arabidopsis {gaussratiovegind} | R Documentation |
Statistics on Chlorophyll Fluorescence Parameters
Description
Mean and standard deviation values on healthy and diseased tissues
of chlorophyll fluorescence parameters F_0
(minimum fluorescence)
and F_m
(maximum fluorescence) for a dataset of Arabidopsis thaliana
plants infected with fungal pathogen data;
parameters of the distribution of the ratio
\displaystyle{\frac{F_v}{F_m} = \frac{F_m - F_0}{F_m}}
.
Usage
arabidopsis
Format
A data frame with 10 rows and 6 columns:
- time
times of the acquisition of chlorophyll fluorescence images
- condition
indicates if the plant was inoculated:
healthy
(inoculated with water) ordiseased
(inoculated with the pathogen)- mF0, sF0
Mean and standard deviation values of the chlorophyll parameter
F_0
- mFm, sFm
Mean and standard deviation values of the chlorophyll parameter
F_m
- beta, rho, delta
the
\beta
,\rho
and\delta_y
parameters of the distribution of\displaystyle{\frac{F_v}{F_m} = \frac{F_m - F_0}{F_m}}
(distributed according to a normal ratio distribution, see Details)
Details
On each leaf picture, the F_0
and F_m
values are normally distributed.
Hence, \displaystyle{\frac{F_0}{F_m}}
is a ratio of two normal distributions.
Let \mu_{F_0}
and \sigma_{F_0}
the mean and standard deviation of F_0
and \mu_{F_m}
and \sigma_{F_m}
the mean and standard deviation of F_m
.
The parameters \beta
, \rho
and \delta_y
are given by:
\beta = \frac{\mu_{F_0}}{\mu_{F_m}}
\rho = \frac{\sigma_{F_m}}{\sigma_{F_0}}
\delta_y = \frac{\sigma_{F_m}}{\mu_{F_m}}
References
El Ghaziri, A., Bouhlel, N., Sapoukhina, N., Rousseau, D., On the importance of non-Gaussianity in chlorophyll fluorescence imaging. Remote Sensing 15(2), 528 (2023). doi:10.3390/rs15020528
Pavicic, M., Overmyer, K., Rehman, A.u., Jones, P., Jacobson, D., Himanen, K. Image-Based Methods to Score Fungal Pathogen Symptom Progression and Severity in Excised Arabidopsis Leaves. Plants, 10, 158 (2021). doi:10.3390/plants10010158