Geospatial Analysis Requires a Different Way of Thinking: The Problem of Spatial Heterogeneity

Geospatial analysis is very much dominated by a Gaussian way of thinking, which assumes that things in the world can be characterized by a well-defined mean, i.e., things are more or less similar in size. However, this assumption is not always valid. In fact, many things in the world lack a well-defined mean, and therefore there are far more small things than large ones. This paper attempts to argue that geospatial analysis requires a different way of thinking - a Paretian way of thinking that underlies skewed distribution such as power laws, Pareto and lognormal distributions. I review two properties of spatial dependence and spatial heterogeneity, and point out that the notion of spatial heterogeneity in current spatial statistics is only used to characterize local variance of spatial dependence. I subsequently argue for a broad perspective on spatial heterogeneity, and suggest it be formulated as a scaling law. I further discuss the implications of Paretian thinking and the scaling law for better understanding of geographic forms and processes, in particular while facing massive amounts of social media data. In the spirit of Paretian thinking, geospatial analysis should seek to simulate geographic events and phenomena from the bottom up rather than correlations as guided by Gaussian thinking.Comment: 13 pages, 4 figures, and 3 table

Different Ways of Thinking about Street Networks and Spatial Analysis

Street networks, as one of the oldest infrastructures of transport in the world, play a significant role in modernization, sustainable development, and human daily activities in both ancient and modern times. Although street networks have been well studied in a variety of engineering and scientific disciplines, including for instance transport, geography, urban planning, economics, and even physics, our understanding of street networks in terms of their structure and dynamics remains limited, especially when dealing with such real-world problems as traffic jams, pollution, and human evacuations for disaster management. One goal of this special issue is to promote different ways of thinking about understanding street networks, and of conducting spatial analysis.Comment: 3 page

Spaces of the Past, Histories of the Present: An Interview with Stuart Elden and Derek Gregory

The ontologies of space and territory, our experience of them and the techniques we use to govern them, the very conception of the socio-spatial formations that we inhabit, are all historically specific: they depend on a genealogy of practices, knowledges, discourses, regulations, performances and representations articulated in a way that is extremely complex yet nevertheless legible over time. In this interview we look at the logic and the patterns that intertwine space and time — both as objects and tools of inquiry — though a cross-disciplinary dialogue. The discussion with Stuart Elden and Derek Gregory covers the place of history in socio-spatial theory and in their own work, old and new ways of thinking about the intersection between history and territory, space and time, the implications of geography and history for thinking about contemporary politics, and the challenges now faced by critical thought and academic work in the current neo-liberal attack on public universities and the welfare stat

The NSTP (Non - Spatial Thinking Process) Theory

The NSTP theory is a (philosophy of mind) semi-idealistic as well as semi-dualistic theory that the material universe, where some peculiar phenomena like quantum non-locality exist in, is exclusively a group of superhuman as well as non-superhuman thinking processes existing in the form of (non-spatial physical/material) feelings (i.e. states of consciousness). In computer terminology, it regards the (material) universe as a non-spatial computer, with hardware of (non-spatial) feelings and software of superhuman as well as non-superhuman thoughts/ideas, including those of space, which is then an illusive/virtual/merely apparent entity. The mere existence of the superhuman thoughts is responsible for the empirical (i.e. a posteriori) order in the non-superhuman ones. The theory, however, accepts the possibility of the reality of space, the space where the phenomena like quantum non-locality do not exist in. The theory is constituted of 6 axioms, 1 theorem, and 3 conjectures. The key strength and novelty in the theory lies in its axiomatic/self-evident foundation, its innovative semi-idealism and semi-dualism, and, in general, its road to idealism and dualism

Spatial Aggregation: Theory and Applications

Visual thinking plays an important role in scientific reasoning. Based on the research in automating diverse reasoning tasks about dynamical systems, nonlinear controllers, kinematic mechanisms, and fluid motion, we have identified a style of visual thinking, imagistic reasoning. Imagistic reasoning organizes computations around image-like, analogue representations so that perceptual and symbolic operations can be brought to bear to infer structure and behavior. Programs incorporating imagistic reasoning have been shown to perform at an expert level in domains that defy current analytic or numerical methods. We have developed a computational paradigm, spatial aggregation, to unify the description of a class of imagistic problem solvers. A program written in this paradigm has the following properties. It takes a continuous field and optional objective functions as input, and produces high-level descriptions of structure, behavior, or control actions. It computes a multi-layer of intermediate representations, called spatial aggregates, by forming equivalence classes and adjacency relations. It employs a small set of generic operators such as aggregation, classification, and localization to perform bidirectional mapping between the information-rich field and successively more abstract spatial aggregates. It uses a data structure, the neighborhood graph, as a common interface to modularize computations. To illustrate our theory, we describe the computational structure of three implemented problem solvers -- KAM, MAPS, and HIPAIR --- in terms of the spatial aggregation generic operators by mixing and matching a library of commonly used routines.Comment: See http://www.jair.org/ for any accompanying file

Primary students' spatial visualization and spatial orientation: an evidence base for instruction

This paper reports on the performance of 58 11 to 12-year-olds on a spatial visualization task and a spatial orientation task. The students completed these tasks and explained their thinking during individual interviews. The qualitative data were analysed to inform pedagogical content knowledge for spatial activities. The study revealed that “matching” or “matching and eliminating” were the typical strategies that students employed on these spatial tasks. However, errors in making associations between parts of the same or different shapes were noted. Students also experienced general difficulties with visual memory and language use to explain their thinking. The students’ specific difficulties in spatial visualization related to obscured items, the perspective used, and the placement and orientation of shapes

Spatial Theorizing in Comparative and International Education Research

The authors argue for a critical spatial perspective in comparative and international education. We briefly summarize how time and space have been conceptualized within our field. We then review mainstream social science literature that reflects a metanarrative, which we critique for contributing to false dichotomies between space and place and oversimplified views of the relationship between the global and the local. We present some of the key ideas associated with the “spatial turn,” including a relational understanding and productive capacity of space. In the final part of this article, we analyze the significance of new spatial theorizing for comparative and international education by reviewing examples of both comparative and educational researchers who are engaging with critical spatial theorizing. We argue that a possible way to confront binary thinking about space and place is by shifting attention to the relational conceptions of space, through analyses of networks, connections, and flows.Fil: Larsen, Marianne A.. No especifica;Fil: Beech, Jason. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentin