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Article

Spatial Analysis of Gaps in the Availability of Public Spaces for Physical Activity and Their Relationship with Social Marginalization in Urban Areas of Mexico

by
Mauricio Hernández-F
1,2,
Mariana Ramos-Flores
1,2,
Luis Ortiz-Hernandez
2,3,
Moisés Reyes-Luna
2,4 and
Mónica Ancira-Moreno
2,5,*
1
Research Institute for Equitable Development, Universidad Iberoamericana, Mexico City 01219, Mexico
2
Observatorio Materno Infantil (OMI), Universidad Iberoamericana, Mexico City 01219, Mexico
3
Department of Health Care, Universidad Autónoma Metropolitana Xochimilco, Mexico City 04960, Mexico
4
Department of Economics, Universidad Iberoamericana, Mexico City 01219, Mexico
5
Department of Health, Universidad Iberoamericana, Mexico City 01219, Mexico
*
Author to whom correspondence should be addressed.
Sustainability 2025, 17(23), 10542; https://doi.org/10.3390/su172310542
Submission received: 10 October 2025 / Revised: 14 November 2025 / Accepted: 16 November 2025 / Published: 25 November 2025
(This article belongs to the Section Health, Well-Being and Sustainability)

Abstract

Although access to quality public spaces encourages physical activity (PA), their unequal distribution can exacerbate social inequalities. This study examined the relationship between the availability of spaces for PA and social marginalization in urban Basic Geostatistical Areas (Spanish acronym AGEB) in Mexico, using national databases on urban facilities and demographics. AGEB calculated space densities for PA, and the bivariate Moran’s I and LISA methodology were followed to identify global and local patterns. A weak negative spatial correlation was detected (I = −0.006) at the national level, with clusters of AGEBs with low marginalization and low density of spaces for PA. Contrasts were observed among the three most populous metropolitan areas: Mexico City and Guadalajara showed significant positive correlations, while Monterrey exhibited a different pattern. The urban furniture earmarked for PA is insufficient and its distribution reproduces socio-spatial inequalities. The dynamics differ across metropolises, underscoring the need for localized policies that will prioritize the provision of public spaces in marginalized communities.

1. Introduction

Access to quality public spaces is an essential feature for encouraging physical activity and enhancing public well-being. Physical activity improves physical health by reducing the risk of obesity, cardiovascular disease, and diabetes [1], and has positive effects on emotional well-being, as it reduces anxiety, depression, and stress, and encourages the development of intellectual and cognitive skills [2,3]. Access to parks or green areas has been linked to greater physical activity in children, adolescents [4,5] and adults [6], albeit not consistently. In children and adolescents, the availability of public spaces tends to be associated with greater time for spontaneous outdoor play [5].
Urban planning guarantees equitable access to public spaces for physical activity [7]. In Mexico, 82.1% of the population currently lives in urban areas [8]. However, in many of its cities, distribution of these public spaces is not equitable, potentially creating barriers to physical activity in vulnerable populations [9,10]. Planning gaps fail to place people at the center of decision-making to improve their access to and exercise of their human rights, including the right to health.
Disparities in access to spaces for physical activity can contribute to social inequalities in health-related behaviors [11]. Although there are different forms of physical activity, in the urban context, recreational activity is the most important, since people nowadays spend less time on occupations or modes of transportation that require physical effort. Studies have consistently shown a correlation between higher socioeconomic status and greater engagement in recreational physical activity [12].
Moreover, the analytical framework developed in this research can be adapted to other metropolitan contexts in middle-income countries, contributing to the portability and scalability of spatial equity assessments. This approach strengthens the evidence base for designing inclusive urban and health policies that promote equitable access to spaces for physical activity, reduce inequalities, and support sustainable urban development [13].
Research on urban green areas began in the USA and Canada in the early 90s; after that, in Western Europe, the production on this topic increased [14]. Comparative studies across cities such as Copenhagen, Vancouver, and Melbourne demonstrate that investments in public green infrastructure are associated with higher levels of physical activity, improved social cohesion, and greater perceptions of safety and well-being [15,16]. Among middle-income countries, most research has been conducted in China and Brazil, reflecting growing recognition of the links between spatial justice, environmental health, and sustainable urban development [17,18]. However, evidence from Latin America remains limited despite rapid urbanization and deep social inequalities, making the Mexican context particularly relevant for advancing global discussions on urban health equity [19].
Socioeconomic disparities in the availability of green spaces in Mexico City have previously been analyzed [20,21,22]. These studies show that the availability of green spaces tends to be lower in the most marginalized basic geostatistical areas (AGEB). However, these studies have certain limitations, including that they considered only the state of Mexico City, which is part of the Mexico City Metropolitan Area (MCMA). The MCMA includes municipalities from three states (Mexico City, Mexico State, and Hidalgo), which are socially and historically intertwined. Excluding municipalities in Mexico State and Hidalgo from the analysis means that large areas with the worst living conditions in the MCMA were overlooked. Another limitation of this research is that other cities or metropolitan areas were not included. Although Mexico City is one of the states with the largest population, there are other sizable metropolitan areas, including 14 with populations exceeding one million inhabitants [23]. Although green areas are not equivalent to public spaces for PA, many of them are suitable for this use.
Equitable access to spaces for physical activity must be addressed from a social and environmental justice perspective, since urban design can reinforce or mitigate structural inequalities in health and mobility [24]. Spatial analysis provides tools for examining the geographical distribution of public spaces and their relationship with health and other factors such as social marginalization. Geographic information systems (GIS) can identify patterns of inequality in urban infrastructure and their impact on health equity [11]. The objective of the study is to analyze the spatial distribution and availability of public spaces for PA in urban AGEBs in Mexico and their relationship with social marginalization at the AGEB level.
Recent advances in spatial analysis—including the integration of Geographic Information Systems (GIS), remote sensing, and spatial autocorrelation methods—have enabled a more precise understanding of how the geographic distribution of public spaces intersects with social marginalization and health outcomes [25,26,27]. The present study adopts these innovative approaches to analyze the relationship between the availability of public spaces for physical activity and social marginalization at a high spatial resolution, offering a methodological contribution applicable to diverse urban contexts.

