Fractal Method for Assessing the Efficiency of Application of Closed Artificial Agroecosystems

It is stated that the efficiency of closed artificial agroecosystems in comparison with open artificial agroecosystems is due to the fact that in closed artificial agroecosystems there is an opportunity to provide the required, abiotic factors to ensure effective development and growth of plants. It is shown that two main processes underlie plant productivity: the chemical reaction of photosynthesis and evaporative thermoregulation of this reaction. They have a cooperative, synergetic character - they complement and support the joint action aimed at the formation of plant product. The action of one of such factors consists in obtaining by a plant the energy of light radiation, which has two components: the photosynthetic component of light radiation and the accompanying thermal component of light radiation. Moreover, they are components of one phenomenon - light radiation. Therefore, we have chosen the factor of light radiation as an evaluating factor among all abiotic factors, and the time series of green mass weight growth as a productivity criterion. It is shown that many real time series are characterized by invariance with respect to scale transformations, in connection with which the standard Gaussian statistics turns out to be untenable, and the problem of time series research is reduced to the analysis of stochastic self-similar processes that can be described by fractal sets having their own fractal dimensionality. Potato variety Desiree was chosen as a material for research. The fractal dimension of the series in our research was determined using the method of normalized spread or R/S analysis, which is the basis of fractal analysis. The results of calculations of numerical characteristics of plant weight time series: linear trends of weight changes and fractal dimensionality of weight change processes under different lighting regimes are presented. Under artificial illumination the coefficient at argument is 4.4 times higher than under natural illumination, which proves a greater rate of growth of green mass weight in the first case, while the fractal dimension has a value closer to 1 by 0.07 units, which is an indicator of Effective Productivity under artificial illumination. #COMESYSO1120.