This study is part of the development of the Multi-Dimensional Environmental Matrix (MDEM) for Calgary—a system of geospatial data processing algorithms designed for the in-depth analysis of urban environments and ecological sustainability.
Why Does It Matter?
The Urban Heat Island (UHI) effect is more than just a matter of personal comfort, escalating cooling costs, or declining solar photovoltaic (PV) efficiency. From an environmental geochemistry perspective, the overheating of urban surfaces triggers a cascade of invisible yet destructive processes:
- Photochemical Smog: High temperatures catalyze reactions between vehicle exhaust and volatile organic compounds (VOCs), leading to the formation of ground-level ozone (O₃) and formaldehyde (CH₂O)—toxic oxidants that impact respiratory health and vegetation.
- Alteration of the Nitrogen Cycle: On overheated lawns, the decomposition of fertilizers accelerates, leading to reduced nutrient efficiency and excessive ammonia (NH₃) emissions into the urban atmosphere.
- Material Outgassing: According to the laws of thermodynamics, the heating of asphalt, polymers, and coatings increases vapor pressure, “forcing out” volatile compounds even from aging construction materials.
- Impact on Aquatic Ecosystems: Scouring storm runoff from scalding road surfaces causes thermal shock and oxygen depletion in local ponds and rivers, which is critical for fish. Furthermore, rising water temperatures alter the chemical speciation and mobility of various elements.
Methodology and Data
The research is based on data from the Landsat 8/9 (USGS) and Sentinel-2 (ESA) missions collected between June and August 2025. The primary dataset comprises over 242 million individual measurements which, through geometric clipping, quality validation, and temporal averaging, were refined into two synchronized datasets (LST and NDVI) consisting of 950,802 pixels each.
To classify thermal zones, Tukey’s Fences method was applied. This approach allows for a statistically sound separation of typical “background” values from extreme thermal anomalies (outliers), eliminating subjective “by-eye” classification.
Calgary’s Thermal Load Scale:
- Urban Cool Island: ≤23.06°C (pronounced cold zones).
- Cool Background: 23.06°C−30.78°C (comfortable background).
- Typical Core: 30.78°C−35.93°C (urban norm, representing 50% of the city area).
- Warm Background: 35.93°C−43.66°C (heated background).
- Moderate Surface Urban Heat Anomaly (SUHA): 43.66°C−51.38°C (moderate anomaly).
- Extreme Surface Urban Heat Anomaly : 51.38°C (extreme overheating).

Thermal Anomaly Map
The analysis reveals a clear differentiation: the western part of the city is predictably cooler than the east. Extreme overheating zones are localized within industrial and business districts, while river valleys and large forested areas (such as Fish Creek Park or Nose Hill) form the “cool island” framework.


