Population dynamics and the colour of environmental noise

Kaitala, Veijo; Ylikarjula, Janica; Ranta, Esa; Lundberg, Per

doi:10.1098/rspb.1997.0130

Cited by 98 publications

(98 citation statements)

References 18 publications

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“…low-frequency) noise, and amplified (dampened) by blue (i.e. high-frequency) noise (Roughgarden 1975;Kaitala et al 1997;Ripa & Heino 1999;Greenman & Benton 2005). When populations are engaged in competitive interactions in multi-species communities, the influence of environmental variation on population ER may not be as straightforward (Ripa & Ives 2003;Ruokolainen et al 2007).…”

Section: Discussionmentioning

confidence: 99%

Community extinction patterns in coloured environments

Ruokolainen

Fowler

2008

Proc. R. Soc. B.

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Understanding community responses to environmental variation is a fundamental aspect of ecological research, with direct ecological, conservation and economic implications. Here, we examined the role of the magnitude, correlation and autocorrelation structures of environmental variation on species' extinction risk (ER), and the probability of actual extinction events in model competitive communities. Both ER and probability increased with increasing positive autocorrelation when species responded independently to the environment, yet both decreased with a strong correlation between species-specific responses. These results are framed in terms of the synchrony between-and magnitude of variation within-species population sizes and are explained in terms of differences in noise amplification under different conditions. The simulation results are robust to changes in the strength of interspecific density dependence, and whether noise affects density-independent or density-dependent population processes. Similar patterns arose under different ranges of noise severity when these different model assumptions were examined. We compared our results with those from an analytically derived solution, which failed to capture many features of the simulation results.

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Section: Discussionmentioning

confidence: 99%

Community extinction patterns in coloured environments

Ruokolainen

Fowler

2008

Proc. R. Soc. B.

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“…B (2004) populations exhibit deterministic chaotic behaviour. Kaitala et al (1997) also reported that the colour of population dynamics is insensitive to the colour of environmental noise in chaotic populations. These results suggest that certain characteristics of chaotic populations may be robust to environmental noise.…”

Section: Discussionmentioning

confidence: 99%

“…Recent theoretical studies suggest that red noise leads to different risks of population extinction than white noise (Ripa & Lundberg 1996;Petchey et al 1997;Cuddington & Yodzis 1999;Halley & Kunin 1999;Morales 1999;Ripa & Heino 1999;Heino et al 2000;Heino & Sabadell 2003). Red noise also interacts with intrinsic density-dependent processes to affect population dynamics (Roughgarden 1975;Kaitala et al 1997;Greenman & Benton 2003). For example, Kaitala et al (1997) found that population dynamics tend to be more reddened when influenced by red than white noise.…”

Section: Introductionmentioning

confidence: 99%

“…Red noise also interacts with intrinsic density-dependent processes to affect population dynamics (Roughgarden 1975;Kaitala et al 1997;Greenman & Benton 2003). For example, Kaitala et al (1997) found that population dynamics tend to be more reddened when influenced by red than white noise. Greenman & Benton (2003) reported that red noise could interfere with deterministic unstable dynamics generated by density-dependent processes, causing irregular population cycles.…”

Section: Introductionmentioning

confidence: 99%

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Red environmental noise and the appearance of delayed density dependence in age–structured populations

Jiang

Shao

2004

Proc. R. Soc. Lond. B

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Previous work suggests that red environmental noise can lead to the spurious appearance of delayed density dependence (DDD) in unstructured populations regulated only by direct density dependence. We analysed the effect of noise reddening on the pattern of spurious DDD in several variants of the density-dependent age-structured population model. We found patterns of spurious DDD in structured populations with either density-dependent fertility or density-dependent survival of the first age class, inconsistent with predictions from unstructured population models. Moreover, we found that nonspurious negative DDD always emerges in populations with deterministic chaotic dynamics, regardless of population structure or the type of environmental noise. The effect of noise reddening in generating spurious DDD is often negligible in the chaotic region of population deterministic dynamics. Our findings suggest that differences in species' life histories may exhibit different patterns of spurious DDD (owing to noise reddening) than predicted by unstructured models.

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“…When subjected to environmental noise, the colour (spectrum) of population fluctuations becomes red-shifted for species higher up in a food chain (Greenman and Benton, 2005a; Ripa et al, 1998); higher-order consumers have slower dynamics than basal resources, which translates to amplification of low-frequency fluctuations in the environmental noise (Kaitala et al, 1997;Ripa and Heino, 1999). Given that trophic links are biased (which they usually are), the direction in which environmental perturbations are transmitted through a food web has an effect on population spectra (Greenman and Benton, 2005a).…”

Section: The Point Of Environmental Impact and Why This Mattersmentioning

confidence: 99%

Environmental weakening of trophic interactions drives stability in stochastic food webs

Ruokolainen

McCann

2013

Journal of Theoretical Biology

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A 3-species food web model is analysed, with stochastic variation in parameters. Noise affects either resource growth or consumer intake as a Gaussian function. Noise variance, colour, and the consumers foraging adaptation rate is varied. Environmental characteristics impact on the consumer-resource interaction strength. Noise impact on population variability depends on where it hits in the food web. a r t i c l e i n f o t r a c tThe physiological performance and behaviour of organisms are contingent on environmental conditions. When these conditions vary over time, this can have important consequences for the dynamics of individual populations and entire species communities. While the importance of environmental variation on the structuring and stability of natural food webs is recognised, little work has been done so far to build up a theoretical understanding of these processes. Here we investigate a simple model food web, where a consumer species forages flexibly upon two distinct, inter-competing resource species. Resource productivities or the resource intake rates by the consumer are assumed to depend on environmental conditions in a realistic manner. Fluctuations in these parameters drive variation in the strength of consumer-resource interactions, depending on whether the resource or the consumer is sensitive to environmental noise. The way resources and the consumer respond to changes in environmental conditions stems from the deterministic influence of each stochastic parameter on food web dynamics, which interact with the consumer adaptation process as well as between-resource competition. According to recent empirical reports, the mechanisms behind our results are likely to be relevant in natural systems and thus the model predictions are of potential importance in understanding food web responses to environmental stochasticity in general.

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Population dynamics and the colour of environmental noise

Cited by 98 publications

References 18 publications

Community extinction patterns in coloured environments

Community extinction patterns in coloured environments

Red environmental noise and the appearance of delayed density dependence in age–structured populations

Environmental weakening of trophic interactions drives stability in stochastic food webs

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