8 research outputs found
Π ΠΎΠ·ΡΠΎΠ±ΠΊΠ° Π΄Π΅ΡΠΊΡΠΈΠΏΡΠΈΠ²Π½ΠΎΡ Π±ΡΠ½Π°ΡΠ½ΠΎΡ ΠΌΠΎΠ΄Π΅Π»Ρ ΡΠ° ΡΡ Π·Π°ΡΡΠΎΡΡΠ²Π°Π½Π½Ρ Π΄Π»Ρ ΡΠ΄Π΅Π½ΡΠΈΡΡΠΊΠ°ΡΡΡ ΡΠΊΡΠΏΡΠ΅Π½Ρ ΡΠΎΠΊΡΠΈΡΠ½ΠΈΡ ΡΡΠ°Π½ΠΎΠ±Π°ΠΊΡΠ΅ΡΡΠΉ
In the paper, a descriptive model of system dynamics for binary data is presented. Binary or dichotomous data are widely spread across various fields of research β in decision making and data mining, marketing, solving of many natural, social and technical problems. The initial data for building the model is a set of states of an autonomous dynamical system with components taking binary values. At the same time, the time order of the states is permissible. The following objectives were stated: to identify the relationships between the components of the system defining its dynamics; on the basis of the identified dynamics, to recover the true order of the system states; to apply the developed model to the problem of visual identification of cyanobacteria in water areas using digital photography.To solve the problem, we used a mathematical model that enables to describe the relationships between components and transitions between the system states at a simple-for-understanding level. The principle of parsimony underlies the model. According to this principle, the most appropriate model is described by the simplest relations in the sense defined in the work.As the case study, the problem of recognizing clumps of cyanobacteria from digital satellite imagery was considered. This is a complex, practically important problem that does not have a satisfactory experimental and theoretical solution at the moment. Applying system approaches to the measured colorimetric parameters of digital photography, we developed the index for identification of such clumps. This index uses the parameters of the digital RGB model of (various parts of) an image and allows us to reveal clumps of cyanobacteria on digital images obtained by aerospace methods. Additionally, digital photography can be performed in the conditions of insufficient visibility (due to precipitation, fog, and other factors), for imitation of which in the case study the original image was distorted by the digital noise.The studied model can find useful applications in the areas requiring binary dynamical data insightsΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π° Π΄Π΅ΡΠΊΡΠΈΠΏΡΠΈΠ²Π½Π°Ρ Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ Π±ΠΈΠ½Π°ΡΠ½ΡΡ
Π΄Π°Π½Π½ΡΡ
, ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡΠ°Ρ ΠΏΠΎ ΠΈΡΡ
ΠΎΠ΄Π½ΡΠΌ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΡΠΌ Ρ Π½Π°ΡΡΡΠ΅Π½Π½ΡΠΌ Π²ΡΠ΅ΠΌΠ΅Π½Π½ΡΠΌ ΠΏΠΎΡΡΠ΄ΠΊΠΎΠΌ Π²ΠΎΡΡΡΠ°Π½ΠΎΠ²ΠΈΡΡ ΠΈΡΡ
ΠΎΠ΄Π½ΡΠΉ ΠΏΠΎΡΡΠ΄ΠΎΠΊ Π½Π° ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΠΈ ΠΏΡΠΈΠ½ΡΠΈΠΏΠ° ΠΏΠ°ΡΡΠΈΠΌΠΎΠ½ΠΈΠΈ. ΠΠΎΠ΄Π΅Π»Ρ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½Π° Π΄Π»Ρ Π½Π°Ρ
