General themes of this book
I will argue that both the LV and many of the more recent models are indeed insufficient, in that they do not reflect many of the dynamic characteristics of large classes of slightly more realistic consumer-resource systems involving shared resources.
The book will also discuss possible reasons why the range of mathematical models of competition in the literature continues to be so narrow. The literature on competition in recent years has become increasingly focused on the question of coexistence, but it has ignored development of a wider set of consumer-resource models that will be needed to predict not only competitive exclusion, but also how competitors that continue to exist will change in response to any environmental shifts that affects one or more of them. Models that are capable of addressing this second set of questions will also lead to superior prediction of the conditions that allow coexistence, and they are usually necessary to obtain meaningful predictions of, or explanations for, evolutionary changes in sets of competitors. Thus, this book is an attempt to promote the development of a much larger and more useful body of models and approaches to competition.A current preoccupation seems to be determining to what extent coexistence is due to ‘stabilizing’ and ‘equalizing’ factors, neither of which is well defined. In considering the role of temporal variation in altering competition, the focus has been on cases when variation favours coexistence. Within that set of cases, the goal has been to classify the mechanism as being ‘the storage effect’ or ‘relative nonlinearity’, or some mixture of the two, following Chesson’s (1994) categorization of coexistence mechanisms. While there is no doubt that useful insights have grown out of Chesson’s approach, the goal of incorporating competition into applied disciplines like conservation or exploiting natural resources seems to have disappeared, and classification is of little use here.
Ideally, we should have a body of theoretical work that explores how various aspects of consumer-resource interactions affect predictions of future population sizes and competition-related traits in species experiencing environmental change.One of the problems contributing to the development of competition theory applies much more generally to theory in ecology. It is the idea that all theory needs to be tested by determining whether some prediction of the theory applies across a wide range of real (preferably field) systems. The problem is that the theory that exists is so simplified that, without additional work on slightly more complicated models, we will not know whether a particular prediction has any chance of being ‘true’ in some sense of the word. If a prediction from theory that includes some feature is not manifested by one or more natural systems, this does not mean that the new feature should be discarded from future models; it is more likely to signal that other missing features need to be added. In other words, more theory is needed to allow empirical scientists to have some idea of what should occur (or have occurred) in the system being studied. Coming up with intelligent hypotheses to test empirically requires a large theoretical infrastructure.
The enormous range of ecological communities also means that there will never be a model that applies universally. The logical way to proceed from the LV model would be to incorporate a range of real-world features that are missing, but are likely to be present in real systems. At some point, this should provide a robust framework for choosing a range of alternative explanations for some observed population dynamical result involving competitors. MacArthur’s original consumer-resource system was an initial step in the direction of building towards such a body of theory. Modifying MacArthur’s system to include nonlinear components and interactions between resources were initial steps towards expanding the model, begun in the 1970s.
The full implications of these expansions have still not been worked out in detail, largely because most theoreticians ceased working on this approach. Even the simple result that efficient consumers can cause extinction of some resources is ignored by most competition theory.Suppose a new invasive species begins to increase rapidly, and an ecologically similar resident species decreases at an even more rapid rate. Can we expect the same relative changes in abundance to continue in the future? The Lotka-Volterra model implies they would do so. Some of the more plausible consumer-resource models suggest that they should not, and that decreasing per individual effects on the resident are more likely as the invader population grows (Abrams et al. 2008b). A useful theory of competition should at least suggest what information is required to predict the most likely consequences for the native species as the invading one increases.
Ecological systems are both extremely complex and difficult to study without altering the system itself. To come up with a hypothesis about why one or more species is changing rapidly in abundance, one must have some idea of the important processes that could be operating. This must come from theory based on simpler systems. Models that incorporate the key processes of resource use are essential in generating basic hypotheses that might underlie the observed change.
Part of the problem with ‘mechanistic models' that include more variables is that determining which one applies to a given system requires work that is not attractive to individual researchers. For example, what is the range of forms of relationships between food abundances and consumption rates (i.e., functional responses)? Which are most likely to apply to certain scenarios or species? A single study will only contribute a small amount towards answering these broader questions, but many such studies on a range of species would usually require much more time than that available during a graduate student career or during the duration of a single research grant.
As a result the studies are not being done. When they are done, they most often involve a single type of resource and a single individual consumer. In part, this is due to the historical inertia from functional responses having been originally defined for single prey/food types. The limitations of functional response studies also reflect the historical idea that only prey abundance—not predator abundance—influenced the response. Neither of these assumptions is likely to apply to competitive interactions in natural communities.There is still hope that these historical influences on both the study of consumerresource interactions, and the science of competition more broadly, will diminish in the future. I am not arguing that ecologists should ignore past work; in fact, I believe the opposite is true. The problem has been that, when an area drops out of favour and then returns (as competition has done), there is a tendency to ignore much of that history, and concentrate on the earliest parts. The history of empirical and theoretical approaches to competition has been characterized by abrupt changes in the degree of general interest in the topic as well as the underlying assumptions made and questions asked. These seem to indicate that a change in focus is possible. Perhaps this gives hope for the future.
This book will return to these themes, and will end with a set of recommendations for producing a more useful competition theory in the future. Such a body of theory could provide the ‘guide for action' called for by Michel Loreau in the quotation that introduced this chapter. This is Iikelyto be my last publication in this area, to which I have devoted most of my career, and I wanted to provide a unified account of articles produced in many different decades and which appeared in many different journals. As a consequence, readers will note that rather large amounts of the text deal with ‘old’ work and also with my own work.
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