Quantitative Measures of Stability
population density ( initially these measures were called as coefficients of buffering and homeostasis, see Sharov [1985, 1986] ). Later they were re ... population density in the logistic model equals to carrying capacity, K. If the factor v affects K, then . If the factor v affects population growth
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Model of Leslie
Lecture 7. Model of Leslie Course: Quantitative Population Ecology Dept. of Entomology, Virginia Tech, Blacksburg, VA © Alexei Sharov The ... which describes development, mortality, and reproduction of organisms. The model is formulated using linear algebra . This model is mostly used
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Other non-linear models of development
relationship between development rate and temperature (between two temperature limits t min and t max ) from the simple degree-day model. Now it is ... temperature. In this case, development rate can be defined as a reciprocal of development time (v = 1/T). But what is development rate if temperature
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Questions and assignments 5
population dynamics with the discrete-time logistic model (Ricker's model) for 60 generations. Use K=100; r = 0.1, 0.5, 1.0, 1.5, 1.9, 2.2; N o = 10.
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t-statistics
Table of t-statistics F-statistics with other P-values: P=0.05 | P=0.01 | P=0.001 Chi-square statistics df P = 0.05 P = 0.01 P = 0.001 1 12.71 63.66 636.61 2 4.30 9.92 31.60 3 3.18 5.84 12.92 4 2.78 4.60 8.61 5 2.57 4.03 6.87 6 2.45 3.71 5.96 7 2.36 3.50 5.41 8 2.31 3.36 5.04 9 2
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Chi-square table
Table of Chi-square statistics t-statistics F-statistics with other P-values: P=0.05 | P=0.01 | P=0.001 df P = 0.05 P = 0.01 P = 0.001 1 3.84 6.64 10.83 2 5.99 9.21 13.82 3 7.82 11.35 16.27 4 9.49 13.28 18.47 5 11.07 15.09 20.52 6 12.59 16.81 22.46 7 14.07 18.48 24.32 8 15.51 20
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Stochastic models based on regression
population model is: Random variable has a normal distribution with zero mean and variance equal to the error variance in regression: Var( ) = 0
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https://greenlab.unibo.it/value-chain/plot3d.html
Data about Nectarines (Nec) and Peaches (Pea) - plot navigation only responds to mouse events Time shift:
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Population Systems and Their Components
Lecture 1. Introduction. Population Systems and Their Components Course: Quantitative Population Ecology Dept. of Entomology, Virginia Tech, Blacksburg, VA © Alexei Sharov What is population ecology? Models as analytical tools Population system Petri nets (optional) Questions
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Dispersal and Spatial Dynamics
Lecture 12. Dispersal and Spatial Dynamics Course: Quantitative Population Ecology Dept. of Entomology, Virginia Tech, Blacksburg, VA © Alexei Sharov 12.1. Random Walk 12.2. Diffusion Models 12.3. Stratified Dispersal 12.4. Metapopulation Models Web sites on dispersal and
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Diffusion Models
displacement of organisms recaptured t units time after their release (Skellam 1973). Example: The muskrat ( Ondatra zibethica ) was introduced to
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Population Outbreaks
Lecture 13. Population Outbreaks Course: Quantitative Population Ecology Dept. of Entomology, Virginia Tech, Blacksburg, VA © Alexei Sharov 13.1. Ecological mechanisms of outbreaks 13.2. A model of an outbreak 13.3. Catastrophe theory 13.4. Classification of outbreaks 13.5.
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Stability, Oscillations and Chaos in Population Dynamics
Lecture 9. Stability, Oscillations and Chaos in Population Dynamics Course: Quantitative Population Ecology Dept. of Entomology, Virginia Tech, Blacksburg, VA © Alexei Sharov 9.1. Introduction 9.2. Attractors and Their Types 9.3. Equilibrium: Stable or Unstable? 9.4. Quantitative
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Spatial distribution of organisms
Lecture 3. Spatial distribution of organisms Course: Quantitative Population Ecology Dept. of Entomology, Virginia Tech, Blacksburg, VA © Alexei Sharov 3.1. Tree Types of Spatial Distribution 3.2 Random Distribution 3.3 Aggregated Spatial Distribution 3.4 Indexes of Aggregation 3
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Estimation of population density and size
Lecture 2. Estimation of population density and size Course: Quantitative Population Ecology Dept. of Entomology, Virginia Tech, Blacksburg, VA © Alexei Sharov 2.1. Censusing a Whole Population 2.2. Simple Random or Systematic Sampling 2.3. How Many Samples? 2.4. Elements of
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