ΠΎΠΆΠ΄Π΅Π½ΠΈΡ ΡΠΈΡΡΠ΅ΠΌΠ½ΡΡ
ΠΊΠΎΠ»ΠΎΡΠΈΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ², ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΠ΅ΠΌΡΡ
Π΄Π»Ρ ΠΎΠ±ΡΠ°Π±ΠΎΡΠΊΠΈ ΠΈΠ·ΠΎΠ±ΡΠ°ΠΆΠ΅Π½ΠΈΠΉ, ΡΠΊΠΎΠΏΠ»Π΅Π½ΠΈΠΉ ΡΠΎΠΊΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΈΠ°Π½ΠΎΠ±Π°ΠΊΡΠ΅ΡΠΈΠΉ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π°Π½Π°Π»ΠΈΠ·Π° ΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½ΡΠΎΠ² RGB-ΠΌΠΎΠ΄Π΅Π»ΠΈ ΡΠΈΡΡΠΎΠ²ΠΎΠΉ ΡΠΎΡΠΎΠ³ΡΠ°ΡΠΈΠΈΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π° Π΄Π΅ΡΠΊΡΠΈΠΏΡΠΈΠ²Π½Π° Π΄ΠΈΠ½Π°ΠΌΡΡΠ½Π° ΠΌΠΎΠ΄Π΅Π»Ρ Π±ΡΠ½Π°ΡΠ½ΠΈΡ
Π΄Π°Π½ΠΈΡ
, ΡΠΎ Π΄ΠΎΠ·Π²ΠΎΠ»ΡΡ ΠΏΠΎ Π²ΠΈΡ
ΡΠ΄Π½ΠΈΠΌ ΡΠΏΠΎΡΡΠ΅ΡΠ΅ΠΆΠ΅Π½Π½ΡΠΌΠΈ Π· ΠΏΠΎΡΡΡΠ΅Π½ΠΈΠΌ ΡΠ°ΡΠΎΠ²ΠΈΠΌ ΠΏΠΎΡΡΠ΄ΠΊΠΎΠΌ Π²ΡΠ΄Π½ΠΎΠ²ΠΈΡΠΈ Π²ΠΈΡ
ΡΠ΄Π½ΠΈΠΉ ΠΏΠΎΡΡΠ΄ΠΎΠΊ Π½Π° ΠΏΡΠ΄ΡΡΠ°Π²Ρ ΠΏΡΠΈΠ½ΡΠΈΠΏΡ ΠΏΠ°ΡΡΠΈΠΌΠΎΠ½ΡΡ. ΠΠΎΠ΄Π΅Π»Ρ Π·Π°ΡΡΠΎΡΠΎΠ²Π°Π½Π° Π΄Π»Ρ Π·Π½Π°Ρ
ΠΎΠ΄ΠΆΠ΅Π½Π½Ρ ΡΠΈΡΡΠ΅ΠΌΠ½ΠΈΡ
ΠΊΠΎΠ»ΠΎΡΠΈΠΌΠ΅ΡΡΠΈΡΠ½ΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡΠ², Π²ΠΈΠΊΠΎΡΠΈΡΡΠΎΠ²ΡΠ²Π°Π½ΠΈΡ
Π΄Π»Ρ ΠΎΠ±ΡΠΎΠ±ΠΊΠΈ Π·ΠΎΠ±ΡΠ°ΠΆΠ΅Π½Ρ ΡΠΊΡΠΏΡΠ΅Π½Ρ ΡΠΎΠΊΡΠΈΡΠ½ΠΈΡ
ΡΡΠ°Π½ΠΎΠ±Π°ΠΊΡΠ΅ΡΡΠΉ Π½Π° ΠΎΡΠ½ΠΎΠ²Ρ Π°Π½Π°Π»ΡΠ·Ρ ΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½ΡΡΠ² RGB-ΠΌΠΎΠ΄Π΅Π»Ρ ΡΠΈΡΡΠΎΠ²ΠΎΡ ΡΠΎΡΠΎΠ³ΡΠ°ΡΡ
ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½Π΅ ΠΌΠΎΠ΄Π΅Π»ΡΠ²Π°Π½Π½Ρ ΡΠΈΡΡΠ΅ΠΌΠ½ΠΈΡ ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ½ΠΈΡ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡΠ², ΡΠΎ Π΄Π΅ΠΌΠ°ΡΠΊΡΡΡΡ Π΄ΠΈΠΊΠΈΡ Π²ΠΎΠ΄ΠΎΠΏΠ»Π°Π²Π½ΠΈΡ ΠΏΡΠ°Ρ ΡΠ²
The research presents results of modeling of systemic colorometric parameters, unmasking wild waterfowl.The problem of unmasking wild waterfowl is acquiring practical relevance in connection with problems of biosafety. Such problems are associated with hotbeds and ways of spreading of avian influenza and a number of other dangerous infections and infestations. Moreover, the study of regularities of formation of animalsβ protective coloration is of interest in terms of a number of fundamental problems of biology and ecology.As a result of conducted research with the use of a new class of mathematical models (DMDS), the authors offered a formalized description of systemic aspects that distinguish between protective coloration of mallard ducks and colorometric parameters of plant communities. The idealized trajectory of the system, reflecting dynamics of colorometric parameters of phytocenosis in the habitat of mallard duck, was constructed. The idealized pseudo-trajectory of the system, reflecting a set of combinations of colorometric parameters of protective coloration of mallard duck, was constructed. The kind of systemic colorometric parameter, which allows unmasking the mallard duck against the background of phytocenosis, was determined. Root mean