turtle-own variable defined by a global distribution around a determined mean and a given scale

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I try to assign a turtle own variable "X" according to it's global distribution. Each turtle-own x should be a random seed between 0 and 20. BUT it must be dependent on the global distribution: The overall random distribution of X of all turtles, must depend on a determined and changeable mean.

I thought about achieving this with random-gamma but I have no idea how to stick to the scale.

Further, during the runs, the number of turtles increases due to offspring. each new turtle needs to get a value for the variable X. The mean and the scale should always stay the same which was determined in the setup. All living turtles should keep their X.

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