Scaling Diagnostics
This page summarizes the main analytical tools for testing whether wildfire growth exhibits reproducible scaling behavior.
Core diagnostics
- perimeter-time scaling
- area-time scaling
- perimeter-area scaling
- breakpoint detection
- cross-fire comparison of fitted exponents
- definition-scale sensitivity checks for alternative boundary constructions
- measurement-scale curves such as
L_d(ε)rather than only single-resolution summaries
What these diagnostics are trying to answer
- does a scaling interval exist?
- is the exponent stable across fires or environments?
- when does the scaling regime emerge and when does it break down?
- do modeled fires reproduce the same large-scale geometry as observed fires?
- how much of an apparent scaling result is produced by delineation choices or sensor resolution?
Why this matters
Scaling claims are easy to overstate. Diagnostics help keep the project grounded by making the hypothesis measurable and falsifiable, while also separating physical structure from artifacts introduced by boundary definition or observation scale.