2. Materials and Methods

Public spaces for PA were identified through the INEGI National Geostatistical Framework [28] and OpenStreetMap (for 2024). The National Geostatistical Framework is designed to reference statistical information from INEGI censuses and surveys [29]. In keeping with the Framework, green areas and medians in urban areas with information updated to 2020 were classified as public spaces for PA. Places associated with public space, such as courts, stadiums, gardens, parks, sports units, recreational areas, and green areas, were also considered. This information was supplemented by OSM, a publicly accessible tool continuously updated by user contributions. We used information collected in April 2024. Due to the different classifications adopted by OSM, places classified as parks, fields, and meadows, and points of interest designated as parks were considered public spaces for PA. To avoid duplication in the associated data from the National Geostatistical Framework and OSM, the database was filtered through geometry and attribute concordance checks to ensure that only single values for physical activity spaces were included.
The study explores urban areas using the AGEB as the unit of analysis because it is the spatial scale that best describes the availability of public spaces for PA in the everyday dynamics of the population. At the same time, only urban AGEBs are studied, because the quality of the information from both the National Geostatistical Framework and the OSM is usually more reliable for these types of settlements than for rural AGEBs. A total of 66,422 urban AGEBs were identified.
To ensure that the analysis was based on AGEBs with a resident population and to explore the surroundings in which this population lived, the AGEBs were divided into quintiles based on the number of inhabited dwellings registered in the 2020 INEGI Population and Housing Census [29]. AGEBs found in the first quintile, in other words, those that had between 0 and 22 inhabited dwellings, were excluded. This criterion removes units that are predominantly industrial or logistics in function, as well as protected natural areas, where public-space provision patterns are atypical relative to residential contexts. The final number of urban AGEBs analyzed was 50,372.
Once the public spaces for PA and the main urban AGEBs inhabited by the population were determined, we calculated the density of public spaces for PA in each AGEB as the quotient of the number of square meters of public spaces for PA divided by the total population residing in that AGEB, multiplied by 100. Spatial accessibility—including measures such as walking time and transport connectivity—was not explicitly considered in this analysis. We used the density of public spaces for PA as a proxy for potential availability rather than effective accessibility.
The level of marginalization considered is the 2020 Urban Marginalization Index reported by the National Population Council (CONAPO) at the AGEB level [30]. CONAPO developed the index from the socioeconomic indicators calculated from the 2020 Population and Housing Census, such as the percentages of the population between the ages of six and 14 who do not attend school, the population aged 15 or older who do not have basic education, the population without state health insurance, and occupants of private homes lacking drainage, toilets, electricity, and piped water, with dirt floors, overcrowding, and no refrigerator, internet, or cell phone [20]. We should emphasize that a higher level on the 2020 marginalization index indicates that the corresponding AGEB has less social marginalization.
We created quartiles from the marginalization index for each metropolitan area. The means and medians of the density of spaces for PA were obtained for each marginalization quartile. We calculated the median in addition to the mean because the space density variable for PA has a right-skewed distribution. The ANOVA test was used to identify differences between the means of the density of areas for PA between quartiles, while the Kruskal–Wallis test was used to test the differences between the medians of the quartiles.
The relationship between the density of public spaces for PA and the marginalization index at the AGEB level was analyzed using the bivariate Moran’s I method and Local Indicators of Spatial Association (LISA) [31], which were used to construct maps [32]. We began by defining the proximity between geographical units as the Queen criterion, the most widely used criterion in the literature for this type of spatial modeling, whereby AGEBs with an adjacent edge or a vertex in common are considered neighbors, and subsequently measured whether the value of a quantitative variable in one AGEB had any relationship to the value of another quantitative variable in neighboring AGEBs, weighting by proximity to calculate the global bivariate Moran’s I. A positive overall bivariate Moran’s I value indicates that, in general, high values of one variable at one location tend to be associated with high values of the other variable at neighboring locations. Conversely, LISA maps represent the local spatial association generated by Moran’s I. In other words, regardless of whether there is a global association or correlation, it is possible to visualize clusters of spatial units with a common relationship with neighboring units. The LISA analysis classifies units of analysis into five main categories: non-significant; high levels of both variables; low levels of both variables; a high level of one variable with a low level of the other; and a low level of one variable with a high level of the other. A classification as non-significant indicates that there is insufficient statistical evidence to assume the existence of a correlation between the value of a variable in each spatial unit and the value of another variable in neighboring spatial units [22].
Since there are marked regional contrasts in Mexico [33], in addition to the analysis of the entire set of urban AGEBs in the country, separate analyses were also conducted for the subsets of AGEBs in the three most populated metropolitan areas in Mexico, Mexico City, Monterrey and Guadalajara, housing 17%, 4.2%, and 4.1% of the total population of Mexico.
The Marginalization Index measures the degree of deprivations and social disadvantages experienced by the population in a given territory (AGEBs), which may be unrelated to the specific characteristics of the households within it. Therefore, we conducted a sensitivity analysis by re-running the analysis using Moran’s I and LISA, replacing the CONAPO marginalization index with the AMAI index, which is a household socioeconomic level index for Mexico, built by the Mexican Association of Market Intelligence (AMAI by its acronym in Spanish), based on assets, housing conditions, and education of the main earner [24].
The software used to estimate Moran’s I was GeoDa 1.22 [31]. The tool used to analyze the spaces for PA of the National Geostatistical Framework and OSM was QGIS 3.36, which made it possible to detect duplicates, eliminate observations that did not correspond to spaces for physical activity, and calculate the area represented by each space and the density of spaces for physical activity in each AGEB (Figure 1).

