Planning Resilient Cities: A Methodological Framework for the Integration of Nature-Based Solutions
Abstract
1. Introduction
2. Materials and Methods
2.1. Priority Index
- Land use. Depending on the type of land use, integrating NbS may be more urgent to improve environmental quality and regenerate the urban space.
- Population density. The higher the population density in an area, the more urgent it is to implement an NbS to prevent economic losses and protect human lives.
- Runoff accumulation risk. The greater the risk at a given point, the more urgent it is to integrate an NbS to mitigate potential flooding impacts.
- Land use. Parking areas were considered more vulnerable, assigned a weight of 0.5, due to the presence of oil and fuel, increasing rainwater contamination. Building roofs were assigned a relative weight of 0.1 because, despite being impermeable, their rainfall is rapidly drained through designed systems and slopes, contributing minimally to surface water accumulation. This reflects their secondary role in urban runoff dynamics compared with surfaces like sidewalks or parking lots.
- Population density. A weight of 0.6 was assigned to high-density areas, 0.3 to medium-density areas, and 0.1 to low-density areas.
- Runoff accumulation risk. Weights were defined based on the existing risk level. To calculate this risk, a specific procedure was followed, quantifying the risk of runoff accumulation using Rodrigues de Aguiar’s formula [38]. This approach was chosen because the study scale did not allow for city-wide hydrological modeling capable of quantifying flood risk while simultaneously considering urban surface runoff generation and the functioning of the sanitation network. As previously noted, this research was developed as a pilot study in the city of Granada. Therefore, the data used to calculate the flood risk are specific to this city (other values can be considered in other studies). The applied formula and its variables were as follows:R = runoff accumulation risk (dimensionless). MDE = (m) maximum elevation difference in the study area, normalized between 0 and 1 using a linear function. Value 1 corresponds to the maximum elevation in Spain (city of Vigo, 700 m). The MDE is obtained as the difference between the maximum and minimum elevation (z(i,j)) values within a defined analysis window (W(x,y)), representing local topographic relief. It is then normalized by a reference elevation range (MDE ref = 700 m for national comparison or the maximum value within the study area) (Equations (2) and (3)). MDE has a spatial resolution of 5 m. The urban area lies roughly between 580 m and 830 m above sea level, with an average elevation of around 738 m.R = 0.09 × MDE + 0.18 × Slope + 0.20 × Land Use + 0.53 × PrecipitationMDE(x,y) = max_{(i,j) ∈ W(x,y)} z(i,j) − min_{(i,j) ∈ W(x,y)} z(i,j)Slope = (%) normalized between 0 and 1 using a linear function. Value 1 corresponds to horizontal slope; value 0 corresponds to a 45° slope (higher values are set to 0). Land use = impermeability value between 0 and 1 (dimensionless), obtained through a linear function. Precipitation* = (mm) normalized between 0 and 1 using a linear function. Value 1 corresponds to the maximum average annual precipitation in Spain (2000 mm). Precipitation is uniform in the case study, meaning its effect is equivalent to an additive offset. Therefore, it does not drive spatial differences in runoff accumulation risk within the city.MDE_norm(x,y) = MDE(x,y)/MDE_ref
2.2. Opportunity Index
- Land use. Depending on the type of land use, the ease of implementing an NbS will vary. Less ‘urbanized’ uses are considered more suitable for intervention.
- Urban development. The ease of implementing an NbS also depends on the level of urban development. Non-consolidated areas are expected to be the locations where the integration of such solutions is most straightforward.
- Green spaces are naturally the easiest locations for NbS implementation and were, therefore, assigned the highest weight, 0.4. Larger areas, such as public squares and parking lots, were assigned an intermediate weight of 0.2. Pavements, due to their limited size, and building rooftops, due to structural constraints, were assigned the lowest weight, 0.1, reflecting the greater difficulty of intervention.
- ‘Non-developable’ areas are non-built urban areas where construction is not permitted. These zones remain open spaces and, therefore, offer the highest potential for the implementation of NbS. ‘Undeveloped urbanizable’ areas are non-built urban areas where construction is permitted but has not yet occurred. NbS could be integrated within future sustainable urban development projects in these areas. ‘Urban’ areas are built-up urban areas where the implementation of NbS is more limited due to existing infrastructure and space constraints.
- Non-developable areas were assigned the highest weight, 0.6, as these are undeveloped spaces of sufficient size for intervention. Undeveloped urbanizable land was assigned an intermediate weight of 0.3, allowing NbS integration during the planning phase. Finally, consolidated urban land was assigned the lowest weight, 0.1, as NbS integration in these areas requires urban renewal projects.
2.3. Feasibility Index
- Pavements. Minimum width of 4 m required to implement an NbS.
- Urban areas (parking lots, squares, green spaces). Minimum surface area of 100 m2 required and 1000 m2 recommended for NbS implementation.
- Buildings. According to CIRIA [15], a maximum roof slope of 10° is required for the implementation of green roofs.
