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Hi Maria,
The specification of input parameters is up to you as the user - LEAP does not have a built-in facility for assigning a distribution of inputs to each variable*.
Instead, the way you might approach this question using LEAP is to define an ensemble of scenarios, each of which contains a different input parameter, and observe the range of results for each different scenario. Still, each of the scenarios is fully deterministic and does not permit assignment of probabilities to different inputs, or the calculation of probability distributions for the outputs.
While LEAP does have some limited optimization capabilities, these do not extend to an optimal selection of a set of input parameters such as capital costs for power plants. LEAP instead allows you to conduct least-cost optimization for capacity expansion and capacity dispatch only, and for one transformation module at a time (and having specified fixed costs for technologies in that module). You may read about this here:
Thanks,
Emily and Taylor
* Though such a facility is not "built-in" to LEAP natively, repeated iteration through a range on inputs and subsequent recalculation can be achieved by using of LEAP's scripting API. Doing so will permit you to conduct a basic Monte Carlo analysis, where you may take repeated samples from a randomly distributed variable, plug them into LEAP, and record results (as well as the frequency distribution of results). Here are two more threads on that topic which you may find relevant: