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Local indicator of spatial association-LISA

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... 16 Visualisasi secara spasial dari indeks lokal Moran terdapat dalam LISA cluster map. Peta klaster berdasarkan LISA ini dapat memperlihatkan kabupaten/kota mana saja yang memiliki karakteristik yang sama atas parameter tertentu berdasarkan pola spasial yang terbentuk (Anselin, 1995). Berdasarkan pola tersebut dapat disimpulkan apakah kabupaten/kota yang berdekatan memiliki keterkaitan spasial atau terjadi interaksi secara ekonomi (Rey dan Montouri, 1999). ...
... Berdasarkan pola tersebut dapat disimpulkan apakah kabupaten/kota yang berdekatan memiliki keterkaitan spasial atau terjadi interaksi secara ekonomi (Rey dan Montouri, 1999). Indeks lokal Moran dinyatakan konsisten jika rata-rata dari indeks lokal Moran sama dengan indeks global Moran, atau memiliki perbandingan hingga skala tertentu yang diijinkan (Anselin, 1995). Dengan demikian, hasil perhitungan atas indeks global Moran dengan lokal Moran yang direpresentasikan secara visual dalam LISA akan saling melengkapi satu dengan yang lain. ...
... Visualisasi spasial dari indeks lokal Moran dapat dilakukan melalui LISA cluster map. Dengan menggunakan LISA cluster map, dapat diketahui secara lebih detail kabupaten/kota mana saja yang terkait secara spasial (Anselin, 1995), seperti yang terlihat pada Gambar 4. ...
Article
Penelitian ini bertujuan untuk mengidentifikasi tipologi kabupaten/kota di Provinsi Jawa Timur dan menganalisis efek limpahan pertumbuhan antar-kabupaten/kota. Alat analisis yang dipergunakan adalah Tipologi Klaassen, identifikasi kutub pertumbuhan berdasarkan definisi yang dikemukakan oleh Richardson, perhitungan efek limpahan pertumbuhan, serta deteksi autokorelasi spasial dengan indeks lokal Moran dan Local Indicators of Spatial Association (LISA). Hasil penelitian ini menunjukkan bahwa kabupaten/kota yang tergolong maju dan cepat tumbuh pada tahun 2001 hingga 2013 terpusat di kawasan tengah Provinsi Jawa Timur. Konsistensi sebagai daerah cepat tumbuh dan maju/kaya yang merupakan indikator kutub pertumbuhan, ditunjukkan oleh Kota Surabaya.
... The underlying null hypothesis of the Anselin Local Moran's I statistic is that the spatial pattern of the variable is random, i.e., that there is no spatial autocorrelation, meaning that the values of the variable are spatially independent of each other and that observed cluster or other spatial pattern is due to random factors [41]. This statistic geographically represents local groups with extremely high or low rates, comparing the rate of a municipality with that of adjacent municipalities [42]. Positive or negative statistical values demonstrate a homogeneous grouping of high or low rates, respectively [43]. ...
... Positive or negative statistical values demonstrate a homogeneous grouping of high or low rates, respectively [43]. Local Spatial Association Indicators (LISA) are statistics created by Anselin and colleagues [42], whose purpose is to break down global statistics such as Moran's I into their local components to identify spatially varying observations and outliers. We determined the Cluster and Outlier Analysis (Anselin Local Moran's I) for the rates of each studied mosquito-borne infection and for the counts of mosquitos capable of transmitting each of the studied infections. ...
... Finally, in very heterogeneous areas, the method may present difficulties in interpreting spatial patterns, especially when different sub-regions have different dynamics. To mitigate these limitations, the application of complementary approaches, such as spatiotemporal analysis or spatial regression, would be recommended [42,61,62]. ...
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Background The incidence of mosquito-borne infections has increased worldwide. Mainland Portugal’s characteristics might favour the (re)emergence of mosquito-borne diseases. This study aimed to characterize the spatial distribution of vectors and notification rates of imported cases of mosquito-borne infections in mainland Portugal and demarcate the areas where these geographies overlap. Methods We used data from imported cases of malaria, dengue and Zika from 2009 to 2019, alongside data on the presence of mosquitoes capable of potentially transmitting these diseases at the municipality level (2009–2018). This data was provided by the National Epidemiological Surveillance System and Regional Health Administrations, based on reports from the Vector Surveillance Network. While the mosquitoes in question do not currently transmit these diseases, they have the potential to do so if there is a significant increase in pathogen circulation. A spatial cluster analysis was performed using the univariate Local Moran Index, the Bivariate Moran Local Index and the Mann-Kendall method. Results We found significant spatial variability in both notification rates of imported mosquito-borne infections and the distribution of competent mosquito species. We identified clusters of simultaneous high concentrations of vectors and imported cases of malaria in Condeixa-a-Nova (Coimbra), Cuba (Beja), Santiago do Cacém (Setúbal), Albufeira and São Brás de Alportel (Faro), most located on the Southern coast of Portugal. For dengue, we detected clusters of simultaneous high concentrations of vectors and imported cases in Paredes, in the Northern region, and Faro, on the southern coast. For Zika, no clusters were identified. Conclusion This study identified areas with high notification rates of imported cases and the presence of competent vectors. Surveillance, control, and awareness efforts are essential, as these areas may present higher risks for local transmission in the future if ecological conditions remain or become suitable, potentially evolving into foci for disease transmission.
... For infectious disease outbreaks, timely information on case spread in space and time is essential for public health officials to take action. Space-time cluster detection methods are instrumental in monitoring the dynamic spread of infectious diseases, as they concurrently investigate time, place, and person [8][9][10] . However, despite extensive studies on spatial cluster techniques 11 , their applicability in dengue endemic countries, particularly Thailand, remains less evident. ...
... Anselin's Local Moran's I Anselin's Local Moran's I is a localized version of the global Moran's I statistic, specifically used to detect spatial autocorrelation within smaller areas of a study region 9 . It breaks down spatial association across the study area to identify localized clusters or outliers based on similarity or dissimilarity with neighboring values with a test on the null hypothesis of no local spatial association 9 . ...
... Anselin's Local Moran's I Anselin's Local Moran's I is a localized version of the global Moran's I statistic, specifically used to detect spatial autocorrelation within smaller areas of a study region 9 . It breaks down spatial association across the study area to identify localized clusters or outliers based on similarity or dissimilarity with neighboring values with a test on the null hypothesis of no local spatial association 9 . In practice, a high positive Local Moran's I indicates a cluster (where similar high or low values group together), while a negative value suggests an outlier (a location with values unlike its neighbors). ...
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Dengue fever poses a significant public health burden in tropical regions, including Thailand, where periodic epidemics strain healthcare resources. Effective disease surveillance is essential for timely intervention and resource allocation. Various methods exist for spatiotemporal cluster detection, but their comparative performance remains unclear. This study compared spatiotemporal cluster detection methods using simulated and real dengue surveillance data from Thailand. A simulation study explored diverse disease scenarios, characterized by varying magnitudes and spatial-temporal patterns, while real data analysis utilized monthly national dengue surveillance data from 2018 to 2020. Evaluation metrics included accuracy, sensitivity, specificity, positive predictive value, and negative predictive value. Bayesian models and FlexScan emerged as top performers, demonstrating superior accuracy and sensitivity. Traditional methods such as Getis Ord and Moran’s I showed poorer performance, while other scanning-based approaches like spatial SaTScan exhibited limitations in positive predictive value and tended to identify large clusters due to the inflexibility of its scanning window shape. Bayesian modeling with a space–time interaction term outperformed testing-based cluster detection methods, emphasizing the importance of incorporating spatiotemporal components. Our study highlights the superior performance of Bayesian models and FlexScan in spatiotemporal cluster detection for dengue surveillance. These findings offer valuable guidance for policymakers and public health authorities in refining disease surveillance strategies and resource allocation. Moreover, the insights gained from this research could be valuable for other diseases sharing similar characteristics and settings, broadening the applicability of our findings beyond dengue surveillance. Supplementary Information The online version contains supplementary material available at 10.1038/s41598-024-82212-1.
