Figure 2 | Scientific Reports

Figure 2

From: Scale-invariant structure of size fluctuations in plants

Figure 2

Scaling structure of size fluctuations.

(a) Probability density of plant size, P(S), for all records. (b) Probability density of size fluctuation, P(z1), for all records; zΔk = ZΔk/σ, where σ is the standard deviation. Empty symbols are according to the legend in (a). The solid lines are symmetrical Lévy distributions, PL(z), with a scale factor of 0.4 and the following index values: α = 1.68 (AG 9010); α = 1.28 (P 30F87); α = 1.10 (AS 1570); and α = 1.57 (P 30K75). α was obtained by minimum squares fitting. Some curves are vertically shifted for better visualisation. (c) Superposition of P(zΔk) at distinct spatial scales, Δk, for the AS 1570 hybrid. The solid line is given by the Lévy distribution, PL(z), with a scale factor of 0.4 and an index of 1.23. (d) Index α of PL(z) obtained from fits to P(zΔk) for 1 < Δk < 1000. The average values of α, , were 1.71 (AG 9010), 1.62 (P 30K75), 1.35 (P 30F87) and 1.23 (AS 1570).

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