摘要
利用大型水生植物的化感作用抑制水华藻类是水域生态学研究的热点课题之一。探讨了不同浓度普生轮藻浸提液对产毒铜绿微囊藻和斜生栅藻(单纯以及混合藻类)的抑制作用,并根据实验过程中得到的数据和数据特征,在传统的Logistic模型和Lotka-Volterra模型基础上,通过微元法建立了普生轮藻浸提液对单纯产毒铜绿微囊藻、单纯斜生栅藻抑制的数学模型以及两藻混合时抑制的数学模型。结果表明,(1)普生轮藻浸提液无论对单独的毒性铜绿微囊藻或斜生栅藻还是共生状态的毒性铜绿微囊藻和斜生栅藻均有很强抑制作用,且对毒性铜绿微囊藻的抑制作用要显著高于对斜生栅藻;(2)所建立的抑藻模型可有效表征和预测在一定范围内的产毒铜绿微囊藻、斜生栅藻及其混合藻在普生轮藻浸提液胁迫下藻密度随时间变化的规律;通过这些模型可方便地计算出实验期间任何时间节点上普生轮藻浸提液的半抑制浓度(EC50)、最小有效浓度(MIC)等指标的预测值、混合藻在小生境中相对稳定时的预测值等等。该研究可为实际抑藻的方案制定和实施提供有价值的数据支撑和参考,具有一定的理论与应用意义。
Study concerning the allelopathic inhibition of water bloom-forming algae by aquatic macrophyte is one of the hot topics in aquatic ecology. Researches on the mathematic model of allelopathic algae control received less attention so far. The present study investigated the inhibitory effects of Chara vulgaris extracts on Microcystis aeruginosa, a toxin-producing algae, and on Scenedesmus obliquus Ktz (single and combined). Mathematic models were constructed based on the data obtained during experimentation, the characteristics of data, the traditional Logistic model and Lotka-Volterra model by using the infinitestimal method in terms of the inhibitory effect of the extracts on M aeruginosa, S. obliquus and their mixtures, respectively. The results showed that, (1) C.vulgaris extracts inhibited significantly both M. aeruginosa, S. obliquus and their mixture, and M. aeruginosa was more sensitive to the inhibition of Chara vulgaris extracts than S. obliquus. (2) The constructed mathematical models can effectively characterize and predict, to a certain degree, the exposure time-dependent dynamics of algal density of M. aeruginosa, S. obliquus and their mixture in the context of Chara vulgaris extracts. According to these models the predicted value of the maximal 50% effective concentration (EC50), and the minimal inhibitory concentration (MIC) at any time point during experimentation, as well as the predicted value of algae mixture in the relatively stable microhabitat. The traditional Logistic model that describes the growth of a single population can characterize only the trend of population growth in a certain spatial scale, but can't calculate quantitatively the biomass of a population under stress at any time point. The Lotka-Volterra model can describe the quantitative relationship of two competitive populations, but can not solve thoroughly the problem of exclusion and coexistence in the context of inhibitors and other distracting agents, which makes it hard to get the biomass at any time point. Our group ever examined the inhibitory model of a single or two kinds of allelochemicals against a single algae. The present study constructed a mathematical model concerning the inhibitory effect of the etracts of aquatic macrophyte against a single algae or algae mixture by using the infinitesimal method based on the traditional Logistic model and Lotka-Volterra model mentioned above. These models can well solve the calculation problem of algal biomass of populations under stress, or two competitive populations. As a result, the study can provide valuable data support and reference for the complex biological problems and for the establishment and implementation of actual algal inhibition plan by integrating mathematics into biology.
出处
《生态学报》
CAS
CSCD
北大核心
2014年第6期1527-1534,共8页
Acta Ecologica Sinica
基金
国家自然科学基金项目(31170443)
安徽省高校省级自然科学研究重点项目(KJ2013A139)
关键词
普生轮藻
铜绿微囊藻
斜生栅藻
抑藻效应
数学模型
Chara vulgaris
Microcystis aeruginosa
Scenedesmus obliquus
effect of algal inhibition
mathematic model