View source: R/SurfaceAreaNRGE.R
SurfaceAreaNRGE | R Documentation |
SurfaceAreaNRGE
is used to calculate the surface area of an egg that follows the Narushin-Romanov-Griffin equation.
SurfaceAreaNRGE(P, subdivisions = 100L,
rel.tol = .Machine$double.eps^0.25, abs.tol = rel.tol,
stop.on.error = TRUE, keep.xy = FALSE, aux = NULL)
P |
the parameters of the Narushin-Romanov-Griffin equation. |
subdivisions |
please see the arguments for the |
rel.tol |
please see the arguments for the |
abs.tol |
please see the arguments for the |
stop.on.error |
please see the arguments for the |
keep.xy |
please see the arguments for the |
aux |
please see the arguments for the |
The formula of the surface area (S
) of an egg based on the Narushin-Romanov-Griffin equation is:
S(x)=2\,\pi\int_{-A/2}^{A/2}y\,\sqrt{1+\left(\frac{dy}{dx}\right)^2}\,dx,
where y
denotes the Narushin-Romanov-Griffin equation (i.e., NRGE
), and
A
denotes the egg's length, which is the first element in the parameter vector, P
.
The argument P
in the SurfaceAreaNRGE
function has the same parameters, as those in the
NRGE
function.
Peijian Shi pjshi@njfu.edu.cn, Johan Gielis johan.gielis@uantwerpen.be, Brady K. Quinn Brady.Quinn@dfo-mpo.gc.ca.
Narushin, V.G., Romanov, M.N., Griffin, D.K. (2021) Egg and math: introducing a universal formula for egg shape.
Annals of the New York Academy of Sciences 1505, 169-
177. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1111/nyas.14680")}
Narushin, V.G., Romanov, M.N., Mishra, B., Griffin, D.K. (2022) Mathematical progression of
avian egg shape with associated area and volume determinations.
Annals of the New York Academy of Sciences 1513, 65-
78. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1111/nyas.14771")}
Shi, P., Chen, L., Quinn, B.K., Yu, K., Miao, Q., Guo, X., Lian, M., Gielis, J., Niklas, K.J. (2023)
A simple way to calculate the volume and surface area of avian eggs.
Annals of the New York Academy of Sciences 1524, 118-
131. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1111/nyas.15000")}
curveNRGE
, DNRGE
, fitNRGE
, NRGE
, VolumeNRGE
Par6 <- c(4.51, 3.18, 0.1227, 2.2284)
SurfaceAreaNRGE(P = Par6)
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