Editing Logistic map (section)

=== Positioning ===
As described above, in biological population dynamics, the logistic map is one of the models of discrete growth processes. However, unlike the laws of physics, the logistic map as a model of biological population size is not derived from direct experimental results or universally valid principles <!--[ 301 ]-->. Although there is some rationality in the way it is derived, it is essentially a "model" thought up in one's mind <!--[ 301 ]-->. May, who made the logistic map famous, did not claim that the model he was discussing accurately represented the increase and decrease in population size <!--[ 302 ]-->. Historically, continuous-time models based on differential equations have been widely used in the study of biological population dynamics, and the application of these continuous-time models has deepened our understanding of biological population dynamics <!--[ 274 ]-->. As a discrete-time population model that takes into account density effects, the Ricker model, in which the population size is not negative, is more realistic <!--[ 277 ]-->.

Generally speaking, mathematical models can provide important qualitative information about population dynamics, but their results should not be taken too seriously without experimental support . <!--[ 303 ]--> Even if the conclusions of mathematical models deviate from those of biological studies, mathematical modeling is still useful because it can provide a useful control.<!--[ 304 ]--> Biological issues may be raised by reviewing the model construction process and settings, or the biological knowledge and assumptions that the model is based on.<!--[ 304 ]--> Although the logistic map is too simple to be realistic as a population model, its results suggest that a variety of population fluctuations may occur due to the dynamics inherent in the population itself, regardless of random influences from the environment. <!--[ 305 ]-->