Step 1: Understanding the Concept:
Growth analysis parameters are derived from primary measurements of plant dry weight and leaf area over time.
Each physiological growth index has a specific biological definition, representing a different aspect of crop productivity.
As physical and biological quantities, these parameters have standardized mathematical units that reflect their derivation equations.
Step 2: Detailed Explanation:
Let us analyze each growth parameter and derive its corresponding unit to find the correct match:
(A). Leaf Area Duration (LAD):
LAD represents the total photosynthetic surface area available to the plant over a specific growth period.
It is calculated as the integral of the leaf area index or total leaf area over time:
\[ \text{LAD} = \int \text{LA} \cdot dt \]
Therefore, its unit is the product of leaf area and time, which is expressed as square centimeters days (\(\text{cm}^2\text{ d}\)) or simply days if utilizing index values.
In this list, it matches with (I).
(B). Crop Growth Rate (CGR):
CGR is the rate of dry matter accumulation per unit of land area per unit of time:
\[ \text{CGR} = \frac{1}{\text{Land Area}} \cdot \frac{dW}{dt} \]
Therefore, its unit is grams of dry matter per square meter of land per day, expressed as \(\text{g m}^{-2}\text{ day}^{-1}\).
In this list, it matches with (II).
(C). Leaf Area Ratio (LAR):
LAR is the ratio of total photosynthetic leaf area to total plant dry weight, representing the relative leafiness of the plant:
\[ \text{LAR} = \frac{\text{Leaf Area}}{\text{Total Dry Weight}} \]
Therefore, its unit is square meters of leaf area per gram of dry weight, expressed as \(\text{m}^2\text{ g}^{-1}\).
In this list, it matches with (III).
(D). Net Assimilation Rate (NAR):
NAR is the net increase in plant dry weight per unit of leaf area per unit of time:
\[ \text{NAR} = \frac{1}{\text{Leaf Area}} \cdot \frac{dW}{dt} \]
Therefore, its unit is grams of dry matter per square meter of leaf area per day, expressed as \(\text{g m}^{-2}\text{ day}^{-1}\).
In this list, it matches with (IV).
Combining these matches: (A) - (I), (B) - (II), (C) - (III), (D) - (IV), which corresponds to option (A).
Step 3: Final Answer:
Consequently, the correct match is represented by option (A).