Modeling Health-Supportive Urban Environments: The Role of Mixed Land Use, Socioeconomic Factors, and Walkability in U.S. ZIP Codes
Abstract
1. Introduction
- ▪
- Hybrid 1 includes walkability variables.
- ▪
- Hybrid 2 adds water-area measures.
- ▪
- Hybrid 3 incorporates carbon-emission variables and excludes ZIP codes with water area.
- ▪
- Hybrid 4 uses only socioeconomic and land-use indicators.
- ▪
- The All-ZIP Codes model applies to a unified structure for all 28,758 ZIP codes.
2. Literature Review
Research Gaps Identified in the Literature
- 1.
- Lack of ZIP-code–level, national models integrating walkability, health services, and environmental measures.
- Most studies focus on cities, counties, or neighborhoods, but large-scale, data-driven analyses at fine geographic resolution remain limited.
- 2.
- Limited empirical research linking mixed-use development to health outcomes via composite indices.
- Existing studies often analyze walkability, land-use mix, or emissions independently rather than through holistic integrated metrics.
- 3.
- Insufficient differentiation between metropolitan, micropolitan, and rural areas.
- Research tends to focus on large cities, overlooking the geographic heterogeneity and non-metropolitan dynamics.
- 4.
- Absence of model-based typologies linking urban form, socioeconomic structure, and environmental sustainability.
- Clustering methods are underused in studies of health-supportive environments.
- 5.
- No study uses multiple statistical formulations (Hybrid Models 1–4) to test variable stability under different modeling constraints.
- Most studies rely on a single regression structure, limiting robustness.
- 6.
- Limited use of machine learning methods for structured urban datasets.
- Machine learning is commonly applied to image-based data, but rarely to large-scale ZIP-code demographic datasets.
3. Data and Methods
3.1. Primary Research Hypothesis (H1)
3.2. Supporting Hypotheses
3.3. Data Sources
3.4. Methodology
- Urban form indicators:
- –
- Walk Score, representing the walkability index based on distance to nearby amenities
- –
- Mix Factor, capturing the balance of population, jobs, and employment diversity
- –
- Population density, representing residents per square mile
- –
- Number of businesses, measuring overall economic activity
- Facility availability variables:
- –
- Education facilities
- –
- Health facilities
- –
- Accommodation and food services
- –
- Arts, entertainment, and recreation facilities
- Socioeconomic and demographic variables:
- –
- Income per household
- –
- % occupied housing units
- –
- Median age
- –
- Diversity of race, measuring the probability that two randomly selected residents have different races
- –
- Population aged 75 years and over
- Environmental variables: Total carbon emissions (tCO2e/yr) for each ZIP code
3.4.1. Construction of Health and Fitness Index (HFI):
- = normalized value
- = raw variable value
- , = min and max of the variable
- (1)
- Walkability (Walkscore_Norm)
- = network distance to the nearest amenity in category (e.g., grocery, school, park, restaurant)
- = category weight
- = distance-decay function awarding maximum points for distances ≤ 0.4 km and zero points for distances ≥ 1.6 km
- (2)
- Healthcare Accessibility (Health_Norm)
- = number of licensed healthcare facilities in ZIP code i
- = land area of the ZIP code
- (3)
- Environmental Sustainability (Carbon_Norm)
- : normalized walkability score
- : normalized density of health facilities
- : normalized total carbon emissions (inverted to reflect positive contribution to fitness).
3.4.2. Predictive Modeling
- ✓
- Multiple Linear Regression: A baseline model was estimated as:
- : Health and Fitness Index for ZIP code i
- : predictor j (urban form, socioeconomic, environmental variables)
- : regression coefficients
- : error term
- ✓
- Model fit was assessed via RMSE and MAE:
- ✓
- Lasso Regression: To handle multicollinearity and perform feature selection, Lasso regression was employed:
- ✓
- Decision Tree Model: A Decision Tree Regressor was implemented to capture nonlinear interactions.
- ➢
- Splits were chosen to minimize the Mean Squared Error (MSE) at each node:
- ➢
- Feature importance was computed as:
- : set of nodes where feature was used
- : reduction in MSE due to the split at node
- ✓
- K-Nearest Neighbor (KNN) Classifier: The K-Nearest Neighbor classifier was employed to categorize ZIP codes into high-, medium-, and low-HFI groups and to identify the variables that most strongly differentiate these categories.
- KNN Algorithm: KNN classifies an observation by examining the k closest ZIP codes in feature space and assigning the majority class:
- validate whether ZIP codes naturally cluster into distinct health/fitness profiles, and
- Compare classification performance to regression-based predictor rankings.