square deviation of values of difference of colorometric parameters of digital photography of the researched area was selected as the systemic colorometric parameter. The systemic colorometric parameter reflects variability of ratios of difference of values of colorometric parameters in the sample of microsegments, into which the segments of the image of the studied area are divided. The obtained results offer new approaches to development of remote methods of studying living conditions and migration routes of wild waterfowl.ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠΈΡΡΠ΅ΠΌΠ½ΡΡ
ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ², Π΄Π΅ΠΌΠ°ΡΠΊΠΈΡΡΡΡΠΈΡ
Π΄ΠΈΠΊΠΈΡ
Π²ΠΎΠ΄ΠΎΠΏΠ»Π°Π²Π°ΡΡΠΈΡ
ΠΏΡΠΈΡ. Π ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠ΅ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½Π½ΡΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ Ρ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ Π½ΠΎΠ²ΠΎΠ³ΠΎ ΠΊΠ»Π°ΡΡΠ° ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ β Π΄ΠΈΡΠΊΡΠ΅ΡΠ½ΡΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ½ΡΡ
ΡΠΈΡΡΠ΅ΠΌ (ΠΠΠΠ‘) ΠΎΡΡΡΠ΅ΡΡΠ²Π»Π΅Π½ΠΎ ΡΠΎΡΠΌΠ°Π»ΠΈΠ·ΠΎΠ²Π°Π½Π½ΠΎΠ΅ ΠΎΠΏΠΈΡΠ°Π½ΠΈΠ΅ ΡΠΈΡΡΠ΅ΠΌΠ½ΡΡ
Π°ΡΠΏΠ΅ΠΊΡΠΎΠ², ΠΊΠΎΡΠΎΡΡΠ΅ ΠΎΡΠ»ΠΈΡΠ°ΡΡ Π·Π°ΡΠΈΡΠ½ΡΡ ΠΎΠΊΡΠ°ΡΠΊΡ ΡΡΠΊΠΈ-ΠΊΡΡΠΊΠ²Ρ ΠΎΡ ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΡΠ°ΡΡΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΡΠΎΠΎΠ±ΡΠ΅ΡΡΠ². ΠΠΎΠ»ΡΡΠ΅Π½Π½ΡΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΎΡΠΊΡΡΠ²Π°ΡΡ Π½ΠΎΠ²ΡΠ΅ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄Ρ ΠΊ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΠ΅ Π΄ΠΈΡΡΠ°Π½ΡΠΈΠΎΠ½Π½ΡΡ
ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ² ΠΈΠ·ΡΡΠ΅Π½ΠΈΡ ΡΡΠ»ΠΎΠ²ΠΈΠΉ ΠΎΠ±ΠΈΡΠ°Π½ΠΈΡ ΠΈ ΠΏΡΡΠ΅ΠΉ ΠΌΠΈΠ³ΡΠ°ΡΠΈΠΉ Π΄ΠΈΠΊΠΈΡ
Π²ΠΎΠ΄ΠΎΠΏΠ»Π°Π²Π°ΡΡΠΈΡ
ΠΏΡΠΈΡΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΈ ΠΌΠΎΠ΄Π΅Π»ΡΠ²Π°Π½Π½Ρ ΡΠΈΡΡΠ΅ΠΌΠ½ΠΈΡ
ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ½ΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡΠ², ΡΠΊΡ Π΄Π΅ΠΌΠ°ΡΠΊΡΡΡΡ Π΄ΠΈΠΊΠΈΡ
Π²ΠΎΠ΄ΠΎΠΏΠ»Π°Π²Π½ΠΈΡ
ΠΏΡΠ°Ρ
ΡΠ². Π ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½ΠΈΡ
Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Ρ Π· Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½ΡΠΌ Π½ΠΎΠ²ΠΎΠ³ΠΎ ΠΊΠ»Π°ΡΡ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½ΠΈΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ β Π΄ΠΈΡΠΊΡΠ΅ΡΠ½ΠΈΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ Π΄ΠΈΠ½Π°ΠΌΡΡΠ½ΠΈΡ
ΡΠΈΡΡΠ΅ΠΌ (ΠΠΠΠ‘) Π·Π΄ΡΠΉΡΠ½Π΅Π½ΠΎ ΡΠΎΡΠΌΠ°Π»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠΉ ΠΎΠΏΠΈΡ ΡΠΈΡΡΠ΅ΠΌΠ½ΠΈΡ
Π°ΡΠΏΠ΅ΠΊΡΡΠ², ΡΠΊΡ Π²ΡΠ΄ΡΡΠ·Π½ΡΡΡΡ Π·Π°Ρ
ΠΈΡΠ½Π΅ Π·Π°Π±Π°ΡΠ²Π»Π΅Π½Π½Ρ ΠΊΠ°ΡΠΊΠΈ-ΠΊΡΠΈΠΆΠ½Ρ Π²ΡΠ΄ ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ½ΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡΠ² ΡΠΎΡΠ»ΠΈΠ½Π½ΠΈΡ