3. Results

3.1. Spatial Association Analysis of Urban AGEBs in Mexico

A total of 50,372 urban AGEBs with more than 22 inhabited dwellings were identified, along with 115,149 public spaces for PA. Table 1 presents descriptive statistics for the AGEBs on the marginalization index, total inhabited dwellings, and the density of spaces for physical activity. The lowest marginalization index value, 53.4, representing a high level of marginalization, was found in an AGEB in Matamoros, Tamaulipas. The highest value, 128, was found in an AGEB in Atizapán de Zaragoza, Mexico State. It was also observed that AGEBs have a mean value of 120, considered a medium degree of marginalization. Regarding the other variables, each AGEB has a mean of 559 inhabited dwellings and 15,333 square meters of spaces for physical activity. It is important to note that the marginalization index values are inversely related to the level of deprivation: higher index values indicate lower marginalization within an AGEB.
Considering all urban AGEBs in Mexico, the estimated Moran’s I was −0.006 at the 99% confidence level, indicating a negative spatial correlation. This means that there is a tendency for AGEBs with a higher marginalization index (low marginalization) to have low densities of spaces for PA, or for AGEBs with a lower marginalization index (high marginalization) to have relatively high densities of spaces for PA (Figure 2). Regarding the LISA analysis (which involves a local indicator), the clusters found are mainly composed of AGEBs with low marginalization indices and a higher density of public spaces for PA.
Table 2 shows that most AGEBs are located within the LISA cluster of “Low Density, Low Marginalization”. This reflects the negative spatial correlation observed in the overall Moran’s I, as AGEBs with the highest levels of the marginalization index (i.e., contexts with low marginalization) have a low density of PA spaces. The second largest cluster is the “Low Density, High Marginalization” category. Overall, these results indicate that many urban AGEBs, regardless of their level of marginalization, tend to have a low density of public spaces for PA.
Finally, Table 3 shows the density of public spaces for PA by LISA cluster type, with each urban AGEB classified. The LISA cluster with the lowest mean density is characterized by high marginalization and low density, accounting for 254 square meters of public spaces for PA per 100 inhabitants. Additionally, the cluster of AGEBs with low marginalization and low density has on average, three times as much availability of these spaces as the previous cluster.

3.2. Spatial Association Analysis in the Three Most Populated Metropolitan Areas in Mexico

The same spatial association methodology was used in the three most populated metropolitan areas (MAs) in Mexico: the Mexico City Metropolitan Area, the Monterrey Metropolitan Area, and the Guadalajara Metropolitan Area. The distribution of public spaces for PA identified is shown in Figure 3, Figure 4 and Figure 5.
Figure 3 shows that public spaces for physical activity, especially those with a larger area, are concentrated in the Mexico City boroughs, while the outskirts (State of Mexico and Hidalgo) have the lowest number of these spaces. From an urban planning perspective, this indicates that the outskirts receive the least investment in public spaces for PA. Similar patterns are observed in the metropolitan areas of Monterrey and Guadalajara (Figure 4 and Figure 5). Table 4 presents descriptive statistics for AGEBs in metropolitan areas on the marginalization index, total inhabited dwellings, and the density of spaces for PA.
Across the three metropolitan areas, both the means and medians of PA space density tended to be higher in AGEBs with higher marginalization indices (i.e., lower marginalization) (Table 5). The same trend was observed across metropolitan areas when comparing median PA space density. The same linear trend was observed in the means for the metropolitan area of the Valley of Mexico and the metropolitan area of Monterrey, although it was less clear in the latter. There were no differences in the mean density of PA spaces in the Guadalajara Metropolitan Area.
Regarding the overall spatial association, the bivariate Moran’s I test results were 0.057, −0.012, and 0.006 for the metropolitan areas of Mexico City, Monterrey, and Guadalajara, respectively, with a 99% confidence level. The positive spatial correlation is stronger in the Mexico City metropolitan area than in the Guadalajara metropolitan area, while that of the Monterrey metropolitan area is negative. These results are consistent with the maps resulting from the LISA analysis (Figure 6, Figure 7 and Figure 8), showing that MAs with a positive spatial correlation (positive sign in the bivariate Moran’s I), have a cluster pattern with a predominance of AGEBs with low marginalization (high marginalization index) and a higher density of public spaces for PA. In the Monterrey Metropolitan Area (MA), there is a predominance of AGEBs with low marginalization (high marginalization index) and a low density of public spaces for PA, showing that a negative sign in the spatial correlation does not necessarily imply the presence of areas with high levels of marginalization and a high density of public spaces for PA.
Figure 6 shows the LISA analysis map of the Mexico City metropolitan area. Green shows clusters with low marginalization and a high density of PA spaces (dark green) or low marginalization and low density (light green). Red shows places with high marginalization and a low density of PA spaces (dark red) or high marginalization and high density (light red). This spatial pattern shows that the green colors are concentrated in the west of the metropolitan area, while the reds are focused on the east.
Figure 7 shows the LISA analysis map of the Monterrey Metropolitan Area. In this case, the spatial pattern is less pronounced. However, the green colors are primarily concentrated in the southwest of the metropolitan area, while the red colors are focused on the outskirts and the north.
Lastly, Figure 8 shows the LISA analysis map of the Guadalajara Metropolitan Area. This metropolitan area has a more defined spatial pattern than Monterrey, with some similarities to Mexico City’s metropolitan area, as the green colors are primarily concentrated in the western part, while the red colors are focused on the outskirts.