... Os mapas coropléticos foram elaborados no programa QGis v3.36.2, utilizando cinco classes definidas pelo método de quebras naturais (Jenks) 17 . Os índices Moran global e local foram calculados no GeoDa v1.22 com base na taxa de concessão de benefícios, conforme orientação de Anselin (1995) 15 . A matriz de pesos espaciais foi construída no GeoDa com o uso de contiguidade do "tipo rainha", em que os vizinhos compartilham uma borda comum ou um vértice. ...
... Os mapas coropléticos foram elaborados no programa QGis v3.36.2, utilizando cinco classes definidas pelo método de quebras naturais (Jenks) 17 . Os índices Moran global e local foram calculados no GeoDa v1.22 com base na taxa de concessão de benefícios, conforme orientação de Anselin (1995) 15 . A matriz de pesos espaciais foi construída no GeoDa com o uso de contiguidade do "tipo rainha", em que os vizinhos compartilham uma borda comum ou um vértice. ...
... Adotou-se a contiguidade de primeira ordem, que considera apenas vizinhos diretos. Segundo Anselin 15 , esse método é mais inclusivo e é utilizado quando qualquer forma de contato físico é importante como, por exemplo, em estudos ecológicos. ...
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OBJETIVO: Analisar os padrões de associação espacial da concessão de benefícios previdenciários a pessoas vivendo com HIV/aids no Brasil entre 2004 e 2016. MATERIAIS E MÉTODOS: Estudo do tipo ecológico, utilizando dados secundários do Ministério do Trabalho e Previdência Social. As análises foram realizadas com o uso de técnicas de autocorrelação espacial, nomeadamente os índices I de Moran Global e Local. RESULTADOS: Foram concedidos 73.066 benefícios. Macrorregiões de saúde das Regiões Norte e Nordeste do país se destacaram com a formação de aglomerados de padrão baixo-baixo quando analisadas as concessões de benefícios de forma geral, em relação ao sexo e nas áreas urbanas, enquanto o estado de Santa Catarina apresentou aglomerado de padrão alto-alto para essas mesmas variáveis. Apenas nas Regiões Norte e Nordeste foi observado aglomerado de padrão alto-alto para concessão de benefícios em áreas rurais. Em macrorregiões de saúde da Região Norte, observou-se principalmente a formação de aglomerados de padrão baixo-baixo quando analisada a idade no início da doença e da incapacidade laboral. Quando analisado o tempo médio decorrido entre o início da doença e da incapacidade, um extenso aglomerado de padrão baixo-baixo cobriu grande parte das Regiões Norte e Nordeste, e outro extenso aglomerado de padrão alto-alto formou-se nas Regiões Sul e Sudeste do país. CONCLUSÃO: Os dados apresentados refletem a vulnerabilidade social que as populações das Regiões Norte e Nordeste do Brasil estão submetidas em relação à aids, particularmente nos aspectos de informalidade do trabalho e dificuldade de acesso aos serviços de saúde e previdência social.
... The relation with the TEO, may be analysed with statistical methods such as correlations and the differences in diversification among them may be analysed employing a One-Way ANOVA. Finally, spatial statistics such as Global Moran I (Moran, 1948) and Local Indicator of Spatial Association (LISA) (local Moran's I) (Anselin, 1995) can identify spatial autocorrelation. ...
... For the analysis of spatial autocorrelation, a widely used measure is the global Moran index (I) (Moran, 1948), which evaluates the relationship of spatial interdependence between all polygons in the study area and expresses it through a single value for the study area (Moran, 1950, cited by O'Sullivan andUnwin, 2010;Luzardo et al., 2017;Alidadi et al., 2023). The global Moran's I analyse spatial autocorrelation for an entire area providing a single value and the local indicators of spatial association (LISA) measure spatial autocorrelation at each location (Anselin, 1995;Fu et al., 2014). Several studies have implemented this methodology (Global and Local Moran), from which we present the following examples: Luzardo et al. (2017) carried out an analysis of geospatial data associated with area features, in which the variable chosen for the study was the Municipal Human Development Index (HDI-M); Davarpanah et al. (2017) presented a study within the scope of geology; Almeida et al. (2009) analysed the dengue epidemic concerning the socioeconomic context according to geographic areas; Alidadi et al. (2023) studied the spatial distribution of COVID-19 cases in Tokyo; Tang and Werner (2023) analysed the global mining activity. ...
... The local indicator of spatial association (LISA) -local Moran I -measures the level of spatial autocorrelation at each municipality (Anselin, 1995;Feng et al., 2014) and (Levine, 2004;Fu et al., 2014;Alidadi et al., 2023) and can be expressed as: ...
Article
An increasing share of farmer revenues derives from on-farm non-agricultural activities (OFNAA), which constitute a complement to the farmer’s income and can function as a factor for the development of farms, enhancing the endogenous resources of the territories and contributing to the multifunctionality of rural areas. Therefore, it is important to understand the importance of these non-agriculture activities in the territory, their diversification, spatial trends at local level and the relation with farm’s orientation. This paper intends to analyse the OFNAA, using as object of study the Portuguese municipalities. In order to analyse the diversification of the OFNAA, a diversification index based on entropy is proposed. The relationships between OFNAA diversification and the farms’ technical-economic orientation (TEO) are also analysed using correlation matrixes, while the spatial patterns are studied, using the global Moran I and local Moran-LISA. The results provide important insights of the OFNAA dynamics and diversification. Therefore, this study provides an important tool for policy management and implementation.
... When geographic data exhibit critical spatial disparity, global metrics become less applicable, failing to account for variations across different regions within the study area and may not even be suitable for any subregions (Fotheringham and Brunsdon 1999). For instance, the local indicators of spatial association (LISA) model, by identifying spatial associations in localized regions (Anselin 1995), has driven the widespread adoption of local analytical techniques. These methods have enhanced spatial models across various domains, including spatial autocorrelation, local heterogeneity, heteroscedasticity, and stratified heterogeneity (Table 3). ...
... Based on spatial dependence, the Moran statistic (MORAN 1950) and the Geary c statistic (Geary 1954) are essential metrics for quantifying global spatial autocorrelation. The advancement of local analytical methodologies has significantly enhanced the performance of spatial autocorrelation models and indicators, including the development of LISA (Anselin 1995), the local Geary c statistic (Anselin 2019), and heterogeneous spatial autocorrelation (Zhang et al. 2024b). In spatial heterogeneity, geographically weighted regression (GWR), along with its refined models (Brunsdon et al. 1998, Fotheringham et al. 2017, mitigates the influence of local effects on global linear or nonlinear regression models. ...
... Global models and indicators Local models and indicators Spatial autocorrelation Moran statistic (MORAN 1950); Geary c statistic (Geary 1954) Local Indicator of Spatial Association (Anselin 1995); Local Geary c statistic (Zhang et al. 2024b); Heterogeneous spatial autocorrelation (Zhang et al. 2024b) Spatial heterogeneity Head-tail index (Jiang and Yin 2014) Geographically weighted regression (Brunsdon et al. 1998); Multiscale geographically weighted regression (Fotheringham et al. 2017) Spatial heteroscedasticity Spatial error model with heteroscedasticity (Toloza et al. 2024) Local spatial heteroscedasticity (Ord and Getis 2012); Spatiotemporal autoregressive conditional heteroscedasticity (Otto 2024) Spatial stratified heterogeneity Geographical detectors (Wang et al. 2010), optimal parameters-based geographical detectors (Song and Wu 2021) Local indicator of stratified power (LISP) (This study) ...
