Pollinator functional response and plant population dynamics: Pollinators as a limiting resource

Summary During recent years, much work has focused on which factors limit the reproductive success in plants. Several studies show a strong influence of either resource limitation, pollen limitation or a combined effect of both. The theoretical arguments for resource limitation are abundant, but there has been very little work done concerning the effect of pollinator availability. In this paper we construct a model to study how the reproductive success in plants is influenced by the foraging behaviour of the pollinators. The pollinator population is assumed to have a constant population density. A functional response function for the pollinators is derived. It is similar to a Holling type II functional response. It is shown that, since the pollinators are regulated by factors not included in the model and their capability to pollinate is limited by the functional response, this is sufficient for regulating the plant population. There also exists a threshold condition for the persistence of the plant population that depended on the search rate of the pollinators and the demographic parameters of the plant population. If this threshold condition is not satisfied the plant population cannot persist and will become extinct. If the condition is satisfied the plant population grows until it is limited at the equilibrium mentioned above.     

How ecology shapes exploitation: a framework to predict the behavioural response of human and animal foragers along exploration–exploitation trade‐offs

Understanding how humans and other animals behave in response to changes in their environments is vital for predicting population dynamics and the trajectory of coupled social‐ecological systems. Here, we present a novel framework for identifying emergent social behaviours in foragers (including humans engaged in fishing or hunting) in predator–prey contexts based on the exploration difficulty and exploitation potential of a renewable natural resource. A qualitative framework is introduced that predicts when foragers should behave territorially, search collectively, act independently or switch among these states. To validate it, we derived quantitative predictions from two models of different structure: a generic mathematical model, and a lattice‐based evolutionary model emphasising exploitation and exclusion costs. These models independently identified that the exploration difficulty and exploitation potential of the natural resource controls the social behaviour of resource exploiters. Our theoretical predictions were finally compared to a diverse set of empirical cases focusing on fisheries and aquatic organisms across a range of taxa, substantiating the framework's predictions. Understanding social behaviour for given social‐ecological characteristics has important implications, particularly for the design of governance structures and regulations to move exploited systems, such as fisheries, towards sustainability. Our framework provides concrete steps in this direction.