Which property defines a morphogen gradient?
Morphogen gradient property that confers patterning capacity is ability to influence discrete cell fate decisions proportionally to local ligand concentration via threshold decoding. Unlike uniform growth factors causing graded proliferation, morphogens exhibit threshold responses where target enhancers possess different affinities for effectors, activating sequentially as concentration rises. This converts analog concentration into digital transcriptional outputs generating distinct spatial domains. Uniform diffusion alone insufficient; must couple to differential activation and cross-repression. Short-range restriction or apoptotic activation not defining. Therefore concentration-dependent fate specification constitutes core defining attribute of morphogen interpretation across embryos.
Ref: Gilbert, Developmental Biology, 12th ed., Chapter 4: Morphogen Gradient Threshold Interpretation.