calculateRSS

A list of data frames, where each frame contains the data for one individual. Every
data frame should have two columns with names 'distance' and 'oxygen'.

paths

A vector of integers showing which individuals are considered in the group.

Denotes the order of the bandwidth that should be used in the estimation process.
bandwidth = k will mean that the bandwidth is n^k.

bandwidth

SCEM uses the residual sum of squares for each group to give a sense of the error in estimation. It is defined by:RSS(S_q) = _k S_q _i = 1^n_k ||y_k,i - _S_q (in_k) - c_k||^2ASCII representation
(See Chazin et al. 2019, Supplemental Materials 1).
The trend function for each individual time series is estimated non-parametrically
by the local linear estimate (as discussed in Fan and Gijbels (1996)). Then, the common trend
function for the group is estimated by taking the average over the group. Next, the shift functions
are estimated as the differences from the individual trend functions and finally, the residual sum
of squares are calculated using the original values, the common trend functions and the shifts.

We introduce improved methods for statistically assessing birth seasonality and intra-annual variation. The first method we propose is a new idea that uses a nonparametric clustering procedure to group individuals with similar time series data and estimate birth seasonality based on the clusters. One can use the function SCEM() to implement this method. The second method estimates input parameters for use with a previously-developed parametric approach (Tornero et al., 2013). The relevant code for this approach is makeFits_OLS(), while makeFits_initial() is the code to implement the same method but with given initial conditions for two parameters. The latter can be used to show the disadvantage of the existing approach. One can use the function makeFits() to generate parametric birth seasonality estimates using either initialization. Detailed description can be found here: Chazin Hannah, Soudeep Deb, Joshua Falk, and Arun Srinivasan. (2019) "New Statistical Approaches to Intra-Individual Isotopic Analysis and Modeling Birth Seasonality in Studies of Herd Animals." <doi:10.1111/arcm.12432>.

calculateRSS: Residual sum of squares (RSS) for all time series in a group.

Description

Usage

Arguments

Value

Examples