Modeling Marine Harmful Algal Blooms: Current Status and Future Prospects

Flynn, Kevin J.; McGillicuddy, Dennis J.

doi:10.1002/9781118994672.ch3

Cited by 30 publications

(28 citation statements)

References 61 publications

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“…Taking into account at the same time the full life cycle of the dinoflagellates, the hydrodynamic and the environmental model is too complex. Interested readers can refer for the vast biological literature (see for example [1,10,4,9]). Hence, we make the following assumptions:…”

Section: 1mentioning

confidence: 99%

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A mathematical model for marine dinoflagellates blooms

Dambrine

Puig²,

Vallet³

2021

Discrete &Amp; Continuous Dynamical Systems - S

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We present a model for the life cycle of a dinoflagellate in order to describe blooms. We prove the mathematical well-posedness of the model and the possibility of extinction in finite time of the alga form meaning that the full population is under the cysts from. Contents 1. Introduction 2. The model. 2.1. The compartments and the notations. 2.2. Deriving the equations for each compartment. 3. Assumptions on the parameters and comments. 4. Boundary conditions for the alga. 4.1. The final system of equations. 5. Study of the system (19): the results. 5.1. Strategy for solving (19). 5.2. Main results. 6. Proofs 6.1. Equations for the resting, sedimenting and mature cysts. 6.2. Dealing with the equations for the alga. Proof of theorem 5.5 7. Testing the model: About the extinction of the alga form. 7.1. About extinction in finite time. 7.2. Proof of theorem 7.1.

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Section: 1mentioning

confidence: 99%

“…The modelling of such event is therefore an important question in order to monitor such events. Existing models written by biologists ( [4,9]) focus on the bloom events and do not try to describe the full life-cycle of the dinoflagellate.…”

mentioning

confidence: 99%

A mathematical model for marine dinoflagellates blooms

Dambrine

Puig²,

Vallet³

2021

Discrete &Amp; Continuous Dynamical Systems - S

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“…The need in individual-based modelling in microbial research has already been discussed in the literature (Kreft et al, 2013;Hellweger et al, 2016), but it has not yet been widely applied in practice, especially in modelling of dinoflagellate populations and harmful algal blooms Flynn and McGillicuddy, 2018). More single-cell data describing heterogeneity of natural and laboratory microbial populations are required to ensure reliable ecological modelling in a changing Fig.…”

Section: Intrapopulation Heterogeneity and Its Relevance To Ecological Modellingmentioning

confidence: 99%

Studies of bloom-forming dinoflagellates Prorocentrum minimum in fluctuating environment: contribution to aquatic ecology, cell biology and invasion theory

Skarlato¹,

Telesh²,

Matantseva³

et al. 2018

Protistology

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“…In conjunction with the growing recognition that harmful algal blooms (HABs) are promoted by increasing nutrient loads to marine and freshwaters (e.g., Anderson et al, 2002;Glibert et al, 2005;Heisler et al, 2008;Glibert and Burford, 2017), there is also an enhanced appreciation for the importance of mixotrophy in the nutrition of many HAB taxa (Jeong et al, 2005a,b;Burkholder et al, 2008;Stoecker et al, 2017). The complexities of understanding the dynamics of HABs dominated by mixotrophs compound the already difficult study of system regulation by simple autotrophic physiology (Flynn, 2009;Mitra and Flynn, 2010;Ghyoot et al, 2017;Flynn and McGillicuddy, 2018;. For instance, some mixotroph species are primarily autotrophic but ingest prey under light limitation or conditions of nutrient limitation or imbalance, while some others appear to be primarily heterotrophic but photosynthesize under certain conditions by retaining chloroplasts from their prey (Stoecker, 1998).…”

Section: Introductionmentioning

confidence: 99%

“…Only a few physiological experiments (Lundgren et al, 2016;Lin et al, 2017)-and even fewer model constructsconsider the feedback function of rates of change during mixotrophic feeding, the nutritional status of both predator and prey, and linkages to nutrient physiological interactions (Mitra and Flynn, 2006;Flynn, 2010). At present, predictive capabilities that include the role of mixotrophy in bloom formation are just beginning to be developed (Flynn, 2005(Flynn, , 2010Glibert et al, 2010;Mitra et al, 2014Mitra et al, , 2016Flynn and McGillicuddy, 2018;.…”

Section: Introductionmentioning

confidence: 99%

Simulating Effects of Variable Stoichiometry and Temperature on Mixotrophy in the Harmful Dinoflagellate Karlodinium veneficum

et al. 2018

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Results from a dynamic mathematical model are presented simulating the growth of the harmful algal bloom (HAB) mixotrophic dinoflagellate Karlodinium veneficum and its algal prey, Rhodomonas salina. The model describes carbon-nitrogen-phosphorus-based interactions within the mixotroph, interlinking autotrophic and phagotrophic nutrition. The model was tuned to experimental data from these species grown under autotrophic conditions and in mixed batch cultures in which nitrogen:phosphorus stoichiometry (input molar N:P of 4, 16, and 32) of both predator and prey varied. A good fit was attained to all experimentally derived carbon biomass data. The potential effects of temperature and nutrient changes on promoting growth of prey and thus K. veneficum bloom formation were explored using this simulation platform. The simulated biomass of K. veneficum was highest when they were functioning as mixotrophs and when they consumed prey under elevated N:P conditions. The scenarios under low N:P responded differently, with simulations showing larger deviation between mixotrophic and autotrophic growth, depending on temperature. When inorganic nutrients were in balanced proportions, lower biomass of the mixotroph was attained at all temperatures in the simulations, suggesting that natural systems might be more resilient against Karlodinium HAB development in warming conditions if nutrients were available in balanced proportions. These simulations underscore the need for models of HAB dynamics to include consideration of prey; modeling HAB as autotrophs is insufficient. The simulations also imply that warmer, wetter springs that may bring more N with lower N:P, such as predicted under climate change scenarios for Chesapeake Bay, may be more conducive to development of these HABs. Prey availability may also increase with temperature due to differential growth temperature responses of K. veneficum and its prey.

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Modeling Marine Harmful Algal Blooms: Current Status and Future Prospects

Cited by 30 publications

References 61 publications

A mathematical model for marine dinoflagellates blooms

A mathematical model for marine dinoflagellates blooms

Studies of bloom-forming dinoflagellates Prorocentrum minimum in fluctuating environment: contribution to aquatic ecology, cell biology and invasion theory

Simulating Effects of Variable Stoichiometry and Temperature on Mixotrophy in the Harmful Dinoflagellate Karlodinium veneficum

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