Related Experiment Video
Updated: Feb 9, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
Lead effects on the predictability of reproductive behavior in fathead minnows (Pimephales promelas): A mathematical
Concepción L Alados1, Daniel N Weber2
1Instituto Pirenaico de Ecología, Avda. Montañana, 177, (Campus Aula Dei) 50080 Zaragoza, Spain.
Abstract:
Lead (Pb) has been shown to affect the behavior of a wide variety of vertebrates, including fish, amphibians, and mammals. This article re-examines previous data on the effect of short-term, sublethal levels of waterborne Pb on the reproductive behavior of fathead minnows (Pimephales promelas). Previous research has found that Pb decreased the time spent in displaying specific reproductive behaviors in male minnows. Because each activity performed within a sequence depends upon previous parts of the sequence, the reproductive behavior of fish is not randomly distributed but is presented as a long-range self-similar correlation. By treating these data as a fractal dimension, it is now possible to determine changes in the long-term correlation of different behavioral sequences involved in nest maintenance owing to Pb exposure (0.5 ppm Pb as Pb acetate), both before and after adult males attain reproductive maturity. We hypothesized that the scaling exponent of this fluctuation varies in relation with environmental contaminants. Known Pb-induced changes in hormonal activity may account for changes in observed reproductive and nest maintenance behaviors. Pb-exposed fish exhibited higher levels of predictability (less complexity) in their behavioral sequences, i.e., they demonstrated an increase in the scaling parameter of the fluctuation a. However, if Pb was introduced after sexual maturity was observed, there was no significant difference in the scaling component a. Thus, the use of fractal dimension may provide a useful tool to analyze the effects of environmental contaminants and other stresses.
More Related Videos
08:33Experimental Protocol for Examining Behavioral Response Profiles in Larval Fish: Application to the Neuro-stimulant Caffeine
Published on: July 24, 2018
11:19Dorsal Column Steerability with Dual Parallel Leads using Dedicated Power Sources: A Computational Model
Published on: February 10, 2011
Related Concept Videos
Mathematical Modeling: Problem Solving
Reproductive Cloning
Somatic Cell Nuclear Transfer
In SCNT, an egg cell is taken from an animal and its nucleus is removed, creating an enucleated egg. Then a somatic...
What is Behavior?
Mathematical Induction
Fundamental Mathematical Principles in Pharmacokinetics: Mathematical Expressions and Units
One significant application of mathematics in pharmacokinetics is the characterization of drug distribution through the volume of distribution...
Predicting Molecular Geometry