| Abstract [eng] |
This article describes the mathematics for decomposition of growth and diffusion into S-shaped logistic components, roughly analogous to wavelet analysis, popular for signal processing and compression. We are all accustomed to the idea of growth to a limit, for example, the number of people becoming ill in an epidemic. In fact, observers have recorded thousands of examples of such S-shaped growth in settings as diverse as animal populations , energy and transport infrastructures, language acquisition, and technological performance. Often the measured quantity (population of a species, height of a plant, power of an engine) grows exponentially at the outset. However, natural systems cannot sustain exponential growth indefinitely. Rather, negative feedback mechanisms or signals from the environment slow the growth, producing the S-shaped curve. Companies needs to be aware of growth limit, so that parameters of investment growth estimation may change. The human eye is not well-suited to perform this task with a reasonable degree of precision. So I have developed software for investment estimation in closed environment. Additionally I introduce The Loglet Lab software package which is used mainly in biologic systems. In this case, I’ll try to use this logistic growth software package in economic scope. This software has an advanced fitting engine to analyze complex data and compound phenomena. This document provides the background for performing logistic analysis. |
