Sensitivity confidence bounds growing over time
Posted: Wed Sep 30, 2020 11:20 am
Question for Tom/Colleagues:
(Apologies as this is technically not a Vensim question but rather on the theoretical side and also admittedly a quite broad question.)
In visualising results of sensitivity tests, the range of the confidence bounds usually grows over time. This is also seen in the couple of examples in Vensim help. I was wondering if this is generally true and what would be the best way to justify this. Would it be correct to write something along the following lines:
"The fact that the confidence bounds grow over time has to do with the cumulative nature of stock variables, which results in the inertness of behaviour once simulation veers away from the baseline."
Am I right in attributing the widening over time (at least partially) to the existence of the stocks as the memory of the system?
The confidence bounds also tend to grow wider in periods of growth where reinforcing loops are dominant and tend to shrink where balancing loops are dominant. I feel this is natural but can't necessarily justify it theoretically/mathematically.
Would you happen to know of a good source to read and refer to on these questions?
Thanks in advance!
(Apologies as this is technically not a Vensim question but rather on the theoretical side and also admittedly a quite broad question.)
In visualising results of sensitivity tests, the range of the confidence bounds usually grows over time. This is also seen in the couple of examples in Vensim help. I was wondering if this is generally true and what would be the best way to justify this. Would it be correct to write something along the following lines:
"The fact that the confidence bounds grow over time has to do with the cumulative nature of stock variables, which results in the inertness of behaviour once simulation veers away from the baseline."
Am I right in attributing the widening over time (at least partially) to the existence of the stocks as the memory of the system?
The confidence bounds also tend to grow wider in periods of growth where reinforcing loops are dominant and tend to shrink where balancing loops are dominant. I feel this is natural but can't necessarily justify it theoretically/mathematically.
Would you happen to know of a good source to read and refer to on these questions?
Thanks in advance!