A Method for Calculating the Area of Zostera marina Leaves from Digital Images with Noise Induced by Humidity Content

Table 5

Auxiliary statistics 𝜆_𝑙, 𝜆_ℎ, 𝜃_𝑙, 𝜃_ℎ, 𝜆_𝑎, 𝛽_𝑎, 𝜆_𝑎𝑚𝑐 and 𝛽_𝑎𝑚𝑐 used to obtain the set of leaves with estimation errors in range for a reliable estimation.

Symbol	Description	Reference equation
𝜆𝑙	Proportion of leaves in 𝐶𝐺 for which 𝛿^𝑘𝑙 satisfies: 𝛿𝑙−𝜎𝛿𝑙≤𝛿^𝑘𝑙≤𝛿𝑙+𝜎𝛿𝑙	(E.5)
𝜆ℎ	Proportion of leaves in 𝐶𝐺 for which 𝛿^𝑘ℎ satisfies: 𝛿ℎ−𝜎𝛿ℎ≤𝛿^𝑘ℎ≤𝛿ℎ+𝜎𝛿ℎ	(E.6)
𝜃𝑙	Proportion of leaves in 𝐶𝐺 for which 𝛿^𝑘𝑙 do not satisfies: 𝛿𝑙−𝜎𝛿𝑙≤𝛿^𝑘𝑙≤𝛿𝑙+𝜎𝛿𝑙	(E.7)
𝜃ℎ	Proportion of leaves in 𝐶𝐺 for which 𝛿^𝑘ℎ do not satisfies: 𝛿ℎ−𝜎𝛿ℎ≤𝛿^𝑘ℎ≤𝛿ℎ+𝜎𝛿ℎ	(E.8)
𝜆𝑎	Proportion of leaves in 𝐶𝐺 for which 𝛿^𝑘𝑙 and 𝛿^𝑘ℎ satisfies: 𝛿𝑙−𝜎𝛿𝑙≤𝛿^𝑘𝑙≤𝛿𝑙+𝜎𝛿𝑙 and 𝛿ℎ−𝜎𝛿ℎ≤𝛿^𝑘ℎ≤𝛿ℎ+𝜎𝛿ℎ, and 𝑒^𝑘𝑎𝑗≥0.	(E.9)
𝛽𝑎	Proportion of leaves in 𝐶𝐺 for which 𝛿^𝑘𝑙 and 𝛿^𝑘ℎ do not satisfies: 𝛿𝑙−𝜎𝛿𝑙≤𝛿^𝑘𝑙≤𝛿𝑙+𝜎𝛿𝑙 and 𝛿ℎ−𝜎𝛿ℎ≤𝛿^𝑘ℎ≤𝛿ℎ+𝜎𝛿ℎ	(E.10)
𝜆𝑎𝑚𝑐	Proportion 𝜆𝑎𝑚𝑐 equivalent to 𝜆𝑎 respectively but linked to leaf area estimation by Monte Carlo method (cf. (2)).	(E.11)
𝛽𝑎𝑚𝑐	Proportion 𝛽𝑎𝑚𝑐 equivalent to 𝛽𝑎 but linked to leaf area estimation by Monte Carlo method (cf. (2)).	(E.12)