4. Discussion

This study identified inequalities in the availability and spatial distribution of public spaces designated for PA across urban AGEBs nationwide and in the three most populous metropolitan areas in Mexico: Mexico City, Monterrey, and Guadalajara. These results indicate a negative spatial association between the marginalization index and the density of spaces for PA in urban AGEBs, confirming previous hypotheses about the influence of social and urban determinants on the accessibility of healthy environments [7,34]. As a reminder, higher values of the marginalization index correspond to lower levels of marginalization. This inequality is a critical factor in perpetuating disparities in health and well-being, especially among vulnerable populations. The results reveal an unequal distribution that primarily affects populations with fewer socioeconomic resources, confirming the existence of a social and urban gap restricting access to healthy environments. This situation perpetuates a cycle of health inequality, given that the lack of adequate spaces limits opportunities to adopt the active, healthy lifestyles essential to physical and psychological development [34]. The results contribute to the discussion on the availability and access to public spaces for PA and their relationship with the well-being of the population.
In the Mexican context, the lack of sufficient PA spaces in the most marginalized areas represents a tangible manifestation of urban inequality in Mexico, restricting recreation and exercise options for the population, particularly the opportunities for children to adopt healthy lifestyles. Among the cities analyzed, Mexico City’s metropolitan area showed the most significant inequity in the coverage of public spaces for PA, as indicated by both the analysis comparing means across marginalization quartiles and the bivariate Moran’s I test. This could be related to the fact that the unequal distribution of these spaces is generally linked to urban policies that have historically favored higher-income areas, sprawling growth, gentrification, and institutional priorities that have privileged areas with greater economic capacity [35]. Several authors have pointed out that urban planning in large Latin American metropolises tends to reproduce social inequalities through the inequitable allocation of urban resources and services [36]. By contrast, the Guadalajara Metropolitan Area (GMA) was the least unequal according to the comparison of means by marginalization quartiles. In contrast, the Monterrey Metropolitan Area (MMA) showed an opposite pattern to Mexico City and Guadalajara, as indicated by the bivariate Moran’s I analysis. This could suggest that its urban policies or socioeconomic dynamics promote more equitable distribution of public spaces, constituting good practice. These results may reflect MMA’s historical trajectory as a more industrial and export-oriented metropolis, characterized by faster population and economic growth than MCMA and GMA cases—factors likely to have shaped its urban form and service provision. Consequently, the level of public equipment and amenities may vary according to the planning standards and performance benchmarks that guided its development at different stages. As contextual information, data from the last five census rounds indicate that Mexico City’s population grew by approximately 150%, Guadalajara’s by about 200%, and Monterrey’s by more than 300%, underscoring Monterrey’s distinctive growth dynamics. However, since it may also reflect a general lack of public facilities, the case warrants a more in-depth analysis of the design, implementation, and impact of the public policies involved.
Lack of equitable access to PA spaces is a critical component of environmental injustice, with implications for the physical and mental health of the population, as well as for social well-being and community cohesion [7,24]. In Mexico, this inequity reflects and exacerbates existing socioeconomic gaps, disproportionately affecting the most vulnerable groups. Studies of similar urban contexts have shown that access to green spaces is associated with lower stress levels, better mental health outcomes, and greater social cohesion, especially in marginalized communities [37].
Socioeconomic inequality in PA spaces has been a consistent finding worldwide [38,39]. Higher socioeconomic position groups choose to live in the best areas of cities [40]. They can decide where to reside because they have the financial resources to afford the more expensive areas. In addition, higher socioeconomic position groups have more political power that can influence urban development. In middle- or low-income countries, other processes also explain area-level inequality in PA spaces. The explosive urbanization in these countries was driven by massive migration from rural areas [14].
In most cases, new dwellers in cities settled in informal areas without basic urban infrastructure. Therefore, in these areas, there were no green areas, parks, or courts. Low political participation and power among low-income people explain the persistence of inequities in PA.
The findings highlight the urgent need for comprehensive, equitable urban public policies that include intersectoral coordination and community participation. The health sector must lead these initiatives, promoting urban planning that prioritizes quality of life and active mobility, especially in areas with high poverty and marginalization rates [7,41]. This will reduce environmental and social risks, improve public health, and contribute to more equitable, healthy cities. Furthermore, evidence suggests that multi-sectoral interventions integrating urban planning, public health, and community participation are most effective in reducing inequalities in access to PA spaces [42].
Measuring socioeconomic status is complex, and health research is compromised if only limited aspects are addressed [31]. Although we performed a sensitivity analysis using an alternative measure of socioeconomic status, the AMAI socioeconomic status index, it yielded similar results to the main analysis with the Marginalization Index. These results are given in Figure A1, Figure A2 and Figure A3 and Table A1, Table A2 and Table A3 in Appendix A.
The study has certain limitations. We fully acknowledge that accessibility is a crucial dimension of equity and urban design. We used a density indicator because the data required to compute spatial accessibility indicators—such as walking time or transport connectivity—were unavailable. It should also be noted that the National Geostatistical Framework provided the majority of public-space features and was used as the primary base layer due to its official status. OpenStreetMap (OSM) was incorporated only as a complementary source; however, a full quantitative estimation of error rates in the deduplication process was not conducted. Additionally, the National Geostatistical Framework is designed to support census-taking and large national surveys, rather than to comprehensively quantify public spaces for physical activity; hence, a residual possibility of omission is acknowledged.
The overall correlation identified through the bivariate Moran’s I is relatively weak at the national level. However, when focusing on metropolitan areas, spatial correlations become more pronounced, suggesting that spatial clustering is more evident in densely populated urban contexts. The results of spatial analyses often depend on the scale used. We conducted our study at the scale of Mexican AGEBs, which is the most appropriate spatial unit for the analysis because they offer finer spatial resolution than municipalities or other larger administrative units. In contrast, minor scales often lack reliable or complete information and are also sized in line with the report’s principles: “Providing accessible natural greenspace in towns and cities” [43].
We based our analysis on a specific spatial correlation methodology. However, in addition to the global bivariate Moran’s analysis, other spatial association tests—Geary’s C and Getis-Ord G—were also conducted. The results are shown in Appendix B. Briefly, the bivariate Geary’s C result is 0.84, significant at the 99% level, suggesting a moderate positive spatial relationship between both variables. In other words, AGEBs with high marginalization index values tend to be located near units with a high density of spaces for physical activity, and the same pattern is observed for low values. Considering the results of both Moran’s I and the bivariate Geary’s statistic, these findings confirm the existence of a shared spatial dependence between the two variables.
One strength of the study was the inclusion of separate analyses for subsets of AGEBs in the country’s three most populated metropolitan areas, enabling us to observe that Mexican cities may follow a different logic in the distribution of spaces for PA. This finding calls for a contextualized analysis and the proposal of solutions adapted to the specific realities of each region and locality.

