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Data cubes and matrix formulae for convenient handling of physical flow data
Linköping University, Department of Mathematics, Statistics. Linköping University, Faculty of Arts and Sciences.
Linköping University, Department of Mathematics, Statistics. Linköping University, Faculty of Arts and Sciences.
Statistics, Sweden in Stockholm, Sweden.
2006 (English)In: Journal of Industrial Ecology, ISSN 1088-1980, Vol. 10, no 1-2, 43-60 p.Article in journal (Refereed) Published
Abstract [en]

If the technosphere and the biosphere are divided into cells, the presence and turnover of a substance in a study area can be summarized in a vector of stocks and a matrix of flows between different pairs of cells. Likewise the stocks and flows of several substances or materials in one or more time periods can be summarized in multidimensional data cubes. In this article, we provide a theoretical framework for handling physical flow data, and we demonstrate how a set of matrix operations can facilitate exploratory analysis and quality assessment of such data regardless of the number of substances, materials, and time periods considered. In particular, we show how matrices and cubes of flow data can be recalculated when the collection of cells is modified by joining cells, and also what information is required to recalculate flows when cells are split. Furthermore, we illustrate how and under what circumstances substance-flow data originating from different studies with different collections of cells can be compared or merged. The generic character of the given formulae facilitates the development of software for physical flow data.

Place, publisher, year, edition, pages
2006. Vol. 10, no 1-2, 43-60 p.
Keyword [en]
Aggregation, Disaggregation, Matrix operations, Multidimensional data arrays, Substance flows, Theoretical framework
National Category
Social Sciences
Identifiers
URN: urn:nbn:se:liu:diva-50041DOI: 10.1162/108819806775545439OAI: oai:DiVA.org:liu-50041DiVA: diva2:270937
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2012-12-17
In thesis
1. Organizing physical flow data: from input-output tables to data warehouses
Open this publication in new window or tab >>Organizing physical flow data: from input-output tables to data warehouses
2005 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Data on flows of materials and substances through the economy and the environment are collected by many different organizations and play a key role in the science of industrial ecology. In this thesis, a framework is suggested for structuring and organizing such data. First, the investigation focuses on the quantities of primary interest in material flow studies and how they can be stored and organized in a data warehouse. This process is shown to provide easy access to data, well-structured data management, a basis for knowledge discovery, and effective analysis of collected data. Secondly, a theoretical framework is proposed for handling and structuring multidimensional flow data, and for facilitating mathematics-assisted modeling in industrial ecology. In particular, it is shown how mathematical operations can be used to merge and compare flow data originating from different studies. Finally, it is illustrated how bootstrap analysis, Bayesian models and balancing procedures can be employed to systematize the quality and uncertainty assessment of physical flow data. Together, these three different aspects of handling physical flow data constitute a new framework that offers better knowledge, quality, and consistency of the data used in industrial ecology.

Place, publisher, year, edition, pages
Linköping: Linköpings universitet, 2005. 42 p.
Series
Linköping Studies in Statistics, ISSN 1651-1700 ; 5
National Category
Mathematics
Identifiers
urn:nbn:se:liu:diva-30083 (URN)15549 (Local ID)91-85297-55-0 (ISBN)15549 (Archive number)15549 (OAI)
Public defence
2005-09-30, Glashuset, B-huset, Campus Valla, Linköping, 10:15 (Swedish)
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2012-12-17

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Löfving, ErikGrimvall, Anders

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