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Spatial stratified heterogeneity measures spatial association by power of determinant (PD) that compares variations within strata and across space. Models based on stratified heterogeneity have been extensively used across various fields to analyze PD from a spatial perspective. However, stratified heterogeneity in the local regions has not been investigated, although it can significantly influence the overall PD measurements in large-scale studies. This study proposes a local indicator of stratified power (LISP) to analyze local spatial stratified association and demonstrate how spatial stratified association changes spatially and in local regions. The LISP model was implemented to examine the local potential determinants of the thickness variations in lake-terminating glaciers of the Greater Himalayas. The results indicate that LISP can reveal spatial association at various local positions, effectively mitigating the underestimation or overestimation of PD values in local regions that are probably missed in global spatial stratified association models. The developed LISP model provides a reliable methodological framework for exploring local spatial associations and identifying local determinants in broad fields.
... Local spatial autocorrelation reflects the spatial correlation degree of the spatial object attribute value and its adjacent regional attribute value, which is used to explore the agglomeration degree of the spatial object attribute values in the local space and can capture the heterogeneity of the spatial object distribution. The local spatial autocorrelation analysis used in this paper is using Local Moran's Ii as the statistic, which is the decomposition form of Moran's I (Global Moran's I) (Anselin, 1995) to measure the degree of spatial difference between the spatial unit i and its surrounding units and its significance. In essence, local Moran I is breaking Moran I into various regional units. ...
... In essence, local Moran I is breaking Moran I into various regional units. Anselin calls it the LISA (Anselin, 1995), or the spatial contact local indicator (Local Indicators of Spatial Association, LISA). For a certain spatial unit i. ...
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This study explores the potential of Saccharum Officinarum Bagasse Fibres (SOBF) as a sustainable reinforcement in cement-based composites for affordable construction in developing countries. Focusing on locally sourced SOBF, known for its sustainability and low cost, this research aims to enhance the mechanical properties of cement composites. The study examines the impact of SOBF on compressive strength, comparing 1%, 2%, and 3% fibre content at 7 and 28 days, both treated and untreated. Scanning Electron Microscopy (SEM) analysis revealed that SOBF inclusion mitigates surface cracking through a bridging effect within the hardened cement. Results indicate that compressive strength increases up to an optimal fibre content, with 1 wt.% providing the best outcomes for both treated and untreated samples. Interestingly, untreated composites displayed higher compressive strength than their treated counterparts, likely due to the natural lignin enhancing fibre-matrix bonding. The findings demonstrate that SOBF significantly improves the mechanical properties and durability of cement composites, ideal for sustainable construction in regions prioritizing cost effectiveness and local resource utilization. This study not only highlights the benefits of integrating natural fibres like SOBF in cementitious applications but also emphasizes the importance of optimizing fibre content and treatment to enhance composite performance.
... Griffith et al. [12] provide a theorem stating that the p = 1 solution concentrates in the center of a set of demand points with either a constant, or, on average, an identically distributed random variable (RV; the arithmetic mean is a constant) weight across them. Neither LISA [46], highlighting geographically clustering contrasting weights, nor Gi* [29], highlighting geographically clustering similar weights, statistics identify at least a potential solution point in these settings because global SA is zero, and hence, local SA fluctuates within the bounds of independent stochastic behavior. However, such a geospatial landscape is empirically unlikely, in general, because most socio-economic/demographic attributes display moderate, and most remotely sensed quantities display very strong, global positive SA. ...
... In other words, MTC-2, like MT-1, tends to relate to concentrations of contrasting high-low weights. The alternative second popular index is the local indices of SA (LISA; [46]) related to the Moran scatterplot [55], in which the second and fourth quadrants of its graph, respectively, identify concentrations of relatively high and low neighboring values (i.e., global negative SA). A fundamental advantage of this index is that, because it involves cross-product calculations, it is able to differentiate between a spatial outlier and other more similar (i.e., high-high and low-low) values in local neighborhoods. ...
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The existing quantitative geography literature contains a dearth of articles that span spatial autocorrelation (SA), a fundamental property of georeferenced data, and spatial optimization, a popular form of geographic analysis. The well-known location–allocation problem illustrates this state of affairs, although its empirical geographic distribution of demand virtually always exhibits positive SA. This latent redundant attribute information alludes to other tools that may well help to solve such spatial optimization problems in an improved, if not better than, heuristic way. Within a proof-of-concept perspective, this paper articulates connections between extensions of the renowned Majority Theorem of the minisum problem and especially the local indices of SA (LISA). The relationship articulation outlined here extends to the p = 2 setting linkages already established for the p = 1 spatial median problem. In addition, this paper presents the foundation for a novel extremely efficient p = 2 algorithm whose formulation demonstratively exploits spatial autocorrelation.
... (15-64 years), and roughly 5% are elderly (65 years and older) [39]. 4 Dessie experiences a temperate climate, featuring a rainy season from June to September and a dry season from October to May. Average temperatures range from 10°C at night to 25°C during the day [62]. ...
... Local indicators of spatial association (LISA) are also essential for identifying clusters of crime, enabling researchers to understand spatial patterns in crime data [4]. In further research, statistical analysis, standard deviation ellipses, mean center, directed distributions, and mean deviation ellipses were employed. ...
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Over the past few decades, crime and delinquency rates have increased drastically in many countries; nevertheless, it is important to note that crime trends can differ significantly by geographic region. This study's primary goal was to use geographic technology to map and analyze Dessie City's crime patterns. To investigate the geographic clustering of crime, the researchers used semivariogram modeling and spatial autocorrelation analysis with Moran'sI. The neighborhoods of Hote, Arada, and Segno in Dessie's central city were found to be crime-prone "hot spot" locations, as evidenced by statistically significant high Z-scores ranging from 0.037 to 4.608. On the other hand, low negative Z-scores ranging from -3.231 to -0.116 indicated "cold spot" concentrations of crime in the city's north-central sub-cities of Menafesha and Bounbouwha. With an index of 0.027492 and a Z-score of 3.297616 (p<0.01), the analysis overall showed a substantial positive spatial autocorrelation, suggesting a clustered pattern of crime in Dessie. The majority of crimes showed a north-south directionality, except for murder, which trended from northeast to southwest. The mean center of all crime types was found in the central Hote area. To address the complicated problem of rising crime rates in Dessie and other developing metropolitan areas, more focused and efficient enforcement techniques, and resource deployment can be informed through the knowledge acquired from the geospatial analysis.
... As this research advanced, some scholars began to consider multiple indicators to reflect the level of regional economic development and more comprehensively account for the factors driving imbalances among regions in economic development. With the development of new tools for economic geography (Behrens and Thisse 2007), some scholars have used innovations such as Markov-chain analysis (Liao and Wei 2012;He et al. 2017), exploratory spatial data analysis (Anselin 1995), and time-series models (Lessmann 2013;Song 2013) to reveal the spatial characteristics and evolution of differences in regional economic development. In addition, some scholars have used econometric models, such as panel data models (Eva et al. 2022;Tang and Sun 2022), spatial econometric models (Liao and Wei 2015;He et al. 2019), spatial autoregressive moving-average models (Kosfeld et al. 2006) and threshold models (Li and Cao 2024) to explore the main factors affecting the differences in regional economic development. ...
... Values less than 0 indicate a negative spatial correlation, values greater than 0 indicate a positive spatial correlation, and a value of 0 indicates a lack of correlation. The local Moran's I (I l ) can reflect the degree of spatial correlation between a region and its surrounding areas, and can thereby reveal the degree of spatial heterogeneity (Anselin 1995). The calculation formula is as follows: ...
