Abstract
Introduction. There are a number of factors influencing and accelerating erosion processes. At the same time, the erosion of the soil itself plays an important role. To assess the erosion state of soils, various methods and means of remote sensing are widely used. The purpose of the study. The purpose of the study is to somewhat simplify the well-known multiplicative model for studying soil erosion in forests by some combination of indicators of individual factors and the formation of new composite functionals – indicators of vegetation stress as part of an improved model. Methods. The functionals introduced in the article can be considered as indices of the state of plants in forest areas. The first component in these functionals is an indicator of stress, i.e. the greater this component, the deeper the state of stress of the plant. At the same time, the second component in these functionals is an indicator of the healthy state of vegetation. Therefore, in general, the weighted average of these indicators is an indicator of the state of vegetation. Results. An extremal property of this functional, called the plant state functional, is shown. It is determined that this functional can be defined as a linearly weighted or geometric mean. In the first case, in the graph of the dependence of this functional on the indicator of the reflected signal in the Green zone, to the right of the extremum (minimum) point, there is a zone of deterioration in the state of vegetation, and to the left is an improvement zone. In the second case, when using the geometric mean, this picture changes as follows: conditions are revealed when the extremum turns into a minimum or maximum. In the case of a maximum, to the right of the maximum point there is a zone of improvement in the state of vegetation, and to the left of deterioration. Practical depend_ ency. Based on the results obtained, new methods can be developed to assess the state of soil erosion using the results of spectral remote sensing. in forests. Discussion. The issue of assessing soil erosion in forest areas is considered. Based on the well-known model of soil erosion in forest areas, an improved erosion model is proposed that contains an extreme functional of the state of vegetation, depending on two indica% tors characterizing the nitrogen content in the plant and the stress level, respectively. The introduction of such an extreme factor into the multiplicative erosion model makes it possible to more objectively assess the degree of soil erosion.
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