Key:

rm(list = ls()) # Clean environment.
## Set working directory and path:
setwd("/Users/bmishra/Dropbox/OSU/PhD/Dissertation/Push and FVS/RWI Simulation")

## Load Libraries:
library(dplyr, warn.conflicts = F, mask.ok = T) # Data Management.
library(tidyverse, quietly = T, mask.ok = T) # Data Management.
## ── Attaching packages ─────────────────────────────────────── tidyverse 1.3.0 ──
## ✓ ggplot2 3.3.5     ✓ purrr   0.3.4
## ✓ tibble  3.1.3     ✓ stringr 1.4.0
## ✓ tidyr   1.1.3     ✓ forcats 0.5.1
## ✓ readr   2.0.0
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## x dplyr::filter() masks stats::filter()
## x dplyr::lag()    masks stats::lag()
library(readxl, quietly = T, mask.ok = T) # Read excel.
library(ggplot2, quietly = T, mask.ok = T) # Plot Data.

# RWI Simulation:
path.to.excel = "/Users/bmishra/Dropbox/OSU/PhD/Dissertation/Push and FVS/Data Backup From Push/Arjun Data Backup/pushDendroNoutlierAnalysis2018allmgpi.xlsx"
treatments = excel_sheets(path.to.excel)
treatments = treatments[c(2, # Control
                          3, # HT Co dominant
                          7, # HT2
                          8, # HT3
                          9  # HT4
                          )]
treatments
## [1] "cont"  "htcod" "ht2"   "ht3"   "ht4"
# Loop for all treatments:
for (treatment in treatments){
  push.org = read_excel(path.to.excel,
                        sheet = treatment,
                        col_names = T,
                        col_types = "numeric",
                        trim_ws = T)

# Precipitation and RWI data from Push:
push = push.org %>%
  select(year, ann_rwi_avg, pp_grow)
# Add % pp to original pp and predict new rwi:
increment.pp = seq(from = 0.1, to = 0.5, by = 0.1)
for (increment in increment.pp) {
  push = push %>%
    mutate(new.pp = pp_grow + pp_grow*increment)

 rwi.pred = predict(lm(ann_rwi_avg ~ pp_grow,
                       data = push),
                    newdata = list(pp_grow = push$new.pp),
                    se.fit = T)

 print(treatment) # Treatment Name
 cat(increment, "Added proportion to original grow pp.",
     fill = T) # Added % pp.
 cat("Mean of predicted RWIs = ", mean(rwi.pred$fit), fill = T) # Average RWIs
 
 rwi.pred.table = as.data.frame(cbind(push$year,
                                      round(rwi.pred$fit, 2),
                                      push$pp_grow,
                                      increment,
                                      push$new.pp,
                                      round(push$ann_rwi_avg, 2)))
 names(rwi.pred.table) = c("Year", "Pred. RWI", "Grow PP",
                           "Increment PP.", "New Grow PP", "Org. RWI")
 print(rwi.pred.table)

# Plot Original RWI and Predicted RWI:
df = rwi.pred.table %>%
  select(Year, `Org. RWI`, `Pred. RWI`) %>%
  gather(key = "RWI", value = "value", - Year)

plot.rwis = ggplot(df, aes(x = Year, y = value)) +
  geom_line(aes(color = RWI), size = 1) +
  scale_color_manual(values = c("red", "green")) +
  theme_minimal()
print(plot.rwis)
}

# Add % pp to original pp and predict new rwi:
for (increment in increment.pp) {
  push = push %>%
    mutate(new.pp = pp_grow - pp_grow*increment)

  rwi.pred = predict(lm(ann_rwi_avg ~ pp_grow, 
                        data = push),
                     newdata = list(pp_grow = push$new.pp), 
                     se.fit = T)
  
  print(treatment) # Treatment Name
  cat(increment, "subracted porportion to original grow pp.", 
      fill = T) # Subtracted pp.
 cat("Mean of predicted RWIs = ", mean(rwi.pred$fit), fill = T) # Average RWIs
 
  rwi.pred.table = as.data.frame(cbind(push$year,
                                     round(rwi.pred$fit, 2),
                                     push$pp_grow,
                                     increment,
                                     push$new.pp,
                                     round(push$ann_rwi_avg, 2)))
  names(rwi.pred.table) = c("Year",  "Pred. RWI", "Grow PP",
                          "Increment PP.", "New Grow PP", "Org. RWI")
  print(rwi.pred.table)

# Plot Original RWI and Predicted RWI:
df = rwi.pred.table %>%
  select(Year, `Org. RWI`, `Pred. RWI`) %>%
  gather(key = "RWI", value = "value", - Year)

plot.rwis = ggplot(df, aes(x = Year, y = value)) +
  geom_line(aes(color = RWI), size = 1) +
  scale_color_manual(values = c("red", "green")) +
  theme_minimal()
}
 }
## [1] "cont"
## 0.1 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.052812
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.01     712           0.1       783.2     1.24
## 2  1988      0.88     529           0.1       581.9     0.81
## 3  1989      1.15     901           0.1       991.1     0.92
## 4  1990      1.43    1300           0.1      1430.0     1.26
## 5  1991      1.00     693           0.1       762.3     1.02
## 6  1992      1.33    1155           0.1      1270.5     1.51
## 7  1993      1.07     797           0.1       876.7     1.13
## 8  1994      1.05     767           0.1       843.7     1.14
## 9  1995      1.14     896           0.1       985.6     1.07
## 10 1996      1.24    1039           0.1      1142.9     1.12
## 11 1997      0.92     575           0.1       632.5     0.51
## 12 1998      0.88     520           0.1       572.0     0.74
## 13 1999      1.01     701           0.1       771.1     0.61
## 14 2000      0.94     607           0.1       667.7     0.91
## 15 2001      1.01     703           0.1       773.3     1.06
## 16 2002      1.01     713           0.1       784.3     0.79
## 17 2003      0.94     605           0.1       665.5     0.79
## 18 2004      1.02     726           0.1       798.6     1.10
## 19 2005      0.85     480           0.1       528.0     0.73
## 20 2006      0.91     571           0.1       628.1     0.53
## 21 2007      1.30    1112           0.1      1223.2     0.84
## 22 2008      1.14     889           0.1       977.9     1.11
## 23 2009      1.18     948           0.1      1042.8     0.98
## 24 2010      0.88     517           0.1       568.7     0.86
## 25 2011      0.93     594           0.1       653.4     0.72
## 26 2012      0.83     450           0.1       495.0     0.96
## 27 2013      1.09     819           0.1       900.9     0.93
## 28 2014      1.04     748           0.1       822.8     1.48
## 29 2015      1.36    1203           0.1      1323.3     1.12
## 30 2016      1.05     761           0.1       837.1     1.30
## 31 2017      1.11     856           0.1       941.6     1.61
## 32 2018      1.01     704           0.1       774.4     1.24

## [1] "cont"
## 0.2 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.102194
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.06     712           0.2       854.4     1.24
## 2  1988      0.92     529           0.2       634.8     0.81
## 3  1989      1.20     901           0.2      1081.2     0.92
## 4  1990      1.51    1300           0.2      1560.0     1.26
## 5  1991      1.04     693           0.2       831.6     1.02
## 6  1992      1.40    1155           0.2      1386.0     1.51
## 7  1993      1.12     797           0.2       956.4     1.13
## 8  1994      1.10     767           0.2       920.4     1.14
## 9  1995      1.20     896           0.2      1075.2     1.07
## 10 1996      1.31    1039           0.2      1246.8     1.12
## 11 1997      0.95     575           0.2       690.0     0.51
## 12 1998      0.91     520           0.2       624.0     0.74
## 13 1999      1.05     701           0.2       841.2     0.61
## 14 2000      0.98     607           0.2       728.4     0.91
## 15 2001      1.05     703           0.2       843.6     1.06
## 16 2002      1.06     713           0.2       855.6     0.79
## 17 2003      0.98     605           0.2       726.0     0.79
## 18 2004      1.07     726           0.2       871.2     1.10
## 19 2005      0.88     480           0.2       576.0     0.73
## 20 2006      0.95     571           0.2       685.2     0.53
## 21 2007      1.37    1112           0.2      1334.4     0.84
## 22 2008      1.20     889           0.2      1066.8     1.11
## 23 2009      1.24     948           0.2      1137.6     0.98
## 24 2010      0.91     517           0.2       620.4     0.86
## 25 2011      0.97     594           0.2       712.8     0.72
## 26 2012      0.86     450           0.2       540.0     0.96
## 27 2013      1.14     819           0.2       982.8     0.93
## 28 2014      1.09     748           0.2       897.6     1.48
## 29 2015      1.44    1203           0.2      1443.6     1.12
## 30 2016      1.10     761           0.2       913.2     1.30
## 31 2017      1.17     856           0.2      1027.2     1.61
## 32 2018      1.05     704           0.2       844.8     1.24

