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

Population Growth00:57

Population Growth

23.2K
Population size is dynamic, increasing with birth rates and immigration, and decreasing with death rates and emigration. In ideal conditions with unlimited resources, populations can increase exponentially, which plots as a J-shaped growth rate curve of population size against time. This type of curve is characteristic of newly-introduced invasive species, or populations that have suffered catastrophic declines and are rebounding.
23.2K
Growth Models with Integration: Problem Solving01:27

Growth Models with Integration: Problem Solving

164
In population modeling, integration provides a systematic way to determine accumulated quantities from known rates of change. One such application arises in ecology, where the total weight of a fish population in a body of water is referred to as its biomass. When the rate of growth of this biomass is known as a function of time, calculus can be used to determine the total biomass at a future date.Growth Rate and Biomass FunctionLet the growth rate of the fish population be represented by a...
164
Modeling with Differential Equations01:25

Modeling with Differential Equations

334
Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...
334
Exponential Equations for Modeling Growth01:26

Exponential Equations for Modeling Growth

459
Exponential models are essential for describing rapid, multiplicative changes in natural systems, such as population growth. When a population doubles at regular intervals, the process can be modeled using a suitable base. For instance, a bacterial culture that doubles every three hours follows the model n(t)=n0⋅2t/3, where n(t) is the population at the time t.A more general model uses the natural base e, especially for continuous growth. This takes the form n(t)=n0⋅ert, where r is...
459
Derivatives: Problem Solving01:26

Derivatives: Problem Solving

255
Temperature-Dependent Growth of Brook TroutThe growth of brook trout is closely influenced by water temperature. Experimental data demonstrate how trout weight changes over a 24-day period in response to varying water temperatures. At lower temperatures, such as 15.5 degrees Celsius, brook trout show significant weight gain. However, as the temperature increases, the amount of weight gained steadily decreases. At the highest temperature measured, 24.4 degrees Celsius, trout experience a net...
255

You might also read

Related Articles

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

Sort by
Same author

Evaluation of Choline Metabolic Genes in the Liver of the Dam as Candidates for Mediating Choline's Efficacy in Mitigating Ethanol-Induced Cell Death in the Neural Tube: A Preliminary Analysis.

Genes·2026
Same author

Minimal oil exposure causes sublethal damage in early larval stages of a key prey species, lesser sandeel (Ammodytes marinus).

Ecotoxicology and environmental safety·2026
Same author

Natural Antioxidants in Salmon Aquaculture: Processing Fate, Tissue Deposition, and Oxidative Protection.

Aquaculture nutrition·2025
Same author

Manipulated Spawning Along With an Extension of the Atlantic Salmon Broodfish Feeding Period Affect the Vitamin C, E, D, and K Status of Broodfish, Eggs, and First-Feeding Fry.

Aquaculture nutrition·2025
Same author

Treating Substance Use Disorder in Individuals With Intellectual Disability: A Regional System Capacity Assessment.

Intellectual and developmental disabilities·2025
Same author

Herring spawned poleward following fishery-induced collective memory loss.

Nature·2025

Related Experiment Video

Updated: May 3, 2026

Real Time and Repeated Measurement of Skeletal Muscle Growth in Individual Live Zebrafish Subjected to Altered Electrical Activity
11:41

Real Time and Repeated Measurement of Skeletal Muscle Growth in Individual Live Zebrafish Subjected to Altered Electrical Activity

Published on: June 16, 2022

1.7K

A new model for simulating growth in fish.

Johannes Hamre1, Espen Johnsen1, Kristin Hamre2

  • 1Institute of Marine Research , Bergen , Norway.

Peerj
|February 6, 2014
PubMed
Summary

A new fish growth model, independent of time, accounts for environmental variation and food availability. It accurately predicts growth across various fish species, suggesting a universal law of fish growth.

Keywords:
Fish growthFish stock assessmentFisheries managementGrowth modelVertebrate growth

More Related Videos

Author Spotlight: Advancing Bone Cell Activity Research with Zebrafish Scales
02:30

Author Spotlight: Advancing Bone Cell Activity Research with Zebrafish Scales

Published on: January 10, 2025

6.6K
Surgical Size Reduction of Zebrafish for the Study of Embryonic Pattern Scaling
06:31

Surgical Size Reduction of Zebrafish for the Study of Embryonic Pattern Scaling

Published on: May 3, 2019

6.5K

Related Experiment Videos

Last Updated: May 3, 2026

Real Time and Repeated Measurement of Skeletal Muscle Growth in Individual Live Zebrafish Subjected to Altered Electrical Activity
11:41

Real Time and Repeated Measurement of Skeletal Muscle Growth in Individual Live Zebrafish Subjected to Altered Electrical Activity

Published on: June 16, 2022

1.7K
Author Spotlight: Advancing Bone Cell Activity Research with Zebrafish Scales
02:30

Author Spotlight: Advancing Bone Cell Activity Research with Zebrafish Scales

Published on: January 10, 2025

6.6K
Surgical Size Reduction of Zebrafish for the Study of Embryonic Pattern Scaling
06:31

Surgical Size Reduction of Zebrafish for the Study of Embryonic Pattern Scaling

Published on: May 3, 2019

6.5K

Area of Science:

  • Fisheries science
  • Population dynamics
  • Ichthyology

Background:

  • Traditional fish population models like the Beverton & Holt (B&H) model assume constant fish growth.
  • Fish growth is highly variable, influenced by food availability and environmental conditions.
  • Existing models often rely on age or time, limiting their accuracy for dynamic growth patterns.

Purpose of the Study:

  • To introduce a novel, time-independent fish growth model.
  • To incorporate environmental variation into fish growth predictions.
  • To validate the proposed model across diverse fish species and populations.

Main Methods:

  • Developed a new growth model where length increment decreases linearly with fish length.
  • The model incorporates a term for environmental variation.
  • Validated the model using growth data from zebrafish, herring, capelin, cod, and pollock.

Main Results:

  • The model demonstrated a good fit for Norwegian spring spawning herring, capelin, North Sea herring, and farmed coastal cod.
  • Reasonable fits were observed for Walleye Pollock and blue whiting.
  • Cod from the North Sea and Barents Sea showed variable fits, likely due to environmental factors and food availability.

Conclusions:

  • The proposed model offers a more realistic representation of fish growth, independent of time.
  • It suggests that energy conversion efficiency decreases as fish approach maximal length, potentially a natural law.
  • The model's performance highlights the significant impact of environmental factors on fish growth patterns.