3.4.3. Train–Validation–Test Split
4. Data Analysis and Correlations
5. Regression Modeling Results
- Training set: 16% of all observations
- Validation set: 4% of all observations
- Test set: 80% of all observations
- Land use and services: Mix Factor, Retail Trade, Education Facilities, Accommodation and Food Services, Arts/Entertainment/Recreation, Finance/Professional Services
- Housing and demographics: Occupied Housing Units, Number of Businesses, Diversity of Race, Population Aged 75+, Median Age, Population Density
- Socioeconomic indicators: Income per Household, Gini Coefficient Estimate
- (1)
- Multiple Linear Regression
- RMSE: 0.0405
- MAE: 0.0317
- R2: 0.60
- (2)
- LASSO Regression
- RMSE: 0.0431
- MAE: 0.0342
- R2: 0.57
- Mean cross-validated R2: 0.53
- (3)
- Decision Tree Regression
- RMSE: 0.0528
- MAE: 0.0447
- R2: 0.42
- Cross-validated R2: 0.39
- (4)
- K-Nearest Neighbor (KNN) Classifier
- Overall classification accuracy: 74%
- Macro-averaged precision: 0.71
- Macro-averaged recall: 0.70
- Macro-averaged F1-score: 0.69
6. Discussion
7. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
| VMT | Vehicle Miles Traveled |
| HFI | Health and Fitness Index |
| Lasso | Least Absolute Shrinkage and Selection Operator |
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| Model | All Zip Codes | Metropolis Hybrid 1 | Metropolis Hybrid 2 | Metropolis Hybrid 3 | Metropolis Hybrid 4 |
|---|---|---|---|---|---|
| Zip codes | 28758 | 15828 | 15828 | 14063 | 9563 |
| Model formulation: | Metropolis Hybrid 1 is a statistical model developed to examine how urban facility types, demographic characteristics, and elements of the urban fabric influence the dependent variable within U.S. metropolitan ZIP codes. This model specifically includes Walk Score, allowing the analysis to capture the effect of pedestrian accessibility and walkability on the outcome. | Metropolis Hybrid 2 is constructed using the same metropolitan ZIP-code sample as Hybrid 1, but includes Water Area as a predictor variable. This modification allows the model to capture the influence of proximity to water bodies—a key geographical and urban-development factor in many U.S. metropolitan regions. | Metropolis Hybrid 3 refines the dataset by excluding ZIP codes that contain water areas and by excluding Walk Score, while including total carbon emissions (tCO2e/yr). This model is designed to specifically examine urban ZIP codes where water is not a confounding factor, allowing the analysis to focus on environmental performance and built-environment structure. | Metropolis Hybrid 4 is the most selective model, using a reduced dataset focused solely on metropolitan ZIP codes that contain complete socioeconomic, demographic, and built-form data without missing entries. It excludes Walk Score, Water Area, and Carbon Emissions, allowing the model to focus strictly on structural and socioeconomic predictors. | |
| Purpose of the model | This formulation isolates the effect of walkability while holding other structural and socioeconomic variables constant. It tests whether pedestrian-friendly environments significantly affect the dependent variable in metropolitan areas. | This model tests whether ZIP codes that include or border water areas exhibit different behavioral patterns in the dependent variable. Water proximity often affects land values, land-use diversity, housing patterns, and environmental amenities. Hybrid 2 quantifies that relationship. | By removing ZIP codes with water area and walkability scores, this formulation isolates the relationship between carbon emissions, built form, and socioeconomic characteristics. It helps determine whether low-emission ZIP codes exhibit distinct structural or demographic profiles independent of geographical water features. | Hybrid 4 aims to produce a pure metropolitan structural–socioeconomic model, free from external environmental or geographical modifiers. It provides a baseline urban-form model for metropolitan ZIP codes, enabling direct comparison with earlier models to understand how excluding environmental and walkability variables changes the explanatory power (Adjusted R2 = 0.842). |
| Variables | Definition | Data Source |
|---|---|---|
| Health and Fitness Index | Index integrates three key components: normalized walkability scores, the availability of health facilities, and normalized total carbon emissions. | |