## [1] "cont"
## 0.3 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.151575
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.10     712           0.3       925.6     1.24
## 2  1988      0.95     529           0.3       687.7     0.81
## 3  1989      1.26     901           0.3      1171.3     0.92
## 4  1990      1.60    1300           0.3      1690.0     1.26
## 5  1991      1.09     693           0.3       900.9     1.02
## 6  1992      1.47    1155           0.3      1501.5     1.51
## 7  1993      1.18     797           0.3      1036.1     1.13
## 8  1994      1.15     767           0.3       997.1     1.14
## 9  1995      1.26     896           0.3      1164.8     1.07
## 10 1996      1.38    1039           0.3      1350.7     1.12
## 11 1997      0.99     575           0.3       747.5     0.51
## 12 1998      0.94     520           0.3       676.0     0.74
## 13 1999      1.10     701           0.3       911.3     0.61
## 14 2000      1.02     607           0.3       789.1     0.91
## 15 2001      1.10     703           0.3       913.9     1.06
## 16 2002      1.11     713           0.3       926.9     0.79
## 17 2003      1.02     605           0.3       786.5     0.79
## 18 2004      1.12     726           0.3       943.8     1.10
## 19 2005      0.91     480           0.3       624.0     0.73
## 20 2006      0.99     571           0.3       742.3     0.53
## 21 2007      1.44    1112           0.3      1445.6     0.84
## 22 2008      1.25     889           0.3      1155.7     1.11
## 23 2009      1.30     948           0.3      1232.4     0.98
## 24 2010      0.94     517           0.3       672.1     0.86
## 25 2011      1.01     594           0.3       772.2     0.72
## 26 2012      0.89     450           0.3       585.0     0.96
## 27 2013      1.19     819           0.3      1064.7     0.93
## 28 2014      1.13     748           0.3       972.4     1.48
## 29 2015      1.51    1203           0.3      1563.9     1.12
## 30 2016      1.15     761           0.3       989.3     1.30
## 31 2017      1.22     856           0.3      1112.8     1.61
## 32 2018      1.10     704           0.3       915.2     1.24

## [1] "cont"
## 0.4 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.200956
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.15     712           0.4       996.8     1.24
## 2  1988      0.99     529           0.4       740.6     0.81
## 3  1989      1.32     901           0.4      1261.4     0.92
## 4  1990      1.68    1300           0.4      1820.0     1.26
## 5  1991      1.13     693           0.4       970.2     1.02
## 6  1992      1.55    1155           0.4      1617.0     1.51
## 7  1993      1.23     797           0.4      1115.8     1.13
## 8  1994      1.20     767           0.4      1073.8     1.14
## 9  1995      1.32     896           0.4      1254.4     1.07
## 10 1996      1.44    1039           0.4      1454.6     1.12
## 11 1997      1.03     575           0.4       805.0     0.51
## 12 1998      0.98     520           0.4       728.0     0.74
## 13 1999      1.14     701           0.4       981.4     0.61
## 14 2000      1.06     607           0.4       849.8     0.91
## 15 2001      1.14     703           0.4       984.2     1.06
## 16 2002      1.15     713           0.4       998.2     0.79
## 17 2003      1.05     605           0.4       847.0     0.79
## 18 2004      1.16     726           0.4      1016.4     1.10
## 19 2005      0.94     480           0.4       672.0     0.73
## 20 2006      1.02     571           0.4       799.4     0.53
## 21 2007      1.51    1112           0.4      1556.8     0.84
## 22 2008      1.31     889           0.4      1244.6     1.11
## 23 2009      1.36     948           0.4      1327.2     0.98
## 24 2010      0.97     517           0.4       723.8     0.86
## 25 2011      1.04     594           0.4       831.6     0.72
## 26 2012      0.91     450           0.4       630.0     0.96
## 27 2013      1.25     819           0.4      1146.6     0.93
## 28 2014      1.18     748           0.4      1047.2     1.48
## 29 2015      1.59    1203           0.4      1684.2     1.12
## 30 2016      1.19     761           0.4      1065.4     1.30
## 31 2017      1.28     856           0.4      1198.4     1.61
## 32 2018      1.14     704           0.4       985.6     1.24

## [1] "cont"
## 0.5 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.250337
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.20     712           0.5      1068.0     1.24
## 2  1988      1.02     529           0.5       793.5     0.81
## 3  1989      1.38     901           0.5      1351.5     0.92
## 4  1990      1.76    1300           0.5      1950.0     1.26
## 5  1991      1.18     693           0.5      1039.5     1.02
## 6  1992      1.62    1155           0.5      1732.5     1.51
## 7  1993      1.28     797           0.5      1195.5     1.13
## 8  1994      1.25     767           0.5      1150.5     1.14
## 9  1995      1.37     896           0.5      1344.0     1.07
## 10 1996      1.51    1039           0.5      1558.5     1.12
## 11 1997      1.06     575           0.5       862.5     0.51
## 12 1998      1.01     520           0.5       780.0     0.74
## 13 1999      1.19     701           0.5      1051.5     0.61
## 14 2000      1.09     607           0.5       910.5     0.91
## 15 2001      1.19     703           0.5      1054.5     1.06
## 16 2002      1.20     713           0.5      1069.5     0.79
## 17 2003      1.09     605           0.5       907.5     0.79
## 18 2004      1.21     726           0.5      1089.0     1.10
## 19 2005      0.97     480           0.5       720.0     0.73
## 20 2006      1.06     571           0.5       856.5     0.53
## 21 2007      1.58    1112           0.5      1668.0     0.84
## 22 2008      1.37     889           0.5      1333.5     1.11
## 23 2009      1.42     948           0.5      1422.0     0.98
## 24 2010      1.01     517           0.5       775.5     0.86
## 25 2011      1.08     594           0.5       891.0     0.72
## 26 2012      0.94     450           0.5       675.0     0.96
## 27 2013      1.30     819           0.5      1228.5     0.93
## 28 2014      1.23     748           0.5      1122.0     1.48
## 29 2015      1.67    1203           0.5      1804.5     1.12
## 30 2016      1.24     761           0.5      1141.5     1.30
## 31 2017      1.33     856           0.5      1284.0     1.61
## 32 2018      1.19     704           0.5      1056.0     1.24

