A mathematical model of algal blooms based on the characteristics of complex networks theory

Yao, Jun; Xiao, Peng; Zhang, Yunhuai; Zhan, Min; Cheng, Jiangwei

doi:10.1016/j.ecolmodel.2011.09.006

Cited by 13 publications

(3 citation statements)

References 34 publications

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“…The ratio of the number of links among the nodes within its neighborhood divided by the total number of links that could possibly exist among them [94,[104][105][106] FW; RN; BN Betweenness centrality Quantifies how frequently a node i is on the shortest paths between every pair of nodes j and k [66,104,105,110,[114][115][116][117] FW; BN; RN; WN…”

Section: Clustering Coefficientmentioning

confidence: 99%

Implementation of Diversified Ecological Networks to Strengthen Wetland Conservation

Cui

Zhang

Lei

2012

CLEAN Soil Air Water

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The notion that the conservation of wetlands in the world is too limited has gained a universal consensus because of the conflicts between their great value and the drastic decline in their quantity and quality. To mitigate these conflicts, ecological networks have integrated the hydrologic and biological connectivity of ecosystems. The basic elements of ecological networks, patches, and corridors, have been extracted to reflect the attributes of the hydrologic and biological connectivity of ecosystems. This paper reviews recent applications of network approaches to ecological conservation, focusing on their application in wetland ecosystems, and proposing a new perspective for wetland conservation. This review is limited to four aspects: first, the linkages between wetlands and ecological networks are determined by reviewing the development both of them; second, the two types of connectivity and their application that can be obtained from graphs or network models are discussed; third, common network analysis approaches, which can provide a theoretical basis to explore the optimal relationship between network structure and function, are summarized; finally, this paper presents the configuration and convergence characteristics of different types of wetland networks at multiple spatial scales. At the conclusion, suggestions for further work are presented.

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Section: Clustering Coefficientmentioning

confidence: 99%

Implementation of Diversified Ecological Networks to Strengthen Wetland Conservation

Cui

Zhang

Lei

2012

CLEAN Soil Air Water

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“…Eutrophic lakes and rivers account for 24.6% of the major lakes in China [7]. Algal bloom is the typical result of water eutrophication and is caused by the great increase of nitrogen, phosphorus and other nutrients when lakes and rivers are polluted [8,9]. Both Lake Constance and Lake Erie have algal bloom pollution, and in China, many lakes and reservoirs in the middle and lower parts of both the Yangtze River and the Yellow River also break out in algal blooms very frequently, and the problem is particularly serious in Lake Tai, Chao Lake and Dian Lake.…”

Section: Introductionmentioning

confidence: 99%

A Novel Group Decision-Making Method Based on Sensor Data and Fuzzy Information

Bai

Zhang

Wang

et al. 2016

Sensors

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Algal bloom is a typical phenomenon of the eutrophication of rivers and lakes and makes the water dirty and smelly. It is a serious threat to water security and public health. Most scholars studying solutions for this pollution have studied the principles of remediation approaches, but few have studied the decision-making and selection of the approaches. Existing research uses simplex decision-making information which is highly subjective and uses little of the data from water quality sensors. To utilize these data and solve the rational decision-making problem, a novel group decision-making method is proposed using the sensor data with fuzzy evaluation information. Firstly, the optimal similarity aggregation model of group opinions is built based on the modified similarity measurement of Vague values. Secondly, the approaches’ ability to improve the water quality indexes is expressed using Vague evaluation methods. Thirdly, the water quality sensor data are analyzed to match the features of the alternative approaches with grey relational degrees. This allows the best remediation approach to be selected to meet the current water status. Finally, the selection model is applied to the remediation of algal bloom in lakes. The results show this method’s rationality and feasibility when using different data from different sources.

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“…In many studies cell size/algal growth rate relationships are sought (Morin et al, 2008). Growth of algae is influenced by a variety of biological and non-biological factors, and the ecosystem models incorporates such factors as transparency, temperature, pH, BOD, electrolytic conductivity nitrate and phosphate (Kozak, 2005;Souza et al, 2008;Mao et al, 2009;Lehman et al, 2010;Yao et al, 2011;Lyche-Solheim et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Using Avrami equation in the studies on changes in granulometric composition of algal suspension

Kuśnierz

Łomotowski

2015

Hydrobiologia

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In recent years, it has been recognized that the laser diffraction gives valuable information on particle size distribution for all types of dry inorganic or even organic materials. With use of the laser diffraction and the laser granulometer, this paper presents the changes occurring in the granulometric distribution of algal agglomerates and the changes in values of percentiles 10, 50 and 90%, determined basing on volume distribution. While assessing the granulometric composition, the existence of a proportional relationship between the diameter values corresponding to the percentile of 10, 50 and 90% was observed. What is more, the obtained results give insight into the possibility of application of the general Avrami equation to describe the granulometric composition of the algal suspension through the analogy of crystals formation from saturated solutions. The analysis shows that the model described by the modified Avrami equation adequately matched the regression to the experimental data on the granulometric composition of algal suspensions. The values of the correlation coefficients were close to 1, which proves that the regression model explained nearly all cases by the dependent variable V i = F(d i ).

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A mathematical model of algal blooms based on the characteristics of complex networks theory

Cited by 13 publications

References 34 publications

Implementation of Diversified Ecological Networks to Strengthen Wetland Conservation

Implementation of Diversified Ecological Networks to Strengthen Wetland Conservation

A Novel Group Decision-Making Method Based on Sensor Data and Fuzzy Information

Using Avrami equation in the studies on changes in granulometric composition of algal suspension

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