Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

The Angiosperm Life Cycle02:39

The Angiosperm Life Cycle

Plants have a life cycle split between two multicellular stages: a haploid stage—with cells containing one set of chromosomes—and a diploid stage—with cells containing two sets of chromosomes. The haploid stage is the gamete-producing gametophyte, and the diploid stage is the spore-producing sporophyte.
Asexual Reproduction02:38

Asexual Reproduction

Asexual reproduction allows plants to reproduce without growing flowers, attracting pollinators, or dispersing seeds. Offspring are genetically identical to the parent and produced without the fusion of male and female gametes.
Seedless Vascular Plants03:24

Seedless Vascular Plants

Seedless Vascular Plants Were the First Tall Plants on Earth
Biological Clocks and Seasonal Responses02:45

Biological Clocks and Seasonal Responses

The circadian—or biological—clock is an intrinsic, timekeeping, molecular mechanism that allows plants to coordinate physiological activities over 24-hour cycles called circadian rhythms. Photoperiodism is a collective term for the biological responses of plants to variations in the relative lengths of dark and light periods. The period of light-exposure is called the photoperiod.
Non-vascular Seedless Plants02:26

Non-vascular Seedless Plants

The diverse plant life on Earth—consisting of nearly 400,000 species—can be divided into three broad categories based on biological characteristics: nonvascular, seedless vascular, and seed plants.
Introduction to Seed Plants03:40

Introduction to Seed Plants

Most plants are seed plants—characterized by seeds, pollen, and reduced gametophytes. Seed plants include gymnosperms and angiosperms.

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Optimal vaccination strategies for imperfect vaccines and variable host susceptibility.

Journal of theoretical biology·2024
Same author

The Evolution of Immigration Strategies Facilitates Niche Expansion by Divergent Adaptation in a Structured Metapopulation Model.

The American naturalist·2019
Same author

TPB and the invasion of adaptive dynamics.

Theoretical population biology·2019
Same author

Joint evolution of dispersal and connectivity.

Evolution; international journal of organic evolution·2019
Same author

Correction to: Adaptive dynamics of saturated polymorphisms.

Journal of mathematical biology·2019
Same author

Model of bacterial toxin-dependent pathogenesis explains infective dose.

Proceedings of the National Academy of Sciences of the United States of America·2018
Same journal

Applying invasion criterion to cultural evolution.

Theoretical population biology·2026
Same journal

The joint spectrum over trees under the Kingman coalescent with varying population.

Theoretical population biology·2026
Same journal

Statistical test to compare the linkage model and the admixture model based on central limit results.

Theoretical population biology·2026
Same journal

Threshold dynamics in age-structured distributions with expanding support: A unified mathematical framework.

Theoretical population biology·2026
Same journal

Mechanistic-statistical model for the expansion of ash dieback.

Theoretical population biology·2026
Same journal

Dynamics of an intraguild predation system with optimal foraging and harvesting.

Theoretical population biology·2026
See all related articles

Related Experiment Video

Updated: May 20, 2026

Long-term, High-resolution Confocal Time Lapse Imaging of Arabidopsis Cotyledon Epidermis during Germination
12:01

Long-term, High-resolution Confocal Time Lapse Imaging of Arabidopsis Cotyledon Epidermis during Germination

Published on: December 31, 2012

Year-class coexistence in biennial plants.

Éva Kisdi1

  • 1Department of Mathematics and Statistics, University of Helsinki, FIN-00014, Finland. eva.kisdi@helsinki.fi

Theoretical Population Biology
|July 28, 2012
PubMed
Summary
This summary is machine-generated.

This study extends the Skellam model for biennial plant populations, revealing that year classes can either competitively exclude each other or coexist. These outcomes can occur simultaneously, with delayed flowering impacting population dynamics.

More Related Videos

Reliable Method for Assessing Seed Germination, Dormancy, and Mortality under Field Conditions
07:03

Reliable Method for Assessing Seed Germination, Dormancy, and Mortality under Field Conditions

Published on: November 6, 2016

Methods for Performing Crosses in Setaria viridis, a New Model System for the Grasses
08:35

Methods for Performing Crosses in Setaria viridis, a New Model System for the Grasses

Published on: October 1, 2013

Related Experiment Videos

Last Updated: May 20, 2026

Long-term, High-resolution Confocal Time Lapse Imaging of Arabidopsis Cotyledon Epidermis during Germination
12:01

Long-term, High-resolution Confocal Time Lapse Imaging of Arabidopsis Cotyledon Epidermis during Germination

Published on: December 31, 2012

Reliable Method for Assessing Seed Germination, Dormancy, and Mortality under Field Conditions
07:03

Reliable Method for Assessing Seed Germination, Dormancy, and Mortality under Field Conditions

Published on: November 6, 2016

Methods for Performing Crosses in Setaria viridis, a New Model System for the Grasses
08:35

Methods for Performing Crosses in Setaria viridis, a New Model System for the Grasses

Published on: October 1, 2013

Area of Science:

  • Ecology
  • Mathematical Biology
  • Population Dynamics

Background:

  • The Skellam model is a well-established framework for plant population dynamics.
  • Biennial plants have distinct life stages (vegetative and flowering) that influence population dynamics.
  • Previous models have not fully captured the complex dynamics of biennial plant populations.

Purpose of the Study:

  • To extend the Skellam model to accurately describe biennial plant population dynamics.
  • To investigate the conditions promoting competitive exclusion versus coexistence of year classes.
  • To analyze the impact of delayed flowering on population stability and dynamics.

Main Methods:

  • Mathematical modeling using an extended Skellam model.
  • Numerical bifurcation analysis to explore model behavior.
  • Inclusion of delayed flowering as a key biological parameter.

Main Results:

  • The extended Skellam model exhibits two attractors: competitive exclusion (2-cycles) and coexistence (interior equilibrium).
  • These two attractors can coexist simultaneously, a novel finding compared to earlier models.
  • High fecundity promotes coexistence, while high survival promotes competitive exclusion.
  • Delayed flowering generally stabilizes the interior equilibrium and population cycles are robust to some delay.

Conclusions:

  • The extended Skellam model provides a robust framework for understanding biennial plant population dynamics.
  • Fecundity and survival are critical factors determining competitive exclusion or coexistence.
  • Delayed flowering has a stabilizing effect, and population cycles remain resilient to moderate delays.