For local residents, a ranking of established residential communities by average summer surface temperature has been prepared.
| Community | LST 2025 |
|---|---|
| MARLBOROUGH | 37.81 |
| RUNDLE | 37.6 |
| PENBROOKE MEADOWS | 37.55 |
| MANCHESTER | 37.45 |
| FOREST LAWN | 37.37 |
| MARTINDALE | 37.29 |
| CASTLERIDGE | 37.22 |
| TEMPLE | 37.19 |
| PINERIDGE | 37.14 |
| MARLBOROUGH PARK | 37.13 |
| WHITEHORN | 37.01 |
| GREENVIEW | 36.84 |
| FALCONRIDGE | 36.73 |
| NORTH HAVEN | 36.64 |
| MEADOWLARK PARK | 36.6 |
| TUXEDO PARK | 36.57 |
| FOREST HEIGHTS | 36.51 |
| NORTH HAVEN UPPER | 36.47 |
| SETON | 36.43 |
| TARADALE | 36.43 |
| BRENTWOOD | 36.35 |
| ERIN WOODS | 36.35 |
| APPLEWOOD PARK | 36.29 |
| MILLRISE | 36.26 |
| NEW BRIGHTON | 36.25 |
| KILLARNEY/GLENGARRY | 36.2 |
| HUNTINGTON HILLS | 36.19 |
| BEDDINGTON HEIGHTS | 36.15 |
| WALDEN | 36.12 |
| GARRISON WOODS | 36.1 |
| ROSSCARROCK | 36.1 |
| REDSTONE | 36.09 |
| SHAWNESSY | 36.03 |
| MAHOGANY | 35.98 |
| HARVEST HILLS | 35.95 |
| AUBURN BAY | 35.89 |
| BANFF TRAIL | 35.87 |
| ABBEYDALE | 35.79 |
| COVENTRY HILLS | 35.78 |
| COUNTRY HILLS VILLAGE | 35.77 |
| THORNCLIFFE | 35.73 |
| MCKENZIE TOWNE | 35.72 |
| MOUNT PLEASANT | 35.72 |
| HOUNSFIELD HEIGHTS/BRIAR HILL | 35.7 |
| CAPITOL HILL | 35.68 |
| GLENBROOK | 35.66 |
| EVERGREEN | 35.6 |
| LOWER MOUNT ROYAL | 35.59 |
| SKYVIEW RANCH | 35.58 |
| MAYLAND HEIGHTS | 35.56 |
| HIGHWOOD | 35.55 |
| MONTEREY PARK | 35.55 |
| RED CARPET | 35.54 |
| ST. ANDREWS HEIGHTS | 35.53 |
| QUEENSLAND | 35.47 |
| SOUTHWOOD | 35.46 |
| SOUTH CALGARY | 35.43 |
| BELTLINE | 35.39 |
| SADDLE RIDGE | 35.36 |
| UNIVERSITY OF CALGARY | 35.34 |
| HILLHURST | 35.31 |
| SOMERSET | 35.3 |
| BONAVISTA DOWNS | 35.27 |
| CAMBRIAN HEIGHTS | 35.23 |
| WEST HILLHURST | 35.23 |
| DEER RIDGE | 35.21 |
| CRESCENT HEIGHTS | 35.15 |
| HIGHLAND PARK | 35.14 |
| RUTLAND PARK | 35.13 |
| ALBERT PARK/RADISSON HEIGHTS | 35.1 |
| KINGSLAND | 35.1 |
| SUNALTA | 35.1 |
| UNIVERSITY DISTRICT | 35 |
| CORAL SPRINGS | 34.98 |
| ACADIA | 34.94 |
| RICHMOND | 34.94 |
| SIGNAL HILL | 34.94 |
| EVANSTON | 34.92 |
| SUNDANCE | 34.91 |
| PANORAMA HILLS | 34.87 |
| CANYON MEADOWS | 34.85 |
| BRIDLEWOOD | 34.84 |
| FAIRVIEW | 34.84 |
| MIDNAPORE | 34.84 |
| LAKE BONAVISTA | 34.82 |
| CITADEL | 34.81 |
| SANDSTONE VALLEY | 34.8 |
| UNIVERSITY HEIGHTS | 34.78 |
| LINCOLN PARK | 34.76 |
| CHRISTIE PARK | 34.68 |
| ARBOUR LAKE | 34.61 |
| ALTADORE | 34.6 |
| RANCHLANDS | 34.6 |
| ROSEDALE | 34.59 |
| CHARLESWOOD | 34.54 |
| GLAMORGAN | 34.54 |
| BANKVIEW | 34.48 |
| RENFREW | 34.46 |
| PARKLAND | 34.45 |
| MACEWAN GLEN | 34.4 |
| VISTA HEIGHTS | 34.39 |
| MISSION | 34.37 |
| WESTGATE | 34.37 |
| CHAPARRAL | 34.36 |
| SHAWNEE SLOPES | 34.33 |