ΡΠ³ΡΡΠΏΠΎΠ²Π°Π½Ρ. ΠΡΡΠΈΠΌΠ°Π½Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΈ Π²ΡΠ΄ΠΊΡΠΈΠ²Π°ΡΡΡ Π½ΠΎΠ²Ρ ΠΏΡΠ΄Ρ
ΠΎΠ΄ΠΈ Π΄ΠΎ ΡΠΎΠ·ΡΠΎΠ±ΠΊΠΈ Π΄ΠΈΡΡΠ°Π½ΡΡΠΉΠ½ΠΈΡ
ΠΌΠ΅ΡΠΎΠ΄ΡΠ² Π²ΠΈΠ²ΡΠ΅Π½Π½Ρ ΡΠΌΠΎΠ² ΠΏΡΠΎΠΆΠΈΠ²Π°Π½Π½Ρ ΡΠ° ΡΠ»ΡΡ
ΡΠ² ΠΌΡΠ³ΡΠ°ΡΡΠΉ Π΄ΠΈΠΊΠΈΡ
Π²ΠΎΠ΄ΠΎΠΏΠ»Π°Π²Π½ΠΈΡ
ΠΏΡΠ°Ρ
Ρ
ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½Π΅ ΠΌΠΎΠ΄Π΅Π»ΡΠ²Π°Π½Π½Ρ ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ½ΠΈΡ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡΠ² Π΄Π»Ρ Π΄ΠΈΡΡΠ°Π½ΡΡΠΉΠ½ΠΎΠ³ΠΎ ΠΊΠΎΠ½ΡΡΠΎΠ»Ρ ΡΡΠ°Π½Ρ ΠΏΡΠΈΡΠΎΠ΄Π½ΠΈΡ Π±ΡΠΎΠΏΠ»Π°ΡΠΎ
An approach to the remote determination of the character of bioproduction processes in aquatic phytocenoses is proposed. The investigated plant communities can be used as natural bioplato for the elimination of biosafety threats to water consumption. The relevance of these studies is determined by the increased need for expanding the arsenal of methods for remote diagnosis of the states of natural systems that are important for biosafety provision. In particular β to ensure biosafety when using natural feed resources by waterfowls, which are a potential reservoir of bird flu.The similarity in the dynamics of the colorimetric parameters of phytocenoses and the Margalefβs succession model makes it possible to implement a new approach to the generation of productive working hypotheses for the development of remote methods for determining the state of bioproduction processes in natural bioplato. The proposed approach is based on the use of the class of mathematical models, which is called the discrete models of dynamic systems.Based on the structure of the correlations between the colorimetric components of space photographs of the plavni in the mouth of the river Danube, a description of the structure of the intercomponent and intracomponent relations of the massifs of semi-submerged higher aquatic plants has been obtained. The resulting structure of intercomponent relations allowed us to construct idealized trajectories reflecting the dynamic changes of the system. A unique constant inverse relationship between the parameter reflecting the amount of green chlorophyll pigment affecting the level of photosynthetic production and the parameter reflecting the amount of orange-red pigments in each of the possible matrices of the ratios of colorimetric parameters has been revealed. As a result of analysis of the dynamic aspects of the RGB model, the structure of the system color parameter is shown, which is the mean square deviation of the spread in the degree of alignment of parameter values reflecting the amount of green and orange-red pigments.As a result of analysis of the systemic colorimetric parameter of photographs of the section of the Danube plavni during various periods of the vegetative season, it is shown that it is advisable to use it as a marker of the risk of secondary water pollution, which can be used for remote determination of the state of bioproduction processes in natural bioplato.ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΌΠ΅ΠΆΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½ΡΠ½ΡΡ
ΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠΉ ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² Π΅ΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΡΡ
Π±ΠΈΠΎΠΏΠ»Π°ΡΠΎ. Π ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΠΈΡΡ
ΠΎΠ΄Π½ΡΡ
Π΄Π°Π½Π½ΡΡ
ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½Ρ ΠΊΠΎΡΠΌΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΠ½ΠΈΠΌΠΊΠΈ ΠΏΠ»Π°Π²Π½Π΅ΠΉ Π² Π΄Π΅Π»ΡΡΠ΅ ΠΡΠ½Π°Ρ. ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ΠΎ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°ΡΡ ΡΠΈΡΡΠ΅ΠΌΠ½ΡΠΉ ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡ, ΠΎΡΡΠ°ΠΆΠ°ΡΡΠΈΠΉ ΡΠ°Π·ΠΌΠ°Ρ
Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ ΡΡΠ΅ΠΏΠ΅Π½ΠΈ Π²ΡΡΠΎΠ²Π½Π΅Π½Π½ΠΎΡΡΠΈ Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ². ΠΡΠ΄Π΅Π»Π΅Π½Π½ΡΠ΅ ΠΏΡΠΈΠ·Π½Π°ΠΊΠΈ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡ Π΄ΠΈΡΡΠ°Π½ΡΠΈΠΎΠ½Π½ΠΎ Π΄ΠΈΠ°Π³Π½ΠΎΡΡΠΈΡΠΎΠ²Π°ΡΡ ΡΠΎΡΡΠΎΡΠ½ΠΈΠ΅ Π±ΠΈΠΎΠΏΡΠΎΠ΄ΡΠΊΡΠΈΠΎΠ½Π½ΡΡ
ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² Π΅ΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΡΡ
Π±ΠΈΠΎΠΏΠ»Π°ΡΠΎΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΈ ΠΌΠΎΠ΄Π΅Π»ΡΠ²Π°Π½Π½Ρ ΠΌΠ΅ΠΆΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½ΡΠ½ΠΈΡ
Π²ΡΠ΄Π½ΠΎΡΠΈΠ½ ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ½ΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡΠ² ΠΏΡΠΈΡΠΎΠ΄Π½ΠΈΡ
Π±ΡΠΎΠΏΠ»Π°ΡΠΎ. Π ΡΠΊΠΎΡΡΡ Π²ΠΈΡ
ΡΠ΄Π½ΠΈΡ
Π΄Π°Π½ΠΈΡ
Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Ρ ΠΊΠΎΡΠΌΡΡΠ½Ρ Π·Π½ΡΠΌΠΊΠΈ ΠΏΠ»Π°Π²Π½ΡΠ² Π² Π΄Π΅Π»ΡΡΡ ΠΡΠ½Π°Ρ. ΠΠ°ΠΏΡΠΎΠΏΠΎΠ½ΠΎΠ²Π°Π½ΠΎ Π²ΠΈΠΊΠΎΡΠΈΡΡΠΎΠ²ΡΠ²Π°ΡΠΈ ΡΠΈΡΡΠ΅ΠΌΠ½ΠΈΠΉ ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡ, ΡΠΎ Π²ΡΠ΄ΠΎΠ±ΡΠ°ΠΆΠ°Ρ ΡΠΎΠ·ΠΌΠ°Ρ
Π·Π½Π°ΡΠ΅Π½Ρ ΡΡΡΠΏΠ΅Π½Ρ Π²ΠΈΡΡΠ²Π½ΡΠ½ΠΎΡΡΡ Π·Π½Π°ΡΠ΅Π½Ρ ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ½ΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡΠ². ΠΠΈΠ΄ΡΠ»Π΅Π½Ρ ΠΎΠ·Π½Π°ΠΊΠΈ Π΄ΠΎΠ·Π²ΠΎΠ»ΡΡΡΡ Π΄ΠΈΡΡΠ°Π½ΡΡΠΉΠ½ΠΎ Π΄ΡΠ°Π³Π½ΠΎΡΡΡΠ²Π°ΡΠΈ ΡΡΠ°Π½ Π±ΡΠΎΠΏΡΠΎΠ΄ΡΠΊΡΡΠΉΠ½ΠΈΡ
ΠΏΡΠΎΡΠ΅ΡΡΠ² ΠΏΡΠΈΡΠΎΠ΄Π½ΠΈΡ
Π±ΡΠΎΠΏΠ»Π°Ρ
Mathematical Modeling of Systemic Colorometric Parameters Unmasking Wild Waterfowl
