Biology

Evolution and ecology

Natural selection, phylogeny, trophic levels, cycles.

Basics

Natural selection

If variation is heritable and survival or reproduction differs, trait frequencies change. Adaptation is fitness in a given environment.

Phylogeny

A branching history from common ancestors. Homology (shared ancestry) is not analogy (convergence). Binomial names: genus + species.

Trophic levels

Producers → primary consumers → higher consumers. A rough 10% of energy often reaches the next level. Matter cycles; energy flows.

Formulas

Exponential growth

dN/dt = r N

Unlimited population growth. Real populations meet a carrying capacity K.

Symbols

  • N population size
  • r intrinsic growth rate

Logistic growth

dN/dt = r N (1 − N/K)

Growth stops as N approaches K. An S-shaped curve.

Symbols

  • K carrying capacity

Key table

Three domains Bacteria, Archaea, Eukarya
Carbon Fixed by photosynthesis; returned as CO₂ by respiration and burning
Nitrogen Nitrogen-fixing microbes convert N₂ to ammonium

In this field