Figure 3

(A) Empirical distributions for avalanche size (S) with dotted line showing power law exponent T, and corresponding log likelihood ratio tests for power law versus lognormal distributions (right). Data points are coloured by fish. Avalanche schematic demonstrating the calculation of avalanche size s (top) for a single avalanche event, where coloured dots represent active neurons at t_x. (B) Same as in (A), for avalanche duration (T) with exponent α. (C) The scaling relationship between S and T is shown by plotting mean S against T and fitting a linear regression line to estimate the exponent γ (dotted line). The exponent relation (α-1)/(τ-1) is calculated using avalanche exponents for S and T. DCC is calculated as the absolute difference between γ and (α-1)/(τ-1). (D) DCCs plotted for each fish against each null model (dotted line = critical threshold of DCC < 0.2). (E) Branching ratio σ plotted for each fish against each null model (dotted line = critical value of σ~1). Avalanche schematic demonstrating calculation of σ (right). (F) The quantity r(d), which estimates pairwise neuronal correlation as a function of distance, follows an approximate power-law with exponent η (dotted-line). Schematic demonstrating estimation of correlation (r) as a function of distance (d) (right). Magenta neuron is the neuron of interest. Other neurons are coloured by their correlation r to magenta neuron. * = p<0.01