Nonparametric Bayesian Networks as a Tool of Multiscale Time Series Analysis and Remote Sensing Data Integration

N. Pyko, D. Tishin, Pavel Y. Iskandirov, A. Gafurov, B. Usmanov, M. Bogachev
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Abstract

Introduction. Nonparametric Bayesian networks are a promising tool for analyzing, visualizing, interpreting and predicting the structural and dynamic characteristics of complex systems. Modern interdisciplinary research involves the complex processing of heterogeneous data obtained using sensors of various physical nature. In the study of the forest fund, both methods of direct dendrological measurements and methods of remote observation using unmanned aerial vehicles are widely used. Information obtained using these methods must be analyzed in conjunction with hydrometeorological monitoring data.Aim. Investigation of the possibility of automating the monitoring of the well-being of the forest fund based on the integration of ground survey data, remote multispectral measurements and hydrometeorological observations using the mathematical apparatus of nonparametric Bayesian networks.Materials and methods. To assess the long-term joint dynamics of natural and climatic indicators and the radial growth of trees, a modified method of multiscale cross-correlation analysis was used with the removal of the background trend described by the moving average model. Relationships between various indicators were estimated based on the unconditional and conditional nonparametric Spearman correlation coefficients, which were used to reconstruct and parameterize the nonparametric Bayesian network.Results. A multiscale nonparametric Bayesian network was constructed to characterize both unconditional and conditional statistical relationships between parameters obtained from remote sensing, hydroclimatic and dendrological measurements. The proposed model showed a good quality of the plant fund state forecasting. The correlation coefficients between the observed and predicted indicators exceed 0.6, with the correlation coefficient comprising 0.77 when predicting the growth trend of annual tree rings.Conclusion. The proposed nonparametric Bayesian network model reflects the relationship between various factors that affect the forest ecosystem. The Bayesian network can be used to assess risks and improve environmental management planning.
非参数贝叶斯网络在多尺度时间序列分析和遥感数据集成中的应用
介绍。非参数贝叶斯网络是分析、可视化、解释和预测复杂系统结构和动态特性的一种很有前途的工具。现代跨学科研究涉及对使用各种物理性质的传感器获得的异构数据的复杂处理。在森林基金的研究中,广泛采用直接的树木测量方法和利用无人机进行远程观测的方法。利用这些方法获得的信息必须结合水文气象监测资料进行分析。基于非参数贝叶斯网络数学装置的地面调查数据、远程多光谱测量和水文气象观测一体化的森林基金健康状况自动化监测的可能性研究。材料和方法。为了评估自然和气候指标与树木径向生长的长期联合动态,采用了一种改进的多尺度相互关联分析方法,去掉了移动平均模式描述的背景趋势。基于无条件和条件非参数Spearman相关系数估计各指标之间的关系,并将其用于重建和参数化非参数贝叶斯网络。构建了多尺度非参数贝叶斯网络来表征遥感、水文气候和树木测量参数之间的无条件和条件统计关系。该模型对电厂资金状态的预测具有较好的效果。观测指标与预测指标的相关系数大于0.6,预测年轮生长趋势的相关系数为0.77。提出的非参数贝叶斯网络模型反映了影响森林生态系统的各种因素之间的关系。贝叶斯网络可用于评估风险和改进环境管理规划。
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