​The table below gives the avian community composition of three communities (X, Y, Z), where ‘1’ indicates the presence of the species in the community and ‘0’ indicates its absence.​

​Select the option that lists the correct order of similarity between pairs of communities based on Sorensen’s coefficient of similarity.​

Correct option is B

Step-by-Step Calculation Using Sorensen’s Coefficient:

​$$S = \frac{2C}{A + B}$$

(X, Y):
X has: Red-vented bulbul, Rufous treepie, Red-naped ibis → 3
Y has: Common babbler, Rufous treepie, Red-naped ibis , Spotted owlet → 4
Common species: Rufous treepie, Red-naped ibis → 2​​

​$$S_{XY} = \frac{2 \times 2}{3 + 4} = \frac{4}{7} \approx 0.57$$

(X, Z):

X has: Red-vented bulbul, Rufous treepie, Red-naped ibis → 3
Z has: Red-vented bulbul, Purple sunbird, Common babbler, Rufous treepie, Scarlet minivet → 5
Common species with X: Red-vented bulbul, Rufous treepie → 2

S_XZ = $$\frac{2 \times 2}{3 + 5} = \frac{4}{8} \approx 0.5$$​​

(Y,Z) :

Y has: Common babbler, Rufous treepie, Red-naped ibis , Spotted owlet → 4

Z has: Red-vented bulbul, Purple sunbird, Common babbler, Rufous treepie, Scarlet minivet → 5

Common Species:  Common Babbler, Rufous treepie → 2​​

S_YZ = $$\frac{2 \times 2}{4 + 5} = \frac{4}{9} \approx 0.44$$

So, Correct Answer is (X,Y) > (X,Z) > (Y,Z)