Optimal allocation of two resources in annual plants

Area of Science:

• Ecology
• Plant Physiology
• Mathematical Biology

Background:

• Plant fitness is often defined by reproductive output.
• Annual plants are assumed to grow to maximize their fitness.
• Resource allocation is a key factor in plant growth and reproduction.

Purpose of the Study:

• To model and understand optimal resource allocation strategies in annual plants.
• To extend classical resource allocation models to include carbohydrates and mineral nutrients.
• To determine how plants can maximize fruit production throughout their growing season.

Main Methods:

• Utilized optimal control theory to model plant resource allocation.
• Developed a numerical scheme to implement the plant growth model.
• Extended the Iwasa and Roughgarden model to include dual resource types (carbohydrates and minerals).

Main Results:

• Optimal plant fitness is achieved through a growth strategy involving initial mixed vegetative and reproductive phases, transitioning to reproductive-only growth.
• Resource allocation strategies are sensitive to initial environmental and physiological conditions.
• Optimal growth patterns tend to converge diverse initial states to similar biomass configurations by the season's end.

Conclusions:

• The study provides insights into the dynamic resource allocation strategies that maximize annual plant fitness.
• Optimal growth is a balance between resource acquisition and reproductive output.
• Environmental conditions significantly influence the optimal growth trajectory for individual plants.