Table 2.

Growth model in the presence of control intervention ($0<r<1$): $P\left(t\right)={\left(\frac{\alpha }{n}t+c\right)}^n$, where $t=1,2,\dots ,30,c\sim N\left(1.1,0.01\right),$$r\sim N\left(r_0,0.03\right),r_0\in \left\{0.1,0.2,\dots ,0.9\right\},$$\alpha \sim N\left({\alpha }_0,0.03\right),$ and ${\alpha }_0\in \left\{0.1,0.2,0.3\right\}$.

Growth rate, ${\alpha }_0$	Deceleration of growth parameter, $r_0$	Number of Benford cases
0.1	0.1	752 (7.52%)
	0.2	2,455 (24.55%)
	0.3	4,541 (45.41%)
	0.4	6,472 (64.72%)
	0.5	7,873 (78.73%)
	0.6	8,514 (85.14%)
	0.7	9,015 (90.15%)
	0.8	9,105 (91.05%)
	0.9	9,281 (92.81%)
0.2	0.1	8,927 (89.27%)
	0.2	9,848 (98.48%)
	0.3	9,984 (99.84%)
	0.4	9,999 (99.99%)
	0.5	10,000 (100.00%)
	0.6	10,000 (100.00%)
	0.7	10,000 (100.00%)
	0.8	10,000 (100.00%)
	0.9	10,000 (100.00%)
0.3	0.1	9,997 (99.97%)
	0.2	10,000 (100.00%)
	0.3	10,000 (100.00%)
	0.4	10,000 (100.00%)
	0.5	10,000 (100.00%)
	0.6	10,000 (100.00%)
	0.7	10,000 (100.00%)
	0.8	10,000 (100.00%)
	0.9	10,000 (100.00%)