## [1] "cont"
## 0.1 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.95405
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.92     712           0.1       640.8     1.24
## 2  1988      0.82     529           0.1       476.1     0.81
## 3  1989      1.03     901           0.1       810.9     0.92
## 4  1990      1.26    1300           0.1      1170.0     1.26
## 5  1991      0.91     693           0.1       623.7     1.02
## 6  1992      1.18    1155           0.1      1039.5     1.51
## 7  1993      0.97     797           0.1       717.3     1.13
## 8  1994      0.95     767           0.1       690.3     1.14
## 9  1995      1.03     896           0.1       806.4     1.07
## 10 1996      1.11    1039           0.1       935.1     1.12
## 11 1997      0.84     575           0.1       517.5     0.51
## 12 1998      0.81     520           0.1       468.0     0.74
## 13 1999      0.92     701           0.1       630.9     0.61
## 14 2000      0.86     607           0.1       546.3     0.91
## 15 2001      0.92     703           0.1       632.7     1.06
## 16 2002      0.92     713           0.1       641.7     0.79
## 17 2003      0.86     605           0.1       544.5     0.79
## 18 2004      0.93     726           0.1       653.4     1.10
## 19 2005      0.79     480           0.1       432.0     0.73
## 20 2006      0.84     571           0.1       513.9     0.53
## 21 2007      1.15    1112           0.1      1000.8     0.84
## 22 2008      1.02     889           0.1       800.1     1.11
## 23 2009      1.06     948           0.1       853.2     0.98
## 24 2010      0.81     517           0.1       465.3     0.86
## 25 2011      0.85     594           0.1       534.6     0.72
## 26 2012      0.77     450           0.1       405.0     0.96
## 27 2013      0.98     819           0.1       737.1     0.93
## 28 2014      0.94     748           0.1       673.2     1.48
## 29 2015      1.21    1203           0.1      1082.7     1.12
## 30 2016      0.95     761           0.1       684.9     1.30
## 31 2017      1.00     856           0.1       770.4     1.61
## 32 2018      0.92     704           0.1       633.6     1.24
## [1] "cont"
## 0.2 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.9046688
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.88     712           0.2       569.6     1.24
## 2  1988      0.78     529           0.2       423.2     0.81
## 3  1989      0.97     901           0.2       720.8     0.92
## 4  1990      1.18    1300           0.2      1040.0     1.26
## 5  1991      0.87     693           0.2       554.4     1.02
## 6  1992      1.10    1155           0.2       924.0     1.51
## 7  1993      0.92     797           0.2       637.6     1.13
## 8  1994      0.90     767           0.2       613.6     1.14
## 9  1995      0.97     896           0.2       716.8     1.07
## 10 1996      1.04    1039           0.2       831.2     1.12
## 11 1997      0.81     575           0.2       460.0     0.51
## 12 1998      0.78     520           0.2       416.0     0.74
## 13 1999      0.87     701           0.2       560.8     0.61
## 14 2000      0.82     607           0.2       485.6     0.91
## 15 2001      0.87     703           0.2       562.4     1.06
## 16 2002      0.88     713           0.2       570.4     0.79
## 17 2003      0.82     605           0.2       484.0     0.79
## 18 2004      0.88     726           0.2       580.8     1.10
## 19 2005      0.76     480           0.2       384.0     0.73
## 20 2006      0.80     571           0.2       456.8     0.53
## 21 2007      1.08    1112           0.2       889.6     0.84
## 22 2008      0.97     889           0.2       711.2     1.11
## 23 2009      1.00     948           0.2       758.4     0.98
## 24 2010      0.78     517           0.2       413.6     0.86
## 25 2011      0.81     594           0.2       475.2     0.72
## 26 2012      0.74     450           0.2       360.0     0.96
## 27 2013      0.93     819           0.2       655.2     0.93
## 28 2014      0.89     748           0.2       598.4     1.48
## 29 2015      1.13    1203           0.2       962.4     1.12
## 30 2016      0.90     761           0.2       608.8     1.30
## 31 2017      0.95     856           0.2       684.8     1.61
## 32 2018      0.87     704           0.2       563.2     1.24
## [1] "cont"
## 0.3 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.8552876
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.83     712           0.3       498.4     1.24
## 2  1988      0.75     529           0.3       370.3     0.81
## 3  1989      0.91     901           0.3       630.7     0.92
## 4  1990      1.09    1300           0.3       910.0     1.26
## 5  1991      0.82     693           0.3       485.1     1.02
## 6  1992      1.03    1155           0.3       808.5     1.51
## 7  1993      0.87     797           0.3       557.9     1.13
## 8  1994      0.85     767           0.3       536.9     1.14
## 9  1995      0.91     896           0.3       627.2     1.07
## 10 1996      0.98    1039           0.3       727.3     1.12
## 11 1997      0.77     575           0.3       402.5     0.51
## 12 1998      0.74     520           0.3       364.0     0.74
## 13 1999      0.82     701           0.3       490.7     0.61
## 14 2000      0.78     607           0.3       424.9     0.91
## 15 2001      0.83     703           0.3       492.1     1.06
## 16 2002      0.83     713           0.3       499.1     0.79
## 17 2003      0.78     605           0.3       423.5     0.79
## 18 2004      0.84     726           0.3       508.2     1.10
## 19 2005      0.73     480           0.3       336.0     0.73
## 20 2006      0.77     571           0.3       399.7     0.53
## 21 2007      1.01    1112           0.3       778.4     0.84
## 22 2008      0.91     889           0.3       622.3     1.11
## 23 2009      0.94     948           0.3       663.6     0.98
## 24 2010      0.74     517           0.3       361.9     0.86
## 25 2011      0.78     594           0.3       415.8     0.72
## 26 2012      0.71     450           0.3       315.0     0.96
## 27 2013      0.88     819           0.3       573.3     0.93
## 28 2014      0.85     748           0.3       523.6     1.48
## 29 2015      1.05    1203           0.3       842.1     1.12
## 30 2016      0.85     761           0.3       532.7     1.30
## 31 2017      0.89     856           0.3       599.2     1.61
## 32 2018      0.83     704           0.3       492.8     1.24
## [1] "cont"
## 0.4 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.8059064
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.78     712           0.4       427.2     1.24
## 2  1988      0.71     529           0.4       317.4     0.81
## 3  1989      0.86     901           0.4       540.6     0.92
## 4  1990      1.01    1300           0.4       780.0     1.26
## 5  1991      0.78     693           0.4       415.8     1.02
## 6  1992      0.95    1155           0.4       693.0     1.51
## 7  1993      0.82     797           0.4       478.2     1.13
## 8  1994      0.81     767           0.4       460.2     1.14
## 9  1995      0.86     896           0.4       537.6     1.07
## 10 1996      0.91    1039           0.4       623.4     1.12
## 11 1997      0.73     575           0.4       345.0     0.51
## 12 1998      0.71     520           0.4       312.0     0.74
## 13 1999      0.78     701           0.4       420.6     0.61
## 14 2000      0.74     607           0.4       364.2     0.91
## 15 2001      0.78     703           0.4       421.8     1.06
## 16 2002      0.78     713           0.4       427.8     0.79
## 17 2003      0.74     605           0.4       363.0     0.79
## 18 2004      0.79     726           0.4       435.6     1.10
## 19 2005      0.69     480           0.4       288.0     0.73
## 20 2006      0.73     571           0.4       342.6     0.53
## 21 2007      0.94    1112           0.4       667.2     0.84
## 22 2008      0.85     889           0.4       533.4     1.11
## 23 2009      0.88     948           0.4       568.8     0.98
## 24 2010      0.71     517           0.4       310.2     0.86
## 25 2011      0.74     594           0.4       356.4     0.72
## 26 2012      0.68     450           0.4       270.0     0.96
## 27 2013      0.83     819           0.4       491.4     0.93
## 28 2014      0.80     748           0.4       448.8     1.48
## 29 2015      0.97    1203           0.4       721.8     1.12
## 30 2016      0.80     761           0.4       456.6     1.30
## 31 2017      0.84     856           0.4       513.6     1.61
## 32 2018      0.78     704           0.4       422.4     1.24
## [1] "cont"
## 0.5 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.7565253
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.74     712           0.5       356.0     1.24
## 2  1988      0.68     529           0.5       264.5     0.81
## 3  1989      0.80     901           0.5       450.5     0.92
## 4  1990      0.93    1300           0.5       650.0     1.26
## 5  1991      0.73     693           0.5       346.5     1.02
## 6  1992      0.88    1155           0.5       577.5     1.51
## 7  1993      0.77     797           0.5       398.5     1.13
## 8  1994      0.76     767           0.5       383.5     1.14
## 9  1995      0.80     896           0.5       448.0     1.07
## 10 1996      0.84    1039           0.5       519.5     1.12
## 11 1997      0.69     575           0.5       287.5     0.51
## 12 1998      0.68     520           0.5       260.0     0.74
## 13 1999      0.73     701           0.5       350.5     0.61
## 14 2000      0.70     607           0.5       303.5     0.91
## 15 2001      0.74     703           0.5       351.5     1.06
## 16 2002      0.74     713           0.5       356.5     0.79
## 17 2003      0.70     605           0.5       302.5     0.79
## 18 2004      0.74     726           0.5       363.0     1.10
## 19 2005      0.66     480           0.5       240.0     0.73
## 20 2006      0.69     571           0.5       285.5     0.53
## 21 2007      0.87    1112           0.5       556.0     0.84
## 22 2008      0.80     889           0.5       444.5     1.11
## 23 2009      0.81     948           0.5       474.0     0.98
## 24 2010      0.68     517           0.5       258.5     0.86
## 25 2011      0.70     594           0.5       297.0     0.72
## 26 2012      0.65     450           0.5       225.0     0.96
## 27 2013      0.77     819           0.5       409.5     0.93
## 28 2014      0.75     748           0.5       374.0     1.48
## 29 2015      0.90    1203           0.5       601.5     1.12
## 30 2016      0.75     761           0.5       380.5     1.30
## 31 2017      0.78     856           0.5       428.0     1.61
## 32 2018      0.74     704           0.5       352.0     1.24
## [1] "htcod"
## 0.1 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.086861
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.05     712           0.1       783.2     1.30
## 2  1988      0.94     529           0.1       581.9     0.93
## 3  1989      1.17     901           0.1       991.1     1.18
## 4  1990      1.41    1300           0.1      1430.0     1.21
## 5  1991      1.04     693           0.1       762.3     1.02
## 6  1992      1.32    1155           0.1      1270.5     1.47
## 7  1993      1.10     797           0.1       876.7     1.15
## 8  1994      1.09     767           0.1       843.7     1.27
## 9  1995      1.17     896           0.1       985.6     1.29
## 10 1996      1.25    1039           0.1      1142.9     1.21
## 11 1997      0.97     575           0.1       632.5     0.76
## 12 1998      0.93     520           0.1       572.0     0.85
## 13 1999      1.05     701           0.1       771.1     1.02
## 14 2000      0.99     607           0.1       667.7     1.04
## 15 2001      1.05     703           0.1       773.3     1.23
## 16 2002      1.05     713           0.1       784.3     0.90
## 17 2003      0.99     605           0.1       665.5     0.88
## 18 2004      1.06     726           0.1       798.6     1.23
## 19 2005      0.91     480           0.1       528.0     0.80
## 20 2006      0.97     571           0.1       628.1     0.75
## 21 2007      1.30    1112           0.1      1223.2     1.01
## 22 2008      1.16     889           0.1       977.9     1.28
## 23 2009      1.20     948           0.1      1042.8     1.11
## 24 2010      0.93     517           0.1       568.7     0.90
## 25 2011      0.98     594           0.1       653.4     0.70
## 26 2012      0.89     450           0.1       495.0     0.81
## 27 2013      1.12     819           0.1       900.9     0.85
## 28 2014      1.07     748           0.1       822.8     1.19
## 29 2015      1.35    1203           0.1      1323.3     1.04
## 30 2016      1.08     761           0.1       837.1     1.15
## 31 2017      1.14     856           0.1       941.6     1.08
## 32 2018      1.05     704           0.1       774.4     0.84