5. Conclusions

This study reveals marked inequities in the spatial distribution of public spaces for physical activity across Mexican urban areas, reinforcing cycles of social and health inequality. These disparities vary by city, with low-income census tracts facing compounded disadvantages due to limited access both locally and in surrounding areas.
Urban planning must be revisited to center on people, uphold an equity perspective, and prioritize the public interest over private gain. Designing healthy and livable cities should be both a global and national priority in Mexico, with planning processes aligned to public health, sustainability, and community well-being. Achieving this requires multisectoral coordination and the active participation of communities to ensure that public spaces effectively promote physical activity and inclusion. The development of a national research agenda is also essential to guide urban planning and the equitable design of cities, generating evidence on effective access to and fair use of public spaces for physical activity. Despite limitations in data scope and the cross-sectional nature of the study, these findings provide a solid foundation for future longitudinal and participatory spatial research to inform policies that foster equitable access to public spaces and advance urban health equity.
Future research should also explore temporal changes in public-space availability, assess the impacts of mobility and transportation patterns on access, and apply the proposed spatial workflow to other dimensions of urban inequality—helping to build a more comprehensive evidence base for equitable and healthy city planning.

Author Contributions

Conceptualization, M.H.-F. and M.A.-M.; methodology, M.H.-F., M.R.-F., L.O.-H., M.R.-L. and M.A.-M.; investigation, M.H.-F., M.R.-F., L.O.-H., M.R.-L. and M.A.-M.; formal analysis, M.H.-F. and M.R.-F.; data curation, M.R.-F. writing—original draft preparation, M.H.-F., M.R.-F., L.O.-H. and M.A.-M.; writing—review and editing, M.H.-F., M.R.-F. and M.A.-M.; visualization, M.H.-F. and M.R.-F.; project administration, M.H.-F. and M.A.-M.; funding acquisition, M.H.-F. and M.A.-M. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Databases of the Marginalization Index from the National Population Council (CONAPO): https://conapo.segob.gob.mx/work/models/CONAPO/Datos_Abiertos/Marginacion/IMU_2020.zip (accessed on 3 June 2024). Public databases of spaces for physical activity—Geostatistical Framework of the 2020 Population and Housing Census: https://www.inegi.org.mx/app/biblioteca/ficha.html?upc=889463807469 (accessed on 24 August 2023). OpenStreetMap database: Key, Value, Description: Leisure, park, Public or urban parks; Leisure, recreation_ground, General recreational areas, often with fields or playgrounds; Leisure, garden, Public or private gardens; Leisure, nature_reserve, Natural reserves, sometimes with walking trails; landuse, grass/recreation_ground, Land used for outdoor or recreational purposes; leisure, pitch, Sports fields (soccer, basketball, baseball, etc.); leisure, sports_centre, Sports or recreation centers; leisure, stadium, Stadiums or large sports venues; leisure, fitness_centre, Indoor gyms or fitness centers; Resulting LISA datasets: https://doi.org/10.5281/zenodo.17315094.