| CLIFF BUNGALOW | 34.29 |
| WILLOW PARK | 34.29 |
| NOLAN HILL | 34.26 |
| ROSEMONT | 34.25 |
| NORTH GLENMORE PARK | 34.24 |
| RAMSAY | 34.2 |
| HAYSBORO | 34.17 |
| DOVER | 34.15 |
| BRAESIDE | 34.14 |
| DEER RUN | 34.14 |
| DOWNTOWN WEST END | 34.14 |
| CEDARBRAE | 34.13 |
| PARKDALE | 34.08 |
| KELVIN GROVE | 34.03 |
| SCARBORO | 33.97 |
| SHERWOOD | 33.95 |
| COACH HILL | 33.94 |
| RIVERBEND | 33.91 |
| STRATHCONA PARK | 33.89 |
| DALHOUSIE | 33.86 |
| GLENDALE | 33.85 |
| PALLISER | 33.84 |
| OGDEN | 33.77 |
| WOODBINE | 33.77 |
| RANGEVIEW | 33.75 |
| KINCORA | 33.73 |
| SCARBORO/SUNALTA WEST | 33.7 |
| COLLINGWOOD | 33.66 |
| CHINOOK PARK | 33.64 |
| HAWKWOOD | 33.6 |
| ELBOYA | 33.53 |
| HIDDEN VALLEY | 33.5 |
| VARSITY | 33.46 |
| TUSCANY | 33.42 |
| COUNTRY HILLS | 33.38 |
| DOWNTOWN EAST VILLAGE | 33.32 |
| DOWNTOWN COMMERCIAL CORE | 33.31 |
| ROYAL OAK | 33.25 |
| DOUGLASDALE/GLEN | 33.2 |
| PARKHILL | 33.18 |
| ROCKY RIDGE | 33.18 |
| WOODLANDS | 33.18 |
| LAKEVIEW | 33.17 |
| MONTGOMERY | 33.14 |
| SCENIC ACRES | 33.13 |
| MCKENZIE LAKE | 33.1 |
| EDGEMONT | 33.09 |
| SILVER SPRINGS | 33.06 |
| MAPLE RIDGE | 32.99 |
| BOWNESS | 32.97 |
| SOUTHVIEW | 32.88 |
| GREENWOOD/GREENBRIAR | 32.82 |
| DIAMOND COVE | 32.77 |
| MAYFAIR | 32.73 |
| BRITANNIA | 32.66 |
| OAKRIDGE | 32.64 |
| EAGLE RIDGE | 32.56 |
| PATTERSON | 32.49 |
| WINDSOR PARK | 32.47 |
| SPRUCE CLIFF | 32.45 |
| COUGAR RIDGE | 32.37 |
| WINSTON HEIGHTS/MOUNTVIEW | 32.32 |
| SUNNYSIDE | 32.31 |
| HUXLEY | 32.1 |
| CORNERSTONE | 32.07 |
| BEL-AIRE | 32.04 |
| ERLTON | 31.95 |
| HAMPTONS | 31.94 |
| PUMP HILL | 31.9 |
| BRIDGELAND/RIVERSIDE | 31.86 |
| QUEENS PARK VILLAGE | 31.79 |
| BAYVIEW | 31.66 |
| SYMONS VALLEY RANCH | 31.56 |
| UPPER MOUNT ROYAL | 31.56 |
| SHAGANAPPI | 31.45 |
| ELBOW PARK | 31.26 |
| INGLEWOOD | 31.25 |
| CHINATOWN | 31.22 |
| POINT MCKAY | 30.78 |
| WILDWOOD | 30.66 |
| VALLEY RIDGE | 30.44 |
| CRESTMONT | 30.36 |
| MEDICINE HILL | 29.82 |
| EAU CLAIRE | 29.74 |
| RIDEAU PARK | 29.73 |
| DISCOVERY RIDGE | 29.56 |
| ROXBORO | 29.51 |
| OSPREY HILL | 28.85 |
Spatial Synthesis: Where Heat Meets Green
To provide a comprehensive visualization of the interplay between urban heat and biomass, a bivariate choropleth map was developed. Unlike standard maps displaying a single metric, this method utilizes a two-dimensional color scale to simultaneously analyze LST (Y-axis) and NDVI (X-axis).

Map Interpretation:
- Bright Magenta Zones (Top Left): Thermal Stress Zones. These are areas with high temperature and low vegetation density. The map clearly localizes them within the NE and SE industrial hubs, along major transportation corridors, and in treeless residential developments. These zones correspond to the functional “thermal inertia regime” identified in the regression analysis.