## [1] "htcod"
## 0.2 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.129876
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.09     712           0.2       854.4     1.30
## 2  1988      0.97     529           0.2       634.8     0.93
## 3  1989      1.22     901           0.2      1081.2     1.18
## 4  1990      1.49    1300           0.2      1560.0     1.21
## 5  1991      1.08     693           0.2       831.6     1.02
## 6  1992      1.39    1155           0.2      1386.0     1.47
## 7  1993      1.15     797           0.2       956.4     1.15
## 8  1994      1.13     767           0.2       920.4     1.27
## 9  1995      1.22     896           0.2      1075.2     1.29
## 10 1996      1.31    1039           0.2      1246.8     1.21
## 11 1997      1.00     575           0.2       690.0     0.76
## 12 1998      0.96     520           0.2       624.0     0.85
## 13 1999      1.08     701           0.2       841.2     1.02
## 14 2000      1.02     607           0.2       728.4     1.04
## 15 2001      1.09     703           0.2       843.6     1.23
## 16 2002      1.09     713           0.2       855.6     0.90
## 17 2003      1.02     605           0.2       726.0     0.88
## 18 2004      1.10     726           0.2       871.2     1.23
## 19 2005      0.94     480           0.2       576.0     0.80
## 20 2006      1.00     571           0.2       685.2     0.75
## 21 2007      1.36    1112           0.2      1334.4     1.01
## 22 2008      1.21     889           0.2      1066.8     1.28
## 23 2009      1.25     948           0.2      1137.6     1.11
## 24 2010      0.96     517           0.2       620.4     0.90
## 25 2011      1.01     594           0.2       712.8     0.70
## 26 2012      0.92     450           0.2       540.0     0.81
## 27 2013      1.16     819           0.2       982.8     0.85
## 28 2014      1.12     748           0.2       897.6     1.19
## 29 2015      1.42    1203           0.2      1443.6     1.04
## 30 2016      1.12     761           0.2       913.2     1.15
## 31 2017      1.19     856           0.2      1027.2     1.08
## 32 2018      1.09     704           0.2       844.8     0.84

## [1] "htcod"
## 0.3 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.172891
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.13     712           0.3       925.6     1.30
## 2  1988      1.00     529           0.3       687.7     0.93
## 3  1989      1.27     901           0.3      1171.3     1.18
## 4  1990      1.56    1300           0.3      1690.0     1.21
## 5  1991      1.12     693           0.3       900.9     1.02
## 6  1992      1.45    1155           0.3      1501.5     1.47
## 7  1993      1.19     797           0.3      1036.1     1.15
## 8  1994      1.17     767           0.3       997.1     1.27
## 9  1995      1.27     896           0.3      1164.8     1.29
## 10 1996      1.37    1039           0.3      1350.7     1.21
## 11 1997      1.03     575           0.3       747.5     0.76
## 12 1998      0.99     520           0.3       676.0     0.85
## 13 1999      1.12     701           0.3       911.3     1.02
## 14 2000      1.06     607           0.3       789.1     1.04
## 15 2001      1.13     703           0.3       913.9     1.23
## 16 2002      1.13     713           0.3       926.9     0.90
## 17 2003      1.05     605           0.3       786.5     0.88
## 18 2004      1.14     726           0.3       943.8     1.23
## 19 2005      0.96     480           0.3       624.0     0.80
## 20 2006      1.03     571           0.3       742.3     0.75
## 21 2007      1.42    1112           0.3      1445.6     1.01
## 22 2008      1.26     889           0.3      1155.7     1.28
## 23 2009      1.30     948           0.3      1232.4     1.11
## 24 2010      0.99     517           0.3       672.1     0.90
## 25 2011      1.05     594           0.3       772.2     0.70
## 26 2012      0.94     450           0.3       585.0     0.81
## 27 2013      1.21     819           0.3      1064.7     0.85
## 28 2014      1.16     748           0.3       972.4     1.19
## 29 2015      1.49    1203           0.3      1563.9     1.04
## 30 2016      1.17     761           0.3       989.3     1.15
## 31 2017      1.24     856           0.3      1112.8     1.08
## 32 2018      1.13     704           0.3       915.2     0.84

## [1] "htcod"
## 0.4 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.215907
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.17     712           0.4       996.8     1.30
## 2  1988      1.03     529           0.4       740.6     0.93
## 3  1989      1.32     901           0.4      1261.4     1.18
## 4  1990      1.63    1300           0.4      1820.0     1.21
## 5  1991      1.16     693           0.4       970.2     1.02
## 6  1992      1.52    1155           0.4      1617.0     1.47
## 7  1993      1.24     797           0.4      1115.8     1.15
## 8  1994      1.21     767           0.4      1073.8     1.27
## 9  1995      1.32     896           0.4      1254.4     1.29
## 10 1996      1.43    1039           0.4      1454.6     1.21
## 11 1997      1.06     575           0.4       805.0     0.76
## 12 1998      1.02     520           0.4       728.0     0.85
## 13 1999      1.16     701           0.4       981.4     1.02
## 14 2000      1.09     607           0.4       849.8     1.04
## 15 2001      1.16     703           0.4       984.2     1.23
## 16 2002      1.17     713           0.4       998.2     0.90
## 17 2003      1.09     605           0.4       847.0     0.88
## 18 2004      1.18     726           0.4      1016.4     1.23
## 19 2005      0.99     480           0.4       672.0     0.80
## 20 2006      1.06     571           0.4       799.4     0.75
## 21 2007      1.49    1112           0.4      1556.8     1.01
## 22 2008      1.31     889           0.4      1244.6     1.28
## 23 2009      1.36     948           0.4      1327.2     1.11
## 24 2010      1.02     517           0.4       723.8     0.90
## 25 2011      1.08     594           0.4       831.6     0.70
## 26 2012      0.97     450           0.4       630.0     0.81
## 27 2013      1.26     819           0.4      1146.6     0.85
## 28 2014      1.20     748           0.4      1047.2     1.19
## 29 2015      1.56    1203           0.4      1684.2     1.04
## 30 2016      1.21     761           0.4      1065.4     1.15
## 31 2017      1.28     856           0.4      1198.4     1.08
## 32 2018      1.17     704           0.4       985.6     0.84