Conflicts of Interest

The authors declare no conflicts of interest.

Abbreviations

The following abbreviations are used in this manuscript:
AGEBÁrea Geoestadística Básica (Basic Geostatistical Area)
AMAIAsociación Mexicana de Agencias de Inteligencia de Mercado y Opinión Pública
CONAPOConsejo Nacional de Población (National Population Council)
GISGeographic Information Systems
GMAGuadalajara Metropolitan Area
INEGIInstituto Nacional de Estadística y Geografía (National Institute of Statistics and Geography)
LISALocal Indicators of Spatial Association
MAMetropolitan Area
MCMAMexico City Metropolitan Area
MMAMonterrey Metropolitan Area
OSMOpen Street Map
PAPhysical Activity

Appendix A

Figure A1, Figure A2 and Figure A3 show the LISA analysis of spatial correlation, according to the socioeconomic level criteria of the Mexican Association of Market Intelligence and Opinion Agencies (Spanish acronym AMAI). The exercise explores whether the findings of the main analysis on the spatial distribution of marginalization index published by CONAPO and the distribution of spaces for physical activity hold true. It is observed that the spatial correlation is similar in the Metropolitan Areas analyzed.
Figure A1. LISA analysis of spatial correlation of the metropolitan area of Mexico City, considering the density of public spaces for PA and the AMAI socioeconomic status values by AGEB.
Figure A1. LISA analysis of spatial correlation of the metropolitan area of Mexico City, considering the density of public spaces for PA and the AMAI socioeconomic status values by AGEB.
Sustainability 17 10542 g0a1
Figure A2. LISA analysis of spatial correlation of the metropolitan area of Monterrey, considering the density of public spaces for PA and the AMAI socioeconomic status values by AGEB.
Figure A2. LISA analysis of spatial correlation of the metropolitan area of Monterrey, considering the density of public spaces for PA and the AMAI socioeconomic status values by AGEB.
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Figure A3. LISA analysis of spatial correlation of the metropolitan area of Guadalajara, considering the density of public spaces for PA and the AMAI socioeconomic status values by AGEB.
Figure A3. LISA analysis of spatial correlation of the metropolitan area of Guadalajara, considering the density of public spaces for PA and the AMAI socioeconomic status values by AGEB.
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Table A1, Table A2 and Table A3 show the descriptive statistics (mean, standard deviation, minimum and maximum value) of the clusters derived from the LISA spatial correlation analysis, with the CONAPO database and the distribution of spaces for physical activity.
Table A1. Marginalization index by LISA cluster: metropolitan area of Mexico City.
Table A1. Marginalization index by LISA cluster: metropolitan area of Mexico City.
Marginalization Index
LISA ClusterObservationsMeanStandard DeviationMinimumMaximum
Non-Significant AGEBs6080121.52.399.6127.5
High Density, Low Marginalization132124.31.8115.0128
Low Density, High Marginalization728117.13.199.7125
Low Density, Low Marginalization1112123.81.3116.7127.6
High Density, High Marginalization8115.63.6109119.8
Source: Prepared by the authors. Note: the denominations shown in the high/low marginalization symbology are derived from the low/high marginalization index levels, respectively.
Table A2. Marginalization index by LISA cluster: Monterrey metropolitan area.
Table A2. Marginalization index by LISA cluster: Monterrey metropolitan area.
Marginalization Index
LISA ClusterObservationsMeanStandard DeviationMinimumMaximum
Non-Significant AGEBs1278123.2299.6127.5
High Density, Low Marginalization23126.41.2121.9127.5
Low Density, High Marginalization236120.52.3109.4126.7
Low Density, Low Marginalization315125.42.390.3127.6
High Density, High Marginalization8122.13.2118.3126.9
Source: Prepared by the authors. Note: the denominations shown in the high/low marginalization symbology are derived from the low/high marginalization index levels, respectively.
Table A3. Marginalization index by LISA cluster: Guadalajara metropolitan area.
Table A3. Marginalization index by LISA cluster: Guadalajara metropolitan area.
Marginalization Index
LISA ClusterObservationsMeanStandard DeviationMinimumMaximum
Non-Significant AGEBs1236121.22.5102.6126.9
High Density, Low Marginalization24124.12.7117.3127.6
Low Density, High Marginalization200117.32.9106.3124.8
Low Density, Low Marginalization347124.41.5115.1127.4
High Density, High Marginalization8115.85.6107.1126
Source: Prepared by the authors. Note: the denominations shown in the high/low marginalization symbology result from the low/high marginalization index levels, respectively.

