Abstract

The ecological consequences of habitat loss and fragmentation have been intensively studied on a broad, landscape-wide scale, but have less been investigated on the finer scale of individual habitat patches, especially when considering dynamic turnovers in the habitability of sites. We study changes to individual patches from the perspective of the inhabitant organisms requiring a minimum area for survival. With patches given by contiguous assemblages of discrete habitat sites, the removal of a single site necessarily causes one of the following three elementary local events in the affected patch: splitting into two or more pieces, shrinkage without splitting, or complete disappearance. We investigate the probabilities of these events and the effective size of the habitat removed by them from the population’s living area as the habitat landscape gradually transitions from pristine to totally destroyed. On this basis, we report the following findings. First, we distinguish four transitions delimiting five main phases of landscape degradation: (1) when there is only a little habitat loss, the most frequent event is the shrinkage of the spanning patch; (2) with more habitat loss, splitting becomes significant; (3) splitting peaks; (4) the remaining patches shrink; and (5) finally, they gradually disappear. Second, organisms that require large patches are especially sensitive to phase 3. This phase emerges at a value of habitat loss that is well above the percolation threshold. Third, the effective habitat loss caused by the removal of a single habitat site can be several times higher than the actual habitat loss. For organisms requiring only small patches, this amplification of losses is highest during phase 4 of the landscape degradation, whereas for organisms requiring large patches, it peaks during phase 3.

Highlights

  • In today’s world, habitat fragmentation is a mostly anthropogenic process that threatens whole ecosystems[1,2,3,4,5]

  • We have presented a dynamical view of habitat loss by observing the probabilities of elementary local events on the spatial mesoscale of individual habitat patches

  • The percolation threshold marks the transition to Phase 3, in which the effective habitat loss peaks, and at the end of which the frequency of patch splitting reaches its peak

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Summary

Introduction

In today’s world, habitat fragmentation is a mostly anthropogenic process that threatens whole ecosystems[1,2,3,4,5]. Neutral landscape models (NLMs)[19,20] have been introduced to provide a standard to which real landscape patterns can be compared. Such models are being extensively studied by physicists, within the field of percolation theory[21]. The probability that a randomly chosen habitat site belongs to the infinite cluster is zero below the percolation threshold and positive above it. As real landscapes generally show aggregated patterns, aggregation has been introduced to NLMs. For example, Gustafson and Parker[29] randomly placed rectilinear clumps with random edge lengths onto a grid to create an aggregated pattern. Compared to NLMs, landscape patterns or patch structures used in experiments are usually simpler, such as a chessboard mosaic of resource-rich and resource-poor patches[59,60,61] or patterns based on percolation maps[62,63,64]. To apply the insights derived from such simple experimental settings to more complex landscapes, suitable models are required, as experimental settings with more complex landscapes[65,66] are rare

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