scholarly journals A New Areal Interpolation Method Based on Spatial Statistics

2011 ◽  
Vol 21 ◽  
pp. 230-239 ◽  
Author(s):  
Daisuke Murakami ◽  
Morito Tsutsumi
Keyword(s):  
Spatial Statistics ◽  
Interpolation Method ◽  
Areal Interpolation

scholarly journals Urban form and social cohesion: the socio-morphological definition of the residential fabrics of the Metropolitan Area of Barcelona

2017 ◽  
Author(s):  
Rosina Vinyes ◽  
Sergio Porcel ◽  
Fernando Anton ◽  
Mariona Figueras ◽  
Laia Molist
Keyword(s):  
Metropolitan Area ◽  
Social Cohesion ◽  
Urban Form ◽  
Interpolation Method ◽  
Urban Morphology ◽  
New Approach ◽  
Areal Interpolation ◽  
Morphological Aspects ◽  
Definition Of ◽  
First Time

Social inequality has become of great importance nowadays, and it is in metropolitan areas where it appears to be more intense. Thus, inequality becomes unavoidable when rethinking the contemporary cities. To get a grasp of this phenomenon, for the first time in the metropolitan area of Barcelona, a common look between urban morphology and social cohesion is made. The goal is to describe the socio-morphologic structure of the metropolitan territory, which is the result of combining both categorizations and maps of the existing sociological and morphological aspects. For such purpose, a two-stage methodology has been used. The first stage develops the quantitative and qualitative criteria to overlap the two existing maps, and stablishes the areas that will be considered the new socio-morphologic fabrics. The second one applies the areal interpolation method to assign this socioeconomic and/or demographic information to these new fabrics. The result of this combination is a categorization of twenty-one types of fabrics that describes the socio-morphological metropolitan reality. This new categorization sheds light on a tight relationship between urban shape and social cohesion, both conditioning each other. Moreover, the new map shows socio-morphological similarities between distant areas and announces common urban strategies to achieve a larger urban equity. The interest of having this new approach increases when thinking in the new investigation lines that will be derived from there. One of them would be the evolutionary reconstruction, which will allow visualizing processes and ease the understanding of certain phenomena to foresee urban blight.

scholarly journals Using Areal Interpolation to Deal with Differing Regional Structures in International Research

2020 ◽  
Vol 9 (2) ◽  
pp. 126
Author(s):  
Pavlína Netrdová ◽  
Vojtěch Nosek ◽  
Pavol Hurbánek
Keyword(s):  
International Research ◽  
Interpolation Method ◽  
Hot Spot ◽  
Methodological Approach ◽  
Grid Structure ◽  
Areal Interpolation ◽  
Data Comparability ◽  
Administrative Units ◽  
Economic Analyses ◽  
Municipal Level

When working with regional data from different countries, issues concerning data comparability need to be solved, including regional comparability. Differing regional unit size is a common issue which influences the results of socio-economic analyses. In this paper, we introduce a strategy to deal with the regional incomparability of administrative data in international research. We propose a methodological approach based on the areal interpolation method, which facilitates the usage of advanced spatial analyses. To illustrate, we analyze spatial patterns of unemployment in seven Central European countries. We use a very detailed spatial (municipal) level to reveal local tendencies. To have comparable units across the whole region, we apply the areal interpolation method, a process of projecting data from source administrative units to the target structure of a grid. After choosing the most suitable grid structure and projecting the data onto the grid, we perform a hot spot analysis to show the benefits of the grid structure for socio-economic analyses. The proposed approach has great potential in international research for its methodological correctness and the ability to interpret results.

Ab initio band theory approach to electron energy loss near edge structures

1988 ◽  
Vol 46 ◽  
pp. 506-507
Author(s):  
Xudong Weng ◽  
O.F. Sankey ◽  
Peter Rez
Keyword(s):  
Ab Initio ◽  
Local Density ◽  
Interpolation Method ◽  
Atomic Orbital ◽  
Plane Waves ◽  
Large Set ◽  
Theory Approach ◽  
Band Theory ◽  
Atomic Orbitals ◽  
Pseudopotential Calculations

Single electron band structure techniques have been applied successfully to the interpretation of the near edge structures of metals and other materials. Among various band theories, the linear combination of atomic orbital (LCAO) method is especially simple and interpretable. The commonly used empirical LCAO method is mainly an interpolation method, where the energies and wave functions of atomic orbitals are adjusted in order to fit experimental or more accurately determined electron states. To achieve better accuracy, the size of calculation has to be expanded, for example, to include excited states and more-distant-neighboring atoms. This tends to sacrifice the simplicity and interpretability of the method.In this paper. we adopt an ab initio scheme which incorporates the conceptual advantage of the LCAO method with the accuracy of ab initio pseudopotential calculations. The so called pscudo-atomic-orbitals (PAO's), computed from a free atom within the local-density approximation and the pseudopotential approximation, are used as the basis of expansion, replacing the usually very large set of plane waves in the conventional pseudopotential method. These PAO's however, do not consist of a rigorously complete set of orthonormal states.

Sign in / Sign up

Export Citation Format

Share Document