Question:

Identify the growth parameters in the von Bertalanffy age-length growth equation
A. Curvature parameter
B. Relative Condition factor
C. Initial condition factor
D. Asymptotic length
E. Anabolic coefficient
Choose the correct answer from the options given below:

Show Hint

Mnemonic for VBGF parameters: L-K-T.
L (\( L_{\infty} \)): Ceiling length.
K: Speed to the ceiling.
T (\( t_0 \)): Starting point age.
Always distinguish these from weight-length parameters (a and b).
  • A, B and D only
  • A, C, and E only
  • A, C and D only
  • B, C and D only
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The Correct Option is C

Solution and Explanation

Step 1: Understanding the Question:
The question asks to identify the standard parameters used in the von Bertalanffy Growth Function (VBGF), which is the most widely used model for fish growth in fisheries science.
Key Formula or Approach:
The von Bertalanffy age-length growth equation is given by:
\[ L_t = L_{\infty} [1 - e^{-K(t - t_0)}] \]
Where:
1. \( L_t \) is the length at age \( t \).
2. \( L_{\infty} \) is the Asymptotic length (the maximum average length a fish would reach if it lived indefinitely).
3. \( K \) is the Curvature parameter (also called the growth coefficient; it determines how fast the fish approaches \( L_{\infty} \)).
4. \( t_0 \) is the Initial condition factor (the hypothetical age at which the length of the fish is zero).

Step 2: Detailed Explanation:


Curvature parameter (A): Correct. This is the \( K \) value in the equation.

Relative Condition factor (B): Incorrect. This relates to the health or "fatness" of the fish (Kn = W aLb), not a parameter of the VBGF age-length model.

Initial condition factor (C): Correct. This is the \( t_0 \) parameter.

Asymptotic length (D): Correct. This is the \( L_{\infty} \) parameter.

Anabolic coefficient (E): Incorrect. While VBGF is derived from the balance between anabolism and catabolism, "Anabolic coefficient" is not a standard standalone parameter in the final length-at-age equation.

Step 3: Final Answer:

The parameters are A, C, and D only.
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