Abstract
Poverty can be seen as a multidimensional phenomenon. A one-dimensional measure of poverty serving as a ranking index can be obtained by aggregating the different poverty aspects into a single scalar. Ranking indexes are thought of as supporting political decisions. We propose an alternative view based on simple concepts of partial order theory and illustrate the pros and cons of this approach taking as case study a multidimensional measure of poverty comprising three components—absolute poverty, relative poverty, and income—computed for the European Union regions. The analysis enables to highlight conflicts across the poverty components with some regions detected as controversial, with for example low levels of relative poverty and high levels of monetary poverty.
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References
Annoni P, Weziak-Bialowolska D (2016) A measure to target anti-poverty policies in the European Union regions. Appl Res Qual Life 11(1):181–207
Annoni P, Bruggemann R, Carlsen L (2015) A multidimensional view on poverty in the European Union by partial order theory. J Appl Stat 42(3):535–554
Birkhoff G (1984) Lattice theory, vol XXV. American mathematical society, Providence
Bruggemann R, Carlsen L (2014) Incomparable—what now? MATCH Commun Math Comput Chem 71:694–716
Bruggemann R, Patil GP (2011) Ranking and prioritization for multi-indicator systems—introduction to partial order applications. Springer, New York
Bruggemann R, Carlsen L, Voigt K, Wieland R (2014) PyHasse software for partial order analysis. In: Bruggemann R, Carlsen L, Wittmann J (eds) Multi-indicator systems and modelling in partial order. Springer, New York, pp 389–423
Carlsen L, Bruggemann R, Kenessova O, Erzhigitov E (2015) Evaluation of analytical performance based on partial order methodology. Talanta 132:285–293
Decancq K, Lugo MA (2013) Weights in multidimensional indices of wellbeing: an overview. Econ Rev 32:7–34
Fattore M (2015) Partially ordered sets and the measurement of multidimensional ordinal deprivation. Soc Indic Res. Published online. doi:10.1007/s11205-015-1059-6
Foster J, Greer J, Thorbecke E (1984) A class of decomposable poverty measures. Econometrica 52:761–765
Munda G (2008) Social multi-criteria evaluation for a sustainable economy. Springer, Heidelberg
Neggers J, Kim H (1998) Basic posets. World Scientific, Singapore
Törmälehto V-M, Sauli H (2010) Distributional impact of imputed rent in EU-SILC. Eurostat Methodol. Work. Pap., pp 1–78
Trotter WT (1992) Combinatorics and partially ordered sets: dimension theory. The Johns Hopkins University Press, Baltimore
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Appendix
Appendix
Starting multi-indicator system matrix (scores are oriented in order to have: the higher the score, the lower the level of poverty)
Country | Region code | Region name | Absolute poverty index | Relative poverty index | Earnings and income index |
---|---|---|---|---|---|
AT | AT1 | Ostösterreich | 5.4 | 5.7 | 6.0 |
AT | AT2 | Südösterreich | 5.8 | 6.1 | 5.6 |
AT | AT3 | Westösterreich | 5.8 | 6.4 | 5.8 |
BE | BE1 | Région de Bruxelles-Capitale/Brussels Hoofdstedelijk Gewest | 4.6 | 2.1 | 5.9 |
BE | BE2 | Vlaams Gewest | 5.8 | 6.1 | 6.0 |
BE | BE3 | Région Wallonne | 5.1 | 4.7 | 5.4 |
BG | BG3 | Severna i Iztochna Bulgaria | 1.6 | 3.5 | 2.8 |
BG | BG4 | Yugozapadna i Yuzhna Centralna Bulgaria | 2.7 | 5.0 | 3.2 |
CY | CY0 | Kύπρoς/Kypros | 4.5 | 6.1 | 5.6 |
CZ | CZ01 | Praha | 5.5 | 6.4 | 5.7 |
CZ | CZ02 | Střední Čechy | 5.5 | 6.2 | 4.2 |
CZ | CZ03 | Jihozápad | 5.5 | 6.3 | 4.1 |
CZ | CZ04 | Severozápad | 5.0 | 5.0 | 3.8 |
CZ | CZ05 | Severovýchod | 5.2 | 5.9 | 4.0 |
CZ | CZ06 | Jihovýchod | 5.5 | 5.8 | 4.1 |