| Number of businesses | Total number of businesses in each zip code | US-Census |
| 75 years and over | Population of people 75 years and over in each zip code | US-Census |
| Walkscore | Walk Score is a standardized walkability index that measures how accessible essential daily services are by foot. The score is generated through an algorithm that calculates proximity to multiple categories of amenities (including grocery stores, schools, restaurants, parks, and retail) using a distance-decay function that awards maximum points for amenities within 400 m and zero points beyond 1.6 km. The algorithm also incorporates the diversity of accessible amenities and the pedestrian-friendliness of the street network, including intersection density, block length, and population density. The final score is normalized on a 0–100 scale, where higher scores indicate more walkable environments. | (https://www.walkscore.com/professional/research.php) (accessed on 29 October 2025). |
| Health facilities | Number of health facilities in each zip code | US-Census |
| Total (tCO2e/yr) | Carbon emission in each zip code | US-Census |
| Population density | Number of people per square mile in each zip code | US-Census |
| Median age | Median age in each zip code | US-Census |
| Diversity of race | Represent a probability that if two people are selected at random, they will have the same race | |
| % Occupied housing units | Percentage of occupied housing units to total housing units in each zip code | US-Census |
| Income per household | Income per household in each zip code | US-Census |
| Education | Number of education facilities in each zip code | US-Census |
| Accommodation and food services | Number of accommodations and food services in each zip code | US-Census |
| Arts, entertainment, and recreation | Number of arts, entertainment, and recreation facilities in each zip code | US-Census |
| Mix Factor | Index of proportion of jobs to population and diversity of employment types | US-Census |
| Dependent Variable | All zip codes | Metropolis Hybrid 1 | Metropolis Hybrid 2 | Metropolis Hybrid 3 | Metropolis Hybrid 4 |
|---|---|---|---|---|---|
| Regression Statistics | |||||
| (Constant) | 0.0 | 0.0 | 0.0 | −100.85 | −107.424 |
| Type of facilities | |||||
| Education | 7.45 | 7.76 | 7.49 | 7.336 | 7.157 |
| Accommodation and food services | 4.45 | 4.68 | 4.76 | 4.752 | 4.907 |
| Health | 2.07 | 2.16 | 2.11 | 2.087 | 2.168 |
| Arts, entertainment, and recreation | 3.46 | 3.34 | 3.19 | 3.196 | 3.006 |
| Social and Economic | |||||
| Population density | −0.003 | −0.004 | |||
| Total housing units | 0.01 | 0.01 | 0.01 | 0.006 | 0.005 |
| % Occupied housing units | 55.833 | 62.917 | |||
| Median age | −0.58 | −0.60 | −0.44 | 0.675 | 1.231 |
| Diversity of race | −33.27 | −50.63 | −51.09 | −67.675 | −87.406 |
| Income per household | 0.001 | 0.001 | |||
| Health | |||||
| 75 years and over | −0.05 | −0.06 | −0.05 | −0.060 | −0.054 |
| Total (tCO2e/yr) | 0.98 | 1.19 | 0.10 | ||
| Urban Fabric | |||||
| Mix factor | 0.26 | 0.24 | 0.23 | 0.218 | 0.168 |
| Street factor | −0.22 | −0.18 | −0.07 | 0.150 | 0.148 |
| Mixed land use | 34.77 | 45.15 | 46.64 | 45.445 | 53.813 |
| Water Area | −0.05 | −0.09 | |||
| Walk score | 0.19 | 0.07 | |||
| Adjusted R Square | 0.92 | 0.92 | 0.93 | 0.871 | 0.842 |
| Observations | 28,758 | 15,828 | 15,828 | 14,063 | 9563 |
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Zagow, M.; Darwish, A.M.; Shokry, S. Modeling Health-Supportive Urban Environments: The Role of Mixed Land Use, Socioeconomic Factors, and Walkability in U.S. ZIP Codes. Sustainability 2025, 17, 10873. https://doi.org/10.3390/su172310873
Zagow M, Darwish AM, Shokry S. Modeling Health-Supportive Urban Environments: The Role of Mixed Land Use, Socioeconomic Factors, and Walkability in U.S. ZIP Codes. Sustainability. 2025; 17(23):10873. https://doi.org/10.3390/su172310873
Chicago/Turabian StyleZagow, Maged, Ahmed Mahmoud Darwish, and Sherif Shokry. 2025. "Modeling Health-Supportive Urban Environments: The Role of Mixed Land Use, Socioeconomic Factors, and Walkability in U.S. ZIP Codes" Sustainability 17, no. 23: 10873. https://doi.org/10.3390/su172310873
APA StyleZagow, M., Darwish, A. M., & Shokry, S. (2025). Modeling Health-Supportive Urban Environments: The Role of Mixed Land Use, Socioeconomic Factors, and Walkability in U.S. ZIP Codes. Sustainability, 17(23), 10873. https://doi.org/10.3390/su172310873

