Abstract:We review and synthesize recent developments in the study of the spread of invasive species, emphasizing both empirical and theoretical approaches. Recent theoretical work has shown that invasive species spread is a much more complex process than the classical models suggested, as long range dispersal events can have a large influence on the rate of range expansion through time. Empirical work goes even further, emphasizing the role of spatial heterogeneity, temporal variability, other species, and evolution. … Show more
“…Non-native or alien species may establish and spread in new habitats, eventually changing existing local food web structure and potentially leading to biodiversity loss [21]. Therefore, understanding the various mechanisms that facilitate or prevent an invasion has become a central point in ecological research [8].…”
Invasion of alien species is one of the major threats for natural community structures, potentially leading to high economic and environmental costs. In this work, we study through a reaction-diffusion model the dynamics of an invasion in a heterogeneous environment and in the presence of a strong Allee effect. We model space as an infinite landscape consisting of periodically alternating favourable and unfavourable patches. In addition, we consider that at the interface between patch types individuals may show preference for more favourable regions. Using homogenization techniques and a classical result for spread with Allee effect in homogeneous landscapes, we derive approximate expressions for the spread speed. When compared with numerical simulations, these expressions prove to be very accurate even beyond the expected small-scale heterogeneity limit of homogenization. We demonstrate how rates of spatial spread depend on demographic and movement parameters as well as on the landscape properties.
“…Non-native or alien species may establish and spread in new habitats, eventually changing existing local food web structure and potentially leading to biodiversity loss [21]. Therefore, understanding the various mechanisms that facilitate or prevent an invasion has become a central point in ecological research [8].…”
Invasion of alien species is one of the major threats for natural community structures, potentially leading to high economic and environmental costs. In this work, we study through a reaction-diffusion model the dynamics of an invasion in a heterogeneous environment and in the presence of a strong Allee effect. We model space as an infinite landscape consisting of periodically alternating favourable and unfavourable patches. In addition, we consider that at the interface between patch types individuals may show preference for more favourable regions. Using homogenization techniques and a classical result for spread with Allee effect in homogeneous landscapes, we derive approximate expressions for the spread speed. When compared with numerical simulations, these expressions prove to be very accurate even beyond the expected small-scale heterogeneity limit of homogenization. We demonstrate how rates of spatial spread depend on demographic and movement parameters as well as on the landscape properties.
“…The importance of Allee effect for spatio-temporal dynamics of biological invasions has been shown in [16,13,8]. It appears that in presence of the effect the invasion front can move slower, stop, or even reverse its direction.…”
Abstract. We consider the model of invasion prevention in a system of lakes that are connected via traffic of recreational boats. It is shown that, in presence of an Allee effect, the general optimal control problem can be reduced to a significantly simpler stationary optimization problem of optimal invasion stopping. We consider possible values of model parameters for zebra mussels. The general N -lake control problem has to be solved numerically, and we show a number of typical features of solutions: distribution of control efforts in space and optimal stopping configurations related with the clusters in lake connection structure.
“…initiated a broader research interest in landscape ecological research that explicitly addresses the influence of landscape structure on invasions, and it became evident that the spatial and temporal variation of environmental factors influences the spread of invasive species (Hastings et al, 2005;Melbourne et al, 2007). Landscape research on biotic invasions awaits a synthesis, but it appears that the integration of different spatial scales will be a major challenge in invasion research in the coming years (Kühn and Klotz, 2007;Pauchard and McKinney, 2006;Pysek and Hulme, 2005).…”
It is increasingly expected from environmental research such as landscape research that science directly contributes to the solving of pressing societal problems. However, despite increased efforts to direct research towards societal problems, it is not obvious if science has become more effective in supporting environmental problem-solving. We present in this article a framework that facilitates the analysis and design of problem-orientation in research fields. We then apply the proposed framework to a concrete example of a problem-oriented landscape research field -namely research on biotic invasions. Invasion research addresses the problem that some organisms, that have been introduced by humans to a new geographic area where they were previously not present, spread in the landscape and pose negative impacts.We argue that problem-oriented research is more than applied research. Besides research on specific questions it also encompasses boundary management, i.e., deliberations among experts and stakeholders on the framing of adequate research questions about processes, values and practices for effective problem-solving. We postulate that such research may assist problem-solving in three ways, by analysing causal relationships (systems knowledge), clarifying conflicts of interests and values (target knowledge), or contributing to the development of appropriate means for action (transformation knowledge).We show that over the past decades a broad range of different research approaches has emerged in the young field of invasion research in order to produce systems, target and transformation knowledge for invasive species management. Early research in the field was dominated by the development of systems knowledge, but increasingly the three knowledge forms are Boundary management in invasion research is mainly restricted to informal networks (communities of practice), while formal processes such as transdisciplinary research are scarce. We suggest that the paucity of structured and explicit boundary management processes will limit the future development of a more effective science for invasive species management. In particular, we envisage three obstacles that can only be removed through explicit boundary management. First, the existing theoretical frameworks are currently only partly able to integrate natural and social sciences research on the processes underlying invasions. Second, a clarification of the normative thinking about alien plant invasions is needed. Third, research on transformation knowledge has so far not fundamentally challenged the existing conceptual framing and institutional setup of invasive species management.
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