Stock And Flow

Stocks and flows are the basic building blocks of system dynamics models. Jay Forrester originally coined them as "levels" (for stocks) and "rates" (for flows). A stock (or "level variable") is some entity that is accumulated over time by inflows and/or depleted by outflows. Stocks can only be changed via flows. Mathematically a stock can be seen as an accumulation or integration of flows over time - with outflows subtracting from the stock. Stocks typically have a certain value at each moment of time - e.g. the number of population at a certain moment. A flow (or "rate") changes a stock over time. Usually we can clearly distinguish inflows (adding to the stock) and outflows (subtracting from the stock). Flows typically are measured over a certain interval of time - eg. the number of births over a day or month.

Examples

StockInflow(s)Outflow(s)
inventoryincoming goodsoutgoing goods
guests in a hotelguests arrivingguests leaving
populationbirths
immigration
deaths
emigration
water in bathtubwater pouring inwater leaving through sink
waste in disposal sitedumping wastedecay of waste
bank accountpaying inwithdrawals
fuel tankrefuelingfuel consumption

 

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