Appendix B

Since the Getis-Ord G statistic is univariate, the global spatial correlation of each variable was estimated separately. The results show a positive spatial clustering of marginalization, with a 99% significance level, indicating that AGEBs with high marginalization index values tend to be spatially concentrated. Regarding the results for the density of spaces for physical activity, AGEBs with high density are also, on average, geographically clustered, with a 99% significance level (for further details, see the Appendix B).
Table A4. Marginalization index.
Table A4. Marginalization index.
Variable AnalyzedMarginalization Index
Global G Statistic8.71 × 10−5
Expected Value E(G)8.60 × 10−5
Variance3.15 × 10−16
Standard Deviation (Z-score)61.456
p-value<0.001
Significance level99.9%
Source: own elaboration.
Table A5. Density of spaces for physical activity.
Table A5. Density of spaces for physical activity.
Variable AnalyzedDensity
Global G Statistic4.98 × 10−3
Expected Value E(G)8.60 × 10−5
Variance8.14 × 10−9
Standard Deviation (Z-score)54.223
p-value<0.001
Significance level99.9%
Source: own elaboration.
The bivariate Geary’s C result is 0.84, significant at the 99% level, suggesting a moderate positive spatial relationship between both variables. In other words, AGEBs with high marginalization index values tend to be located near units with high density of spaces for physical activity, and the same pattern is observed for low values.