3. Results
4. Conclusions
5. Research Limitations and Future Research Directions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Variable | Relative Weight (0–1) | Value | Relative Weight (0–1) |
|---|---|---|---|
| Runoff accumulation risk | 0.6 | Very high (0.5–0.6) | 0.48 |
| High (0.4–0.5) | 0.25 | ||
| Medium (0.3–0.4) | 0.15 | ||
| Low (0.2–0.3) | 0.08 | ||
| Very low (0.1–0.2) | 0.04 | ||
| Land use | 0.3 | Sidewalks | 0.20 |
| Parking lots | 0.50 | ||
| Public squares | 0.10 | ||
| Green spaces | 0.00 | ||
| Undeveloped areas | 0.10 | ||
| Building roofs | 0.10 | ||
| Population density | 0.1 | High (350–750 inh./m2) | 0.60 |
| Medium (150–350 inh./m2) | 0.30 | ||
| Low (0–150 inh./m2) | 0.10 |
| Variable | Round 1: Average Expert Weight | Round 2: Average Expert Weight | Final Relative Weight (0–1) | Justification/Remarks |
|---|---|---|---|---|
| Runoff accumulation risk | 0.58 | 0.62 | 0.6 | The runoff accumulation risk was assigned the highest weight due to its fundamental importance in urban flood control and water management. Experts emphasized that effective management of runoff is crucial for the successful implementation of Nature-based Solutions (NbS), as it directly impacts flood risk mitigation and infrastructure resilience. |
| Land use | 0.32 | 0.28 | 0.3 | Land use was given a moderate weight, reflecting its influence on the spatial feasibility of NbS integration. The variable accounts for existing urban infrastructure and land availability constraints, which are key considerations for planners and sanitation managers when prioritizing areas for intervention. |
| Population density | 0.09 | 0.11 | 0.1 | Population density received a lower weight compared to the other variables; it remains relevant for identifying locations where NbS can provide the greatest social benefits. Higher population densities often correspond to areas where improvements in urban resilience and community wellbeing are most needed. |
| Variable | Relative Weight (0–1) | Value | Relative Weight (0–1) |
|---|---|---|---|
| Land use | 0.8 | Sidewalks | 0.10 |
| Parking lots | 0.20 | ||
| Public squares | 0.20 | ||
| Green spaces | 0.40 | ||
| Building roofs | 0.10 | ||
| Urban Development | 0.2 | Non-developable | 0.60 |
| Undeveloped urbanizable | 0.30 | ||
| Urban | 0.10 |
| Priority Index | Area (m2) | % of Total Area |
|---|---|---|
| Very Low (0.00–0.05) | 6,106,813.57 | 21.11 |
| Low (0.05-0.10) | 11,297,399.23 | 39.06 |
| Medium (0.10-0.15) | 9,588,930.18 | 33.15 |
| High (0.15-0.20) | 1,790,350.03 | 6.19 |
| Very High (0.20-0.30) | 983,417.19 | 0.49 |
| TOTAL | 29,766,910.20 | 100.00 |
| Opportunity Index | Area (m2) | % of Total Area |
|---|---|---|
| Very Low (0.00–0.20) | 20,787,926.54 | 69.83 |
| Low (0.20–0.40) | 1,877,686.60 | 6.31 |
| Medium (0.40–0.60) | 2,594,612.65 | 8.72 |
| High (0.60–0.80) | 4,487,619.67 | 15.08 |
| Very High (0.80–1.00) | 19,064.75 | 0.06 |
| TOTAL | 29,766,910.21 | 100.00 |
| Land Use | Area (m2) | % of Total Area |
|---|---|---|
| Pavements ≥ 4 m | 273,888.19 | 0.92 |
| Surface parking areas 100–1000 m2 | 28,587.64 | 0.1 |
| Surface parking areas ≥ 1000 m2 | 257,844.44 | 0.87 |
| Public squares 100–1000 m2 | 51,754.77 | 0.17 |
| Public squares ≥ 1000 m2 | 179,872.74 | 0.60 |
| Green spaces 100–1000 m2 | 33,120.53 | 0.11 |
| Green spaces ≥ 1000 m2 | 1,985,502.65 | 6.67 |
| Undeveloped areas 100–1000 m2 | 93,680.29 | 0.32 |
| Undeveloped areas ≥ 1000 m2 | 5,202,495.30 | 17.48 |
| Building rooftops roof slope ≤ 10° | 1,615,160.46 | 5.43 |
| TOTAL | 9,722,187.11 | 32.66 |
| NbS Typology | Suitable Area (m2) | % of Total Area |
|---|---|---|
| Permeable pavements | 8,107,026.65 | 27.24 |
| Rain gardens | 8,107,026.65 | 27.24 |
| Infiltration trenches and filter drains | 8,055,271.88 | 27.06 |
| Retention and infiltration areas | 7,625,715.13 | 25.62 |
| Green roofs | 1,615,160.46 | 5.43 |
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Rodríguez-Rojas, M.I.; Moreno Escobar, B.; Martínez Montes, G.; Garmendia Antín, M. Planning Resilient Cities: A Methodological Framework for the Integration of Nature-Based Solutions. Appl. Sci. 2025, 15, 12378. https://doi.org/10.3390/app152312378
Rodríguez-Rojas MI, Moreno Escobar B, Martínez Montes G, Garmendia Antín M. Planning Resilient Cities: A Methodological Framework for the Integration of Nature-Based Solutions. Applied Sciences. 2025; 15(23):12378. https://doi.org/10.3390/app152312378
Chicago/Turabian StyleRodríguez-Rojas, María I., Begoña Moreno Escobar, Germán Martínez Montes, and Maddi Garmendia Antín. 2025. "Planning Resilient Cities: A Methodological Framework for the Integration of Nature-Based Solutions" Applied Sciences 15, no. 23: 12378. https://doi.org/10.3390/app152312378
APA StyleRodríguez-Rojas, M. I., Moreno Escobar, B., Martínez Montes, G., & Garmendia Antín, M. (2025). Planning Resilient Cities: A Methodological Framework for the Integration of Nature-Based Solutions. Applied Sciences, 15(23), 12378. https://doi.org/10.3390/app152312378