## [1] "htcod"
## 0.5 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.258922
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.21     712           0.5      1068.0     1.30
## 2  1988      1.06     529           0.5       793.5     0.93
## 3  1989      1.37     901           0.5      1351.5     1.18
## 4  1990      1.71    1300           0.5      1950.0     1.21
## 5  1991      1.20     693           0.5      1039.5     1.02
## 6  1992      1.58    1155           0.5      1732.5     1.47
## 7  1993      1.28     797           0.5      1195.5     1.15
## 8  1994      1.26     767           0.5      1150.5     1.27
## 9  1995      1.37     896           0.5      1344.0     1.29
## 10 1996      1.49    1039           0.5      1558.5     1.21
## 11 1997      1.10     575           0.5       862.5     0.76
## 12 1998      1.05     520           0.5       780.0     0.85
## 13 1999      1.20     701           0.5      1051.5     1.02
## 14 2000      1.12     607           0.5       910.5     1.04
## 15 2001      1.20     703           0.5      1054.5     1.23
## 16 2002      1.21     713           0.5      1069.5     0.90
## 17 2003      1.12     605           0.5       907.5     0.88
## 18 2004      1.22     726           0.5      1089.0     1.23
## 19 2005      1.02     480           0.5       720.0     0.80
## 20 2006      1.09     571           0.5       856.5     0.75
## 21 2007      1.55    1112           0.5      1668.0     1.01
## 22 2008      1.36     889           0.5      1333.5     1.28
## 23 2009      1.41     948           0.5      1422.0     1.11
## 24 2010      1.05     517           0.5       775.5     0.90
## 25 2011      1.11     594           0.5       891.0     0.70
## 26 2012      0.99     450           0.5       675.0     0.81
## 27 2013      1.30     819           0.5      1228.5     0.85
## 28 2014      1.24     748           0.5      1122.0     1.19
## 29 2015      1.62    1203           0.5      1804.5     1.04
## 30 2016      1.25     761           0.5      1141.5     1.15
## 31 2017      1.33     856           0.5      1284.0     1.08
## 32 2018      1.20     704           0.5      1056.0     0.84

## [1] "htcod"
## 0.1 subracted porportion to original grow pp.
## Mean of predicted RWIs =  1.00083
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.97     712           0.1       640.8     1.30
## 2  1988      0.88     529           0.1       476.1     0.93
## 3  1989      1.07     901           0.1       810.9     1.18
## 4  1990      1.27    1300           0.1      1170.0     1.21
## 5  1991      0.96     693           0.1       623.7     1.02
## 6  1992      1.20    1155           0.1      1039.5     1.47
## 7  1993      1.02     797           0.1       717.3     1.15
## 8  1994      1.00     767           0.1       690.3     1.27
## 9  1995      1.07     896           0.1       806.4     1.29
## 10 1996      1.14    1039           0.1       935.1     1.21
## 11 1997      0.90     575           0.1       517.5     0.76
## 12 1998      0.88     520           0.1       468.0     0.85
## 13 1999      0.97     701           0.1       630.9     1.02
## 14 2000      0.92     607           0.1       546.3     1.04
## 15 2001      0.97     703           0.1       632.7     1.23
## 16 2002      0.97     713           0.1       641.7     0.90
## 17 2003      0.92     605           0.1       544.5     0.88
## 18 2004      0.98     726           0.1       653.4     1.23
## 19 2005      0.86     480           0.1       432.0     0.80
## 20 2006      0.90     571           0.1       513.9     0.75
## 21 2007      1.17    1112           0.1      1000.8     1.01
## 22 2008      1.06     889           0.1       800.1     1.28
## 23 2009      1.09     948           0.1       853.2     1.11
## 24 2010      0.87     517           0.1       465.3     0.90
## 25 2011      0.91     594           0.1       534.6     0.70
## 26 2012      0.84     450           0.1       405.0     0.81
## 27 2013      1.03     819           0.1       737.1     0.85
## 28 2014      0.99     748           0.1       673.2     1.19
## 29 2015      1.22    1203           0.1      1082.7     1.04
## 30 2016      1.00     761           0.1       684.9     1.15
## 31 2017      1.04     856           0.1       770.4     1.08
## 32 2018      0.97     704           0.1       633.6     0.84
## [1] "htcod"
## 0.2 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.9578151
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.93     712           0.2       569.6     1.30
## 2  1988      0.85     529           0.2       423.2     0.93
## 3  1989      1.02     901           0.2       720.8     1.18
## 4  1990      1.20    1300           0.2      1040.0     1.21
## 5  1991      0.92     693           0.2       554.4     1.02
## 6  1992      1.13    1155           0.2       924.0     1.47
## 7  1993      0.97     797           0.2       637.6     1.15
## 8  1994      0.96     767           0.2       613.6     1.27
## 9  1995      1.01     896           0.2       716.8     1.29
## 10 1996      1.08    1039           0.2       831.2     1.21
## 11 1997      0.87     575           0.2       460.0     0.76
## 12 1998      0.85     520           0.2       416.0     0.85
## 13 1999      0.93     701           0.2       560.8     1.02
## 14 2000      0.89     607           0.2       485.6     1.04
## 15 2001      0.93     703           0.2       562.4     1.23
## 16 2002      0.93     713           0.2       570.4     0.90
## 17 2003      0.88     605           0.2       484.0     0.88
## 18 2004      0.94     726           0.2       580.8     1.23
## 19 2005      0.83     480           0.2       384.0     0.80
## 20 2006      0.87     571           0.2       456.8     0.75
## 21 2007      1.11    1112           0.2       889.6     1.01
## 22 2008      1.01     889           0.2       711.2     1.28
## 23 2009      1.04     948           0.2       758.4     1.11
## 24 2010      0.85     517           0.2       413.6     0.90
## 25 2011      0.88     594           0.2       475.2     0.70
## 26 2012      0.82     450           0.2       360.0     0.81
## 27 2013      0.98     819           0.2       655.2     0.85
## 28 2014      0.95     748           0.2       598.4     1.19
## 29 2015      1.15    1203           0.2       962.4     1.04
## 30 2016      0.95     761           0.2       608.8     1.15
## 31 2017      1.00     856           0.2       684.8     1.08
## 32 2018      0.93     704           0.2       563.2     0.84
## [1] "htcod"
## 0.3 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.9147999
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.89     712           0.3       498.4     1.30
## 2  1988      0.82     529           0.3       370.3     0.93
## 3  1989      0.97     901           0.3       630.7     1.18
## 4  1990      1.12    1300           0.3       910.0     1.21
## 5  1991      0.89     693           0.3       485.1     1.02
## 6  1992      1.07    1155           0.3       808.5     1.47
## 7  1993      0.93     797           0.3       557.9     1.15
## 8  1994      0.91     767           0.3       536.9     1.27
## 9  1995      0.96     896           0.3       627.2     1.29
## 10 1996      1.02    1039           0.3       727.3     1.21
## 11 1997      0.84     575           0.3       402.5     0.76
## 12 1998      0.82     520           0.3       364.0     0.85
## 13 1999      0.89     701           0.3       490.7     1.02
## 14 2000      0.85     607           0.3       424.9     1.04
## 15 2001      0.89     703           0.3       492.1     1.23
## 16 2002      0.89     713           0.3       499.1     0.90
## 17 2003      0.85     605           0.3       423.5     0.88
## 18 2004      0.90     726           0.3       508.2     1.23
## 19 2005      0.80     480           0.3       336.0     0.80
## 20 2006      0.84     571           0.3       399.7     0.75
## 21 2007      1.05    1112           0.3       778.4     1.01
## 22 2008      0.96     889           0.3       622.3     1.28
## 23 2009      0.99     948           0.3       663.6     1.11
## 24 2010      0.82     517           0.3       361.9     0.90
## 25 2011      0.85     594           0.3       415.8     0.70
## 26 2012      0.79     450           0.3       315.0     0.81
## 27 2013      0.93     819           0.3       573.3     0.85
## 28 2014      0.91     748           0.3       523.6     1.19
## 29 2015      1.09    1203           0.3       842.1     1.04
## 30 2016      0.91     761           0.3       532.7     1.15
## 31 2017      0.95     856           0.3       599.2     1.08
## 32 2018      0.89     704           0.3       492.8     0.84
## [1] "htcod"
## 0.4 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.8717846
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.85     712           0.4       427.2     1.30
## 2  1988      0.79     529           0.4       317.4     0.93
## 3  1989      0.92     901           0.4       540.6     1.18
## 4  1990      1.05    1300           0.4       780.0     1.21
## 5  1991      0.85     693           0.4       415.8     1.02
## 6  1992      1.00    1155           0.4       693.0     1.47
## 7  1993      0.88     797           0.4       478.2     1.15
## 8  1994      0.87     767           0.4       460.2     1.27
## 9  1995      0.91     896           0.4       537.6     1.29
## 10 1996      0.96    1039           0.4       623.4     1.21
## 11 1997      0.81     575           0.4       345.0     0.76
## 12 1998      0.79     520           0.4       312.0     0.85
## 13 1999      0.85     701           0.4       420.6     1.02
## 14 2000      0.82     607           0.4       364.2     1.04
## 15 2001      0.85     703           0.4       421.8     1.23
## 16 2002      0.85     713           0.4       427.8     0.90
## 17 2003      0.82     605           0.4       363.0     0.88
## 18 2004      0.86     726           0.4       435.6     1.23
## 19 2005      0.77     480           0.4       288.0     0.80
## 20 2006      0.81     571           0.4       342.6     0.75
## 21 2007      0.99    1112           0.4       667.2     1.01
## 22 2008      0.91     889           0.4       533.4     1.28
## 23 2009      0.93     948           0.4       568.8     1.11
## 24 2010      0.79     517           0.4       310.2     0.90
## 25 2011      0.81     594           0.4       356.4     0.70
## 26 2012      0.76     450           0.4       270.0     0.81
## 27 2013      0.89     819           0.4       491.4     0.85
## 28 2014      0.86     748           0.4       448.8     1.19
## 29 2015      1.02    1203           0.4       721.8     1.04
## 30 2016      0.87     761           0.4       456.6     1.15
## 31 2017      0.90     856           0.4       513.6     1.08
## 32 2018      0.85     704           0.4       422.4     0.84
## [1] "htcod"
## 0.5 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.8287694
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.81     712           0.5       356.0     1.30
## 2  1988      0.76     529           0.5       264.5     0.93
## 3  1989      0.87     901           0.5       450.5     1.18
## 4  1990      0.98    1300           0.5       650.0     1.21
## 5  1991      0.81     693           0.5       346.5     1.02
## 6  1992      0.94    1155           0.5       577.5     1.47
## 7  1993      0.84     797           0.5       398.5     1.15
## 8  1994      0.83     767           0.5       383.5     1.27
## 9  1995      0.86     896           0.5       448.0     1.29
## 10 1996      0.90    1039           0.5       519.5     1.21
## 11 1997      0.77     575           0.5       287.5     0.76
## 12 1998      0.76     520           0.5       260.0     0.85
## 13 1999      0.81     701           0.5       350.5     1.02
## 14 2000      0.78     607           0.5       303.5     1.04
## 15 2001      0.81     703           0.5       351.5     1.23
## 16 2002      0.81     713           0.5       356.5     0.90
## 17 2003      0.78     605           0.5       302.5     0.88
## 18 2004      0.82     726           0.5       363.0     1.23
## 19 2005      0.75     480           0.5       240.0     0.80
## 20 2006      0.77     571           0.5       285.5     0.75
## 21 2007      0.92    1112           0.5       556.0     1.01
## 22 2008      0.86     889           0.5       444.5     1.28
## 23 2009      0.88     948           0.5       474.0     1.11
## 24 2010      0.76     517           0.5       258.5     0.90
## 25 2011      0.78     594           0.5       297.0     0.70
## 26 2012      0.74     450           0.5       225.0     0.81
## 27 2013      0.84     819           0.5       409.5     0.85
## 28 2014      0.82     748           0.5       374.0     1.19
## 29 2015      0.95    1203           0.5       601.5     1.04
## 30 2016      0.83     761           0.5       380.5     1.15
## 31 2017      0.85     856           0.5       428.0     1.08
## 32 2018      0.81     704           0.5       352.0     0.84
## [1] "ht2"
## 0.1 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.190808
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.17     712           0.1       783.2     1.00
## 2  1988      1.10     529           0.1       581.9     1.22
## 3  1989      1.24     901           0.1       991.1     1.23
## 4  1990      1.40    1300           0.1      1430.0     1.58
## 5  1991      1.16     693           0.1       762.3     1.07
## 6  1992      1.34    1155           0.1      1270.5     1.54
## 7  1993      1.20     797           0.1       876.7     1.44
## 8  1994      1.19     767           0.1       843.7     1.50
## 9  1995      1.24     896           0.1       985.6     1.35
## 10 1996      1.30    1039           0.1      1142.9     1.01
## 11 1997      1.12     575           0.1       632.5     0.92
## 12 1998      1.09     520           0.1       572.0     0.99
## 13 1999      1.16     701           0.1       771.1     0.86
## 14 2000      1.13     607           0.1       667.7     1.27
## 15 2001      1.17     703           0.1       773.3     0.79
## 16 2002      1.17     713           0.1       784.3     1.14
## 17 2003      1.13     605           0.1       665.5     0.85
## 18 2004      1.17     726           0.1       798.6     1.26
## 19 2005      1.08     480           0.1       528.0     1.04
## 20 2006      1.11     571           0.1       628.1     1.22
## 21 2007      1.32    1112           0.1      1223.2     1.01
## 22 2008      1.24     889           0.1       977.9     1.35
## 23 2009      1.26     948           0.1      1042.8     0.95
## 24 2010      1.09     517           0.1       568.7     1.06
## 25 2011      1.12     594           0.1       653.4     0.67
## 26 2012      1.07     450           0.1       495.0     1.24
## 27 2013      1.21     819           0.1       900.9     1.18
## 28 2014      1.18     748           0.1       822.8     1.73
## 29 2015      1.36    1203           0.1      1323.3     1.07
## 30 2016      1.19     761           0.1       837.1     1.59
## 31 2017      1.22     856           0.1       941.6     1.01
## 32 2018      1.17     704           0.1       774.4     1.12

