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In a study of 81 species of Australian plants Hudson & Keatley (2021) investigated whether the day of occurrence of a species first flowering (first

In a study of 81 species of Australian plants Hudson & Keatley (2021) investigated whether the day of occurrence of a species first flowering (first flowering day, FFD, a number between 1 -365) is impacted by climate factors such as rainfall (rain), temperature (temp), radiation level (rad), and relative humidity (RH). The study by Hudson & Keatley essentially explores the influence of long-term climate on the FFD of 81 species of plants from 1984 to 2014.

Your data focuses on one species (of the 81) and contains 5 time series, the FFD time series of the given plant species and the contemporaneous yearly averaged climate variables measured from 1984 - 2014 (31 years). All series are available here inFFD .csvDownload FFD .csv

Your task is to model FFD and forecast FFD. Single climate predictors (univariate models) are to be tested. Your task is to give best FFD 4 years ahead forecasts for the FFD series. Point forecasts and confidence intervals are required for the forecasts with appropriate graphs.

Provide the point forecasts and confidence intervals and corresponding plot for the most optimal model foreach method used(DLM, ARDL, polyck, koyck, dynamic, exponential smoothing and state-space model).

Use MASE() function from the dLagM package to compute MASE for time series regression methods for model comparisons. Choice of optimal models within a specific method can be assessed from values of R squared, AIC, BIC, MASE etc (as is appropriate to the method).

Hints:

  • Perform univariate analyse of predictors.
  • Run models with and without intercept.
  • Interpret the lag effects - note positive lag coefficient means that flowering is later and negative ones earlier flowering (lower FFD).
  • Intercept denotes the intercept mean FFD. You are to analyse one given species (on Canvas).
  • Plots are essential ACF PACF, forecasts etc.
  • Percentiles method for relevant covariates for the forecasts can be used.

I JUST NEED THE R CODE FOR THIS IN RMD FORMAT.

THE FIRST PART IN THE BELOW LINK CAN HELP YOU SOLVE THIS QUESTION

https://rpubs.com/AnnaKrinochkina/537658

BELOW IS THE CSV FILE OR THE INPUT DATA.

FDD.csv

Year Temperature Rainfall Radiation RelHumidity FFD
1984 9.371585 2.489344 14.87158 93.9265 217
1985 9.656164 2.47589 14.68493 94.93589 186
1986 9.273973 2.42137 14.51507 94.09507 233
1987 9.219178 2.319726 14.67397 94.49699 222
1988 10.20219 2.465301 14.74863 94.08142 214
1989 9.441096 2.73589 14.78356 96.08685 237
1990 9.943836 2.39863 14.67671 93.77918 213
1991 9.690411 2.635616 14.41096 93.15562 206
1992 9.691257 2.795902 13.39617 94.09863 188
1993 9.947945 2.87863 14.26575 94.91973 234
1994 9.316438 1.974795 14.52329 93.26932 264
1995 9.164384 2.843288 13.90411 94.45863 196
1996 8.967213 2.814754 14.3306 94.6 229
1997 9.038356 1.403014 14.77534 93.74685 212
1998 8.934247 2.289041 14.6 94.60822 244
1999 9.547945 2.126301 14.6137 96.22603 178
2000 9.680328 2.471858 14.65574 95.65738 154
2001 9.561644 2.227945 14.14521 94.70712 207
2002 9.389041 1.74 14.63836 93.53233 182
2003 9.210959 2.270411 15.11233 94.47096 218
2004 9.300546 2.620492 14.64481 95.01421 192
2005 9.623288 2.28411 15.09315 94.30356 199
2006 8.715068 1.78137 15.41096 94.84493 200
2007 9.80137 2.191233 15.19452 94.11068 225
2008 9.034153 1.743169 14.80328 94.39508 216
2009 9.457534 2.03863 15.12877 94.63096 197
2010 9.765753 2.777808 14.29315 96.05205 230
2011 9.826027 2.886301 14.01096 95.70603 204
2012 9.76776 2.599454 14.4071 94.90519 233
2013 10.09726 2.540274 14.43014 93.83479 174
2014 10.24725 2.239286 14.60165 94.21016 189

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