Generalized Procedures for Evaluating Spatial Autocorrelation

Hubert, Lawrence; Golledge, Reginald G.; Costanzo, C. Michael

doi:10.1111/j.1538-4632.1981.tb00731.x

Cited by 158 publications

(40 citation statements)

References 20 publications

(9 reference statements)

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“…The ap lication of the I' index to spatial autocorrelation in a wide range of contexts 1985; Hubert, Golledge, and Costanzo 1981;Hubert et al 1985; is x escribed in a series of papers by Hubert and Golledge (for example, Hubert Hubert, and Golledge 1983).4 Such an index consists of the sum of the cross products of the matching elements a,j and bij in two matrices of similarity, say A and B, such that i j…”

Section: Local Gammamentioning

confidence: 99%

Local Indicators of Spatial Association—LISA

Anselin

1995

Geographical Analysis

9,406

5,603

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The capabilities for visualization, rapid data retrieval, and manipulation in geographic information systems (GIS) have created the need for new techniques of exploratory data analysis that focus on the “spatial” aspects of the data. The identification of local patterns of spatial association is an important concern in this respect. In this paper, I outline a new general class of local indicators of spatial association (LISA) and show how they allow for the decomposition of global indicators, such as Moran's I, into the contribution of each observation. The LISA statistics serve two purposes. On one hand, they may be interpreted as indicators of local pockets of nonstationarity, or hot spots, similar to the Gi and G*i statistics of Getis and Ord (1992). On the other hand, they may be used to assess the influence of individual locations on the magnitude of the global statistic and to identify “outliers,” as in Anselin's Moran scatterplot (1993a). An initial evaluation of the properties of a LISA statistic is carried out for the local Moran, which is applied in a study of the spatial pattern of conflict for African countries and in a number of Monte Carlo simulations.

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Section: Local Gammamentioning

confidence: 99%

Local Indicators of Spatial Association—LISA

Anselin

1995

Geographical Analysis

9,406

5,603

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“…We used the quadratic assignment procedure (QAP) correlation test, which is functionally equivalent to a Mantel matrix permutation test (Legendre & Fortin 2010). The QAP correlation test permutes the rows and columns of the observed matrix and recalculates the matrix-level correlation, then compares correlations from randomly permuted matrices to the observed matrix to determine whether observed correlations are significantly higher than those from the permuted matrices (Hubert et al 1981;Krackhardt 1988;Borgatti et al 2002;Croft et al 2011). We conducted QAP correlations with 5000 permutations using the program UCINET v.6.318 (Analytic Technologies, Harvard, MA, U.S.A.).…”

Section: Stabilization Of Global Social Structurementioning

confidence: 99%

An analytical framework for quantifying and testing patterns of temporal dynamics in social networks

Hobson

Avery²,

Wright

2013

Animal Behaviour

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: association strength monk parakeet multiscale approach Myiopsitta monachus network formation social structure temporal analysisChange is fundamental to all social systems. Temporal dynamics are critical in understanding how relationships form and change over time but rarely are studied explicitly in animal groups. Social network approaches are useful in describing association patterns and provide promising tools for investigating the dynamics of change in social structure but have rarely been used to quantify how animal associations change over time. In this study, we describe and test a framework for temporal analysis of social structure. We propose an analytical framework of methods that integrates across social scales and comparatively analyses change in social structure across multiple types of social association. These methods enable comparisons in groups that differ in size and are flexible to allow application to weighted and unweighted networks, where ties can be directed or undirected, and relationships can be symmetric or asymmetric. We apply this analytical framework to temporal social network data from experimentally formed captive groups of monk parakeets, Myiopsitta monachus, to both evaluate our analysis methods and characterize the social structure of this species. We compared dynamics of dyadic network formation, ego network formation and global network stabilization patterns across neutral, affiliative and agonistic associations. We found that social structure of captive monk parakeets formed and stabilized over a short period, but patterns differed by social association type. We also found evidence for consistency in the temporal dynamics of formation and stabilization of social structure between replicate social groups. Our analysis methods successfully identified change in social structure that corresponded well with qualitative observations. This framework is likely to be useful in characterizing patterns of temporal dynamics in social structure in longitudinal data in wide variety of social systems and species. Ó

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“…However, when dealing with spatial data, the existence of spatial autocorrelation often leads to violations of the basic assumptions for OLS (Tobler, 1970;Hubert et al, 1981;Getis, 1990). The eigenvector-based spatial filtering (ESF) service provides an effective spatial regression model to handle with spatial autocorrelations.…”

Section: Analys Is Of Es F Algorithmmentioning

confidence: 99%

Making Spatial Statistics Service Accessible On Cloud Platform

et al. 2014

Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.

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KEY WORDS: Web service, Cloud platform, M icrosoft Windows Azure, Eigenvector-based spatial filtering, Regression analysis, DLL ABS TRACT:Web service can bring together applications running on diverse platforms, users can access and share various data , information and models more effectively and conveniently from certain web service platform. Cloud computing emerges as a paradigm of Internet computing in which dynamical, scalable and often virtualized resources are provided as services. With the rampant growth of massive data and restriction of net, traditional web services platforms have some prominent problems existing in development such as calculation efficiency, maintenance cost and data security. In this paper, we offer a spatial statistics service based on M icrosoft cloud. An experiment was carried out to evaluate the availability and efficiency of this service. The results show that this spatial statistics service is accessible for the public conveniently with high processing efficiency.

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Generalized Procedures for Evaluating Spatial Autocorrelation

Cited by 158 publications

References 20 publications

Local Indicators of Spatial Association—LISA

Local Indicators of Spatial Association—LISA

An analytical framework for quantifying and testing patterns of temporal dynamics in social networks

Making Spatial Statistics Service Accessible On Cloud Platform

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