MEPS

Marine Ecology Progress Series

MEPS is a leading hybrid research journal on all aspects of marine, coastal and estuarine ecology. Priority is given to outstanding research that advances our ecological understanding.

Online: ISSN 1616-1599

Print: ISSN 0171-8630

DOI: https://doi.org/10.3354/meps

Impact Factor2.1 (JCR 2025 release)

Article Acceptance Rate52.2% (2024)

Average Time in Review216 days (2024)

Total Annual Downloads2.961.946 (2025)

Volume contents
Mar Ecol Prog Ser 640:63-77 (2020)

Empirically based minimalistic model for representing seasonal phytoplankton dynamics

ABSTRACT: Supported by chl a satellite data in the North Atlantic (and phytoplankton division rates computed from that data), the disturbance-recovery hypothesis for the initiation of phytoplankton blooms posits that the change in chl a concentration is proportional to the relative change in the phytoplankton division rate. We used this hypothesis, introduced by Behrenfeld, as a principal model assumption and constructed a non-autonomous ordinary differential equation model for seasonally varying chl a concentrations. Our quantitative comparison between model simulations and in situ measurements of chl a and primary production collected from a Swedish fjord was 2-fold: first, using approximate Bayesian computations, we found distributions of values for the 3 model parameters that best described the chl a data. Then, we validated our model by comparing the simulated (not fitted) division rate to the division rate determined from the data. Our minimalistic model was able to capture (1) the yearly trend in the chl a concentration, (2) the pattern of growth and decline in the phytoplankton division rate, and (3) the decreasing trend in the relative change of the division rate exhibited in the data for several individual years. Moreover, the modeling efficiency was positive (between 0.3 and 0.9 with an average of 0.63) for all 11 yr included in this study. We conclude that the change in chl a concentration being proportional to the relative change in the division rate is a possible explanation for the bloom dynamics in the Gullmar fjord. In addition, our work provides a simple and empirically based differential equation for representing yearly dynamics of primary production, e.g. for generating ecological hypotheses using models of other trophic levels.

KEYWORDS

Sofia H. Piltz (Corresponding Author)

  • National Institute of Aquatic Resources, Technical University of Denmark, Kemitorvet, Bygning 202, 2800 Kongens Lyngby, Denmark
  • Department of Applied Mathematics and Computer Science, Technical University of Denmark, Asmussens allé Bygning 303B, 2800 Kongens Lyngby, Denmark
  • Department of Mathematics, University of Michigan, East Hall room 2074, 530 Church Street, Ann Arbor, Michigan 48109-1043, USA
piltz@umich.edu

Poul G. Hjorth (Co-author)

  • Department of Applied Mathematics and Computer Science, Technical University of Denmark, Asmussens allé Bygning 303B, 2800 Kongens Lyngby, Denmark

Øystein Varpe (Co-author)

  • Department of Arctic Biology, University Centre in Svalbard, 9171 Longyearbyen, Norway
  • Akvaplan-niva, Fram Centre, 9296 Tromsø, Norway