Emergence of ratio-dependent and predator-dependent functional responses for pollination mutualism and seed parasitism

Donald L. DeAngelis, J. Nathaniel Holland

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Prey (N) dependence [g(N)], predator (P) dependence [g(P) or g(N,P)], and ratio dependence [f(P/N)] are often seen as contrasting forms of the predator's functional response describing predator consumption rates on prey resources in predator-prey and parasitoid-host interactions. Analogously, prey-, predator-, and ratio-dependent functional responses are apparently alternative functional responses for other types of consumer-resource interactions. These include, for example, the fraction of flowers pollinated or seeds parasitized in pollination (pre-dispersal) seed-parasitism mutualisms, such as those between fig wasps and fig trees or yucca moths and yucca plants. Here we examine the appropriate functional responses for how the fraction of flowers pollinated and seeds parasitized vary with the density of pollinators (predator dependence) or the ratio of pollinator and flower densities (ratio dependence). We show that both types of functional responses can emerge from minor, but biologically important variations on a single model. An individual-based model was first used to describe plant-pollinator interactions. Conditional upon on whether the number of flowers visited by the pollinator was limited by factors other than search time (e.g., by the number of eggs it had to lay, if it was also a seed parasite), and on whether the pollinator could directly find flowers on a plant, or had to search, the simulation results lead to either a predator-dependent or a ratio-dependent functional response. An analytic model was then used to show mathematically how these two cases can arise.

Original languageEnglish
Pages (from-to)551-556
Number of pages6
JournalEcological Modelling
Volume191
Issue number3-4
DOIs
StatePublished - Feb 5 2006

Fingerprint

mutualism
functional response
parasitism
pollination
pollinating insects
eclosion
predator
seed
predators
flower
pollinator
flowers
seeds
Prodoxidae
consumer-resource interaction
Agaonidae
Yucca
host-parasitoid interaction
plant-pollinator interaction
figs

Keywords

  • Consumer-resource model
  • Individual-based model
  • Pollination
  • Predator-dependent functional response
  • Ratio-dependent functional response
  • Seed parasitism

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecological Modeling
  • Ecology

Cite this

Emergence of ratio-dependent and predator-dependent functional responses for pollination mutualism and seed parasitism. / DeAngelis, Donald L.; Holland, J. Nathaniel.

In: Ecological Modelling, Vol. 191, No. 3-4, 05.02.2006, p. 551-556.

Research output: Contribution to journalArticle

DeAngelis, Donald L. ; Holland, J. Nathaniel. / Emergence of ratio-dependent and predator-dependent functional responses for pollination mutualism and seed parasitism. In: Ecological Modelling. 2006 ; Vol. 191, No. 3-4. pp. 551-556.
@article{cc701349e9de48c5b4d208c353b39001,
title = "Emergence of ratio-dependent and predator-dependent functional responses for pollination mutualism and seed parasitism",
abstract = "Prey (N) dependence [g(N)], predator (P) dependence [g(P) or g(N,P)], and ratio dependence [f(P/N)] are often seen as contrasting forms of the predator's functional response describing predator consumption rates on prey resources in predator-prey and parasitoid-host interactions. Analogously, prey-, predator-, and ratio-dependent functional responses are apparently alternative functional responses for other types of consumer-resource interactions. These include, for example, the fraction of flowers pollinated or seeds parasitized in pollination (pre-dispersal) seed-parasitism mutualisms, such as those between fig wasps and fig trees or yucca moths and yucca plants. Here we examine the appropriate functional responses for how the fraction of flowers pollinated and seeds parasitized vary with the density of pollinators (predator dependence) or the ratio of pollinator and flower densities (ratio dependence). We show that both types of functional responses can emerge from minor, but biologically important variations on a single model. An individual-based model was first used to describe plant-pollinator interactions. Conditional upon on whether the number of flowers visited by the pollinator was limited by factors other than search time (e.g., by the number of eggs it had to lay, if it was also a seed parasite), and on whether the pollinator could directly find flowers on a plant, or had to search, the simulation results lead to either a predator-dependent or a ratio-dependent functional response. An analytic model was then used to show mathematically how these two cases can arise.",
keywords = "Consumer-resource model, Individual-based model, Pollination, Predator-dependent functional response, Ratio-dependent functional response, Seed parasitism",
author = "DeAngelis, {Donald L.} and Holland, {J. Nathaniel}",
year = "2006",
month = "2",
day = "5",
doi = "10.1016/j.ecolmodel.2005.06.005",
language = "English",
volume = "191",
pages = "551--556",
journal = "Ecological Modelling",
issn = "0304-3800",
publisher = "Elsevier",
number = "3-4",