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There are huge differences in the levels of social and economic development among the world’s regions, and the gaps between regions have not narrowed despite rapid economic development. Understanding the impact of factors other than political factors on socioeconomic development can help all countries to find solutions that go beyond ideology. To test this hypothesis, we selected 295 Chinese cities at the same administrative level and used the entropy weighting method, a spatial econometric model, and a geographical and temporal weighted regression model to identify the reasons for regional development differences. Unlike the methods used in previous studies, this approach let us identify the relative importance of many forces that are simultaneously driving development and their variation among regions. We found that industrial upgrading, industrialization, fiscal decentralization, marketization, and education were important factors to promote regional economic growth, whereas economic growth decreased with increasing elevation and environmental pollution. These were the primary factors that explained why some places were more highly developed and other places lagged behind. To narrow the regional development gap, it will be necessary to upgrade a region’s industrial structure, improve market mechanisms, improve the education system, and implement targeted and differentiated development policies that account for each region’s unique needs. Our results will provide a reference not only for China but also for the world to support efforts to eradicate poverty and achieve more regionally balanced development.
... After a series of preliminary experiments, we found that two hundred is an effective parameter that can ensure each road segment has one or more corresponding neighborhoods. Therefore, this study generated a 200-meter buffer for each road section, and calculated the local Moran statistics (Anselin 2010) and bivariate local Moran statistics (Lee 2001) for each buffer according to the value of the weighted periodicity in holiday and workday. ...
... Local Moran statistics is the most commonly used LISA (Local Indicators of Spatial Association) statistic (Anselin 2010), which could achieve the detection of the location of clusters and spatial outliers. Local Moran statistics could measure the degree of spatial clustering or dispersion of a particular variable within a geographical area. ...
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Critical road sections (CRS) are part of links of the road network, which have an obvious influence on urban transportation systems. Identifying CRS would contribute to improving efficient traffic management. However, existing studies pay less attention to the influence of traffic temporal dynamism on CRS and the spatial disparity of CRS in different temporal scenarios. We propose a method to identify CRS in urban road network. The new method takes sparse tensor decomposition and reconstruction for the imputation of driving speed that is calculated from trajectory data. Then, empirical mode decomposition is applied to calculate the weighted periodicity for each time series of driving speed. Finally, CRS are determined according to local spatial autocorrelation of the weighted periodicity. Taking the urban area of Xi’an City, China, as a case study, the result show that the new method could effectively achieve the imputation of speed information (R² >0.67). The weighted periodicity could characterize the temporal dynamism of driving speed with considering the aliasing effect of traffic modes. The CRS reflect the multi-center characteristics of urban transportation systems, and show obvious spatial disparity in holiday and workday. The CRS identified by the proposed method could be applied to improving urban traffic management and maintaining efficient urban transportation.
... In general, we concern two different types of LISNA functions: node-wise LISNA functions (type 1) and cross-hierarchical LISNA functions (type 2). While LISNA functions of type 1 are generalizations of Anselins' LISA functions (Anselin, 1995) to node-wise intensity functions which can be applied to any global measure of spatial association, cross-hierarchical LISNA functions express the variation between individual edge intervals and different subsets of edge intervals contained in different network entities. LISNA characteristics consider the individual contributions of a global estimator as a measure of clustering. ...
... and, following the ideas of Anselin (1995), a local version of (11) as ...
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The last decade has witnessed an increase of interest in the spatial analysis of structured point patterns over networks whose analysis is challenging because of geometrical complexities and unique methodological problems. In this context, it is essential to incorporate the network specificity into the analysis as the locations of events are restricted to areas covered by line segments. Relying on concepts originating from graph theory, we extend the notions of first-order network intensity functions to second-order and local network intensity functions. We consider two types of local indicators of network association functions which can be understood as adaptations of the primary ideas of local analysis on the plane. We develop the node-wise and cross-hierarchical type of local functions. A real dataset on urban disturbances is also presented.
... We used Anselin Local Moran's I to examine individual features, specifically disease incidence within individual SAs, and their relationship to nearby features, returning localised clusters that may be correlated based on variance assigned to all individual spatial units (Anselin, 1995). We calculated Anselin Local Moran's I statistics using the cluster/outlier tool in ArcGIS software version 10.6 (ESRI; https://www. ...
... Here, we calculate a global summary measure of spatial inequality for access indicators, namely: one-dimensional spatial autocorrelations (Anselin, 1995). First, we define a spatial weighting matrix W showing how communities are connected with each other through the distance between them; and, second, we define spatial correlations, outlining some preliminary results on the degree of spatial connectivity on access rates across the sample. ...
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Space, beyond standard urban/rural divisions, plays a leading role in the diffusion of educational inequalities. In this paper, using geo-localization and Demographic and Health Surveys (DHS), we analyze educational access (never-been-to-school and out-of-school rates at primary and secondary levels) and the impact of climate variables (aridity, temperature, rainfall, enhanced vegetation index) for 5,279 communities from 10 countries in sub-Saharan Africa. We find that space matters for educational access and negative impacts of climate variables on access after accounting for communities' contextual backgrounds in spatial econometric models, with climate and spatial educational inequality operating more powerfully in marginalized communities. Educational policies aimed at boosting educational access should consider space-based interventions and mitigating strategies against climate change.
... The Local Moran's I was used in this study to further test the hot spots, cold spots, and spatial outliers with statistical significance in the local region [42]. It is expressed by equation (4): (2) Spatial regression analysis Spatial regression analysis considers the spatial relationships of the research object. ...
... First of all, the local indicator for each observation provides information on the signifi cance of spatial clustering for similar values around that particular observation. Secondly, adding up the LISAs for all the observations yields the global indicator for spatial association (Anselin, 1995). Locations or neighbouring locations where LISA is signifi cant indicate local spatial clusters ("hot spots") but also local spatial outliers. ...
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Our study explores the integration of spatial analysis methodologies within the context of the Sustainable Development Goals (SDGs) at the regional level in European Union countries. The application of spatial analysis allows for a nuanced understanding of SDGs progress and obstacles within specifi c territorial units. Adopted by the United Nations, the Sustainable Development Goals (SDGs) provide an all-encompassing framework for tackling global issues in the social, economic , and environmental spheres. Through the examination of geographic data, spatial analysis techniques give a distinct perspective and can provide important insights into regional inequities and localised diffi culties. Spatial analysis-which includes spatial autocorrelation tools-provides a visual narrative of regional cohesion and off ers a deep understanding of the distribution and connectivity of SDGs accomplishments across various territorial units. For planners, stakeholders, and politicians, this visual aid is invaluable as it facilitates informed decision-making that leads to more integrated policies. Furthermore, the application of spatial analysis methods makes it easier to allocate resources effi ciently and track progress towards the SDGs. It allows for authorities , decision-makers, and interested parties to plan resources eff ectively, rank interventions in order of importance, and monitor the eff ects of programmes locally. Our study extensively employs available data at the NUTS 3 level, providing a comprehensive measurement of SDGs achievements. Through a close examina-Romanian Statistical Review nr. 4 / 2024 37 tion of data at the NUTS 3 level, our research off ers a comprehensive evaluation of SDGs accomplishments, facilitating an in-depth comprehension of advancements and discrepancies within certain territorial units. Additionally, this strategy is in line with the cohesion process strategically, making it possible to assess these goals' contributions to fair development and regional cohesion more thoroughly. Our research emphasises the relationship between achieving the Sustainable Development Goals and regional cohesion by focusing on the cohesion process. This emphasises how important it is to accomplish not just the individual goals but also to promote inclusivity, lessen inequality, and unite people in various geographical contexts. Thus, our research contributes to a more inclusive and unifi ed approach to sustainable development within the European Union by enhancing our understanding of SDGs progress at a granular level and highlighting the signifi cance of these accomplishments in fostering cohesion. Furthermore, we stress the signifi cance of utilising spatial analytic techniques to improve the execution, observation, and assessment of plans intended to accomplish the SDGs.
