Label Modifiers

A Label on a Resource Connection determines how many Resources may move through that Connection in a given time step.

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Label Modifiers connect an origin Node to a target Label (L) of a Resource Connection (or that of a State Connection) and indicate how State Changes in the origin Node (∆S) modify the current value of the target Label, at a current time step (Lt ) as indicated by the State Connection’s own label (M).

The new value takes effect in the next time step (Lt+1). The amount of the change in the origin Node is multiplied by the Label Modifier’s own Label.

See the formula below.

$$Lt+1 = Lt + M × ∆S$$

🔧 Let's take the example below. You have a Label Modifier (M) that reads +3 and the origin Node (Pool ∆S) increases by 2 (the rate at which the Resource Connection transfers Resources from Source A to Pool ∆S). The Target Label (L) has increased by 6 in the current time step (Lt): it added to L 3 twice, once for each change in the origin Node. So, in Lt+1, the Resource Connection corresponding to L, will transfer 7 (6+1) Resources to Pool C.

If the Label is the Target of multiple Label Modifiers, you will have to take the sum of all changes to find the new value:

$$Lt+1 = Lt + ∑ (M × ∆S)$$

The Label of a Label Modifier always starts with a + or - symbol.