mathematical model

Enigmatic persistence of dissolved organic matter in the oceans

Marine dissolved organic matter (DOM) contains more carbon than the combined stocks of Earth’s biota. Organisms in the ocean continuously release a myriad of molecules that become food for microheterotrophs, but, for unknown reasons, a residual …

Coexistence patterns and diversity in a trait-based metacommunity on an environmental gradient

The dynamics of trait-based metacommunities have attracted much attention, but not much is known about how dispersal and spatial environmental variability mutually interact with each other to drive coexistence patterns and diversity. Here, we present …

Story behind the paper: Optimal stock-enhancement of a spatially distributed renewable resource

When the watering can principle is not a good idea to manage your ecosystem

Diminished growth and vitality in juvenile Hydractinia echinata under anticipated future temperature and variable nutrient conditions

In a warming climate, rising seawater temperatures and declining primary and secondary production will drastically affect growth and fitness of marine invertebrates in the northern Atlantic Ocean. To study the ecological performance of juvenile …

Optimal Planting Distance in a Simple Model of Habitat Restoration With an Allee Effect

Ecological restoration is emerging as an important strategy to improve the recovery of degraded lands and to combat habitat and biodiversity loss worldwide. One central unresolved question revolves around the optimal spatial design for outplanted …

Optimal stock–enhancement of a spatially distributed renewable resource

We study the economic management of a renewable resource, the stock of which is spatially distributed and moves over a discrete or continuous spatial domain. In contrast to standard harvesting models where the agent can control the take-out from the …

Shape matters: the relationship between cell geometry and diversity in phytoplankton

We analyse data on marine unicellular phytoplankton, exhibiting an astounding diversity of cell sizes and shapes. We quantify the variation in size and shape and explore their effects on taxonomic diversity. We find that cells of intermediate volume exhibit the greatest shape variation, with shapes ranging from oblate to extremely elongated forms, while very small and large cells are mostly compact. We show that cell shape has a strong effect on phytoplankton diversity, comparable in magnitude to the effect of cell volume, with both traits explaining up to 92% of the variance in phytoplankton diversity. Species richness decays exponentially with cell elongation and displays a log-normal dependence on cell volume, peaking for compact cells of intermediate volume.

Calculation of epidemic arrival time distributions using branching processes

The rise of the World Airline Network over the past century has led to sharp changes in our notions of “distance” and “closeness”—in terms of both trade and travel, but also (less desirably) with respect to the spread of disease. When novel pathogens …

Microbial physiology governs the oceanic distribution of dissolved organic carbon in a scenario of equal degradability

Dissolved organic carbon (DOC) forms one of the largest active organic carbon reservoirs on Earth and reaches average radiocarbon ages of several thousand years. Many previous large scale DOC models assume different lability classes (labile to …

The Gossip Paradox: why do bacteria share genes?

Bacteria, in contrast to eukaryotic cells contain two types of genes: chromosomal genes that are fixed to the cell, and plasmids that are mobile genes, easily shared to other cells. The sharing of plasmid genes between individual bacteria and between …