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#'Apply Mann-Kendall trend test.
#'
#'The function determines the trend from data of a single CM SAF NetCDF input
#'file basing on a Mann-Kendall test.
#'
#'@param var Name of NetCDF variable (character).
#'@param infile Filename of input NetCDF file. This may include the directory
#' (character).
#'@param outfile Filename of output NetCDF file. This may include the directory
#' (character).
#'@param nc34 NetCDF version of output file. If \code{nc34 = 3} the output file will be
#' in NetCDFv3 format (numeric). Default output is NetCDFv4.
#'@param overwrite logical; should existing output file be overwritten?
#'@param verbose logical; if TRUE, progress messages are shown
#'@param nc Alternatively to \code{infile} you can specify the input as an
#' object of class `ncdf4` (as returned from \code{ncdf4::nc_open}).
#'
#'@return A NetCDF file including three data layers is written. One layer contains a
#' measure for the significance of the calculated mann-kendall statistic (S). A very
#' high positive value of S is an indicator of an increasing trend and a very low
#' negative value indicates a decreasing trend. Another layer (Z) contains the calculated
#' normalized test statsitic Z. A positive value of Z is an indicator of an increasing
#' trend and a negative value indicates a decreasing trend.
#'@export
#'
#'@family temporal operators
#'
#' @examples
#'## Create an example NetCDF file with a similar structure as used by CM
#'## SAF. The file is created with the ncdf4 package. Alternatively
#'## example data can be freely downloaded here: <https://wui.cmsaf.eu/>
#'
#'library(ncdf4)
#'
#'## create some (non-realistic) example data
#'
#'lon <- seq(10, 15, 0.5)
#'lat <- seq(50, 55, 0.5)
#'time <- seq(as.Date("2000-01-01"), as.Date("2010-12-31"), "month")
#'origin <- as.Date("1983-01-01 00:00:00")
#'time <- as.numeric(difftime(time, origin, units = "hour"))
#'data <- array(250:350, dim = c(11, 11, 132))
#'
#'## create example NetCDF
#'
#'x <- ncdim_def(name = "lon", units = "degrees_east", vals = lon)
#'y <- ncdim_def(name = "lat", units = "degrees_north", vals = lat)
#'t <- ncdim_def(name = "time", units = "hours since 1983-01-01 00:00:00",
#' vals = time, unlim = TRUE)
#'var1 <- ncvar_def("SIS", "W m-2", list(x, y, t), -1, prec = "short")
#'vars <- list(var1)
#'ncnew <- nc_create(file.path(tempdir(),"CMSAF_example_file.nc"), vars)
#'ncvar_put(ncnew, var1, data)
#'ncatt_put(ncnew, "lon", "standard_name", "longitude", prec = "text")
#'ncatt_put(ncnew, "lat", "standard_name", "latitude", prec = "text")
#'nc_close(ncnew)
#'
#'## Determine the trend of the example CM SAF NetCDF file and write the
#'## output to a new file.