## [1] "ht2"
## 0.2 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.217801
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.19     712           0.2       854.4     1.00
## 2  1988      1.12     529           0.2       634.8     1.22
## 3  1989      1.27     901           0.2      1081.2     1.23
## 4  1990      1.44    1300           0.2      1560.0     1.58
## 5  1991      1.19     693           0.2       831.6     1.07
## 6  1992      1.38    1155           0.2      1386.0     1.54
## 7  1993      1.23     797           0.2       956.4     1.44
## 8  1994      1.22     767           0.2       920.4     1.50
## 9  1995      1.27     896           0.2      1075.2     1.35
## 10 1996      1.33    1039           0.2      1246.8     1.01
## 11 1997      1.14     575           0.2       690.0     0.92
## 12 1998      1.11     520           0.2       624.0     0.99
## 13 1999      1.19     701           0.2       841.2     0.86
## 14 2000      1.15     607           0.2       728.4     1.27
## 15 2001      1.19     703           0.2       843.6     0.79
## 16 2002      1.19     713           0.2       855.6     1.14
## 17 2003      1.15     605           0.2       726.0     0.85
## 18 2004      1.20     726           0.2       871.2     1.26
## 19 2005      1.10     480           0.2       576.0     1.04
## 20 2006      1.13     571           0.2       685.2     1.22
## 21 2007      1.36    1112           0.2      1334.4     1.01
## 22 2008      1.27     889           0.2      1066.8     1.35
## 23 2009      1.29     948           0.2      1137.6     0.95
## 24 2010      1.11     517           0.2       620.4     1.06
## 25 2011      1.14     594           0.2       712.8     0.67
## 26 2012      1.08     450           0.2       540.0     1.24
## 27 2013      1.24     819           0.2       982.8     1.18
## 28 2014      1.21     748           0.2       897.6     1.73
## 29 2015      1.40    1203           0.2      1443.6     1.07
## 30 2016      1.21     761           0.2       913.2     1.59
## 31 2017      1.25     856           0.2      1027.2     1.01
## 32 2018      1.19     704           0.2       844.8     1.12

## [1] "ht2"
## 0.3 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.244794
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.22     712           0.3       925.6     1.00
## 2  1988      1.14     529           0.3       687.7     1.22
## 3  1989      1.31     901           0.3      1171.3     1.23
## 4  1990      1.49    1300           0.3      1690.0     1.58
## 5  1991      1.21     693           0.3       900.9     1.07
## 6  1992      1.42    1155           0.3      1501.5     1.54
## 7  1993      1.26     797           0.3      1036.1     1.44
## 8  1994      1.24     767           0.3       997.1     1.50
## 9  1995      1.30     896           0.3      1164.8     1.35
## 10 1996      1.37    1039           0.3      1350.7     1.01
## 11 1997      1.16     575           0.3       747.5     0.92
## 12 1998      1.13     520           0.3       676.0     0.99
## 13 1999      1.21     701           0.3       911.3     0.86
## 14 2000      1.17     607           0.3       789.1     1.27
## 15 2001      1.21     703           0.3       913.9     0.79
## 16 2002      1.22     713           0.3       926.9     1.14
## 17 2003      1.17     605           0.3       786.5     0.85
## 18 2004      1.23     726           0.3       943.8     1.26
## 19 2005      1.11     480           0.3       624.0     1.04
## 20 2006      1.15     571           0.3       742.3     1.22
## 21 2007      1.40    1112           0.3      1445.6     1.01
## 22 2008      1.30     889           0.3      1155.7     1.35
## 23 2009      1.33     948           0.3      1232.4     0.95
## 24 2010      1.13     517           0.3       672.1     1.06
## 25 2011      1.17     594           0.3       772.2     0.67
## 26 2012      1.10     450           0.3       585.0     1.24
## 27 2013      1.27     819           0.3      1064.7     1.18
## 28 2014      1.24     748           0.3       972.4     1.73
## 29 2015      1.44    1203           0.3      1563.9     1.07
## 30 2016      1.24     761           0.3       989.3     1.59
## 31 2017      1.28     856           0.3      1112.8     1.01
## 32 2018      1.22     704           0.3       915.2     1.12

