The structural nestedness has important effects on the ecosystem's robustness, stability, and species diversity, but quantitative analysis tools are still lacking at present. According to the competitive and mutually beneficial interactions among ecosystems species, we designed a quantitative analysis tool of nestedness on ecosystems metrics by mapping the ecosystems into symbolic networks and calculating the network's competitive nestedness and mutualistic nestedness with an overlap metric, respectively. The results of the real system and network models show that in the competitive and mutualistic coupling network, the competitive nestedness reduces the biodiversity and robustness of the network, but the mutualistic nestedness has the opposite effect.
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