Wang Hao, Jiang Lin, Weitz Joshua S
School of Mathematics, Georgia Institute of Technology, Atlanta, GA, USA.
FEMS Microbiol Ecol. 2009 Aug;69(2):170-9. doi: 10.1111/j.1574-6941.2009.00699.x. Epub 2009 Apr 29.
There is widespread empirical evidence that protist grazing on bacteria reduces bacterial abundances but increases bacteria-mediated decomposition of organic matter. This paradox has been noted repeatedly in the microbiology literature but lacks a generally accepted mechanistic explanation. To explain this paradox quantitatively, we develop a bacteria-grazer model of organic matter decomposition that incorporates protozoa-driven nutrient recycling and stoichiometry. Unlike previous efforts, the current model includes explicit limitation, via Liebig's law of minimum, by two possible factors, nutrient and carbon densities, as well as their relative ratios in bacteria and grazers. Our model shows two principal results: (1) when the environment is carbon limiting, organic matter can always be decomposed completely, regardless of the presence/absence of grazers; (2) when the environment is nutrient (such as nitrogen) limiting, it is possible for organic matter to be completely decomposed in the presence, but not absence, of grazers. Grazers facilitate decomposition by releasing nutrients back into the environment, which would otherwise be limiting, while preying upon bacteria. Model analysis reveals that facilitation of organic matter decomposition by grazers is positively related to the stoichiometric difference between bacteria and grazers. In addition, we predict the existence of an optimal density range of introduced grazers, which maximally facilitate the decomposition of organic matter in a fixed time period. This optimal range reflects a trade-off between grazer-induced nutrient recycling and grazer-induced mortality of bacteria.
有广泛的经验证据表明,原生生物对细菌的捕食会降低细菌丰度,但会增加细菌介导的有机物分解。这种矛盾在微生物学文献中已被多次提及,但缺乏一个普遍接受的机理解释。为了定量解释这一矛盾,我们建立了一个有机物分解的细菌-捕食者模型,该模型纳入了原生动物驱动的养分循环和化学计量学。与之前的研究不同,当前模型通过李比希最小定律明确考虑了两个可能的限制因素,即养分和碳密度,以及它们在细菌和捕食者中的相对比例。我们的模型显示了两个主要结果:(1)当环境受碳限制时,无论是否存在捕食者,有机物总能被完全分解;(2)当环境受养分(如氮)限制时,在有捕食者存在但无捕食者时,有机物有可能被完全分解。捕食者通过将养分释放回原本会成为限制因素的环境中,同时捕食细菌,从而促进分解。模型分析表明,捕食者对有机物分解的促进作用与细菌和捕食者之间的化学计量差异呈正相关。此外,我们预测存在一个引入捕食者的最佳密度范围,该范围能在固定时间段内最大程度地促进有机物分解。这个最佳范围反映了捕食者诱导的养分循环与捕食者诱导的细菌死亡之间的权衡。