Modeling of Cyanobacteria Vertical Migration

Introduction

Cyanobacteria, also known as blue-green algae, are diverse photosynthetic bacteria that play a crucial role in Earth’s ecosystems. These photosynthetic bacteria are pivotal in our environment, contributing to oxygen production and soil enrichment. However, in specific conditions, cyanobacteria growth can result in harmful algae blooms (HABs) that disrupt aquatic life and pose health risks to humans. This blog explores the significance of cyanobacteria, their vertical migration patterns, and how modeling tools can help manage and mitigate their impact.

The Importance of Cyanobacteria

Cyanobacteria are found in various habitats, from freshwater lakes to marine environments and terrestrial ecosystems. Through photosynthesis, they harness sunlight and carbon dioxide to produce organic matter, significantly boosting atmospheric oxygen levels. These remarkable microorganisms also fix atmospheric nitrogen, enhancing soil fertility and supporting other organisms’ growth.

Figure 1. Franklin lock on the Caloosahatchee River

Vertical Migration: Specialized Adaptation and Consequences

Certain cyanobacteria species exhibit vertical migration in water columns, with Microcystis aeruginosa, Oscillatoria agardhii, and Anabaena flos-aqua examples. Vertical migration allows the bacteria to access light-rich surface layers for photosynthesis and nutrient-rich lower layers for sustenance.

However, under specific circumstances, cyanobacteria lose this vertical stability, leading to the formation of HABs. These blooms diminish sunlight penetration, deplete oxygen levels, and harm aquatic life. Moreover, some cyanobacteria produce toxic cyanotoxins that can contaminate water supplies, posing health risks like liver damage, skin irritation, and neurological effects.

Simulation of Vertical Migration Using Modeling Tools

Software tools have been developed to simulate the vertical migration of algae and help researchers and environmentalists manage and mitigate cyanobacteria-related issues. An example of such a tool is EFDC+ Explorer (EEMS), which offers four ways to specify the settling velocity of cyanobacteria and any other algal species for vertical migration modeling:

  • Constant Velocity: The first approach assumes that the algae migrate vertically with a constant settling velocity independent of time and location. The user defines the constant settling velocity (m/day) as a model input parameter.
  • Daily Cycle Velocity: The second approach assumes that the algae migrate vertically on a daily cycle, representing the variations in buoyancy of cyanobacteria colonies driven by changes in light intensity, based on Overman et al. (2022).
  • Daily Cycle Velocity with Depth-varying Light Effects: The third approach extends the daily cycle velocity approach to include the variation of light effects over water depth, based on the Belov & Giles (1997) approach.
  • Dynamic Velocity: The final approach offers a dynamic velocity function that captures the response of cyanobacteria to variations in solar irradiance based on Visser et al. (1997). In this option, dynamically varying settling velocity is computed by Stokes’s law based on the time-varying density of the cyanobacteria cell. Specifically, the Visser et al. (1997) method used in this option defined the relationships between cell density changes and photon irradiance based on laboratory experiment data.

Test case

A simple test model was set up to demonstrate the cyanobacteria vertical migration option in EEMS. The model consists of a single cell horizontally and 20 layers vertically. The results demonstrate the tool’s ability to accurately depict the cyanobacteria vertical migration due to changes in light levels. A vertical slice, or 2DV animation in Figure 2 below, clearly shows the vertical movement of a colony of cyanobacteria using the “Dynamic Velocity” option.

Figure 2. Animation showing the vertical movement of a colony of cyanobacteria

To better see the impact of various option, the animation in Figure 3, below shows the results of the test model’s simulation of cyanobacteria vertical migration using the four available options available in EEMS. It can be seen that the results are similar between the “Daily Cycle Velocity” and “Daily Cycle Velocity with Depth-varying Light Effects” options since they use very similar equations. In contrast, the results from the “Dynamic Velocity” and “Constant Velocity” methods notably differ.

Figure 3. Animation showing a comparison of vertical movement using different options

If you want to know more about the software tools described here, you can read more on the EEMS website. If you want to learn more about matters discussed in this blog, contact the DSI team today.

Talk to the experts

Paul Craig

Paul Craig, PE

President and Senior Consultant

Tran Duc Kien

Tran Duc Kien, Ph.D.

Water Resources Engineer

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