Spatial autocorrelation of ecological phenomena

Koenig, Walter D.

doi:10.1016/s0169-5347(98)01533-x

Cited by 572 publications

(537 citation statements)

References 30 publications

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“…A variety of statistical techniques have been developed to allow potential bias and uncertainty to be taken into account when estimating abundance from these different sources of data (Greenwood & Robinson 2006). Prior to analysis, a dataset is usually modified in some way to remove spurious trends that are not of interest (Koenig 1999;Turchin 2003, ch. 7).…”

Section: Methods For Detecting Travelling Waves In Empirical Datamentioning

confidence: 99%

Periodic travelling waves in cyclic populations: field studies and reaction–diffusion models

Sherratt

Smith

2008

J. R. Soc. Interface.

154

123

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Periodic travelling waves have been reported in a number of recent spatio-temporal field studies of populations undergoing multi-year cycles. Mathematical modelling has a major role to play in understanding these results and informing future empirical studies. We review the relevant field data and summarize the statistical methods used to detect periodic waves. We then discuss the mathematical theory of periodic travelling waves in oscillatory reactiondiffusion equations. We describe the notion of a wave family, and various ecologically relevant scenarios in which periodic travelling waves occur. We also discuss wave stability, including recent computational developments. Although we focus on oscillatory reactiondiffusion equations, a brief discussion of other types of model in which periodic travelling waves have been demonstrated is also included. We end by proposing 10 research challenges in this area, five mathematical and five empirical.

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Section: Methods For Detecting Travelling Waves In Empirical Datamentioning

confidence: 99%

Periodic travelling waves in cyclic populations: field studies and reaction–diffusion models

Sherratt

Smith

2008

J. R. Soc. Interface.

154

123

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“…The explanation that is predominantly used for synchronized population dynamics is the synchronizing force exerted by correlated environmental noise. This mechanism, which has become known as the Moran effect, works well for populations in which the density-dependent feedback is linear (Royama, 1992;Koenig, 1999;Hudson and Cattadori, 1999;Ripa, 2000).…”

Section: Introductionmentioning

confidence: 97%

The Dynamics of Two Diffusively Coupled Predator–Prey Populations

Jansen¹

2001

Theoretical Population Biology

153

110

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I analyze the dynamics of predator and prey populations living in two patches. Within a patch the prey grow logistically and the predators have a Holling type II functional response. The two patches are coupled through predator migration. The system can be interpreted as a simple predator prey metapopulation or as a spatially explicit predator prey system. Asynchronous local dynamics are presumed by metapopulation theory. The main question I address is when synchronous and when asynchronous dynamics arise. Contrary to biological intuition, for very small migration rates the oscillations always synchronize. For intermediate migration rates the synchronous oscillations are unstable and I found periodic, quasi-periodic, and intermittently chaotic attractors with asynchronous dynamics. For large predator migration rates, attractors in the form of equilibria or limit cycles exist in which one of the patches contains no prey. The dynamical behavior of the system is described using bifurcation diagrams. The model shows that spatial predator prey populations can be regulated through the interplay of local dynamics and migration. ]

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“…Regardless of the mechanism, most studies conclude that spatial synchrony should typically decrease with geographic distance (Bjørnstad et al. 1999b; Koenig 1999; Lundberg et al. 2000; Liebhold et al.…”

Section: Introductionmentioning

confidence: 99%

Dissecting geographic variation in population synchrony using the common vole in central Europe as a test bed

Gouveia

Bjørnstad

Tkadlec

2015

Ecology and Evolution

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Spatial synchrony of population fluctuations is ubiquitous in nature. Theoretical models suggest that correlated environmental stochasticity, dispersal, and trophic interactions are important promoters of synchrony in nature to leave characteristic signatures of distance‐dependent decays in synchrony. Recent refinements of this theory have clarified how distance‐decay curves may steepen if local dynamics are governed by different density‐dependent feedbacks and how synchrony should vary regionally if the importance and correlation of environmental stochasticity is location‐specific. We analysed spatiotemporal data for the common vole, Microtus arvalis from 49 districts in the Czech Republic to examine the pattern of population synchrony between 2000 and 2014. By extending the nonparametric covariation function, we develop a quantitative method that allows a dissection of the effects of distance and additional variables such as altitude on synchrony. To examine the pattern of local synchrony, we apply the noncentered local‐indicators of spatial association (ncLISA) which highlights areas with different degrees of synchrony than expected by the region‐wide average. Additionally, in order to understand the obtained pattern of local spatial correlations, we have regressed LISA results against the proportion of forest in each district. The common vole abundances fluctuated strongly and exhibited synchronous dynamics with the typical tendency for a decline of synchrony with increasing distance but, not with altitude. The correlation between the neighbor districts decreases as the proportion of forest increases. Forested areas are suboptimum habitats and are strongly avoided by common voles. The investigation of spatiotemporal dynamics in animal populations is a key issue in ecology. Although the majority of studies are focused on testing hypotheses about which mechanisms are involved in shaping this dynamics it is crucial to understand the sources of variation involved in order to understand the underlying processes.

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Spatial autocorrelation of ecological phenomena

Cited by 572 publications

References 30 publications

Periodic travelling waves in cyclic populations: field studies and reaction–diffusion models

Periodic travelling waves in cyclic populations: field studies and reaction–diffusion models

The Dynamics of Two Diffusively Coupled Predator–Prey Populations

Dissecting geographic variation in population synchrony using the common vole in central Europe as a test bed

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