Distinguishing Abiotic from Biological Geological Patterns

Multi-proxy computational framework for biosignature discrimination. Fisher LDA on 10 morphometric and geochemical features from simulated abiotic (Gray-Scott, Liesegang) and biotic (chemotaxis, DLA) patterns.

Classification Performance

1.00
All Features Accuracy
1.00
Chemical Only
0.92
Morphological Only

Robustness Under Noise

0.96
Accuracy at 0% Noise
0.98
Accuracy at 10% Noise
0.96
Accuracy at 50% Noise

Feature Effect Sizes (Cohen's d)

Feature Importance (Discriminant Weights)

Feature Comparison: Abiotic vs Biotic

FeatureAbiotic (mean +/- std)Biotic (mean +/- std)|Cohen's d|p-value
Fractal Dimension1.48 +/- 0.091.48 +/- 0.150.040.886
Lacunarity1.57 +/- 0.562.01 +/- 0.490.840.006
Branching Angle Mean50.69 +/- 15.2678.84 +/- 12.442.027.3e-9
Branching Angle Std25.21 +/- 11.3512.42 +/- 3.711.523.4e-6
Symmetry Index0.87 +/- 0.220.50 +/- 0.201.781.5e-7
Spatial Autocorrelation0.48 +/- 0.010.44 +/- 0.060.810.007
Compactness0.83 +/- 0.280.52 +/- 0.341.000.001
delta-13C-4.60 +/- 3.01-22.09 +/- 5.783.801.6e-17
Fe/Mn Ratio2.37 +/- 0.780.88 +/- 0.272.551.2e-11