure various dimensions of development through four indices namely, Economic Index (EI), Social Index (SI), Sustainability Index (SUI) and Institutional Index (II) for the period between 1996 through 2015 for 102 countries. And then we categorize the countries based on these development indices using the grey relational analysis and K-means clustering method. Our study classifies countries into four clusters with twelve countries in the first cluster, fifty in second, twenty-seven and thirteen countries in third and fourth clusters respectively. Having taken each of the dimensions of development independently, our results show that no cluster has performed poorly in all four aspects.

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Availability of data and materials

The datasets generated and/or analyzed during the current study are available in the World Bank database 2018 (https://databank.worldbank.org/data/source/world-development-indicators#). UNESCO Institute of Statistics (UNESCO Institute for Statistics. 2013. Data Centre. Accessed November, 2013 http://stats.uis.unesco.org).

Notes

  1. Published by Social Progress Imperative can be retrieved from https://www.socialprogress.org/.

  2. Authors like Sen (1983), Goossens et al. (2007), Stiglitz et al. (2009) Costanza et al. (2009), Wilkinson et al. (2010), Schepelmann et al. (2010) among many have pointed out the drawbacks of GDP while measuring the development.

  3. United Nations Development Programme (2015, 2016) Human Development Report 2016: Human Development for Everyone, New York, USA.

  4. A comprehensive review of literature on construction of development index can be found in Basel et al. (2020).

  5. Handbook on Constructing Composite Indicator—methodology and user guide, OECD (2008).

  6. As per the UN reports on World Economic Situation and Prospects (WESP), 2019. Can be accessed from https://unctad.org/en/pages/publications/World-Economic-Situation-and-Prospects-(Series).aspx.

  7. As per the Morgan Stanley Capital International Emerging Market Index 24 developing economies qualify as emerging markets, out of these 9 are present in C2 and remaining 9 are in C3, 6 are not included in this study.

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Acknowledgements

We gratefully acknowledge the anonymous referees and editor for valuable comments on an earlier draft.

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SB: Have made substantial contributions to the analysis and interpretation section of this work. KUG: Have made substantial contributions in drafting and revising the work. RPR: Have made substantial contributions to the conception and revising the work.

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Correspondence to Sayel Basel.

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Appendix 1: Grey relational coefficient

Appendix 1: Grey relational coefficient

Country

Social

Sustainability

Economic

Institution

Albania

0.649

0.625

0.496

0.778

Algeria

0.728

0.484

0.406

0.590

Argentina

0.733

0.574

0.688

0.472

Armenia

0.739

0.566

0.495

0.498

Australia

0.424

0.691

0.668

0.515

Austria

0.461

0.659

0.682

0.485

Azerbaijan

0.646

0.454

0.397

0.520

Bahrain

0.734

0.610

0.653

0.670

Bangladesh

0.639

0.610

0.641

0.490

Belarus

0.531

0.727

0.456

0.412

Belgium

0.652

0.609

0.574

0.650

Benin

0.590

0.573

0.521

0.536

Bolivia

0.635

0.565

0.535

0.483

Botswana

0.793

0.500

0.612

0.483

Brazil

0.622

0.499

0.470

0.521

Bulgaria

0.626

0.557

0.502

0.680

Cambodia

0.639

0.518

0.543

0.602

Cameroon

0.625

0.611

0.593

0.451

Canada

0.545

0.662

0.821

0.495

Chile

0.676

0.505

0.584

0.761

China

0.664

0.544

0.475

0.432

Colombia

0.661

0.482

0.625

0.539

Congo, Dem. Rep.

0.598

0.596

0.519

0.477

Costa Rica

0.598

0.605

0.502

0.698

Croatia

0.733

0.711

0.542

0.974

Cyprus

0.553

0.835

0.726

0.508

Czech Republic

0.592

0.642

0.509

0.732

Denmark

0.686

0.487

0.655

0.602

Dominican Republic

0.629

0.725

0.483

0.620

Ecuador

0.564

0.599

0.497

0.433

Egypt, Arab Rep.