#'cmsaf.mk.test(var = "SIS", infile = file.path(tempdir(),
#' "CMSAF_example_file.nc"), outfile = file.path(tempdir(),
#' "CMSAF_example_file_mktrend.nc"))
#'
#'unlink(c(file.path(tempdir(),"CMSAF_example_file.nc"),
#' file.path(tempdir(),"CMSAF_example_file_mktrend.nc")))
cmsaf.mk.test <- local({
target.vector.S <- c()
target.vector.Z <- c()
function(var, infile, outfile, nc34 = 4, overwrite = FALSE, verbose = FALSE, nc = NULL)
{
target.vector.S <<- c()
target.vector.Z <<- c()
gc()
check_variable(var)
if (is.null(nc)) check_infile(infile)
check_outfile(outfile)
outfile <- correct_filename(outfile)
check_overwrite(outfile, overwrite)
check_nc_version(nc34)
calc_time_start <- Sys.time()
S.value <- list(name = "S",
standard_name = "mann-kendall statistic",
long_name = "significance based on mann-kendall statistic",
units = "1",
info = "0 < positive significant, 0 = not significant, 0 > negative significant")
Z.value <- list(name = "Z",
standard_name = "mann-kendall normalized statistic",
long_name = "significance based on mann-kendall normalized statistic",
units = "1",
info = "0 < positive significant, 0 = not significant, 0 > negative significant")
##### extract data from file #####
file_data <- read_file(infile, var, nc = nc)
file_data$variable$prec <- "float"
time_bnds <- get_time_bounds_1(
file_data$dimension_data$t
)
if (!is.null(nc)) nc_in <- nc
else nc_in <- nc_open(infile)
length.dimension.x <- length(file_data$dimension_data$x)
length.dimension.y <- length(file_data$dimension_data$y)
length.dimension.t <- length(file_data$dimension_data$t)
dum_dat_1 <- array(NA, dim = c(length.dimension.x,
length.dimension.y,
length.dimension.t))
for (i in seq_along(file_data$dimension_data$t)) {
dum_dat_t <- ncvar_get(
nc_in,
file_data$variable$name,
start = c(1, 1, i), count = c(-1, -1, 1),
collapse_degen = FALSE
)
dum_dat_1[,,i] <- dum_dat_t
}
if (is.null(nc)) nc_close(nc_in)
dum_dat_t_all <- c()
# calc mk.test
lapply(1:length.dimension.x, function(j){
lapply(1:length.dimension.y, function(k){
for(i in seq(length.dimension.t)){
dum_dat_t_all <- append(dum_dat_t_all, dum_dat_1[j,k,i])
}
if(all(is.na(dum_dat_t_all))) # check na
{
target.vector.S <<- append(target.vector.S, 0)
target.vector.Z <<- append(target.vector.Z, 0)
}
else{
dum_dat_t_all[is.na(dum_dat_t_all)] <- 0
result.mk.test <- trend::mk.test(as.vector(dum_dat_t_all), continuity = TRUE)
target.vector.S <<- append(target.vector.S, result.mk.test$estimates[[1]])
target.vector.Z <<- append(target.vector.Z, result.mk.test$statistic[[1]])
}
dum_dat_t_all <- c()
})
})
# transform S vector
result_array_S <- array(numeric(),c(length.dimension.x,length.dimension.y,1))
for(i in 1:length(target.vector.S)){
result_array_S[i] <- target.vector.S[i]
}
target.S <- aperm(result_array_S)
# transform Z vector
result_array_Z <- array(numeric(),c(length.dimension.x,length.dimension.y,1))
for(i in 1:length(target.vector.Z)){
result_array_Z[i] <- target.vector.Z[i]
}
target.Z <- aperm(result_array_Z)
result <- list(target.S = target.S, target.Z = target.Z)
vars_data <- list(result = result, time_bounds = time_bnds)
nc_format <- get_nc_version(nc34)
cmsaf_info <- paste0("cmsafops::cmsaf.mk.test for variable ",
file_data$variable$name)
time_data <- time_bnds[1, ]
##### prepare output #####
global_att_list <- names(file_data$global_att)
global_att_list <- global_att_list[toupper(global_att_list) %in% toupper(GLOBAL_ATT_DEFAULT)]
global_attributes <- file_data$global_att[global_att_list]
dims <- define_dims(file_data$grid$is_regular,
file_data$dimension_data$x,
file_data$dimension_data$y,
time_data,
NB2,
file_data$time_info$units)
vars <- define_vars_mk.test(file_data$variable, dims, nc_format$compression, S.value, Z.value)
write_output_file_mk.test(
outfile,
nc_format$force_v4,
vars,
vars_data,
file_data$variable$name,
file_data$grid$vars, file_data$grid$vars_data,
S.value, Z.value, file_data$variable$attributes$standard_name,
cmsaf_info,
file_data$time_info$calendar,
file_data$variable$attributes,
global_attributes
)
calc_time_end <- Sys.time()
if (verbose) message(get_processing_time_string(calc_time_start, calc_time_end))
}
})
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