Analysis of changes of insect-plant ratio-improvement of key-factor analysis for evaluating bottom-up effects in insect population dynamics |
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Authors: | Yoshihiro Yamada |
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Institution: | (1) Entomology Laboratory, Faculty of Bioresources, Mie University, 514 Tsu, Mie, Japan |
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Abstract: | A revised key-factor analysis was presented for analyzing the temporal changes in the ratio of insect absolute number to plant
resource. Ten data sets for 5 insect species were then analyzed. In this key-factor analysis, the key factor is defined as
the factor contributing highly to between-year variation inR
r
, the log rate of the inter-year change of the insect-plant ratio. The yearly change of plant resource was handled as a separate
factor, expressed byr
pl
, log ratio of plant resource in yearn to plant resource in yearn+1. The following was revealed: 1) In 7 of the 10 data sets examined,r
pl
influenced variations ofR
r
; in particular in 3 casesr
pl
was the main key factor. 2) Generation-to-generation fluctuations of absolute insect densities showed density dependence
in 4 cases, while those of insect-plant ratios, in 8 cases. 3) The Royama model or a linear model, explained well the relationship
between log insect-plant ratio (X
r
) andR
r
and the relationship betweenX
r
and log yearly change rate of absolute insect density (R
abs
). However, in the 7 cases in whichr
pl
was a critical factor for variations ofR
r
, with, increase ofX
r
,R
r
showed a steeper, decrease around the equilibrium point (the point for whichR
r
is 0) thanR
abs
. This occurred becauser
pl
tended to be negatively correlated withX
r
. Consequently, in two casesX
r
fluctuated cyclicly or chaotically although without the changes in plant resource, fluctuations ofX
r
would be damped oscillations approaching equilibrium. |
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Keywords: | chaotic dynamics density dependence herbivores key-factor analysis population dynamics |
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