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Official Journal of the Asia Oceania Geosciences Society (AOGS)

Table 4 Three algorithms for differentiation of \(P.donghaiense\) and diatom blooms

From: Use of GOCI-II images for detection of harmful algal blooms in the East China Sea

Algorithm

MODIS

GOCI-II

Threshold value

References

\({\text{BI}}=\frac{({R}_{rs}({\lambda }_{1})-{R}_{rs}({\lambda }_{2}))/({\lambda }_{1}-{\lambda }_{2})}{({R}_{rs}({\lambda }_{3})-{R}_{rs}({\lambda }_{4}))/({\lambda }_{3}-{\lambda }_{4})}\)

\({\lambda }_{1}=488\), \({\lambda }_{2}=443\)

\({\lambda }_{3}=555\), \({\lambda }_{4}=531\)

\({\lambda }_{1}=490\), \({\lambda }_{2}=443\)

\({\lambda }_{3}=555\), \({\lambda }_{4}=510\)

If \(0<{\text{BI}}\le 0.3\),

\(P.donghaiense\);

If \(0.3<{\text{BI}}\le 1.0\), diatom

Shang et al. (2014)

\({\text{PDI}}=\frac{{R}_{rs\_slope}(\lambda , { \lambda }^{+})-{R}_{rs\_slope}({\lambda }^{+},{ \lambda }^{-})}{{R}_{rs}(\lambda )-{R}_{rs}\left({\lambda }^{-}\right)}\)   *2

\({\text{DI}}=\frac{{R}_{rs}({\lambda }_{1})-[{R}_{rs}(\lambda )+\frac{(\lambda -{\lambda }_{1})}{(\lambda -{\lambda }_{2})}\times ({R}_{rs}({\lambda }_{2})-{R}_{rs}(\lambda ))]}{{R}_{rs}({\lambda }_{1})}\)

\({\lambda }^{+}=531\),

\({\lambda }^{-}= 488\)

\(\lambda= 555\), \({\lambda }_{1}=645\),

\({\lambda }_{2}=667\)

\({\lambda }^{+}=510\),

\({\lambda }^{-}= 490\)

\(\lambda= 555\),

\({\lambda }_{1}=620\)

\({\lambda }_{2}=660\)

If \({\text{DI}}<25\times {\text{PDI}}-0.125\), \(P.donghaiense\);

If \({\text{DI}}\ge 25\times {\text{PDI}}-0.125\), diatom

Tao et al. (2015)

\({R}_{\_slope}={{\text{tan}}}^{-1}(100\times (1-({R}_{rs}({\lambda }_{2})-{R}_{rs}({\lambda }_{1}))/({\lambda }_{2}-{\lambda }_{1})\)

\({\lambda }_{1}=667\),

\({\lambda }_{2}=555\)

\({\lambda }_{1}=660\), \({\lambda }_{2}=555\)

\(\mathrm{if }{R}_{\_slope}>0.4,\)

\(P.donghaiense\);

if \({R}_{\_slope}<0.4,\)

\(diatom\)

Shen et al. (2019b)

  1. *2\({R}_{r{s\_}_{slope}}\left(\lambda , { \lambda }^{+}\right)={(R}_{rs}\left(\lambda \right)-{R}_{rs}({\lambda }^{+}))/(\lambda -{\lambda }^{+})\)