0.660

0.704

0.503

0.628

El Salvador

0.684

0.862

0.567

0.600

Estonia

0.729

0.496

0.544

0.740

Finland

0.807

0.481

0.615

0.889

France

0.686

0.687

0.724

0.743

Gabon

0.642

0.462

0.548

0.481

Germany

0.787

0.614

0.598

0.572

Ghana

0.622

0.533

0.379

0.730

Greece

0.668

0.708

0.787

0.517

Guatemala

0.627

0.524

0.582

0.459

Haiti

0.630

0.619

0.448

0.826

Honduras

0.627

0.553

0.524

0.544

Hungary

0.692

0.618

0.624

0.747

Iceland

0.692

0.640

0.466

0.480

India

0.618

0.570

0.494

0.425

Indonesia

0.722

0.524

0.546

0.644

Iran, Islamic Rep.

0.624

0.798

0.494

0.457

Ireland

0.647

0.722

0.540

0.500

Israel

0.676

0.641

0.440

0.469

Italy

0.718

1.000

0.732

0.422

Jamaica

0.699

0.636

0.506

0.576

Japan

0.437

0.965

0.512

0.600

Jordan

0.696

0.615

0.431

0.431

Kazakhstan

0.718

0.458

0.439

0.363

Kenya

0.632

0.708

0.472

0.477

Korea, Rep.

0.554

0.566

0.467

0.574

Kuwait

0.504

0.654

0.416

0.729

Kyrgyz Republic

0.698

0.538

0.470

0.538

Malaysia

0.640

0.713

0.517

0.390

Malta

0.559

0.656

0.578

0.649

Mauritius

0.540

0.588

0.561

0.551

Mexico

0.651

0.703

0.520

0.725

Moldova

0.606

0.441

0.447

0.581

Mongolia

0.641

0.458

0.396

0.454

Morocco

0.651

0.579

0.468

0.402

Mozambique

0.581

0.461

0.348

0.478

Nepal

0.530

0.455

0.617

0.538

Netherlands

0.792

0.618

0.638

0.480

Nicaragua

0.596

0.578

0.557

0.499

Norway

1.000

0.542

0.635

0.861

Pakistan

0.579

0.664

0.500

0.502

Panama

0.697

0.580

0.525

0.692

Paraguay

0.725

0.615

0.422

0.613

Peru

0.607

0.557

0.511

0.691

Philippines

0.539

0.454

0.611

0.429

Poland

0.565

0.476

0.469

0.784

Portugal

0.554

0.669

0.740

0.703

Romania

0.656

0.456

0.462

0.455

Russian Federation

0.588

0.530

0.533

0.488

Saudi Arabia

0.838

0.574

0.419

0.472

Senegal

0.517

0.525

0.616

0.691

Singapore

0.873

0.677

0.486

0.759

Slovak Republic

0.708

0.676

0.535

0.616

Slovenia

0.853

0.768

0.682

0.620

South Africa

0.575

0.635

0.562

0.467

Spain

0.711

0.782

0.737

1.000

Sri Lanka

0.774

0.589

0.474

0.697

Sudan

0.529

0.726

0.412

0.487

Sweden

0.764

0.524

0.632

0.765

Switzerland

0.863

0.757

0.677

0.794

Tanzania

0.476

0.581

0.475

0.714

Thailand

0.992

0.660

0.500

0.545

Togo

0.468

0.623

0.431

0.495

Tunisia

0.699

0.669

0.752

0.472

Turkey

0.643

0.627

0.594

0.671

Ukraine

0.644

0.613

0.503

0.797

United Kingdom

0.781

0.695

0.815

0.607

United States

0.553

0.570

1.000

0.832

Uruguay

0.705

0.533

0.537

0.568

Vietnam

0.641

0.666

0.438

0.404

Yemen, Rep.

0.552

0.659

0.768

0.504

Zimbabwe

0.784

0.597

0.426

0.333

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Basel, S., Gopakumar, K.U. & Rao, R.P. Classification of countries based on development indices by using K-means and grey relational analysis. GeoJournal 87, 3915–3933 (2022). https://doi.org/10.1007/s10708-021-10479-2

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