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Networks and Geospatial Change

Flows of resources, information,organizational interaction and people are essential components of space. Therefore, efficient representation of such flows in connection with representation of absolute space is essential to achieve a realistic perspective of spatial relations. This area of research studies the use of networks and graphs in models of geospatial change.

Research Team

The research team in this area includes Dr.Gilberto Câmara, Dr. Ana Paula Aguiar, Prof. Tiago Carneiro, PhD students Sergio Costa, Pedro Andrade,and Gilberto Ribeiro and MsC student Raian Maretto.

Generalized Proximity Matrices

The Generalized Proximity Matrix (GPM) is an extension of the usual definition of the spatial relations and includes a combination of neighborhood measures in the absolute space and in the relative space. The spatial relations are computed taking into account both absolute space relations such as Euclidean distance or adjacency and relative space relations such as topological connection on a network.

The GPM is available in the Terralib GIS library. Terralib includes a set of classes to create generalized proximity matrices, allowing the selection and combination of different criteria for construction (e.g., local adjacency and/or network connection), weighing (e.g., inverse of distance and/or minimum path) and slicing (e.g., distance zones and/or adjacency order). Multiple proximity matrices can also be used for different attributes, providing a rich environment for analyzing similarities and dissimilarities, and for exploring complex spatial processes.

Papers and Reports

Modeling Spatial Relations by Generalized Proximity Matrices. Ana Aguiar, Gilberto Câmara, Ricardo Cartaxo Souza. V Brazilian Symposium in Geoinformatics, GeoInfo 2003, Campos do Jordão, 2003.

Modelling and Simulation of Complex Systems with Geospatial Agents. PhD Thesis Proposal, 2008. This proposal uses the GPM to model the interaction between agents and space.

Irregular Cellular Spaces: Supporting Realistic Spatial Dynamic Modeling using Geographical Databases. Tiago Carneiro, Gilberto Câmara, Raian Maretto. X Brazilian Symposium on Geoinformatics, GeoInfo 2008, Rio de Janeiro, 2008.


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