CZ | CZ08 | Moravskoslezsko | 4.9 | 5.0 | 4.0 |
DE | DE | Deutschland | 5.5 | 4.4 | 5.4 |
DK | DK | Danmark | 5.9 | 5.1 | 4.6 |
CZ | CZ07 | Střední Morava | 5.3 | 5.5 | 3.9 |
EE | EE | Eesti | 4.9 | 5.2 | 3.6 |
ES | ES11 | Galicia | 5.3 | 5.3 | 4.9 |
ES | ES12 | Principado de Asturias | 5.5 | 5.9 | 5.4 |
ES | ES13 | Cantabria | 5.7 | 5.9 | 5.3 |
ES | ES21 | País Vasco | 5.7 | 5.9 | 6.1 |
ES | ES22 | Comunidad Foral de Navarra | 5.8 | 6.5 | 6.0 |
ES | ES23 | La Rioja | 5.7 | 5.0 | 5.3 |
ES | ES24 | Aragón | 5.9 | 5.6 | 5.5 |
ES | ES30 | Comunidad de Madrid | 5.5 | 5.0 | 5.8 |
ES | ES41 | Castilla y León | 5.5 | 4.5 | 5.1 |
ES | ES42 | Castilla-La Mancha | 5.4 | 3.8 | 4.7 |
ES | ES43 | Extremadura | 5.3 | 3.2 | 4.5 |
ES | ES51 | Cataluña | 5.5 | 4.9 | 5.5 |
ES | ES52 | Comunidad Valenciana | 5.3 | 4.8 | 5.0 |
ES | ES53 | Illes Balears | 5.3 | 4.5 | 5.3 |
ES | ES61 | Andalucía | 5.0 | 3.3 | 4.6 |
ES | ES62 | Región de Murcia | 5.2 | 3.3 | 4.6 |
ES | ES70 | Canarias | 4.6 | 3.6 | 4.7 |
FI | FI13 | Itä-Suomi | 6.0 | 5.4 | 4.6 |
FI | FI18 | Etelä-Suomi | 5.9 | 5.9 | 5.2 |
FI | FI19 | Länsi-Suomi | 6.0 | 5.6 | 4.8 |
FI | FI1A | Pohjois-Suomi | 6.2 | 5.7 | 4.7 |
FR | FR10 | Île de France | 5.2 | 5.9 | 6.8 |
FR | FR20 | Bassin Parisien | 5.5 | 6.1 | 5.3 |
FR | FR30 | Nord - Pas-de-Calais | 5.3 | 5.4 | 5.1 |
FR | FR40 | Est | 5.39 | 6.16 | 5.36 |
FR | FR50 | Ouest | 5.56 | 6.43 | 5.25 |
FR | FR60 | Sud-Ouest | 5.35 | 5.59 | 5.35 |
FR | FR70 | Centre-Est | 5.62 | 6.14 | 5.54 |
FR | FR80 | Méditerranée | 4.99 | 4.79 | 5.30 |
GR | GR1 | Voreia Ellada | 4.46 | 2.67 | 4.64 |
GR | GR2 | Kentriki Ellada | 4.42 | 2.99 | 4.54 |
GR | GR3 | Attiki | 4.51 | 4.51 | 5.35 |
GR | GR4 | Nisia Aigaiou, Kriti | 4.11 | 4.38 | 4.82 |
HU | HU1 | Közép-Magyarország | 3.97 | 6.22 | 4.90 |
HU | HU2 | Dunántúl | 4.34 | 6.08 | 3.68 |
HU | HU3 | Alföld És Észak | 3.69 | 5.15 | 3.40 |
IE | IE0 | Ireland | 5.40 | 5.76 | 5.32 |
IT | ITC | Nord-Ovest | 5.04 | 5.68 | 5.72 |
IT | ITD | Nord-Est | 4.95 | 6.07 | 5.61 |
IT | ITE | Centro (I) | 4.82 | 5.52 | 5.48 |
IT | ITF | Sud | 4.04 | 3.15 | 4.49 |
IT | ITG | Isole | 3.73 | 2.97 | 4.54 |
LT | LT0 | Lietuva | 4.20 | 4.86 | 3.76 |
LU | LU0 | Luxembourg (Grand-Duché) | 5.93 | 5.86 | 8.15 |
LV | LV0 | Latvija | 2.99 | 3.93 | 3.34 |
MT | MT0 | Malta | 5.41 | 5.94 | 5.18 |
NL | NL | Nederland | 5.87 | 5.48 | 6.02 |
PL | PL1 | Region Centralny | 3.90 | 5.51 | 4.00 |
PL | PL2 | Region Południowy | 3.99 | 5.34 | 3.59 |
PL | PL3 | Region Wschodni | 3.88 | 4.55 | 3.06 |
PL | PL4 | Region Północno-Zachodni | 3.91 | 5.06 | 3.48 |
PL | PL5 | Region Południowo-Zachodni | 3.70 | 5.23 | 3.53 |
PL | PL6 | Region Północny | 3.68 | 5.17 | 3.40 |
PT | PT | Portugal | 4.32 | 5.19 | 4.25 |
RO | RO11 | Nord-Vest | 2.47 | 3.03 | 2.81 |
RO | RO12 | Centru | 2.67 | 3.31 | 2.79 |
RO | RO21 | Nord-Est | 2.18 | 3.37 | 2.57 |
RO | RO22 | Sud-Est | 2.45 | 1.84 | 2.74 |
RO | RO31 | Sud - Muntenia | 3.35 | 5.05 | 2.78 |
RO | RO32 | Bucureşti - Ilfov | 2.94 | 4.77 | 4.19 |
RO | RO41 | Sud-Vest Oltenia | 3.28 | 3.23 | 2.86 |
RO | RO42 | Vest | 3.33 | 4.36 | 3.01 |
SE | SE1 | Östra Sverige | 5.67 | 5.31 | 5.62 |
SE | SE2 | Södra Sverige | 5.75 | 5.13 | 5.18 |
SE | SE3 | Norra Sverige | 5.79 | 4.91 | 4.99 |
SI | SI | Slovenija | 4.92 | 6.11 | 5.23 |
SK | SK0 | Slovenská Republika | 5.16 | 5.70 | 3.87 |
UK | UK | United Kingdom | 5.56 | 3.83 | 5.47 |
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Annoni, P., Bruggemann, R., Carlsen, L. (2017). Peculiarities in Multidimensional Regional Poverty. In: Fattore, M., Bruggemann, R. (eds) Partial Order Concepts in Applied Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-45421-4_8
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