Quantifies the chill accumulation with dynamic equation (two-steps).

dynamic_model(x, total = TRUE)

Arguments

x

Vector containing temperature values (Celsius-degree).

total

TRUE Shows the total value of accumulation, FALSE shows the value of chill for each temperature (TRUE is default).

Value

The function returns values the chill for each temperature of vector (Total = FALSE), or returns the chill accumulation (Total = TRUE).

Details

The model is based on dynamic accumulation, by means of the relationship between temperatures. The dynamic model assumes that the accumulated chill-units are not annulled by high temperatures.

Note

Code adapted from the function Dynamic_Model, of the chillR Package

References

FISHMAN, Svetlana, EREZ, A. & COUVILLON, G. A. (1987). The Temperature Dependence of Dormancy Breaking in Plants: Computer Simulation of Processes Studied Under Controlled Temperatures. J. Theor. Biol.

LUEDELING, Eike (2018). chillR: Statistical Methods for Phenology Analysis in Temperate Fruit Trees. R package version 0.70.12. https://CRAN.R-project.org/package=chillR

Examples

x <- rnorm(500, 10, 5) dynamic_model(x)
#> [1] 8.196734
dynamic_model(x, FALSE)
#> [1] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [6] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [11] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [16] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [21] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [26] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [31] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [36] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [41] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [46] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [51] 0.0000000000 0.0000000000 0.0000000000 1.0072060687 0.0000000000 #> [56] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [61] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [66] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [71] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [76] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [81] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [86] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [91] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [96] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [101] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0001293652 #> [106] 1.0404826518 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [111] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [116] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [121] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [126] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [131] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [136] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [141] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [146] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [151] 0.0000000000 0.0000000000 0.0070293207 1.0087153272 0.0000000000 #> [156] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [161] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [166] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [171] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [176] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [181] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [186] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [191] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [196] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [201] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [206] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [211] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [216] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [221] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [226] 0.0000000000 0.0000000000 0.0000000000 0.9183990611 0.0000000000 #> [231] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [236] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [241] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [246] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [251] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [256] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [261] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [266] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [271] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [276] 0.0000000000 0.2054873070 0.0000000000 0.0000000000 0.0000000000 #> [281] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [286] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 1.0051668102 #> [291] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [296] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [301] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [306] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [311] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [316] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [321] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [326] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [331] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [336] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [341] 0.9846520845 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [346] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [351] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [356] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [361] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [366] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [371] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [376] 0.0000000000 0.0000000000 1.0063422802 0.0000000000 0.0000000000 #> [381] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [386] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [391] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [396] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [401] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [406] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [411] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [416] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [421] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [426] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 1.0131232898 #> [431] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [436] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [441] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [446] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [451] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [456] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [461] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [466] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [471] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [476] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [481] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [486] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [491] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 #> [496] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000