... First of all, the local indicator for each observation provides information on the signifi cance of spatial clustering for similar values around that particular observation. Secondly, adding up the LISAs for all the observations yields the global indicator for spatial association (Anselin, 1995). Locations or neighbouring locations where LISA is signifi cant indicate local spatial clusters ("hot spots") but also local spatial outliers. ...
Article
Our study explores the integration of spatial analysis methodologies within the context of the Sustainable Development Goals (SDGs) at the regional level in European Union countries. The application of spatial analysis allows for a nuanced understanding of SDGs progress and obstacles within specific territorial units. Adopted by the United Nations, the Sustainable Development Goals (SDGs) provide an all-encompassing framework for tackling global issues in the social, eco- nomic, and environmental spheres. Through the examination of geographic data, spa- tial analysis techniques give a distinct perspective and can provide important insights into regional inequities and localised difficulties. Spatial analysis—which includes spa- tial autocorrelation tools—provides a visual narrative of regional cohesion and offers a deep understanding of the distribution and connectivity of SDGs accomplishments across various territorial units. For planners, stakeholders, and politicians, this visual aid is invaluable as it facilitates informed decision-making that leads to more integrated policies. Furthermore, the application of spatial analysis methods makes it easier to allocate resources efficiently and track progress towards the SDGs. It allows for au- thorities, decision-makers, and interested parties to plan resources effectively, rank interventions in order of importance, and monitor the effects of programmes locally. Our study extensively employs available data at the NUTS 3 level, providing a comprehensive measurement of SDGs achievements. Through a close examination of data at the NUTS 3 level, our research offers a comprehensive evaluation of SDGs accomplishments, facilitating an in-depth comprehension of advancements and discrepancies within certain territorial units. Additionally, this strategy is in line with the cohesion process strategically, making it possible to assess these goals’ contributions to fair development and regional cohesion more thoroughly. Our research emphasises the relationship between achieving the Sustain- able Development Goals and regional cohesion by focusing on the cohesion process. This emphasises how important it is to accomplish not just the individual goals but also to promote inclusivity, lessen inequality, and unite people in various geographical contexts. Thus, our research contributes to a more inclusive and unified approach to sustainable development within the European Union by enhancing our understanding of SDGs progress at a granular level and highlighting the significance of these accom- plishments in fostering cohesion. Furthermore, we stress the significance of utilising spatial analytic techniques to improve the execution, observation, and assessment of plans intended to accomplish the SDGs.
... The exploratory spatial data analysis method is utilized to detect spatial agglomeration, including global and local spatial autocorrelation [22,45,46]. Global and local Moran's indices are frequently used to test the spatial correlation of variables. ...
Article
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Background In the context of public health emergencies, the presence of medical and health talents (MHT) is critically important for support in any country or region. This study aims to analyze the spatial and temporal distributions and evolution of MHT in China and propose strategies and recommendations for promoting a balanced distribution. Methods This research used data from 31 provinces in China to construct a multidimensional index system for measuring the agglomeration level of MHT. The indices include talent agglomeration density (TAD), talent agglomeration scale (TAS), talent agglomeration intensity (TAI), and talent agglomeration equilibrium (TAE). Using provincial data from the years 1982, 1990, 2000, 2010, and 2020, a spatiotemporal analysis of the MHT agglomeration levels was conducted. Furthermore, the regional dynamic distribution of MHT was analyzed using kernel density estimation diagrams. The spatial autocorrelation of MHT was assessed through global and local Moran’s I, and the spatial gap and decomposition of MHT were analyzed using the Dagum Gini coefficient. Results From the temporal level, the TAD and TAI of MHT showed an increasing trend over the studied period, whereas TAS decreased and TAE first increased and then decreased from 1982 to 2020. At the spatial level, the TAD, TAS, TAI, and TAE of MHT exhibited varied patterns among the eastern, central, and western regions of China, showing significant geographical disparities, generally demarcated by the Hu Huanyong Line. The regional dynamic distribution level of MHT in the country and the three regions were expanding. Spatial autocorrelation analysis using global and local Moran’s I for TAD, TAS, TAI, and TAE demonstrated significant regional differences. The Dagum Gini coefficient of TAD, TAS, TAI, and TAE revealed divergent trends in regional disparities, with overall declines in disparities for TAD and TAI, a slight increase for TAS, and fluctuating patterns for TAE. Conclusions From a temporal perspective, the overall number of MHT in China has been increasing annually at the national and provincial levels. From the spatial perspective, TAD, TAS, TAI, and TAE exhibit significant differences among the three regions. Kernel analysis reveals that the distribution differences are gradually expanding in national level and varying in regional level. Moreover, the global and local Moran’s I indices reveal varying spatial autocorrelation for TAD, TAS, TAI, and TAE. The Dagum Gini coefficients of TAD, TAS, TAI, and TAE show different patterns of decomposition.
... Moran´s global index evaluates a complete spatial pattern and does not provide information on the location of the clusters, in other words, it is a measure of global spatial autocorrelation. Anselin (1995) proposed the local version of Moran's I: local indicator of spatial association (LISA) to remedy this situation. This indicator provides a statistic for each location with a level of significance and establishes a proportional relationship between the local and the global statistic. ...
Article
Abstract Mexico has emerged as one of the world's leading producers and exporters of vehicles. With the entry into force of the USMCA, an increase in North American regional content in the automotive industry is expected, presenting an opportunity to boost technology transfer and the development of local capabilities. The automotive and auto parts industry (AAI) in Mexico exhibits spatial concentration patterns, generating agglomeration economies linked to knowledge spillovers, specialized labor, local inputs, and urbanization economies. However, few studies have analyzed these forces with a high level of territorial disaggregation, particularly regarding the presence of Chinese companies in the sector. This study examines the existence of agglomeration economies in the AAI across nine micro-regions in Mexico, home to 13 Chinese companies. Using kernel density maps and global and local autocorrelation indices, the analysis explores their local and regional impact. The findings provide evidence of agglomeration economies in five regions, with a trend toward further growth. Keywords: Economic density, Localization economies, Urbanization economies, Sectorial analysis, Spatial analysis. JEL codes: C81, R12, L60, O18. Resumen México se ha posicionado como uno de los principales productores y exportadores de vehículos a nivel mundial. Con la entrada en vigor del T-MEC, se espera un aumento en el contenido regional norteamericano en la industria automotriz, lo que representa una oportunidad para impulsar la transferencia de tecnología y el desarrollo de capacidades locales. La industria automotriz y de autopartes (IAA) en México muestra patrones de concentración espacial, generando economías de aglomeración vinculadas a externalidades de conocimiento, trabajadores especializados, insumos locales y economías de urbanización. Sin embargo, existen pocos estudios que analicen estas fuerzas con alto nivel de detalle territorial, especialmente en relación con empresas chinas en el sector. Este trabajo examina la presencia de economías de aglomeración en la IAA en nueve micro-regiones mexicanas, donde operan 13 empresas chinas. A través de mapas de densidad kernel e índices de autocorrelación global y local, se verifica su impacto local y regional. Los resultados evidencian economías de aglomeración en cinco regiones, con una tendencia creciente. Palabras clave: Densidad económica, Economías de localización, Economías de urbanización, Análisis sectorial, Análisis espacial. Códigos JEL: C81, R12, L60, O18
... Likewise, low-low IPI and excess female child mortality indicates the districts that have below-average IPI values and below-average excess female child mortality. While high-high and lowlow are known as spatial clusters, high-low and low-high are known as spatial outliers (Anselin, 1995). ...
Article
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Research investigating association between patriarchy and demographic behavior is limited in India. The only study on this subject utilized 1981 Indian Census data to examine associations between patriarchy and fertility. We examined the association of patriarchy, measured using India Patriarchy Index (IPI), with total fertility rate (TFR) and excess female child mortality in India. Additionally, we examined independent associations of the 5 dimensions included in the IPI with the two outcomes. We used univariate and bivariate Local Indicators of Spatial Autocorrelation, multivariable ordinary least squares and spatial error- regressions to examine the associations. Spatial heterogeneity beyond the north–south divide was evident in the spatial association of IPI with TFR and excess female child mortality. Results show positive association of IPI with TFR and excess female child mortality. While son preference and socio-economic domination were positively associated with TFR, domination of men over women and son preference were positively associated with excess female child mortality. This study is the first of its kind to examine the association of a novel measure of patriarchy with TFR and excess female child mortality. As patriarchy is deep-rooted in Indian society, a great deal of effort is needed to shift these traditionally held social norms and practices.
... A univariate Local Moran's I with spatial weighting based on six K-nearest neighbours was used as a local indicator of spatial association to identify local clusters and local spatial outliers (Anselin 1995). ...
... It is a growing technique in geographic information science (GIS) that enables those who use it to explain and perceive spatial spreads, recognize peculiar areas or geographical anomalies, identify variations in spatial association, clusters, or hot spots, and propose spatial regimes or other types of spatial heterogeneity [29]. In this study, a chloropleth map was used to describe the spatial distribution [30] of the environmental features of the Lesser Sunda island. ...
Article
Mapping marine ecosystems is acknowledged as a vital tool for implementing ecosystem services in practical situations. It provides a framework for effective marine spatial planning, enabling the designation of marine protected areas (MPAs) that consider ecological connectivity and habitat requirements. It also helps pinpoint areas of high biodiversity or ecological significance, allowing conservationists to prioritize these regions for protection and management. Numerous studies over decades have produced a vast amount of data that illustrates the features of the marine ecosystem. Therefore, the unsupervised learning is a promising technique to map marine ecosystem based on its environmental features. This study aims to compare unsupervised learning techniques to analyze marine environmental features in order to map marine ecosystem in Lesser Sunda waters. Eleven global environmental variables were accessed from global databases. The Lesser Sunda waters were delineated into groups according to their environmental characteristics using four unsupervised learning techniques: k-mean, fuzzy c-mean, self-organizing map (SOM), and density-based spatial clustering of applications with noise (DBSCAN). According to the findings, the Lesser Sunda waters can be divided into five to nine clusters, each with distinct environmental features. Moreover, the fuzzy c-mean method's clustering result outperformed the others based on the highest Silhouette (0.2204478) and Calinski-Harabasz (1741.099) Index. As an unsupervised learning technique, fuzzy c-mean clustering offered good performance in delineating Lesser Sunda Island marine waters with five clusters. The clustering results mostly consistent with existing conservation programs, even though there are several areas which needed international and multinational organization collaboration to effectively accomplish marine conservation objectives.
... Using the K-Nearest Neighbour weights technique [69], we estimated the spatial weight matrix (ω ijt ) between the various camera sites at a particular time ( t ). It is a set of neighbours defined by distance-based weights based on ( K ) observations. ...
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Air pollution in cities, especially NO\textsubscript{2}, is linked to numerous health problems, ranging from mortality to mental health challenges and attention deficits in children. While cities globally have initiated policies to curtail emissions, real-time monitoring remains challenging due to limited environmental sensors and their inconsistent distribution. This gap hinders the creation of adaptive urban policies that respond to the sequence of events and daily activities affecting pollution in cities. Here, we demonstrate how city CCTV cameras can act as a pseudo-NO\textsubscript{2} sensors. Using a predictive graph deep model, we utilised traffic flow from London's cameras in addition to environmental and spatial factors, generating NO\textsubscript{2} predictions from over 133 million frames. Our analysis of London's mobility patterns unveiled critical spatiotemporal connections, showing how specific traffic patterns affect NO\textsubscript{2} levels, sometimes with temporal lags of up to 6 hours. For instance, if trucks only drive at night, their effects on NO\textsubscript{2} levels are most likely to be seen in the morning when people commute. These findings cast doubt on the efficacy of some of the urban policies currently being implemented to reduce pollution. By leveraging existing camera infrastructure and our introduced methods, city planners and policymakers could cost-effectively monitor and mitigate the impact of NO\textsubscript{2} and other pollutants.
... To describe the degree of correlation in BCEs among cities, both global and local indicators can be employed (Cliff and Ord, 1982). Moran's I (Moran, 1950) is currently the most widely used method for measuring spatial autocorrelation (Anselin, 1995). The global Moran's I index reveals the overall spatial autocorrelation in the study area. ...
Article
Building carbon emissions (BCEs) from the construction industry are crucial to realizing the ‘Dual-Carbon’ Goals of China, but their spatio-temporal and stage differences are not fully understood. Here, we explored the spatial and temporal differences of building carbon emissions in the Yangtze River Delta urban agglomeration by combining life cycle assessment and spatial analysis, and further compared the contribution rates of each influencing factor to BCEs based on the LMDI-STIRPAT model. The results revealed that from 2005 to 2020, the growth rate of building carbon emissions in the Yangtze River Delta urban agglomeration slowed after 2013, with a spatial trend of ‘slow in the east and fast in the west’. With respect to the whole process, the contribution of building materials production and transportation to BCEs is the most significant. Additionally, the types of building materials and energy used in each stage have changed dramatically over the 16 years. Furthermore, GDP per capita and carbon intensity are the strongest positive and negative drivers, respectively. These findings provide a complete understanding for a regional exploration of BCEs and contribute to formulating low-carbon building policies within urban agglomerations.
... Global Moran's I assessed the overall spatial autocorrelation, where a significant p-value (<0.05) would indicate clustering or dispersion, while a high p-value (>0.05) suggests random distribution. Anselin Local Moran's I identified local clusters (High-High or Low-Low) and spatial outliers (High-Low or Low-High), with statistical significance determined by p-values <0.05, indicating meaningful spatial patterns (Mitchell 2005; Anselin 1995) [3] . The Getis-Ord General G statistic was used to assess the degree of clustering in LSD cases, while the Getis-Ord Gi* statistic identified specific clusters as hotspots or cold spots, representing areas of high or low case concentrations (Ord and Getis, 2001;Getis and Ord, 2010) [19,7] . ...
... Global autocorrelation analysis can assess whether a specific attribute exhibits clustering characteristics in space; however, it lacks the capacity to capture local unit correlations and cannot pinpoint the exact locations of clusters 29,30 . The Getis-Ord G* index serves as a measure of statistically significant hot and cold spot distributions in the land use evolution of Shanxi Province. ...
Article
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An investigation of the evolutionary characteristics and internal driving mechanisms of territorial space since the reform and opening up is essential. The study will guide the orderly development and rational layout of territorial space, as well as achievement transformation and high-quality development in Shanxi Province. We used land use data from 1980 to 2020, which was divided into four periods, to examine the changes in production-living-ecological spatial pattern in Shanxi Province. Various methods, including the territorial spatial transfer matrix, standard deviation ellipse and spatial autocorrelation, were employed to analyse the evolution of the territorial spatial pattern. Applying GeoDetector as the primary tool, we conduct research on the mechanisms underlying the evolution of this spatial pattern. The results indicated that Shanxi Province exhibits distinct differentiation characteristics in both the horizontal and vertical spatial dimensions. Over the 40-year period from 1980 to 2020, the territorial spatial pattern of Shanxi Province transitioned from gradual change to drastic change to moderate change. The production space (PS) and ecological space (ES) decreased, while the living space (LS) significantly increased. The territorial spatial pattern of Shanxi Province exhibited a northeast‒southwest distribution pattern, and the changes in the centre of gravity of the production-living-ecological spaces varied in direction. The spatial distribution of land in Shanxi Province is influenced by both natural factors and human activities, leading to changes in its territorial pattern over time. The primary catalyst for the development of production space (PS) is grain production, while the major determinants of the development of living space (LS) are the overall gross domestic product (GDP) and public financial expenditure. Thus, topography greatly influences ecological space (ES).
... h (i) represents the set of h nearest neighbors of location i, and h is selected via a crossvalidation approach.The classical Moran's I statistic, introduced byAnselin (1995), measures the degree of spatial autocorrelation in a dataset, identifying whether similar values tend to cluster spatially and to what extent values at one location are influenced by neighboring locations. To assess spatial correlations in the functional response variable (daily number of deaths), we utilize the functional Moran's I statistic, as outlined byKhoo et al. (2023). ...
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We introduce a spatial function-on-function regression model to capture spatial dependencies in functional data by integrating spatial autoregressive techniques with functional principal component analysis. The proposed model addresses a critical gap in functional regression by enabling the analysis of functional responses influenced by spatially correlated functional predictors, a common scenario in fields such as environmental sciences, epidemiology, and socio-economic studies. The model employs a spatial functional principal component decomposition on the response and a classical functional principal component decomposition on the predictor, transforming the functional data into a finite-dimensional multivariate spatial autoregressive framework. This transformation allows efficient estimation and robust handling of spatial dependencies through least squares methods. In a series of extensive simulations, the proposed model consistently demonstrated superior performance in estimating both spatial autocorrelation and regression coefficient functions compared to some favorably existing traditional approaches, particularly under moderate to strong spatial effects. Application of the proposed model to Brazilian COVID-19 data further underscored its practical utility, revealing critical spatial patterns in confirmed cases and death rates that align with known geographic and social interactions. An R package provides a comprehensive implementation of the proposed estimation method, offering a user-friendly and efficient tool for researchers and practitioners to apply the methodology in real-world scenarios.
... A Moran's I value approaching one indicates a strong spatial dependency. To test the significance of Moran's I, several approaches can be used, one of which is the Z-test statistic [15] that can be calculated as follows: ...
Article
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Digital disparities remain a significant challenge in Indonesia, particularly across its diverse regions, with uneven access to digital infrastructure, skills, and economic opportunities. This study aims to map these digital disparities at the district level, analyze the spatial distribution and clustering of digital transformation using the Digital Society Index of Indonesia (IMDI), and investigate the key drivers of digital inequality across four core pillars: Infrastructure and Ecosystem, Digital Skills, Empowerment, and Jobs. To measure the IMDI, primary data were collected from the industrial sector and the general population over three years (2022–2024), combined with secondary data on internet usage and service standards. A multistage random sampling approach ensured representativeness, considering demographic variations and industrial segments. The analysis employed spatiotemporal methods to capture temporal trends and spatial clustering. The results revealed a significant IMDI increase from 37.80 in 2022 to 43.18 in 2023, followed by stability at 43.34 in 2024. The hotspots of digital transformation remain concentrated on Java Island, while low spots persist in eastern Indonesia. This study provides critical insights into Indonesia’s digital readiness, identifying priority areas for targeted interventions to bridge the digital divide and foster equitable digital development.
... Thus, a local perspective is required to complement the global analysis (Lloyd, 2006), to better analyze the explanation performance for the given XAI algorithm. In this regard, a local spatial autocorrelation metric (Anselin, 1995) is further employed in this paper − the local Moran's I and the LISA statistic, to achieve an enhanced quantitative analysis of the attribution explanation. By this means, the spatial aggregation pattern and the spatial distribution of outliers in the attribution maps generated by the XAI algorithm could be tackled (Bivand et al., 2009). ...
... (ii) individuais: automóvel e motocicleta; (iii) ativos: a pé e bicicleta; e (iv) outros. (Anselin, 1995). Os cálculos para determinar o I de Moran foram conduzidos utilizando uma matriz de ponderação espacial do tipo torre e vizinhança de primeira ordem. ...
Article
Com o aumento no volume e proporção de idosos na população brasileira, reflexo do processo de transição demográfica, torna-se crucial a elaboração e implementação de políticas públicas que priorizem a qualidade de vida, o bem-estar coletivo e a inserção desse grupo nas diversas dimensões da vida urbana, incluindo o acesso e a mobilidade no território. Embora existam muitos estudos sobre o envelhecimento populacional no Brasil, especialmente nas áreas de saúde e economia, é importante expandir a abordagem temática, de modo a incluir o debate sobre o acesso, mobilidade e a oferta de transporte público coletivo, considerados como fundamentais ao pleno exercício da cidadania e de garantia do direito à cidade. Nesse sentido, o presente artigo tem como objetivo principal analisar os fluxos e os padrões de deslocamento por transporte coletivo da população idosa na Região Metropolitana de Belo Horizonte, dado o recente e acentuado processo de envelhecimento da população. Para tanto, foram utilizados os dados da Pesquisa Origem Destino de 2002 e 2012 e do estoque de população (total e idosos) dos Censos Demográficos de 2000 e 2010 para a proposição de indicadores de mobilidade e dos padrões espaciais relacionados ao transporte coletivo por ônibus. Em geral, os resultados confirmaram o esperado aumento no total de viagens diárias realizadas por idosos, acima do esperado pela mudança na estrutura etária. Observou-se, ainda, um crescimento menos acentuado na utilização do sistema de transporte coletivo por ônibus pelos idosos, o que é coincidente com o padrão geral da população. Trata-se, pelo menos aparentemente, de um caminho oposto à busca da mobilidade urbana sustentável, em prol do uso do transporte coletivo e/ou ativos, tal como preconizado pelos programas de mobilidade sustentável das políticas públicas federal e municipais.
... However, despite the benefit of a parsimonious model building process being undertaken, when analyzing data aggregated to a larger geographic unit-here a two-mile hexagon, unobserved spatial correlations amongst the predictors and outcome variable that could bias the NB model estimates are likely to persist. To assess whether spatial autocorrelation exists, a commonly accepted approach is to estimate the global Moran's I statistic (Anselin, 1995;Moran, 1950): ...
Article
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Public health concerns of the Covid-19 pandemic and the popularity of on-demand mobility services have led to a recent and prominent increase in online food delivery (OFD) service adoption. While app-based services that offer restaurant customers the convenience of a freshly prepared meal delivered to any location have existed, their present and future impacts to urban transportation networks and landscapes have become ever more apparent since the pandemic’s onset and subsequent restrictions on restaurant dining. By analyzing route-level data collected by a ridehailing driver assistant app between October 2015 and October 2019, this study informs a baseline understanding of where and when these on-demand food delivery services were used within the Phoenix metro area prior to the pandemic. This identification of the spatiotemporal patterns of OFD service is accompanied by the estimation of traditional and spatially lagged negative binomial models of delivery counts using a robust set of predictors of the built environment and socioeconomic context found at the trip destination. Study results indicate that on-demand food delivery services were popular during dinner hours corresponding with evening peak travel and in neighborhoods characterized by higher activity density, greater drinking establishment access, and increased shares of residents under 45 years old.
... The first method, the LISA, was used to detect outliers [22]. The LISA is implemented in the form of the Local Moran statistic to discover hot spots and cold spots (local clusters) in the data, as well as local spatial outliers. ...
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Livestock farming is an important part of Mali’s economy and a major source of income for the rural population especially women. One of the major constraints to this activity is high burden of animal disease, in particular peste des petits ruminants (PPR), which hinder the productivity of small ruminants and thus reduces the income of livestock farmers. This disease that has an effective vaccine is subjected to a worldwide eradication program. The aim of this study is therefore to develop risk maps and identify the disease’s risk factors to inform national vaccination strategy in Mali. This tool will help decisions-makers rationalize the limited resources available for disease control. A compilation of retrospective cases of PPR from 2011 to 2023 was used to generate risk maps using multivariable regression models and geographically weighted regression. Results show that the southern regions of Mali are more at risk than the northern. PRR cases occur more during rainy and hot dry seasons. Parameters such as railroads length, rainfall, and watering points were identified as risk factors for the spread of the disease. These results point out high priority areas during a risk-based vaccination campaign against PPR in Mali.
