![](https://cer.blogs.auckland.ac.nz/files/2018/05/CeRTitleOtherWay-1jxwn5m.png)
Using simple models to explore complex dynamics: A case study of macomona liliana (wedge-shell) and nutrient variations
K.R.Bryan, G. Coco, S.T. Thrush, C.A Pilditch, School of Environment
![](https://www.eresearch.auckland.ac.nz/files/2020/01/parameterising-1.jpg)
![](https://www.eresearch.auckland.ac.nz/files/2020/01/parameterising-2-1.jpg)
Introduction to tipping points: A dynamical tipping point
Ecosystem behaviour can be non-linear which means that small changes in environmental conditions can cause disproportionately large changes in response leading to unexpected regime shifts or catastrophic collapses. It also means that the different states can occur when the environmental conditions are the same (alternative stable states). Multiples stressors (eg, sediment change or nutrient loading) can further accentuate the nonlinearities in the system ultimately leading to loss of resilience and increased susceptibility to change.
A dramatic response forced event
Tipping or regime shifts are not the same as catastrophic changes to ecosystems following extreme events such as e.g. floods or volcanic eruptions.
How are simple models useful for exploring change and assessing risk
- Defining the conditions leading to a tipping point, e.g. Increase in variability
- Differentiating between tipping points and a delayed response to change.
- Determining what happens during a tipping event so that key pathways can be made more resilient.
- Determining which aspects should be restored, and the potential response to restoration.
The simple system that we have chosen to model is the interaction between Macomona liliana and microphytobenthos (MPB). Macomona. Macomona live within the sediments, but feed at the surface. The detritus and nutrients that they produce within the sediments can only reach the surface by porewater movement or Mcaomona pumping behaviour. This can limit the supply of nutrients to MPB.
![](https://www.eresearch.auckland.ac.nz/files/2020/01/Structure-of-the-model.jpg)
Preliminary results: Alternative States
![](https://www.eresearch.auckland.ac.nz/files/2020/01/high-nutrient.jpg)
![](https://www.eresearch.auckland.ac.nz/files/2020/01/low-nutrients.jpg)
![](https://www.eresearch.auckland.ac.nz/files/2020/01/sediment-composition.jpg)
High nutrient: Shifting regimes
The stable MPB and Macomona biomass is established at the carrying capacity of the system. After some time, the nutrients accumulate at depth and replenishment to the surface is limited by the flushing rate. These nutrients eventually become toxic and cause the Macomona population to collapse. Reduced grazing pressure and nutrient supply means the MPB population establishes at a new level.
Low nutrients: tight non-linear coupling
In a low nutrient environment, the MPB quickly use the surface nutrient supply, and their biomass collapses. The Macomona follows after a short time lag. The detrital pool breaks down, and supplies a new source of nutrient, which causes MPB to recover. Gradually through time, the oscillations diminish. Eventually a stable state will be established.
Sediment composition change: multiple stressors cause catastrophic shifts
Changes toward muddier sediments feed back into reducing the Macomona carrying capacity. The increasing Macomona detrital pool eventually leads to toxic levels of nutrients at depth, ultimately removing Macomona completely. The MPB re-establishes subsisting on external nutrients and its own regenerated supply.
![](https://www.eresearch.auckland.ac.nz/files/2020/01/high-nutrient-shift.jpg)
![](https://www.eresearch.auckland.ac.nz/files/2020/01/low-nutrients-shift.jpg)
![](https://www.eresearch.auckland.ac.nz/files/2020/01/sediment-composition-change.jpg)
Next Step
- Improvde parameterisations from field experiements
- Analyse observations to detect similar state changes
Acknowledgement
- Funding from Sustainable Seas is gratefully acknowledged
- Judi Hewitt,Rebecca Gladstone-Gallagher, Georgina Flowers, Julie Hope, Sally Woodin and Dave Weathey for insightful discussions.
Nick Young from The Centre for eResearch contributed an online, interactive, ecological simulator for the interactions between Macomona liliana and Microphytobenthos. Click here.
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