- Bright Green Zones (Bottom Right): Thermal Stability Zones. Areas with low temperature and high vegetation density. These are Calgary’s “green lungs”: the Bow and Elbow river valleys, Fish Creek Park, Nose Hill. They serve as benchmarks for climatic comfort.
- Dull/Muddy Zones (Center Left): Areas where both temperature and vegetation are at moderate levels.
This cartogram serves as a key diagnostic tool within the MDEM Framework. It does more than just show the problem of overheating; it instantly identifies territories where vegetation deficit is a direct driver of extreme temperatures. This ensures that the selection of sites for targeted greening (the ROI strategy) is maximally accurate and evidence-based.
Vegetation Efficiency: The Mathematical Threshold
While the link between vegetation (NDVI) and land surface temperature (LST) is well-known, this study mathematically identifies the “trigger point” for natural cooling.
Using segmented regression (structural break analysis), I observed that the relationship is non-linear. Several “break-points” are evident in the data, the most significant being NDVI = 0.34.
- Below the 0.34 Threshold: Vegetation is too sparse to significantly impact the thermal balance; surfaces continue to heat up similarly to bare concrete.
- Above the 0.34 Threshold: A sharp regime shift occurs. Cooling efficiency (the slope of the curve) increases by a factor of 4.5. This shift is attributed to reaching a critical biomass mass required for active evapotranspiration and effective shading.
- At NDVI 0.49: The effect intensifies further (by an additional 1.25 times). Overall, areas with an NDVI of 0.49 or higher cool 5.6 times more effectively than sparsely vegetated sites.
- Beyond the 0.76 Threshold: The final detected breakpoint marks the transition of the “vegetative cooling engine” into a steady-state regime. Past this point, the cooling rate significantly levels off, indicating diminishing returns. This represents a thermal saturation point where additional biomass (e.g., transitioning from a dense park to a thick forest) yields minimal further reduction in surface temperature.

These findings allow for the identification of “reference” areas in Calgary that can serve as natural benchmarks for planning future developments. Moreover, leveraging the non-linear nature of the LST-NDVI relationship enables high-precision site selection for urban greening. Since the “vegetative cooling engine” exhibits a threshold-dependent activation (identified at 0.34 for 2025 conditions), strategic intervention in areas currently near this tipping point offers the maximum Return on Investment (ROI). Targeting these “high-leverage” zones ensures the greatest thermal mitigation benefit for every unit of added green infrastructure.
Technical Appendix
- LST Data: Based on the USGS Surface Temperature (Level 2) product. Only pixels with N > 4 valid measurements per season were included in the calculations. Areas with zero valid pixels were identified at the Rocky Ridge YMCA roof (likely flagged as “snow” by the USGS cloud mask) and a specific commercial zone in NE Calgary (Sunridge Blvd/27 St NE).

- NDVI Data: Calculated using COPERNICUS/S2_SR_HARMONIZED (Sentinel-2) with Bottom of Atmosphere (BOA) atmospheric correction. Similar to LST, a threshold of > 4 valid observations was applied to calculate the median summer NDVI.
- Statistics: The non-linear relationship was modeled using Segmented Linear Regression with automatic iterative breakpoint detection (R package ‘segmented’). To maintain computational efficiency while ensuring representativeness, a pseudo-random sample of 40,000 pixel pairs was drawn from the full Calgary dataset.
The optimal number of breakpoints was determined by minimizing the Bayesian Information Criterion (BIC), ensuring a rigorous balance between model complexity and statistical goodness-of-fit.
The final model achieved an Adjusted R² of 0.39, with highly significant structural breaks identified. The narrow standard errors for the primary breakpoint (0.34±0.008) confirm the stability of the identified ecological threshold.

Disclaimer: This independent study is conducted for scientific and educational purposes (CC-BY 4.0). The maps and conclusions are based on remote sensing methods and do not constitute an official engineering opinion. Consult with a practicing Professional Member of APEGA before making design, construction, or public health decisions.
