View source: R/SurfaceAreaEPE.R
SurfaceAreaEPE | R Documentation |
SurfaceAreaEPE
is used to calculate the surface area of an egg that follows the explicit Preston equation.
SurfaceAreaEPE(P, simpver = NULL, 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 explicit Preston equation or one of its simplified versions. |
simpver |
an optional argument to use the simplified version of the explicit Preston 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 explicit Preston equation or one of its simplified versions is:
S(x)=2\,\pi\int_{-a}^{a}y\,\sqrt{1+\left(\frac{dy}{dx}\right)^2}\,dx,
where y
denotes the explicit Preston equation (i.e., EPE
), and
a
denotes half the egg's length.
When simpver = NULL
, P
has five parameters: a
, b
, c_{1}
, c_{2}
, and c_{3}
;
when simpver = 1
, P
has four parameters: a
, b
, c_{1}
, and c_{2}
;
when simpver = 2
, P
has three parameters: a
, b
, and c_{1}
;
when simpver = 3
, P
has three parameters: a
, b
, and c_{2}
.
The argument P
in the SurfaceAreaEPE
function has the same parameters, as those in the
EPE
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., 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")}
DEPE
, EPE
, fitEPE
, VolumeEPE
Par4 <- c(4.27, 2.90, 0.0868, 0.0224, -0.0287)
SurfaceAreaEPE(P = Par4, simpver = NULL)
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