The research presents results of modeling of systemic colorometric parameters, unmasking wild waterfowl.The problem of unmasking wild waterfowl is acquiring practical relevance in connection with problems of biosafety. Such problems are associated with hotbeds and ways of spreading of avian influenza and a number of other dangerous infections and infestations. Moreover, the study of regularities of formation of animals' protective coloration is of interest in terms of a number of fundamental problems of biology and ecology.As a result of conducted research with the use of a new class of mathematical models (DMDS), the authors offered a formalized description of systemic aspects that distinguish between protective coloration of mallard ducks and colorometric parameters of plant communities. The idealized trajectory of the system, reflecting dynamics of colorometric parameters of phytocenosis in the habitat of mallard duck, was constructed. The idealized pseudo-trajectory of the system, reflecting a set of combinations of colorometric parameters of protective coloration of mallard duck, was constructed. The kind of systemic colorometric parameter, which allows unmasking the mallard duck against the background of phytocenosis, was determined. Root mean square deviation of values of difference of colorometric parameters of digital photography of the researched area was selected as the systemic colorometric parameter. The systemic colorometric parameter reflects variability of ratios of difference of values of colorometric parameters in the sample of microsegments, into which the segments of the image of the studied area are divided. The obtained results offer new approaches to development of remote methods of studying living conditions and migration routes of wild waterfowl
ΠΠΎΠ΄Π΅Π»ΡΠ²Π°Π½Π½Ρ ΠΏΡΠΎΡΠ΅Π΄ΡΡΠΈ Π΄Π΅ΠΌΠ°ΡΠΊΡΠ²Π°Π½Π½Ρ Π»ΠΈΡΠΈΡΡ Ρ Π·Π°Ρ ΠΎΠ΄Π°Ρ ΡΠΎΠ΄ΠΎ Π΅Π»ΡΠΌΡΠ½Π°ΡΡΡ ΠΏΠΎΠ³ΡΠΎΠ· Π±ΡΠΎΠ±Π΅Π·ΠΏΠ΅ΠΊΠΈ, ΠΏΠΎΠ²'ΡΠ·Π°Π½ΠΈΡ Π·Ρ ΡΠΊΠ°Π·ΠΎΠΌ
The study presents results of mathematical modeling of protective coloration of foxes in order to discover on the ground the animals, which are potential reservoirs of rabies. For simulation, discrete dynamical model, dynamics of which is determined by relationships between components, was used. This type of models was previously used for formalized description of the structure of relationships of components and dynamics of various biological systems.The authors constructed the idealized trajectory of the system of plant community in habitat of foxes and idealized pseudo trajectory of the system, reflecting distribution of various combinations of colorometric parameters of protective coloration of these animals. The trajectories of these systems were constructed using rechronization technique. This technique implies that various sections of the image of a system change their colorometric parameters within one cycle, but are in different phases of this cycle.As a result of comparison of obtained idealized trajectories, feature space that allow us to distinguish between the image of protective coloration of foxes and the image of plant communities, was determined. This is a two-dimensional