Parameter estimation results on synthetic data. Parameter estimation results for ten independent simulations of the same reaction-diffusion process with parameters k2 = 0.4, k1 = 0.0001 and d = 0.01. The three panels show the results for k1 (left), k2 (centre) and d (right). Notice the strong correlation between the parameters k2 and d, as well as the systematic underestimation of the error bars. Estimates of the parameter k1 (decay rate) are inaccurate, due to the difficulty in distinguishing the effects of decay from those of diffusion (see main text).