A web search of ARSTAN software and EPS, lead me to this link ARSTAN_link which displays the output. From this and another discussion it appears ARSTAN is specialized software used to find relationships of environmental factors that might affect vegetation, growth or stress (tree rings) etc. This link ARSTAN_vs_R_dplr compares ARSTAN results to the R package dplr. It explains how they differ. The point is that both programs help organize the data from different sources to get trends so that relationships can be established.
It is likely that JMP can perform the analyses your need, but it will not be a turn-key application, unless someone has written a JMP application. Below, I have a script that might help, but will not be a perfect match. The environmental response data typically have multiple samples per time period or location. The example I have has just has one value per month, so the script creates a multiple sample per period year quarter, then uses a Gaussian (0.25) fit, saves the predicteds and residuals.
Since I am not an expert in this area, this is all I have. I hope it provides a direction to investigate. Note, if you have used dplr, you can use JMP to call up R routines.