Urban Health Index
—
UHI
—
LOADING…
UHI = w_T·T + w_P·P + w_E·E
+ w_M·M + w_I·I · Σwᵢ = 1.0
Accuracy ±4.2% · Forecast 24–48h
+ w_M·M + w_I·I · Σwᵢ = 1.0
Accuracy ±4.2% · Forecast 24–48h
Subsystem Scores — Real-Time
T_score (TFS)
—
V/C ≥ 0.70
P_score (PDS)
—
≥ 0.65 bound
E_score (ECS)
—
Supply margin
M_score (MBS)
—
≥ 0.35 modal
AI Layer Outputs — Dynamic Weight Calibration
I_score (ILS)
—
≥ 0.70 bound
Σwᵢ check
—
= 1.000 exact
Anomaly D_M
—
< 3σ threshold
GBM +48h UHI
—
AI forecast
Urban Grid — Subsystem Sensor Map
■ Normal density
■ Stressed zone
● Sensor node
AI Dynamic Weights — Σwᵢ = 1.000
w_T—
w_P—
w_E—
w_M—
w_I—
Five Independent Urban Subsystems — TFS · PDS · ECS · MBS · ILS
TFS
Transport Flow
Subsystem
Subsystem
—
V/C ratio
—
BPR T(v)
—
T₀ ratio
—
PDS
Population Density
Subsystem
Subsystem
—
Pop/km²
—
Δ opt
—
Census
Live
ECS
Energy Consumption
Subsystem
Subsystem
—
S-D margin
—
Peak load
—
Meters
Smart
MBS
Mobility Behavior
Subsystem
Subsystem
—
PT share
—
MNL util.
—
Model
Bayes
ILS
Infrastructure Load
Subsystem
Subsystem
—
Load/Limit
—
Geom.mean
—
Systems
k=6
UHI — 72-Hour History & 48-Hour AI Forecast
TFS + PDS + ECS + MBS + ILS composite · Dynamic AI weight calibration · Gradient boosting 15-min update
Subsystem Score Heatmap — D_scores(t)
Five subsystems × 15-min cycle · Mahalanobis anomaly detection · 24–48h early warning
Score>0.80
0.60–0.80
<0.60
GBM weights
48h AI Trajectory Forecast
Gradient boosting weight predictor · Mahalanobis anomaly · ±σ confidence band
T+0hT+12hT+24hT+36hT+48h
Governing Equations
CITYMIND v1.0.0 analytical core
Eq. 1 — Transport Flow (BPR)
T(v) = T₀·[1 + α·(V/C)^β]
T_score = 1 - V_demand/C_capacity
T_score = 1 - V_demand/C_capacity
Eq. 3 — Energy Supply-Demand Balance
E_score = (Supply_grid - Demand_urban) / Supply_grid
Eq. 6 — AI Dynamic Weight Calibration
w(t) = GBM[Score_vector, historical]
s.t. Σwᵢ = 1.0, wᵢ ≥ 0
s.t. Σwᵢ = 1.0, wᵢ ≥ 0
Eq. 7 — Urban Health Index
UHI = w_T·T + w_P·P + w_E·E + w_M·M + w_I·I
Safety Bounds & Governance Thresholds
CITY-INTEL-01 · v1.0.0 certification bounds
| Parameter | Current | Bound | Status |
|---|---|---|---|
| UHI | — | ≥ 0.85 | Optimized |
| T_score | — | ≥ 0.70 | OK |
| E_score | — | ≥ 0.60 | OK |
| M_score | — | ≥ 0.35 | OK |
| I_score | — | ≥ 0.70 | OK |
| Σwᵢ | — | = 1.000 | OK |
| D_Mahal. | — | < 3σ | Watch |
Validation v1.0.0 — Three Cities
UHI Accuracy±4.2%
TFS Accuracy±3.73%
ECS Accuracy±3.6%
Anomaly Det.91.6%