}

TY - JOUR

T1 - Emergence of ratio-dependent and predator-dependent functional responses for pollination mutualism and seed parasitism

AU - DeAngelis, Donald L.

AU - Holland, J. Nathaniel

PY - 2006/2/5

Y1 - 2006/2/5

N2 - Prey (N) dependence [g(N)], predator (P) dependence [g(P) or g(N,P)], and ratio dependence [f(P/N)] are often seen as contrasting forms of the predator's functional response describing predator consumption rates on prey resources in predator-prey and parasitoid-host interactions. Analogously, prey-, predator-, and ratio-dependent functional responses are apparently alternative functional responses for other types of consumer-resource interactions. These include, for example, the fraction of flowers pollinated or seeds parasitized in pollination (pre-dispersal) seed-parasitism mutualisms, such as those between fig wasps and fig trees or yucca moths and yucca plants. Here we examine the appropriate functional responses for how the fraction of flowers pollinated and seeds parasitized vary with the density of pollinators (predator dependence) or the ratio of pollinator and flower densities (ratio dependence). We show that both types of functional responses can emerge from minor, but biologically important variations on a single model. An individual-based model was first used to describe plant-pollinator interactions. Conditional upon on whether the number of flowers visited by the pollinator was limited by factors other than search time (e.g., by the number of eggs it had to lay, if it was also a seed parasite), and on whether the pollinator could directly find flowers on a plant, or had to search, the simulation results lead to either a predator-dependent or a ratio-dependent functional response. An analytic model was then used to show mathematically how these two cases can arise.

AB - Prey (N) dependence [g(N)], predator (P) dependence [g(P) or g(N,P)], and ratio dependence [f(P/N)] are often seen as contrasting forms of the predator's functional response describing predator consumption rates on prey resources in predator-prey and parasitoid-host interactions. Analogously, prey-, predator-, and ratio-dependent functional responses are apparently alternative functional responses for other types of consumer-resource interactions. These include, for example, the fraction of flowers pollinated or seeds parasitized in pollination (pre-dispersal) seed-parasitism mutualisms, such as those between fig wasps and fig trees or yucca moths and yucca plants. Here we examine the appropriate functional responses for how the fraction of flowers pollinated and seeds parasitized vary with the density of pollinators (predator dependence) or the ratio of pollinator and flower densities (ratio dependence). We show that both types of functional responses can emerge from minor, but biologically important variations on a single model. An individual-based model was first used to describe plant-pollinator interactions. Conditional upon on whether the number of flowers visited by the pollinator was limited by factors other than search time (e.g., by the number of eggs it had to lay, if it was also a seed parasite), and on whether the pollinator could directly find flowers on a plant, or had to search, the simulation results lead to either a predator-dependent or a ratio-dependent functional response. An analytic model was then used to show mathematically how these two cases can arise.

KW - Consumer-resource model

KW - Individual-based model

KW - Pollination

KW - Predator-dependent functional response

KW - Ratio-dependent functional response

KW - Seed parasitism

UR - http://www.scopus.com/inward/record.url?scp=30344483662&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=30344483662&partnerID=8YFLogxK

U2 - 10.1016/j.ecolmodel.2005.06.005

DO - 10.1016/j.ecolmodel.2005.06.005

M3 - Article

AN - SCOPUS:30344483662

VL - 191

SP - 551

EP - 556

JO - Ecological Modelling

JF - Ecological Modelling

SN - 0304-3800

IS - 3-4

ER -