We tested the model in two experiments, one with parameter-value fitting, and a replication without further fitting.
While certain other conditions may lead to peak splitting in activator-inhibitor systems [22], [70], we have seen only occasional examples of intercalation of new peaks between preexisting ones with parameter change (e.g., second figure of File S3).
The simulation experiments verified the performance of our proposed system in two scenarios: one with invariant parameters and the other with time-varying parameters.
The results show that the St. Venant equations can adequately capture the dynamics of real channels, and naturally, the model with estimated parameters is more accurate than the one with physical parameters.
For all LRTs, the first model is simpler than the second one, with fewer parameters and poor fit to the data.
Due to the limited respondent material, we have attempted to construct a parsimonious model (i.e. one with few parameters) with a common set of category thresholds and a discrimination coefficient assumed to be equal to one.
The P value of the F-test selects which of the two models is better, the null hypothesis being that the simpler (i.e., the one with lower parameters) model is better.
For all LRTs, the first model is a simplified version of the second one, with fewer parameters, and is thus expected to provide a poorer fit to the data (lower maximum likelihood).
The multipath fading in this case is equivalent of Nakagami fading channel (one path) with parameter mL (6 and 4.5, respectively).
Given that θ= is the set of true parameters of the model, if the exclusion restriction is not strong, another maximum very close to the true one exists with parameter values θ ~ ≃.