## [1] "ht2"
## 0.4 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.271786
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.24     712           0.4       996.8     1.00
## 2  1988      1.15     529           0.4       740.6     1.22
## 3  1989      1.34     901           0.4      1261.4     1.23
## 4  1990      1.53    1300           0.4      1820.0     1.58
## 5  1991      1.23     693           0.4       970.2     1.07
## 6  1992      1.46    1155           0.4      1617.0     1.54
## 7  1993      1.29     797           0.4      1115.8     1.44
## 8  1994      1.27     767           0.4      1073.8     1.50
## 9  1995      1.33     896           0.4      1254.4     1.35
## 10 1996      1.40    1039           0.4      1454.6     1.01
## 11 1997      1.18     575           0.4       805.0     0.92
## 12 1998      1.15     520           0.4       728.0     0.99
## 13 1999      1.24     701           0.4       981.4     0.86
## 14 2000      1.19     607           0.4       849.8     1.27
## 15 2001      1.24     703           0.4       984.2     0.79
## 16 2002      1.24     713           0.4       998.2     1.14
## 17 2003      1.19     605           0.4       847.0     0.85
## 18 2004      1.25     726           0.4      1016.4     1.26
## 19 2005      1.13     480           0.4       672.0     1.04
## 20 2006      1.17     571           0.4       799.4     1.22
## 21 2007      1.44    1112           0.4      1556.8     1.01
## 22 2008      1.33     889           0.4      1244.6     1.35
## 23 2009      1.36     948           0.4      1327.2     0.95
## 24 2010      1.15     517           0.4       723.8     1.06
## 25 2011      1.19     594           0.4       831.6     0.67
## 26 2012      1.12     450           0.4       630.0     1.24
## 27 2013      1.30     819           0.4      1146.6     1.18
## 28 2014      1.26     748           0.4      1047.2     1.73
## 29 2015      1.49    1203           0.4      1684.2     1.07
## 30 2016      1.27     761           0.4      1065.4     1.59
## 31 2017      1.31     856           0.4      1198.4     1.01
## 32 2018      1.24     704           0.4       985.6     1.12

## [1] "ht2"
## 0.5 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.298779
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.27     712           0.5      1068.0     1.00
## 2  1988      1.17     529           0.5       793.5     1.22
## 3  1989      1.37     901           0.5      1351.5     1.23
## 4  1990      1.58    1300           0.5      1950.0     1.58
## 5  1991      1.26     693           0.5      1039.5     1.07
## 6  1992      1.50    1155           0.5      1732.5     1.54
## 7  1993      1.31     797           0.5      1195.5     1.44
## 8  1994      1.30     767           0.5      1150.5     1.50
## 9  1995      1.37     896           0.5      1344.0     1.35
## 10 1996      1.44    1039           0.5      1558.5     1.01
## 11 1997      1.20     575           0.5       862.5     0.92
## 12 1998      1.17     520           0.5       780.0     0.99
## 13 1999      1.26     701           0.5      1051.5     0.86
## 14 2000      1.21     607           0.5       910.5     1.27
## 15 2001      1.26     703           0.5      1054.5     0.79
## 16 2002      1.27     713           0.5      1069.5     1.14
## 17 2003      1.21     605           0.5       907.5     0.85
## 18 2004      1.28     726           0.5      1089.0     1.26
## 19 2005      1.15     480           0.5       720.0     1.04
## 20 2006      1.19     571           0.5       856.5     1.22
## 21 2007      1.48    1112           0.5      1668.0     1.01
## 22 2008      1.36     889           0.5      1333.5     1.35
## 23 2009      1.39     948           0.5      1422.0     0.95
## 24 2010      1.17     517           0.5       775.5     1.06
## 25 2011      1.21     594           0.5       891.0     0.67
## 26 2012      1.13     450           0.5       675.0     1.24
## 27 2013      1.33     819           0.5      1228.5     1.18
## 28 2014      1.29     748           0.5      1122.0     1.73
## 29 2015      1.53    1203           0.5      1804.5     1.07
## 30 2016      1.29     761           0.5      1141.5     1.59
## 31 2017      1.34     856           0.5      1284.0     1.01
## 32 2018      1.26     704           0.5      1056.0     1.12

