Related Experiment Video
Updated: Jul 19, 2026
11:57
Ecosystem Fabrication (EcoFAB) Protocols for The Construction of Laboratory Ecosystems Designed to Study Plant-microbe Interactions
Published on: April 10, 2018
A mathematical model of plants as ecosystem engineers
E Gilad1, J von Hardenberg, A Provenzale
1Department of Physics, Ben-Gurion University, Beer Sheva 84105, Israel. gilade@bgu.ac.il
Journal of Theoretical Biology
|September 30, 2006
Summary
This study models how shrubs engineer dryland ecosystems by creating water-rich patches. Different water feedbacks reveal a trade-off between a plant
Area of Science:
- Ecology
- Mathematical Biology
- Dryland Ecosystems
Background:
- Ecosystem engineers, like shrubs, shape plant communities in water-limited environments.
- Shrubs form mesic patches, creating habitats for other species.
- Understanding these dynamics is crucial for dryland ecosystem management.
Purpose of the Study:
- To develop a mathematical model for ecosystem engineering by woody plants in drylands.
- To investigate the feedbacks between plant biomass and water dynamics.
- To analyze the formation of vegetation patterns and their impact on herbaceous species.
Main Methods:
- A mathematical model simulating water uptake by roots and increased water infiltration.
- Analysis of feedback mechanisms driving vegetation pattern formation.
- Examination of soil-water distributions (hump-shaped and ring-shaped) at the patch level.
Main Results:
- Identified contrasting effects of water uptake (depletion) and infiltration (increase) on soil water.
- Demonstrated a trade-off between a plant species' engineering capacity and its resilience.
- Characterized distinct soil-water distributions creating unique niches for herbaceous plants.
Conclusions:
- Shrub engineering in drylands involves complex water feedbacks influencing pattern formation.
- The relative strength of these feedbacks determines species' engineering capacity and resilience.
- Landscape-level pattern changes can feedback to influence single-patch engineering strength.
Related Concept Videos
01:27Growth Models with Integration: Problem Solving
In population modeling, integration provides a systematic way to determine accumulated quantities from known rates of change. One such application arises in ecology, where the total weight of a fish population in a body of water is referred to as its biomass. When the rate of growth of this biomass is known as a function of time, calculus can be used to determine the total biomass at a future date.Growth Rate and Biomass FunctionLet the growth rate of the fish population be represented by a...
01:25Modeling with Differential Equations
Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...
01:21Design Example: Creating a Hydraulic Model of a Dam Spillway
Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
01:18Plant Tissues
Plants are multicellular eukaryotes with tissue systems made of various cell types that carry out specific functions. Different tissues work together to perform a unique function and form an organ. Organs working together form organ systems. Vascular plants have two distinct organ systems: a shoot system and a root system. The shoot system consists of two portions: the vegetative (non-reproductive) parts of the plant, such as the leaves and the stems, and the reproductive parts of the plant,...
01:26Exponential Equations for Modeling Growth
Exponential models are essential for describing rapid, multiplicative changes in natural systems, such as population growth. When a population doubles at regular intervals, the process can be modeled using a suitable base. For instance, a bacterial culture that doubles every three hours follows the model n(t)=n0⋅2t/3, where n(t) is the population at the time t.A more general model uses the natural base e, especially for continuous growth. This takes the form n(t)=n0⋅ert, where r is the relative...
02:40Epiphytes, Parasites, and Carnivores
Plants often form mutualistic relationships with soil-dwelling fungi or bacteria to enhance their roots’ nutrient uptake ability. Root-colonizing fungi (e.g., mycorrhizae) increase a plant’s root surface area, which promotes nutrient absorption. While root-colonizing, nitrogen-fixing bacteria (e.g., rhizobia) convert atmospheric nitrogen (N2) into ammonia (NH3), making nitrogen available to plants for various biological functions. For example, nitrogen is essential for the biosynthesis of the...