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EN
Regional studies cover a spectrum of diversified phenomena and problems including social, economic and environmental ones, which refer to territorial units. Owing to their specific characteristics they are most frequently of both multivariate and complex nature. Conducting regional research is associated with the need to consider such difficulties as large data sets, insufficient precision of phenomena description, disregarding territorial diversification of a given phenomenon, as well as incomplete description of problems. The objective of the paper is to suggest solutions to these problems by means of symbolic approach application which basically consists in presenting phenomena in the form of symbolic data. The first part of the paper discusses specific nature of symbolic data, methods for collecting symbolic data and methods for these data analysis. The second part presents an empirical example referring to the assessment of labour market situation in Polish regions (NTS-2) using symbolic data and cluster analysis.
EN
Spatial analyses suffer from modifiable areal unit problem (MAUP). This occurs while operating on aggregated data determined for high-level territorial units, e.g. official statistics for countries. Generalization process deprives the data of variation. Carrying out research excluding territorial distribution of a phenomenon affects the analysis results and reduces their reliability. The paper proposes to use symbolic data analysis (SDA) to reduce MAUP. SDA proposes an alternative form of individual data aggregation and deals with multivariate analysis of interval-valued, multi-valued and histogram data. The paper discusses the scale effect of MAUP which occurs in a gravity model of population migrations and shows how SDA can deal with this problem. Symbolic interval-valued data was used to determine the economic distance between regions which served as a separation function in the model. The proposed approach revealed that economic disparities in Poland are lower than official statistics show but they are still one of the most important factors of domestic migration flows.
EN
The objective of the hereby article is an attempt to provide an answer to a question regarding life quality (standard) of inhabitants in Polish subregional communities with particular emphasis on these which cover large urban units or areas of high population density in 2009. The analysis was performed by means of synthetic measure constructed on the basis of indicators collected in four aspects: 'Access to goods and services', 'Health and access to health care', 'Social problems' and 'Education and culture'. The analysis applies linear ordering methods (standardized sums method) and Mahalanobis distance in order to evaluate properties differentiation in particular classes.
EN
Clustering problem is addressed in many contexts and disciplines. Although there are numerous studies on cluster analysis, there is a lack of a review to complete and systematize knowledge of research approach depending on data form. The paper presents a concept of clustering, classifications of cluster analysis methods, comparison of numerical and symbolic taxonomy, specificity of symbolic data as regards classical data, methods of numerical and symbolic data analysis applicable in clustering procedure.
PL
Celem artykułu jest usystematyzowanie wiedzy na temat analizy skupień w zależności od rodzaju danych empirycznych opisujących problem badawczy. W artykule zaprezentowano cele analizy skupień, dokonano klasyfikacji metod analizy skupień, porównano metody taksonomii numerycznej i symbolicznej. Omówiono także specyfikę danych symbolicznych w odniesieniu do danych w ujęciu klasycznym oraz ich źródła w badaniach ekonomicznych. Wskazano metody statystyczne, jakie mają zastosowanie w analizie danych klasycznych i symbolicznych na każdym etapie procedury klasyfikacji.
EN
The subject of this paper is to consider internal migration phenomena in Poland in the years 2008-2011 with application of the gravity model. The period of time covers world financial and economic crisis which hinders economic growth in Poland and impedes internal migration flows. In the investigation 16 Polish voivodships were considered. The values of migration flows (for a permanent residence), related to inter- and intraregional flows constitute a dependent variable. As explanatory variables GDP per capita and registered unemployment rate, for which separate gravity models were specified, including also geographical distance, were selected. Estimation results provide an evaluation of an intensity and direction influence of explanatory variables on migration phenomena. Voivodships about relatively good economic situation are the centres of population inflow (particularly from neighbouring regions) and their net migration is positive. Territorial mobility of population of poor regions is very low.
EN
The objective of the article was to re-define the bipolar metropolitan area within the area of the Kujawsko-Pomorskie region (NUTS 2). Concentration of metropolitan features, as well as socio-economic situations of its communes (NUTS 5) in 2011, and also the dynamics of communes’ development in the period 2009-2011 were considered in the procedure of delimitation. Bydgoszcz and Toruń, as the economically strongest cities in the region, were established as the dual core of the bipolar metropolitan area. It was assumed that the determined metropolitan area would cover the best developed and the fastest developing communes which met the following criteria of a metropolitan area: neighbourhood, continuity, compactness, maximum distance and population. The development levels of the communes were determined with the use of syn-thetic measure. Its values were calculated considering the economic (e.g. the amount of income) and also social (e.g. unemployment) aspects of regional devel-opment, as well as features typical of metropolitan areas, such as: well-developed sectors of R&D, knowledge-based economy and serving superior services. In the research, linear arrangement methods classifying as taxonomic tools of multivari-ate data analysis was applied. The metropolitan area resulting from the research (BipOM) slightly differs from the Bydgoszcz-Toruń Metropolitan Area (B-TOM) which was formally ap-pointed in 2005 and composed all of the communes located within the area of the Bydgoski and Toruński districts (NUTS 4). Chełmża and Koronowo, as the less developed communes of the districts, were excluded from the new metropolitan area, while the communes of Ciechocinek, Nakło and Unisław, belonging to the neighbouring districts of the region, were included in the BipOM due to their significant level of regional development and its dynamics. Furthermore the Inowrocław district (bordered on the BipOM) was identified as the prospective candidate for the BipOM, due to the fact that its communes demonstrate a high potential for regional development.
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