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Measuring biodiversity

IB Environmental Systems and Societies โ€ข Unit 3

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๐Ÿ“Š Measuring biodiversity

Big idea: Biodiversity can be measured, not just described. Measuring biodiversity helps scientists compare ecosystems and track change over time.

๐ŸŒฟ What does species diversity mean?

Species diversity looks at how many species live in an area and how evenly individuals are shared between them.

  • Richness
  • Evenness
  • High diversity needs BOTH richness and evenness
Lots of species โŒ if one species dominates โ†’ diversity is still low.

๐ŸŒป Richness vs evenness (simple example)

Imagine a field with many lavender plants and just one sunflower.

  • There is more than one species โ†’ richness is greater than 1
  • But almost all individuals are lavender โ†’ low evenness
  • The sunflower is unlikely to reproduce โ†’ low long-term diversity
Rich but uneven = still low biodiversity.

๐Ÿงฎ Simpson's Reciprocal Index (D)

Big Idea: Simpson's Reciprocal Index turns biodiversity into a single number.

It tells you how diverse an ecosystem is by looking at how many species there are AND how evenly they're spread out.

Think of it like a classroom: if 30 students are in a room but 28 speak English and only 2 speak Spanish, there's low language diversity. But if 15 speak English and 15 speak Spanish, diversity is higherโ€”even though the total is the same!


๐Ÿ“ The Formula

Simpson's Reciprocal Index (D)

Don't panic! Let's break this down into plain English.

  • D = the diversity score (higher = more diverse)
  • N = total number of ALL individuals (count everything!)
  • n = number of individuals of ONE species
  • ฮฃ (sigma) = "add up" โ€“ you do this for each species
Higher D = more biodiversity. The minimum D is 1 (only one species). There's no maximum!

๐ŸŒป Worked Example 1: Uneven Field (Low Diversity)

Imagine a field with 9 daisies and 1 sunflower.

  • Step 1: Count the total (N) โ†’ 9 + 1 = 10
  • Step 2: Calculate N(N-1) โ†’ 10 ร— 9 = 90
  • Step 3: For each species, calculate n(n-1):
  • โ€ข Daisies: 9 ร— 8 = 72
  • โ€ข Sunflowers: 1 ร— 0 = 0
  • Step 4: Add them up โ†’ 72 + 0 = 72
  • Step 5: Divide โ†’ D = 90 รท 72 = 1.25
Result: D = 1.25 โ†’ This is LOW diversity. Almost all plants are daisies, so the ecosystem isn't very diverse.

๐ŸŒธ Worked Example 2: Even Field (High Diversity)

Now imagine the same field with 5 daisies and 5 sunflowers.

  • Step 1: Count the total (N) โ†’ 5 + 5 = 10
  • Step 2: Calculate N(N-1) โ†’ 10 ร— 9 = 90
  • Step 3: For each species, calculate n(n-1):
  • โ€ข Daisies: 5 ร— 4 = 20
  • โ€ข Sunflowers: 5 ร— 4 = 20
  • Step 4: Add them up โ†’ 20 + 20 = 40
  • Step 5: Divide โ†’ D = 90 รท 40 = 2.25
Result: D = 2.25 โ†’ This is HIGHER diversity! Same total plants, but they're spread more evenly between species.

๐Ÿ” Comparing the Two Examples

Uneven Field

  • 9 daisies, 1 sunflower
  • Total: 10 plants
  • D = 1.25
  • Low diversity

Even Field

  • 5 daisies, 5 sunflowers
  • Total: 10 plants
  • D = 2.25
  • Higher diversity
Same number of plants, but different D values! Evenness matters just as much as the total.

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๐Ÿ“ The Formula

Simpson's Reciprocal Index (D)

๐ŸŒฒ Worked Example 3: Three Species

A pond has 10 frogs, 10 fish, and 10 snails.

  • Step 1: N = 10 + 10 + 10 = 30
  • Step 2: N(N-1) = 30 ร— 29 = 870
  • Step 3: Each species: n(n-1) = 10 ร— 9 = 90 (ร—3)
  • Step 4: Sum = 90 + 90 + 90 = 270
  • Step 5: D = 870 รท 270 = 3.22
Result: D = 3.22 โ†’ Even higher! More species AND perfect evenness = high biodiversity.

๐Ÿ’ก What D Values Mean

  • D = 1 โ†’ Only one species (no diversity at all)
  • D = 1โ€“2 โ†’ Low diversity (one species dominates)
  • D = 2โ€“5 โ†’ Moderate diversity
  • D > 5 โ†’ High diversity (many species, evenly spread)
In exams, you might need to calculate D or explain why one ecosystem has a higher D than another. Always mention evenness!

๐Ÿงช Why measuring biodiversity matters

Measuring biodiversity helps scientists and conservationists make decisions.

  • Compare different habitats objectively
  • Monitor changes over time (is diversity increasing or decreasing?)
  • Identify ecosystems under threat
  • Evaluate if conservation efforts are working

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