... Therefore, local spatial autocorrelation analysis becomes the key to accurately grasp the spatial heterogeneity of local elements, and is used to reflect the degree of correlation between the ES values of a region is correlated with its neighboring regions. Anselin [50] proposed the Local Moran statistic as a method to identify local clusters and local spatial outliers, which is the Local Indicators of Spatial Association (LISA). Local Moran's I is calculated as, ...
Article
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Understanding ecosystem service trade-offs and synergies is the foundation for achieving the efficient management of the ecosystem and improving human well-being. Therefore, in this paper, multi-scale trade-offs and synergies among eleven secondary ecosystem service (ES) types of four ecosystem service categories in the mountainous areas of North China in 2015 are assessed using statistical methods and spatial analysis, and their driving factors are analyzed, including natural factors and socioeconomic factors. The results show that for the study area, only the raw material production service and nutrient cycle maintenance service, water supply service and hydrological regulation service, environmental purification service and biodiversity maintenance service, environmental purification service and aesthetic landscape service, and biodiversity maintenance service and aesthetic landscape service show extremely strong synergistic correlations at four spatial scales. The spatial autocorrelation among services at different scales is basically consistent with the statistical correlation, but the degree of correlation varies. Unlike the grid, township, and county scales, all service pairs are spatially autocorrelated across the study area at the land use type scale, and the clustering characteristics are more obvious and similar. All service pairs are synergistic with low–low values at the mountain–plain junction in the Taihang Mountain (THM) and in the northern part of the Bashang region (BSR). The spatial trade-offs and synergies of the regulating and maintenance services in the study area are closely related to the spatial distribution of land use types. The main natural influence on the synergistic trade-offs of ecosystem services (ESs) at the township scale is elevation, while socioeconomics are mainly influenced by population and GDP. This study can contribute to strengthening decision makers’ understanding of the spatial scales of ES relationships in mountain areas and the extent to which different natural and socioeconomic factors influence them.
... Outliers that are statistically signifi cant may be accompanied by high or low values. P values must be suffi ciently low to qualify as statistically important for the cluster or outlier [29]. Moran's I statistic was used to evaluate the spatial autocorrelation features of LSD. ...
Article
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Lumpy skin disease (LSD) is a serious, transboundary disease that affects cattle all over the world and results in considerable productivity losses. Although Türkiye’s first outbreak of LSD was reported in August 2013, there is very little information available about the outbreak’s spatiotemporal distribution or severity. GIS-based data analysis provides crucial tools for describing the spatial epidemiology of the disease by assessing the spatial distribution of LSD across time. This study used information on outbreaks reported to the the World Animal Health Organization (WOAH-OIE) between 2013 and 2021 to conduct a retrospective study on the epidemiology of LSD in Türkiye. Differences in the number of reported outbreaks and cases across different regions, provinces, months, and years were evaluated and descriptive statistics were calculated. In addition, spatial statistical tests (Local Moran’s I and Getis-Ord Gi*) and Geographical Information Systems (GIS) were used to assess LSD outbreaks that had taken place at the province level in Türkiye. Possible epidemiological clusters of LSD were identified. A total of 1787 outbreaks and 10109 cases of LSD were reported from 75 out of 81 provinces of Türkiye during the course of the nine-year period. Hotspots for the circulation of LSD were identified in the Aegean, Southeastern and Eastern regions using spatial cluster analyses and it was observed that the spatial autocorrelation of LSD cases is positive across the country. The findings from this study, it may help us comprehend the disease’s spatial character and offer authorities the beneficial information for surveillance efforts.
... Küresel Moran's I tekniği ile tespit edilen mekânsal örüntülerin konumlarını belirlemek için ise Anselin yerel Moran's I (LISA) tekniği kullanılmıştır. Mekânsal kümelenmelerin yanı sıra mekânsal uç değerlerin de gösterilmesine olanak sağlayan bu teknik şu formül ile gösterilmektedir (Anselin, 1995;Çubukçu, 2020): ...
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... The same holds for hexagons with a low number of road fatality events. To determine whether specific hexagons belong to a cluster and the nature of the cluster, the local indicators of spatial association (LISA) algorithm (Anselin, 1995) was used. Several groups of high-fatality hotspots and low-fatality hotspots were observed when a p-value of 0.05 was used to determine significance ( Figure 3). ...
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... which bears an analogy with local Moran's index in form. It can be termed the Local Indicators of Spatial Interaction (LISI), which bears an analogy with the local indicators of spatial association (LISA) (Anselin, 1995;Anselin, 1996). The G value is a relative measurement, while the E value is an absolute measurement for spatial association. ...
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Spatial autocorrelation and spatial interaction are two important analytical processes for geographical analyses. However, the internal relations between the two types of models have not been brought to light. This paper is devoted to integrating spatial autocorrelation analysis and spatial interaction analysis into a logic framework by means of Getis-Ord's indexes. Based on mathematical derivation and transform, the spatial autocorrelation measurements of Getis-Ord's indexes are reconstructed in a new and simple form. A finding is that the local Getis-Ord's indexes of spatial autocorrelation are equivalent to the rescaled potential energy indexes of spatial interaction theory based on power-law distance decay. The normalized scatterplot is introduced into the spatial analysis based on Getis-Ord's indexes, and the potential energy indexes are proposed as a complementary measurement. The global Getis-Ord's index proved to be the weighted sum of the potential energy indexes and the direct sum of total potential energy. The empirical analysis of the system of Chinese cities are taken as an example to illustrate the effect of the improved methods and measurements. The mathematical framework newly derived from Getis-Ord's work is helpful for further developing the methodology of geographical spatial modeling and quantitative analysis.
... The theory of spatial autocorrelation has been a key element of geographical analysis for more than twenty years. A number of measurements of spatial correlation were proposed so that we can investigate the spatial process of geographical evolution from differing points of view (Anselin, 1995;Bivand et al;Cliff and Ord, 1969;Cliff and Ord, 1981;Getis and Ord, 1992;Griffith, 2003;Haggett et al, 1977;Haining, 2009;Li et al, 2007;Odland, 1988;Sokal and Oden, 1978;Sokal and Thomson, 1987;Tiefelsdorf, 2002;Weeks et al, 2004). Although there are various correlation measurements, two are commonly used. ...
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Spatial autocorrelation plays an important role in geographical analysis, however, there is still room for improvement of this method. The formula for Moran's index is complicated, and several basic problems remain to be solved. Therefore, I will reconstruct its mathematical framework using mathematical derivation based on linear algebra and present four simple approaches to calculating Moran's index. Moran's scatterplot will be ameliorated, and new test methods will be proposed. The relationship between the global Moran's index and Geary's coefficient will be discussed from two different vantage points: spatial population and spatial sample. The sphere of applications for both Moran's index and Geary's coefficient will be clarified and defined. One of theoretical findings is that Moran's index is a characteristic parameter of spatial weight matrices, so the selection of weight functions is very significant for autocorrelation analysis of geographical systems. A case study of 29 Chinese cities in 2000 will be employed to validate the innovatory models and methods. This work is a methodological study, which will simplify the process of autocorrelation analysis. The results of this study will lay the foundation for the scaling analysis of spatial autocorrelation.
... In spatial modeling and time series, several types of contamination can be specified (Anselin, 1995;Fox, 1972). Here, we consider types of contamination frequently observed in spatial data. ...
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... A Local Indicator of Spatial Association (LISA) can also be used to identify regions where the local correlation between two cell types is higher than expected under spatial randomness [52]. Here, we use the topographical correlation map (TCM) to determine whether green cells are locally positively (red) or negatively (blue) associated with blue cells [53]. ...
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... Local Indications of Spatial Association (LISA) reveals the local cluster characteristics of carbon storage by analyzing the differences in the attributes of each grid and surrounding grids, and the formula is as follows (Anselin 1995): ...
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