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Figure 1. Flowchart of the materials and methods. Source: prepared by the authors.
Figure 1. Flowchart of the materials and methods. Source: prepared by the authors.
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Figure 2. Global spatial association between marginalization index and density of PA spaces. Source: prepared by the authors. Note: higher values of the marginalization index correspond to lower levels of marginalization.
Figure 2. Global spatial association between marginalization index and density of PA spaces. Source: prepared by the authors. Note: higher values of the marginalization index correspond to lower levels of marginalization.
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Figure 3. Distribution of public spaces for PA in Mexico City, MA. Source: prepared by the authors.
Figure 3. Distribution of public spaces for PA in Mexico City, MA. Source: prepared by the authors.
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Figure 4. Distribution of public spaces for PA in the Monterrey MA. Source: prepared by the authors.
Figure 4. Distribution of public spaces for PA in the Monterrey MA. Source: prepared by the authors.
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Figure 5. Distribution of public spaces for PA in the Guadalajara MA. Source: prepared by the authors.
Figure 5. Distribution of public spaces for PA in the Guadalajara MA. Source: prepared by the authors.
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Figure 6. LISA analysis of the spatial association of the density of public spaces for PA and the marginalization index in AGEBs in the Mexico City metropolitan area. Source: prepared by the authors. Note: the denominations shown in the high/low marginalization symbology reflect the low/high marginalization index levels, respectively. Also, higher values of the marginalization index correspond to lower levels of marginalization.
Figure 6. LISA analysis of the spatial association of the density of public spaces for PA and the marginalization index in AGEBs in the Mexico City metropolitan area. Source: prepared by the authors. Note: the denominations shown in the high/low marginalization symbology reflect the low/high marginalization index levels, respectively. Also, higher values of the marginalization index correspond to lower levels of marginalization.
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Figure 7. LISA analysis of the spatial association of the density of public spaces for PA and the marginalization index in AGEBs in the Monterrey metropolitan area. Source: prepared by the authors. Note: the denominations shown in the high/low marginalization symbology are derived from the low/high marginalization index levels, respectively. Also, higher values of the marginalization index correspond to lower levels of marginalization.
Figure 7. LISA analysis of the spatial association of the density of public spaces for PA and the marginalization index in AGEBs in the Monterrey metropolitan area. Source: prepared by the authors. Note: the denominations shown in the high/low marginalization symbology are derived from the low/high marginalization index levels, respectively. Also, higher values of the marginalization index correspond to lower levels of marginalization.
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Figure 8. LISA analysis of the spatial association of the density of public spaces for PA and the marginalization index of AGEBs in the Guadalajara metropolitan area. Source: prepared by the authors. Note: the denominations shown in the high/low marginalization symbology reflect the low/high marginalization index levels, respectively. Also, higher values of the marginalization index correspond to lower levels of marginalization.
Figure 8. LISA analysis of the spatial association of the density of public spaces for PA and the marginalization index of AGEBs in the Guadalajara metropolitan area. Source: prepared by the authors. Note: the denominations shown in the high/low marginalization symbology reflect the low/high marginalization index levels, respectively. Also, higher values of the marginalization index correspond to lower levels of marginalization.
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Table 1. Marginalization index, density of green areas and number of inhabited dwellings in AGEBs (n = 50,372).
Table 1. Marginalization index, density of green areas and number of inhabited dwellings in AGEBs (n = 50,372).
VariableMeanStandard
Deviation
MinimumMaximum
Inhabited dwellings (n)559.3513.4229008
Marginalization index120.05.453.4128.0
Space density for PA ( m 2 / 100   i n h a b i t a n t s )15,332277,425022,700,000
Source: prepared by the authors using data from CONAPO 2020, INEGI 2020, and OSM.
Table 2. Frequency of AGEBs by classification category according to the LISA analysis and quintile of the marginalization index.
Table 2. Frequency of AGEBs by classification category according to the LISA analysis and quintile of the marginalization index.
Marginalization Index
LISA ClusterObservationsMeanStandard DeviationMinimumMaximum
Non-significant34,368119.83.862.6127.5
High Density, Low Marginalization441123.210.690.3128
Low Density, High Marginalization4240112.39.261.2126.3
Low Density, Low Marginalization10,1421242.278.4127.6
High Density, High Marginalization78112.78.065126.9
Source: prepared by the authors based on the results of the LISA analysis. Note: Higher values of the marginalization index correspond to lower levels of marginalization. the non-significant LISA cluster indicates that there is insufficient statistical evidence to assume a spatial correlation between the density of spaces for physical activity in an AGEB and its marginalization index. The denominations shown in the high/low marginalization symbology reflect the low/high marginalization index levels, respectively.
Table 3. Density of public spaces for PA by classification in the LISA analysis.
Table 3. Density of public spaces for PA by classification in the LISA analysis.
Density of Spaces for Physical Activity
LISA ClusterObservationsMeanStandard DeviationMinimumMaximum
Non-significant34,36815,035.2298,302.6022,700,000
High Density, Low Marginalization441308,689.7993,634.315,030.411,300,000
Low Density, High Marginalization4240254.41148.2014,169.8
Low Density, Low Marginalization10,1421113.12061.4014,979.4
High Density, High Marginalization78945,382.31,650,18016,104.76,615,306
Source: prepared by the authors. Note: the denominations shown in the high/low marginalization symbology reflect the low/high marginalization index levels, respectively. Also, higher values of the marginalization index correspond to lower levels of marginalization.
Table 4. Marginalization index, density of green areas and number of inhabited dwellings in urban AGEBs (n = 50,372) in the metropolitan areas.
Table 4. Marginalization index, density of green areas and number of inhabited dwellings in urban AGEBs (n = 50,372) in the metropolitan areas.
Mexico City Metropolitan Area
VariableObservationsMeanStandard DeviationMinimumMaximum
Density of green areas928521,642.4285,519.3011,300,000
Marginalization index9275121.6390.3128
Inhabited dwellings9285951.3679.4229008
Guadalajara Metropolitan Area
Density of green areas183018,072.2244,019.906,798,192
Marginalization index1824121.43.1102.6127.6
Inhabited dwellings1830779.6537.7224098
Monterrey Metropolitan Area
Density of green areas187968,092.2567,505.5011,300,000
Marginalization index1876123.32.590.3127.6
Inhabited dwellings1879750.6464.2223253
Source: prepared by the authors. Note: higher values of the marginalization index correspond to lower levels of marginalization.
Table 5. Means and medians of the density of spaces for PA according to the marginalization quartiles in the AGEBs of the three largest metropolitan areas.
Table 5. Means and medians of the density of spaces for PA according to the marginalization quartiles in the AGEBs of the three largest metropolitan areas.
Q1Q2Q3Q4p
Three metropolitan areas
Mean14,834.59031.013,411.942,469.8<0.000
Median0.0108.8287.8757.7<0.000
Mexico City Metropolitan Area
Mean3153.02611.05650.517,243.5<0.000
Median060.6189.7563.8<0.000
Guadalajara Metropolitan Area
Mean27,161.24523.95306.035,186.30.138
Median033.1184.2693.5<0.000
Monterrey Metropolitan Area
Mean37,594.932,481.644,378.6124,423.70.021
Median257.6431.5675.61356.3<0.000
Source: prepared by the authors. Note: p values were obtained using ANOVA (to compare means) and the Kruskal–Wallis test was used to compare medians.
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Hernández-F, M.; Ramos-Flores, M.; Ortiz-Hernandez, L.; Reyes-Luna, M.; Ancira-Moreno, M. Spatial Analysis of Gaps in the Availability of Public Spaces for Physical Activity and Their Relationship with Social Marginalization in Urban Areas of Mexico. Sustainability 2025, 17, 10542. https://doi.org/10.3390/su172310542

AMA Style

Hernández-F M, Ramos-Flores M, Ortiz-Hernandez L, Reyes-Luna M, Ancira-Moreno M. Spatial Analysis of Gaps in the Availability of Public Spaces for Physical Activity and Their Relationship with Social Marginalization in Urban Areas of Mexico. Sustainability. 2025; 17(23):10542. https://doi.org/10.3390/su172310542

Chicago/Turabian Style

Hernández-F, Mauricio, Mariana Ramos-Flores, Luis Ortiz-Hernandez, Moisés Reyes-Luna, and Mónica Ancira-Moreno. 2025. "Spatial Analysis of Gaps in the Availability of Public Spaces for Physical Activity and Their Relationship with Social Marginalization in Urban Areas of Mexico" Sustainability 17, no. 23: 10542. https://doi.org/10.3390/su172310542

APA Style

Hernández-F, M., Ramos-Flores, M., Ortiz-Hernandez, L., Reyes-Luna, M., & Ancira-Moreno, M. (2025). Spatial Analysis of Gaps in the Availability of Public Spaces for Physical Activity and Their Relationship with Social Marginalization in Urban Areas of Mexico. Sustainability, 17(23), 10542. https://doi.org/10.3390/su172310542

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