32. The relationship between species and area of distribution is given by the following equation: S = CAZ where S is the number of species on an island or isolated patch, A is the area of the habitat, and C and Z are constants. The following are a set of statements pertaining to the value of 'Z': A. Z value is typically not greater than 0.4 across all ecosystem types. B. Z value is positively related to a species' dispersal capability, with flying and wind-dispersed organisms having the highest values. C. Z value, which represents the slope in the relationship, declines with area, especially when large landmasses such as continents are considered. D. The Z value is the exponent in the power model and can be used to estimate the proportion of area required to represent a given proportion of species present in any land class. Select the option that represents the combination of all correct statements. (1) A and B (2) A and D (3) B and C (4) C and D
  1. The relationship between species and area of distribution is given by the following equation: S = CAZ where S is the number of species on an island or isolated patch, A is the area of the
    habitat, and C and Z are constants. The following are a set of statements pertaining to the value of ‘Z’:
    A. Z value is typically not greater than 0.4 across all ecosystem types.
    B. Z value is positively related to a species’ dispersal capability, with flying and wind-dispersed organisms having the highest values.
    C. Z value, which represents the slope in the relationship, declines with area, especially when large landmasses such as continents are considered.
    D. The Z value is the exponent in the power model and can be used to estimate the proportion of area required to represent a given proportion of species present in any land class.
    Select the option that represents the combination of all correct statements.
    (1) A and B (2) A and D
    (3) B and C (4) C and D

    The species-area relationship, expressed as S = CA^Z, is a fundamental equation in ecology. Here, S is the number of species, A is the area, and C and Z are constants. The Z value is particularly important as it determines the slope of the curve when the relationship is plotted on a log-log scale. Understanding the properties and ecological significance of the Z value is essential for biodiversity studies, conservation planning, and biogeography.

    Evaluating the Statements About ‘Z’

    Let’s analyze each statement:

    A. Z value is typically not greater than 0.4 across all ecosystem types.

    • Correctness: This statement is partially correct. In most continental areas and for many taxa, Z values range from 0.15 to 0.35. However, in highly isolated systems like true islands, Z can be higher (sometimes up to 0.4 or more). So, while Z is often not greater than 0.4, it is not a strict rule “across all ecosystem types.”

    B. Z value is positively related to a species’ dispersal capability, with flying and wind-dispersed organisms having the highest values.

    • Correctness: This statement is incorrect. In fact, Z value is negatively related to dispersal capability. Organisms with high dispersal abilities (like birds or wind-dispersed plants) tend to have lower Z values because they can colonize new areas more easily, making species accumulation with area less steep. Conversely, poor dispersers have higher Z values.

    C. Z value, which represents the slope in the relationship, declines with area, especially when large landmasses such as continents are considered.

    • Correctness: This statement is correct. On small, isolated patches (like islands), Z values are higher. On larger scales, such as continents, Z values tend to be lower, reflecting a shallower slope in the species-area relationship.

    D. The Z value is the exponent in the power model and can be used to estimate the proportion of area required to represent a given proportion of species present in any land class.

    • Correctness: This statement is correct. Z is indeed the exponent in the power model and is used in conservation planning to estimate how much area is needed to conserve a certain proportion of species.

    Matching With the Options

    • A and B: Only A is mostly correct, B is incorrect.

    • A and D: A is mostly correct, D is correct.

    • B and C: B is incorrect, C is correct.

    • C and D: Both C and D are correct.

    Conclusion

    The combination that represents all correct statements is:

    (4) C and D

    Summary Table

    Statement Correct? Explanation
    A Partially (not always true) Z is usually <0.4, but not always in all ecosystems
    B No High dispersal = lower Z, not higher
    C Yes Z declines with increasing area/scale
    D Yes Z is the exponent, used in area-species estimations

    Correct answer:
    (4) C and D

3 Comments
  • Prena Ghangas
    October 27, 2025

    C and D

  • Manisha choudhary
    October 28, 2025

    C and d option is correct answer

  • Kajal
    November 16, 2025

    C and D

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