Spatial and temporal Taylor’s law in 1D chaotic maps

By using low-dimensional chaos maps, the power law relationship established between sample mean and variance called Taylor's Law (TL) is studied. In particular, we aim to clarify TL from spatial ensemble (STL) temporal (TTL). Since corresponds independent sampling a stationary distribution, confirm that STL explained by skewness of distribution. The difference TTL shown be originated in correlation dynamics. case logistic tent quadratic variance, Bartlett's law, found analytically. On other hand, Hassell model can well chunk structure trajectory, whereas Ricker have different mechanism specific form map.