areaovate | R Documentation |
areaovate
is used to calculate the area of an ovate polygon made
from combing two symmetrical curves generated by a performance equation (e.g., MLRFE
).
areaovate(expr, 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)
expr |
a performance equation or one of its simplified versions. |
P |
the parameters of the performance equation or one of its simplified versions. |
simpver |
an optional argument to use the simplfied version of the performance 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 performance equations denote MbetaE
, MBriereE
,
MLRFE
, and their simplified versions.
The arguments of P
and simpver
should correspond
to expr
(i.e., MbetaE
or MBriereE
or MLRFE
).
The area of two symmetrical curves along the x
-axis
generated by a performance equation or one of its simplified versions.
Here, the user can define other performance equations, but new equations or
their simplified versions should include the lower and upper thresholds in
the x
-axis corresponding to y = 0
, whose indices should
be the same as those in MbetaE
or MBriereE
or MLRFE
.
Peijian Shi pjshi@njfu.edu.cn, Johan Gielis johan.gielis@uantwerpen.be, Brady K. Quinn Brady.Quinn@dfo-mpo.gc.ca.
Jin, J., Quinn, B.K., Shi, P. (2022) The modified Brière equation and its applications. Plants 11, 1769. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.3390/plants11131769")}
Shi, P., Fan, M., Ratkowsky, D.A., Huang, J., Wu, H., Chen, L., Fang, S.,
Zhang, C. (2017) Comparison of two ontogenetic growth equations for animals and plants.
Ecological Modelling 349, 1-
10. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1016/j.ecolmodel.2017.01.012")}
Shi, P., Gielis, J., Quinn, B.K., Niklas, K.J., Ratkowsky, D.A., Schrader, J., Ruan, H.,
Wang, L., Niinemets, Ü. (2022) 'biogeom': An R package for simulating and fitting natural
shapes. Annals of the New York Academy of Sciences 1516, 123-
134. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1111/nyas.14862")}
Shi, P., Yu, K., Niklas, K.J., Schrader, J., Song, Y., Zhu, R., Li, Y., Wei, H., Ratkowsky, D.A. (2021) A general model for describing the ovate leaf shape. Symmetry 13, 1524. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.3390/sym13081524")}
curveovate
, fitovate
, MbetaE
, MBriereE
,
MLRFE
, MPerformanceE
, sigmoid
Par1 <- c(1.8175, 2.7795, 7.1557, 1.6030)
areaovate(MbetaE, P = Par1, simpver = 1)
Par2 <- c(0.0550, 0.3192, 7.1965, 0.5226)
areaovate(MBriereE, P = Par2, simpver = 1)
Par3 <- c(1.8168, 2.7967, 7.2623, 0.9662)
areaovate(MLRFE, P = Par3, simpver = 1)
Par4 <- c(2.4, 0.96, 0.64, 7.75, 1.76, 3.68)
areaovate(MPerformanceE, P = Par4, simpver = 1)
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