Delphi-1.0 Actuarial Science · White Paper

Deterministic Physical Catastrophe Methodology

Delphi-1.0 replaces backward-looking static catastrophe tables with high-resolution satellite telemetry, multi-frequency physics, and zero-inflated Tweedie-Poisson severity distributions calibrated across 26 years of empirical loss data.

26 Years
Historical Calibration
Out-of-sample backtested commercial claims
4 Constellations
Satellite Telemetry
NASA VIIRS, MODIS, Sentinel-1 & 2
Tweedie (p=1.5)
Loss Distribution
Zero-inflated compound Poisson-gamma
< 45ms
Actuarial Inference
Sub-second deterministic rate output
Multi-Sensor Empirical Ingest

Empirical Telemetry & Feature Architecture

Multi-sensor fusion powers verifiable parcel-level rate indications with full audit provenance.

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 and historical burn scar perimeter overlap within a 5-mile radius.

ECMWF ERA5 Climate & Fuel Moisture

Hourly reanalysis of surface temperature, relative humidity, and 10m wind gust vectors transformed into 100-hour and 1000-hour dead fuel moisture (FMC) curves, flagging critical dryness anomalies before regional ignition outbreaks occur.

USGS 3DEP High-Resolution LiDAR

1-meter digital elevation models resolving micro-topography slope gradients, ridgeline exposure, and canyon channeling effects that accelerate flame front propagation up to 4x on steep upslope gradients.

California CDI § 2644.9 Structural Credits

Granular parcel-level building characteristics including Class A non-combustible roofing, enclosed eaves, dual-paned windows, and 0–100ft defensible space clearances computed directly into statutory loss rate deductions.

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) with power parameter p=1.5 to calculate exact Expected Loss Cost (ELC):

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

Calibrated across 26 years of historical out-of-sample commercial claims from 2000 to 2026 to minimize underwriting loss variance while maximizing policy capture in defensible brush buffer zones.

Explore The Complete Platform

Explore The Peril Engines In Depth

See how Delphi-1.0 physical models operate live across Wildfire, Inland Flood, and 5-Mile PML Solvency.

Questions & Answers

Methodology & Science FAQs

Telemetry frequency, historical calibration, and loss distribution physics.

Actuarial Science

Empirical Actuarial Science For Commercial Lines

Audit real-time satellite telemetry, compound Poisson severity curves, and CDI mitigation discounts in our interactive sandbox.

< 45ms LatencyCDI § 2644.9 CompliantNo Credit Card Required