WHY derive this? Kyunki yeh predict karta hai ki area shrink hone par kitni species kho jaati hain — conservation planning mein sabse zyada useful number.
Observation (first principle): Field surveys baar-baar dikhate hain ki bade areas mein zyada species hoti hain, lekin diminishing returns ke saath — area double karne se species count double nahi hoti.
Step 1 — Kaisi relationship diminishing returns deti hai?
Power law exactly yahi karta hai. Propose karo:
S=cAz
jahan S = species ki sankhya, A = area, c = ek constant (taxon/region par depend karta hai), z = ek scaling exponent, typically 0.2–0.35.
Yeh step kyun?z<1 wala power law ka matlab hai ki area ki har nayi unit kam nayi species add karti hai — observed curve se match karta hai jo flatten hoti hai.
Step 2 — Test/fit karne ke liye linearise karo. Dono sides ke logs lo:
logS=logc+zlogA
Yeh step kyun? Log–log axes par yeh slope z ki straight line hai. Real data aise hi line par aata hai — yahi empirical justification hai.
Step 3 — Area loss se species loss predict karo. Do areas lo A1 (pehle) aur A2 (baad mein):
S1S2=cA1zcA2z=(A1A2)z
Yeh step kyun? Constant c cancel ho jaata hai, isliye hum surviving species ka fraction predict kar sakte hain c jaane bina — sirf area ratio aur z se.
Ek bade forest ko ek huge playground samajhlo jo animals se bhara hai. Ab roads banao us mein se, taaki yeh ek bunch of tiny alag playgrounds ban jaaye, beech mein busy roads ho. Teen buri cheezein hoti hain: (1) har chhote playground mein sirf kuch hi kids ke liye jagah hoti hai, aur agar chhota sa group bimar pad jaaye toh sab mar sakte hain; (2) alag-alag playgrounds ke kids ek-doosre se milne nahi aa sakte dost banane ke liye (yeh waise hai jaise animals breed nahi kar sakte, isliye unki families kamzor ho jaati hain); (3) har playground ke edges road ke paas hot, windy, aur bullies (predators aur weeds) se bhari hain jo andar ghus aate hain. Isliye chahe total playground area same bhi ho, use kaat-kaat karna animals ko bahut hurt karta hai. Aur kuch kids turant nahi marte — woh kuch time tak rehte hain aur phir baad mein gayab ho jaate hain (yeh hai "extinction debt").
Unka edge-to-interior ratio zyada hota hai, isliye zyada habitat edge hai aur little/no true interior bachta hai.
Extinction debt kya hai?
Ek time lag jisme species ek doomed fragment mein eventually extinct hone se pehle survive karti rehti hain, isliye current counts survival ko overestimate karti hain.
Isolation genetic diversity ko kaise reduce karta hai?
Yeh patches ke beech gene flow block karta hai, inbreeding aur allelic variation ka loss cause karta hai, adaptability kam hoti hai.
SLOSS debate kis baare mein hai?
Kya ek Single Large ya Several Small reserves biodiversity better conserve karti hain — context-dependent hai.
Fragmentation effects kam karne ka ek tarika batao.
Habitat corridors banao jo patches ko connect karein taaki movement aur gene flow restore ho.
S=20 at A=10 aur S=80 at A=1000 se z fit karo.
4=100z⇒z=log4/log100≈0.30.
Demographic stochasticity kya hai aur yeh chhoti populations ko kyun zyada affect karta hai?
Yeh random events hain (bimari, aag, kam births) jo population size ko affect karte hain; chhoti populations ke paas in shocks ko absorb karne ki capacity nahi hoti, isliye yeh wipe out ho sakti hain.