In Table 1, species diversity is calculated for the two communities using the formula H = ?(pi) |ln pi| Where (pi) is the relative abundance of species "1" in the community. Table 1: Calculation of species diversity using the Shannon index, H Community A Species # of individ. (pi) |ln pi| (pi) |ln pi| A 59 .59 0.528 .311 B 12 .12 2.120 .254 C 11 .11 2.207 .243 D 10 .10 2.303 .230 E 5 .05 2.996 .150 F 3 .03 3.507 .105 Total 100 1.00 1.293 Community B Species # of individ. (pi) |ln pi| (pi) |ln pi| A 21 .21 1.561 .328 B 20 .20 1.609 .322 C 19 .19 1.661 .316 D 14 .14 1.966 .275 E 13 .13 2.040 .265 F 13 .13 2.040 .265 Total 100 1.00 1.771 Question 1: What relative abundance would achieve the highest species diversity index?
Added by Jose Luis F.
Close
Step 1
It takes into account both the number of species and their relative abundance. The formula for the Shannon index is H = -Σ(pi) * ln(pi), where pi is the relative abundance of species i. The Shannon index increases as both the number of species and the evenness of Show more…
Show all steps
Your feedback will help us improve your experience
Asma Venkitta and 60 other Biology educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In Table 1, species diversity is calculated for the two communities using the formula: H = Σ(pi) |ln pi| Where (pi) is the relative abundance of species "i" in the community. Table 1: Calculation of species diversity using the Shannon index, H Community A Species # of individ. (pi) |ln pi| (pi) |ln pi| A 59 .59 0.528 .311 B 12 .12 2.120 .254 C 11 .11 2.207 .243 D 10 .10 2.303 .230 E 5 .05 2.996 .150 F 3 .03 3.507 .105 Total 100 1.00 1.293 Community B Species # of individ. (pi) |ln pi| (pi) |ln pi| A 21 .21 1.561 .328 B 20 .20 1.609 .322 C 19 .19 1.661 .316 D 14 .14 1.966 .275 E 13 .13 2.040 .265 F 13 .13 2.040 .265 Total 100 1.00 1.771 Question 1: What relative abundance would achieve the highest species diversity index?
Sri K.
The textbook Biological Science by Freeman et al gives an example of how to calculate diversity using a similar diversity index to the one used by Rainey & Travisano. The image below is taken from that textbook. Community 1 Community 2 Community 3 A B C Species D E F Species richness: 6 6 5 Evenness: Low High High Species diversity (Shannon index): 1.350 1.794 The diversity of each community shown above is calculated using the formula H' = - Σ pi ln pi In this formula: pi is the proportion (or fraction) of individuals in the community that belong to each species ln is the natural logarithm Σ means the sum across all species in the community To use the formula, first calculate pi, then take the natural log of that value, then multiply by pi. Sum the resulting numbers you get for each species, and multiply by -1 at the end to give a positive value for H'. If you perform this calculation for communities 1 and 2, you should get the values shown above. (Hint: The calculation is easier for community 2, so try that one first.) Calculate the diversity for community 3 and enter the value into the box below.
Madhur L.
The species richness of a community is the number of different species found within that community, but to know about species diversity requires taking into consideration the relative numbers of individuals of each species within the community. Species richness can be calculated in several ways, and here we'll use the Shannon diversity index (H_s) to determine the species diversity in some hypothetical communities. This way of calculating species diversity takes into account even small contributions to diversity made by rare species; this makes the index useful for conservation biologists studying the contributions of those species to the community. The table shows data about the richness and numbers of different species in a particular community. Fill in the blanks in the table to calculate the Shannon diversity index (H_s) for the community. Calculate values to two decimal places.
Recommended Textbooks
Biology for AP Courses
Objective Biology for NEET
Introduction to General, Organic and Biochemistry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD