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Table 1 The relationship between statistical density dependence in prey time series and the combination of ecological interaction coefficients.

From: Predation and fragmentation portrayed in the statistical structure of prey time series

Statistical density dependence

Ecological interaction coefficients

Ecological interpretation

 

predator

(a jj = a ji = 0)

+

predatora

 

Direct: (1+b1)

2+a ii

<

2+a ii + a jj

Stronger competition among non-predated than predated vole populations [8, 9]

Delayed: b2

-a ii - 1

>

a ji a ij -a jj a ii - a ii - a jj -1

Predation of voles and increased feed-back from voles to predators [9, 10]

  1. a Increased specialization of predator (generalist→intermediate→specialist) is expected to result in increasingly negative b2 because of the gradually increased negative influence on prey (a ji ) and increased feed-back from prey (a ij ) [4].