As we all know there are two types of seasonal types, additive and multiplicative, but I have trouble telling them apart. To my understanding, in multiplicative seasonality, the magnitude of a seasonality would grow with the trend. For example with an upward trend, the magnitude of a season would grow bigger. But what if the magnitude of a seasonality grows but the trend stays the same. In other words, the minimum value of one season always seem to be on one horizontal line but the maximum value keeps increasing. What kind of seasonality is this? What model can I use to describe this data series?
This is the formula given in Forecasting, Principles and Practice. From what I read it seems that the trend and the level are not multiplied together in the multiplicative seasonality case. Also in the statsmodels library, both the trend and the seasonality can be chosen as either multiplicative or additive. Can anyone clarify more what kind of additive mode we should be talking about here?