feature space, coordinates of which are systemic colorometric parameters of the RGB model of the image.Unmasking of the brood of young foxes against grassy background with the use of the proposed technique made it possible to determine location of the animals in the image, sharpness and contrast range of which were deliberately artificially degraded.Improvement of methods of animal unmasking on terrain by digital photos allows us to enhance effectiveness of measures on elimination of biosafety hazards, caused by rabies of wild animalsΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ Π·Π°ΡΠΈΡΠ½ΠΎΠΉ ΠΎΠΊΡΠ°ΡΠΊΠΈ Π»ΠΈΡΠΈΡ Ρ ΡΠ΅Π»ΡΡ Π²ΡΡΠ²Π»Π΅Π½ΠΈΡ ΠΆΠΈΠ²ΠΎΡΠ½ΡΡ
Π½Π° ΠΌΠ΅ΡΡΠ½ΠΎΡΡΠΈ. ΠΠ»Ρ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½Π° Π΄ΠΈΡΠΊΡΠ΅ΡΠ½Π°Ρ Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ. Π‘ΡΡΡΠΊΡΡΡΠ½ΠΎ-ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΈΠ΄Π΅Π½ΡΠΈΡΠΈΠΊΠ°ΡΠΈΡ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΎΡΡΡΠ΅ΡΡΠ²Π»ΡΠ»Π°ΡΡ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ ΡΠΈΡΡΠΎΠ²ΡΡ
ΡΠ½ΠΈΠΌΠΊΠΎΠ² ΠΆΠΈΠ²ΠΎΡΠ½ΡΡ
ΠΈ ΡΠ°ΡΡΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΡΠΎΠΎΠ±ΡΠ΅ΡΡΠ² Π² ΠΌΠ΅ΡΡΠ°Ρ
ΠΈΡ
ΠΏΡΠΎΠΆΠΈΠ²Π°Π½ΠΈΡ. ΠΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Ρ ΡΠΈΡΡΠ΅ΠΌΠ½ΡΠ΅ ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡ, ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΊΠΎΡΠΎΡΡΡ
ΠΏΠΎΠ·Π²ΠΎΠ»ΠΈΠ»ΠΎ ΠΏΠΎΠ²ΡΡΠΈΡΡ ΠΊΠΎΠ½ΡΡΠ°ΡΡΠ½ΠΎΡΡΡ ΡΠΈΠ»ΡΡΡΠΎΠ² ΠΆΠΈΠ²ΠΎΡΠ½ΡΡ
Π½Π° ΡΠΎΠ½Π΅ ΡΠΈΡΠΎΡΠ΅Π½ΠΎΠ·Π°. ΠΡΠΎ ΠΏΠΎΠ²ΡΡΠ΅Π½ΠΈΠ΅ ΠΊΠΎΠ½ΡΡΠ°ΡΡΠ½ΠΎΡΡΠΈ ΡΠΏΠΎΡΠΎΠ±ΡΡΠ²ΡΠ΅Ρ Π΄Π΅ΠΌΠ°ΡΠΊΠΈΡΠΎΠ²ΠΊΠ΅ ΠΆΠΈΠ²ΠΎΡΠ½ΡΡ
Π½Π° ΠΌΠ΅ΡΡΠ½ΠΎΡΡΠΈ, ΡΡΠΎ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎ ΠΏΡΠΈ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠΈ ΠΌΠ΅ΡΠΎΠΏΡΠΈΡΡΠΈΠΉ ΠΏΠΎ ΡΠ»ΠΈΠΌΠΈΠ½Π°ΡΠΈΠΈ ΡΠ³ΡΠΎΠ· Π±ΠΈΠΎΠ±Π΅Π·ΠΎΠΏΠ°ΡΠ½ΠΎΡΡΠΈ, ΡΠ²ΡΠ·Π°Π½Π½ΡΡ
Ρ Π±Π΅ΡΠ΅Π½ΡΡΠ²ΠΎΠΌΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΈ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½ΠΎΠ³ΠΎ ΠΌΠΎΠ΄Π΅Π»ΡΠ²Π°Π½Π½Ρ Π·Π°Ρ
ΠΈΡΠ½ΠΎΠ³ΠΎ Π·Π°Π±Π°ΡΠ²Π»Π΅Π½Π½Ρ Π»ΠΈΡΠΈΡΡ Π· ΠΌΠ΅ΡΠΎΡ Π²ΠΈΡΠ²Π»Π΅Π½Π½Ρ ΡΠ²Π°ΡΠΈΠ½ Π½Π° ΠΌΡΡΡΠ΅Π²ΠΎΡΡΡ. ΠΠ»Ρ ΠΌΠΎΠ΄Π΅Π»ΡΠ²Π°Π½Π½Ρ Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π° Π΄ΠΈΡΠΊΡΠ΅ΡΠ½Π° Π΄ΠΈΠ½Π°ΠΌΡΡΠ½Π° ΠΌΠΎΠ΄Π΅Π»Ρ. Π‘ΡΡΡΠΊΡΡΡΠ½ΠΎ-ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈΡΠ½Π° ΡΠ΄Π΅Π½ΡΠΈΡΡΠΊΠ°ΡΡΡ ΠΌΠΎΠ΄Π΅Π»Ρ Π·Π΄ΡΠΉΡΠ½ΡΠ²Π°Π»Π°ΡΡ Π½Π° ΠΎΡΠ½ΠΎΠ²Ρ ΡΠΈΡΡΠΎΠ²ΠΈΡ
Π·Π½ΡΠΌΠΊΡΠ² ΡΠ²Π°ΡΠΈΠ½ Ρ ΡΠΎΡΠ»ΠΈΠ½Π½ΠΈΡ
ΡΠΏΡΠ»ΡΠ½ΠΎΡ Ρ ΠΌΡΡΡΡΡ
ΡΡ
ΠΌΠ΅ΡΠΊΠ°Π½Π½Ρ. ΠΠΈΠ·Π½Π°ΡΠ΅Π½Ρ ΡΠΈΡΡΠ΅ΠΌΠ½Ρ ΠΊΠΎΠ»ΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ½Ρ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈ, Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½Ρ ΡΠΊΠΈΡ
Π΄ΠΎΠ·Π²ΠΎΠ»ΠΈΠ»ΠΎ ΠΏΡΠ΄Π²ΠΈΡΠΈΡΠΈ ΠΊΠΎΠ½ΡΡΠ°ΡΡΠ½ΡΡΡΡ ΡΠΈΠ»ΡΠ΅ΡΡΠ² ΡΠ²Π°ΡΠΈΠ½ Π½Π° ΡΠΎΠ½Ρ ΡΡΡΠΎΡΠ΅Π½ΠΎΠ·Ρ. Π¦Π΅ ΠΏΡΠ΄Π²ΠΈΡΠ΅Π½Π½Ρ ΠΊΠΎΠ½ΡΡΠ°ΡΡΠ½ΠΎΡΡΡ ΡΠΏΡΠΈΡΡ Π΄Π΅ΠΌΠ°ΡΠΊΡΠ²Π°Π½Π½Ρ ΡΠ²Π°ΡΠΈΠ½ Π½Π° ΠΌΡΡΡΠ΅Π²ΠΎΡΡΡ, ΡΠΎ Ρ Π½Π΅ΠΎΠ±Ρ
