Spatio-temporal behaviour of the deep chlorophyll maximum in Mediterranean Sea: Development of a stochastic model for picophytoplankton dynamics

Denaro, G.; Valenti, Davide; Cognata, A. La; Spagnolo, Bernardo; Bonanno, A.; Basilone, Gualtiero; Mazzola, S.; Zgozi, S.; Aronica, Salvatore; Brunet, Christophe

doi:10.1016/j.ecocom.2012.10.002

Cited by 107 publications

(85 citation statements)

References 80 publications

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“…Since most ecosystems, if not all, are affected by environmental noise [5][6][7][8][9][10], the emergence of irregular spatial patterns might be very likely to occur in real ecological communities.…”

Section: Discussionmentioning

confidence: 99%

“…It has been shown that ecological systems even in perfectly homogeneous surroundings can exhibit inhomogeneous patterns [2][3][4]. Due to widespread environmental noise [5][6][7][8][9][10], no ecological system is really homogeneous. Thus, exploring what contributes to the emergence of self-organized spatial patterns undoubtedly aids the understanding of pattern formation.…”

Section: Introductionmentioning

confidence: 99%

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Delay-driven irregular spatiotemporal patterns in a plankton system

Tian

Zhang

2013

Phys. Rev. E

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An inhomogeneous distribution of species density over physical space is a widely observed scenario in plankton systems. Understanding the mechanisms resulting in these spatial patterns is a central topic in plankton ecology. In this paper we explore the impact of time delay on spatiotemporal patterns in a prey-predator plankton system. We find that time delay can trigger the emergence of irregular spatial patterns via a Hopf bifurcation. Moreover, a phase transition from a regular spiral pattern to an irregular one was observed and the latter gradually replaced the former and persisted indefinitely. The characteristic length of the emergent spatial pattern is consistent with the scale of plankton patterns observed in field studies.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Delay-driven irregular spatiotemporal patterns in a plankton system

Tian

Zhang

2013

Phys. Rev. E

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“…Accordingly, in this paper we study the spatio-temporal behaviour of phytoplankton populations by using a stochastic model. This allows the reproduction of the experimental profiles of the chlorophyll a concentration collected during dierent oceanographic surveys [3,4,15,[17][18][19].…”

Section: J Stat Mech (2016) 054044mentioning

confidence: 99%

“…As a first step, we solve the equations of the stochastic model by fixing the noise intensity at a constant value during the whole period investigated, according to the procedure followed in previous works [4,[15][16][17][18]. Afterwards, we analyse the eects of environmental noise on the phytoplankton dynamics in the presence of a periodical behaviour of the noise intensity, which mimics the seasonal oscillations of the random perturbations.…”

Section: J Stat Mech (2016) 054044mentioning

confidence: 99%

“…During recent years, it has been shown that seasonal changes in environmental variables can modify the vertical distributions of phytoplankton abundance in such a way to cause a passage from a stability condition with a deep chlorophyll maximum (DCM) to another stability condition with an upper chlorophyll maximum (UCM), and vice-versa [3,4,[15][16][17][18][19]. In general, this passage can be explained by the nature of marine ecosystems, which are open systems characterized by nonlinear interactions between their parts and external perturbations, both deterministic and random, generated by hydrological and physical variables [4,16,17,19], as often occurs in biological and complex systems [20][21][22][23][24][25][26][27][28][29][30][31][32][33].…”

Section: J Stat Mech (2016) 054044mentioning

confidence: 99%

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The role of noise on the steady state distributions of phytoplankton populations

et al. 2016

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Abstract. The spatio-temporal behaviour of total chlorophyll concentration is investigated in the middle of the Tyrrhenian Sea by using a stochastic approach. The study is based on a reaction-diusion-taxis model, which is used to analyse the dynamics of five phytoplankton groups, responsible for about 80% of the total chlorophyll a inside the euphotic zone of the water column. The analysis is performed by considering: (i) the intraspecific competition of the phytoplanktonic groups for limiting factors, i.e. light intensity and nutrient concentration, (ii) the seasonal changes of environmental variables, and (iii) the random fluctuations of the components of the velocity field and temperature. Specifically, we investigate the eects of external perturbations, both deterministic and random, on the dynamics of phytoplankton populations, by inserting a term of multiplicative noise into the dierential equation of the nutrient dynamics. the chi-square test, show that the vertical distributions of total chlorophyll concentration are in a good agreement with the experimental data. Finally, we observe that the high intensity of environmental noise strongly modifies the steady spatial distributions of two phytoplankton groups usually localized in deeper layers, causing algal blooms in surface water.

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Analysis of ecological shifts in the two‐age structured population model with Allee effect and environmental noise

Bashkirtseva

Valenti

Spagnolo

2020

Math Methods in App Sciences

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We study noise-induced transformations in the two-age structured population model with the Allee effect and environmental fluctuations. In this bistable model, ecological shifts are associated mathematically with random transitions between basins of coexisting attractors. The following phenomena are revealed and studied: (i) noise-induced extinction, (ii) stochastic regeneration, and (iii) excitement of random mixed-mode oscillations. Constructive abilities of the analytical method of confidence domains are demonstrated in the parametric study of these phenomena.

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Spatio-temporal behaviour of the deep chlorophyll maximum in Mediterranean Sea: Development of a stochastic model for picophytoplankton dynamics

Cited by 107 publications

References 80 publications

Delay-driven irregular spatiotemporal patterns in a plankton system

Delay-driven irregular spatiotemporal patterns in a plankton system

The role of noise on the steady state distributions of phytoplankton populations

Analysis of ecological shifts in the two‐age structured population model with Allee effect and environmental noise

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