Delphi-1.0 Actuarial Science

Defensible Catastrophe Modeling Methodology

Delphi-1.0 replaces backward-looking static catastrophe tables with high-resolution satellite telemetry, multi-frequency physics, and Tweedie-Poisson severity distributions.

Empirical Telemetry & Feature Architecture

NASA FIRMS & VIIRS Thermal Telemetry

375m active fire detection bands calibrated against historical CAL FIRE burn perimeters from 2000–2026. Provides live spatial proximity scoring to active incident fronts.

ECMWF ERA5 Climate & Fuel Moisture Reanalysis

Hourly reanalysis of surface temperature, relative humidity, and 10m wind gust vectors transformed into 100-hour and 1000-hour dead fuel moisture (FMC) curves.

USGS 3DEP High-Resolution LiDAR Topography

Digital elevation models resolving slope gradients, slope aspect (sun exposure), and topographic channelling effects that accelerate convective flame front velocities.

CDI Safer from Wildfires Structural Attributes

Granular parcel-level building characteristics including roof construction material, enclosed eaves, dual-paned windows, and 0–100ft defensible space clearances.

Actuarial Formulation

Compound Poisson-Tweedie Loss Estimation

Traditional linear models fail on heavy-tailed catastrophe risks with zero-inflated loss claims. Delphi-1.0 combines a Poisson occurrence rate λ(x) with a generalized Gamma severity distribution Γ(μ, σ) to calculate exact Expected Loss Cost (ELC):

Pure Premium = E[Loss] = P(Ignition | Features) × E[Burn Area | Topo, Fuel] × Damageability(Structure, TIV)

Calibrated across 26 years of historical out-of-sample commercial claims to minimize underwriting loss variance while maximizing policy capture in defensible brush buffer zones.