ΡΠ΄Π½ΠΈΠΌ ΠΏΡΠΈ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½Π½Ρ Π·Π°Ρ
ΠΎΠ΄ΡΠ² ΡΠΎΠ΄ΠΎ ΡΡΡΠ½Π΅Π½Π½Ρ Π·Π°Π³ΡΠΎΠ· Π±ΡΠΎΠ±Π΅Π·ΠΏΠ΅ΠΊΠΈ, ΠΏΠΎΠ²'ΡΠ·Π°Π½ΠΈΡ
Π·Ρ ΡΠΊΠ°Π·ΠΎ
Mathematical Modeling of the Colorimetric Parameters for Remote Control Over the State of Natural Bioplato
An approach to the remote determination of the character of bioproduction processes in aquatic phytocenoses is proposed. The investigated plant communities can be used as natural bioplato for the elimination of biosafety threats to water consumption. The relevance of these studies is determined by the increased need for expanding the arsenal of methods for remote diagnosis of the states of natural systems that are important for biosafety provision. In particular β to ensure biosafety when using natural feed resources by waterfowls, which are a potential reservoir of bird flu.The similarity in the dynamics of the colorimetric parameters of phytocenoses and the Margalef's succession model makes it possible to implement a new approach to the generation of productive working hypotheses for the development of remote methods for determining the state of bioproduction processes in natural bioplato. The proposed approach is based on the use of the class of mathematical models, which is called the discrete models of dynamic systems.Based on the structure of the correlations between the colorimetric components of space photographs of the plavni in the mouth of the river Danube, a description of the structure of the intercomponent and intracomponent relations of the massifs of semi-submerged higher aquatic plants has been obtained. The resulting structure of intercomponent relations allowed us to construct idealized trajectories reflecting the dynamic changes of the system. A unique constant inverse relationship between the parameter reflecting the amount of green chlorophyll pigment affecting the level of photosynthetic production and the parameter reflecting the amount of orange-red pigments in each of the possible matrices of the ratios of colorimetric parameters has been revealed. As a result of analysis of the dynamic aspects of the RGB model, the structure of the system color parameter is shown, which is the mean square deviation of the spread in the degree of alignment of parameter values reflecting the amount of green and orange-red pigments.As a result of analysis of the systemic colorimetric parameter of photographs of the section of the Danube plavni during various periods of the vegetative season, it is shown that it is advisable to use it as a marker of the risk of secondary water pollution, which can be used for remote determination of the state of bioproduction processes in natural bioplato