期刊
ICES JOURNAL OF MARINE SCIENCE
卷 77, 期 4, 页码 1556-1572出版社
OXFORD UNIV PRESS
DOI: 10.1093/icesjms/fsaa067
关键词
bio-optical control; nutrient phytoplankton model; stability analysis; steady-state resilience
资金
- Simons Collaboration on Computational Biogeochemical Modeling of Marine Ecosystems/CBIOMES [549947]
- OceanColour Climate-Change Initiative (OC-CCI) of the European Space Agency
- Croatian Ministry of Science
- Croatian Science Foundation under the project MAUD [9849]
- NERC [nceo020006, pml010008] Funding Source: UKRI
We seek to understand, in mathematical terms, the causes of stability in marine phytoplankton biomass. The stability of a simple, mixed-layer-phytoplankton-nutrient model is analysed. Primary production is modelled as a non-linear function of nutrient concentration and light. The steady state of the model system is demonstrated to be stable with a linear relation between steady state biomass and nutrients. The causes of stability are shown to be shading and nutrient limitation. When only light limitation and shading are taken into account, the steady state is a sink node. However, when nutrient limitation is taken into account, without shading, the steady state can be either a sink node or a spiral sink. The transition from a sink node to a spiral sink occurs when normalized mixed layer production becomes larger than the equivalent influx rate of nutrients into the mixed layer, demonstrating that nutrient limitation of production is a necessary, but not a sufficient condition for oscillatory solutions. In both cases, the characteristic return times are derived explicitly. The effect of shading is found to cause the depression of the steady state towards lower biomass than would otherwise be attainable. The influence of mixed-layer depth variation on stability is also analysed.
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