Assimilation of the climatic hydrological data in the σ-coordinate model of the black sea by the algorithm of adaptive statistics

Mizyuk, A. I.; Knysh, V. V.; Kubryakov, A. I.; Коротаев, Г. К.

doi:10.1007/s11110-010-9058-2

Cited by 8 publications

(7 citation statements)

References 6 publications

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“…В отличие от классических подходов к усвоению данных [19][20][21], адаптивные модели характеризуются более простым способом ассимиляции в них данных наблюдений [2,3,13]. Наблюдения входят в качестве дополнительных функций источников в круглые скобки уравнений модели (9)-(15) после приведения их к соответствующему интервалу изменчивости переменной путем преобразования (6).…”

Section: метод переменных нормирующих множителей коэффициентов влиянийunclassified

Modeling of Intra-System Relationships in the Adaptive Model of the Marine Environment Biochemical Processes

Timchenko¹,

Igumnova²,

Svishchev³

2020

MGZh

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Section: метод переменных нормирующих множителей коэффициентов влиянийunclassified

Modeling of Intra-System Relationships in the Adaptive Model of the Marine Environment Biochemical Processes

Timchenko¹,

Igumnova²,

Svishchev³

2020

MGZh

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“…The methods of satellite and contact observations assimilation were developed in many studies on the models of ocean and atmosphere dynamics [1][2][3][4][5][6][7]. In a number of studies the methods for assimilating satellite observations of chlorophyll concentration, temperature and sea-level elevations, as well as remote observations of floating buoys in the Black Sea circulation models, were developed [8][9][10]. Due to this, the works in which the models of marine ecosystems are based on hydrophysical equations of substance transport and diffusion, supplemented by the functions of sources and sinks, taking into account the biochemical reactions of substance transformation in the marine environment, appeared.…”

Section: Introductionmentioning

confidence: 99%

Assimilation of Satellite Observations of the Chlorophyll-a Concentration and the Calculated Data on the Marine Environment Dynamics in the Adaptive Model of the Ecosystem of the Black Sea Northwestern Shelf

Timchenko¹,

Naumenko²,

Igumnova³

2019

PhO

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The model of the sea upper layer ecosystem based on the equations of the adaptive balance of causes method is proposed. The scheme of the cause-effect relations from the paper by Fasham, Ducklow and McKelvie constituting the nitrogen cycle reactions in the sea upper layer is used in the model. Parameterization of biochemical reactions of the substance interaction is substituted in this model for the normalized ratios of the substances' average concentrations resulted from analyzing the observations of the biochemical fields of the Black Sea northwestern shelf. The satellite-derived chlorophylla concentrations as well as the data on advection and diffusion obtained from calculations of intraannual variability of the current velocity field in the sea upper sea layer using the hydrodynamic model, are used as the external influencing factors. Being regarded as the external influencing factors, the information was used for calculating the deviations of the biochemical fields' concentrations from their average values assumed to be a stationary state of the ecosystem. The observations were assimilated through including the sources' additional functions (representing the assimilated data) to the right parts of the adaptive ecosystem model equations. The regional maps of the biochemical fields permitting to analyze their spatial-temporal variability in 2015 were constructed. The drawn conclusion confirms utility of the proposed approach used for mapping the biochemical fields of the sea upper layer.Keywords: adaptive balance of causes method, preservation of material balances, normalized influence coefficients, adaptive model of the sea upper layer ecosystem, maps of biochemical fields.Acknowledgements: the adaptive model of the marine ecosystem is developed at financial support of the Russian Fund of Fundamental Investigations and the Sevastopol Administration within the framework of the project No. 18-47-920001 "Study of the principles for constructing adaptive models of the ecological-economic systems and digital informational technologies for managing the scenarios of sustainable development of natural and economical complexes in the Seavastopol region". The computing experiments with the model are performed within the framework of the state task on the theme No. 0827-2018-0004 "Complex interdisciplinary investigations of the oceanologic processes which condition functioning and evolution of the coastal ecosystems of the Black and Azov seas".

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“…This purpose is provided by probabilistic and variational methods of observational data assimilation in numerical models of ocean dynamics [6][7][8][9][10]. In a series of studies, the equations of substance transport and diffusion are supplemented by the functions of sources and sinks describing the chemical-biological reactions between them.…”

Section: Introductionmentioning

confidence: 99%

Assimilation of the Observational Data in the Marine Ecosystem Adaptive Model at the Known Mean Values of the Processes in the Marine Environment

Тimchenko

Lazarchuk

Igumnova

2017

PhO

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Assimilation of observational data in the marine ecosystem adaptive models constructed by the adaptive balance of causes method is considered. It is shown that the feedback balance between the ecosystem variables and the rates of their change used in the method equations, permits to introduce a stationary state of the ecosystem characterized by the observed mean values of the variables. The method for assessing the normalized coefficients of influences based on application of the Euler theorem on homogeneous functions to the functions representing material balances of biochemical reactions of the substance transformation is proposed. It is shown that the normalized ratios of the modeled process mean values can be used as the estimates of the reaction product derivatives obtained on the basis of their resources included in the equations of material balances. Onedimensional adaptive model of the sea upper layer ecosystem is constructed as an example; it is based on the scheme of cause-effect relations of the Fasham, Dacklow and McKelvie model of plankton dynamics and nitrogen cycle It is shown that in such a model, observational data is assimilated by automatic adaptation of the model variables to the assimilated information providing that the substance material balance are preserved in the transformation reactions. The data simulating both observations of the chlorophyll a concentrations and the marine environment dynamics are assimilated in the model. Time scenarios of the biochemical processes are constructed; they confirm applicability of the proposed method for assessing the effect coefficients based on the ratios of the simulated process mean values. IntroductionA growing amount of information on the processes in the sea upper layer, which is due to the development of numerical modeling of marine environment physical characteristics [1] and sea surface satellite monitoring [2,3], offers the prospects of operative control upon the scenarios of those processes which are not directly observed. As the non-observable processes are related to the observed ones by the dependences known from the experience, a general system of equations of the sea environment mathematical model provides the calculation of scenarios of all modeled processes.In the sea upper layer ecosystems the complex biochemical interactions of substances and living objects [4,5] develop against a background of dynamic processes. The main problem of ecosystem modeling is a parameterization of cause-effect relationships between the model variables: we have to involve a huge number of empirical relationships and coefficients which significantly complicate the model equations and lead to inevitable errors in the modeling results.Assimilation of observational data in the models of ecosystems is required for making the model estimations of process scenarios more realistic. This purpose is

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Assimilation of the climatic hydrological data in the σ-coordinate model of the black sea by the algorithm of adaptive statistics

Cited by 8 publications

References 6 publications

Modeling of Intra-System Relationships in the Adaptive Model of the Marine Environment Biochemical Processes

Modeling of Intra-System Relationships in the Adaptive Model of the Marine Environment Biochemical Processes

Assimilation of Satellite Observations of the Chlorophyll-a Concentration and the Calculated Data on the Marine Environment Dynamics in the Adaptive Model of the Ecosystem of the Black Sea Northwestern Shelf

Assimilation of the Observational Data in the Marine Ecosystem Adaptive Model at the Known Mean Values of the Processes in the Marine Environment

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