## [1] "ht2"
## 0.1 subracted porportion to original grow pp.
## Mean of predicted RWIs =  1.136823
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.12     712           0.1       640.8     1.00
## 2  1988      1.06     529           0.1       476.1     1.22
## 3  1989      1.18     901           0.1       810.9     1.23
## 4  1990      1.30    1300           0.1      1170.0     1.58
## 5  1991      1.11     693           0.1       623.7     1.07
## 6  1992      1.26    1155           0.1      1039.5     1.54
## 7  1993      1.15     797           0.1       717.3     1.44
## 8  1994      1.14     767           0.1       690.3     1.50
## 9  1995      1.18     896           0.1       806.4     1.35
## 10 1996      1.22    1039           0.1       935.1     1.01
## 11 1997      1.08     575           0.1       517.5     0.92
## 12 1998      1.06     520           0.1       468.0     0.99
## 13 1999      1.12     701           0.1       630.9     0.86
## 14 2000      1.09     607           0.1       546.3     1.27
## 15 2001      1.12     703           0.1       632.7     0.79
## 16 2002      1.12     713           0.1       641.7     1.14
## 17 2003      1.09     605           0.1       544.5     0.85
## 18 2004      1.12     726           0.1       653.4     1.26
## 19 2005      1.05     480           0.1       432.0     1.04
## 20 2006      1.07     571           0.1       513.9     1.22
## 21 2007      1.25    1112           0.1      1000.8     1.01
## 22 2008      1.17     889           0.1       800.1     1.35
## 23 2009      1.19     948           0.1       853.2     0.95
## 24 2010      1.06     517           0.1       465.3     1.06
## 25 2011      1.08     594           0.1       534.6     0.67
## 26 2012      1.04     450           0.1       405.0     1.24
## 27 2013      1.15     819           0.1       737.1     1.18
## 28 2014      1.13     748           0.1       673.2     1.73
## 29 2015      1.27    1203           0.1      1082.7     1.07
## 30 2016      1.13     761           0.1       684.9     1.59
## 31 2017      1.16     856           0.1       770.4     1.01
## 32 2018      1.12     704           0.1       633.6     1.12
## [1] "ht2"
## 0.2 subracted porportion to original grow pp.
## Mean of predicted RWIs =  1.10983
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.09     712           0.2       569.6     1.00
## 2  1988      1.04     529           0.2       423.2     1.22
## 3  1989      1.15     901           0.2       720.8     1.23
## 4  1990      1.26    1300           0.2      1040.0     1.58
## 5  1991      1.09     693           0.2       554.4     1.07
## 6  1992      1.22    1155           0.2       924.0     1.54
## 7  1993      1.12     797           0.2       637.6     1.44
## 8  1994      1.11     767           0.2       613.6     1.50
## 9  1995      1.15     896           0.2       716.8     1.35
## 10 1996      1.19    1039           0.2       831.2     1.01
## 11 1997      1.06     575           0.2       460.0     0.92
## 12 1998      1.04     520           0.2       416.0     0.99
## 13 1999      1.09     701           0.2       560.8     0.86
## 14 2000      1.06     607           0.2       485.6     1.27
## 15 2001      1.09     703           0.2       562.4     0.79
## 16 2002      1.09     713           0.2       570.4     1.14
## 17 2003      1.06     605           0.2       484.0     0.85
## 18 2004      1.10     726           0.2       580.8     1.26
## 19 2005      1.03     480           0.2       384.0     1.04
## 20 2006      1.05     571           0.2       456.8     1.22
## 21 2007      1.21    1112           0.2       889.6     1.01
## 22 2008      1.14     889           0.2       711.2     1.35
## 23 2009      1.16     948           0.2       758.4     0.95
## 24 2010      1.04     517           0.2       413.6     1.06
## 25 2011      1.06     594           0.2       475.2     0.67
## 26 2012      1.02     450           0.2       360.0     1.24
## 27 2013      1.12     819           0.2       655.2     1.18
## 28 2014      1.10     748           0.2       598.4     1.73
## 29 2015      1.23    1203           0.2       962.4     1.07
## 30 2016      1.11     761           0.2       608.8     1.59
## 31 2017      1.13     856           0.2       684.8     1.01
## 32 2018      1.09     704           0.2       563.2     1.12
## [1] "ht2"
## 0.3 subracted porportion to original grow pp.
## Mean of predicted RWIs =  1.082837
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.07     712           0.3       498.4     1.00
## 2  1988      1.02     529           0.3       370.3     1.22
## 3  1989      1.12     901           0.3       630.7     1.23
## 4  1990      1.21    1300           0.3       910.0     1.58
## 5  1991      1.06     693           0.3       485.1     1.07
## 6  1992      1.18    1155           0.3       808.5     1.54
## 7  1993      1.09     797           0.3       557.9     1.44
## 8  1994      1.08     767           0.3       536.9     1.50
## 9  1995      1.11     896           0.3       627.2     1.35
## 10 1996      1.15    1039           0.3       727.3     1.01
## 11 1997      1.04     575           0.3       402.5     0.92
## 12 1998      1.02     520           0.3       364.0     0.99
## 13 1999      1.07     701           0.3       490.7     0.86
## 14 2000      1.04     607           0.3       424.9     1.27
## 15 2001      1.07     703           0.3       492.1     0.79
## 16 2002      1.07     713           0.3       499.1     1.14
## 17 2003      1.04     605           0.3       423.5     0.85
## 18 2004      1.07     726           0.3       508.2     1.26
## 19 2005      1.01     480           0.3       336.0     1.04
## 20 2006      1.03     571           0.3       399.7     1.22
## 21 2007      1.17    1112           0.3       778.4     1.01
## 22 2008      1.11     889           0.3       622.3     1.35
## 23 2009      1.13     948           0.3       663.6     0.95
## 24 2010      1.02     517           0.3       361.9     1.06
## 25 2011      1.04     594           0.3       415.8     0.67
## 26 2012      1.00     450           0.3       315.0     1.24
## 27 2013      1.10     819           0.3       573.3     1.18
## 28 2014      1.08     748           0.3       523.6     1.73
## 29 2015      1.19    1203           0.3       842.1     1.07
## 30 2016      1.08     761           0.3       532.7     1.59
## 31 2017      1.10     856           0.3       599.2     1.01
## 32 2018      1.07     704           0.3       492.8     1.12
## [1] "ht2"
## 0.4 subracted porportion to original grow pp.
## Mean of predicted RWIs =  1.055845
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.04     712           0.4       427.2     1.00
## 2  1988      1.01     529           0.4       317.4     1.22
## 3  1989      1.08     901           0.4       540.6     1.23
## 4  1990      1.17    1300           0.4       780.0     1.58
## 5  1991      1.04     693           0.4       415.8     1.07
## 6  1992      1.14    1155           0.4       693.0     1.54
## 7  1993      1.06     797           0.4       478.2     1.44
## 8  1994      1.06     767           0.4       460.2     1.50
## 9  1995      1.08     896           0.4       537.6     1.35
## 10 1996      1.11    1039           0.4       623.4     1.01
## 11 1997      1.02     575           0.4       345.0     0.92
## 12 1998      1.00     520           0.4       312.0     0.99
## 13 1999      1.04     701           0.4       420.6     0.86
## 14 2000      1.02     607           0.4       364.2     1.27
## 15 2001      1.04     703           0.4       421.8     0.79
## 16 2002      1.04     713           0.4       427.8     1.14
## 17 2003      1.02     605           0.4       363.0     0.85
## 18 2004      1.05     726           0.4       435.6     1.26
## 19 2005      1.00     480           0.4       288.0     1.04
## 20 2006      1.01     571           0.4       342.6     1.22
## 21 2007      1.13    1112           0.4       667.2     1.01
## 22 2008      1.08     889           0.4       533.4     1.35
## 23 2009      1.09     948           0.4       568.8     0.95
## 24 2010      1.00     517           0.4       310.2     1.06
## 25 2011      1.02     594           0.4       356.4     0.67
## 26 2012      0.99     450           0.4       270.0     1.24
## 27 2013      1.07     819           0.4       491.4     1.18
## 28 2014      1.05     748           0.4       448.8     1.73
## 29 2015      1.15    1203           0.4       721.8     1.07
## 30 2016      1.05     761           0.4       456.6     1.59
## 31 2017      1.07     856           0.4       513.6     1.01
## 32 2018      1.04     704           0.4       422.4     1.12
## [1] "ht2"
## 0.5 subracted porportion to original grow pp.
## Mean of predicted RWIs =  1.028852
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.02     712           0.5       356.0     1.00
## 2  1988      0.99     529           0.5       264.5     1.22
## 3  1989      1.05     901           0.5       450.5     1.23
## 4  1990      1.12    1300           0.5       650.0     1.58
## 5  1991      1.02     693           0.5       346.5     1.07
## 6  1992      1.10    1155           0.5       577.5     1.54
## 7  1993      1.03     797           0.5       398.5     1.44
## 8  1994      1.03     767           0.5       383.5     1.50
## 9  1995      1.05     896           0.5       448.0     1.35
## 10 1996      1.08    1039           0.5       519.5     1.01
## 11 1997      0.99     575           0.5       287.5     0.92
## 12 1998      0.99     520           0.5       260.0     0.99
## 13 1999      1.02     701           0.5       350.5     0.86
## 14 2000      1.00     607           0.5       303.5     1.27
## 15 2001      1.02     703           0.5       351.5     0.79
## 16 2002      1.02     713           0.5       356.5     1.14
## 17 2003      1.00     605           0.5       302.5     0.85
## 18 2004      1.02     726           0.5       363.0     1.26
## 19 2005      0.98     480           0.5       240.0     1.04
## 20 2006      0.99     571           0.5       285.5     1.22
## 21 2007      1.09    1112           0.5       556.0     1.01
## 22 2008      1.05     889           0.5       444.5     1.35
## 23 2009      1.06     948           0.5       474.0     0.95
## 24 2010      0.98     517           0.5       258.5     1.06
## 25 2011      1.00     594           0.5       297.0     0.67
## 26 2012      0.97     450           0.5       225.0     1.24
## 27 2013      1.04     819           0.5       409.5     1.18
## 28 2014      1.03     748           0.5       374.0     1.73
## 29 2015      1.11    1203           0.5       601.5     1.07
## 30 2016      1.03     761           0.5       380.5     1.59
## 31 2017      1.04     856           0.5       428.0     1.01
## 32 2018      1.02     704           0.5       352.0     1.12
## [1] "ht3"
## 0.1 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.077581
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.04     712           0.1       783.2     1.28
## 2  1988      0.93     529           0.1       581.9     0.76
## 3  1989      1.16     901           0.1       991.1     1.15
## 4  1990      1.40    1300           0.1      1430.0     1.23
## 5  1991      1.03     693           0.1       762.3     0.98
## 6  1992      1.31    1155           0.1      1270.5     1.21
## 7  1993      1.09     797           0.1       876.7     1.03
## 8  1994      1.08     767           0.1       843.7     0.75
## 9  1995      1.15     896           0.1       985.6     1.62
## 10 1996      1.24    1039           0.1      1142.9     1.21
## 11 1997      0.96     575           0.1       632.5     0.65
## 12 1998      0.93     520           0.1       572.0     0.63
## 13 1999      1.04     701           0.1       771.1     0.99
## 14 2000      0.98     607           0.1       667.7     0.86
## 15 2001      1.04     703           0.1       773.3     1.18
## 16 2002      1.04     713           0.1       784.3     0.96
## 17 2003      0.98     605           0.1       665.5     0.56
## 18 2004      1.05     726           0.1       798.6     1.20
## 19 2005      0.90     480           0.1       528.0     0.97
## 20 2006      0.96     571           0.1       628.1     1.02
## 21 2007      1.29    1112           0.1      1223.2     1.24
## 22 2008      1.15     889           0.1       977.9     1.20
## 23 2009      1.19     948           0.1      1042.8     0.59
## 24 2010      0.93     517           0.1       568.7     1.03
## 25 2011      0.97     594           0.1       653.4     0.79
## 26 2012      0.89     450           0.1       495.0     0.77
## 27 2013      1.11     819           0.1       900.9     1.15
## 28 2014      1.07     748           0.1       822.8     1.24
## 29 2015      1.34    1203           0.1      1323.3     0.86
## 30 2016      1.07     761           0.1       837.1     1.41
## 31 2017      1.13     856           0.1       941.6     1.77
## 32 2018      1.04     704           0.1       774.4     0.84

## [1] "ht3"
## 0.2 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.119809
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.08     712           0.2       854.4     1.28
## 2  1988      0.96     529           0.2       634.8     0.76
## 3  1989      1.21     901           0.2      1081.2     1.15
## 4  1990      1.47    1300           0.2      1560.0     1.23
## 5  1991      1.07     693           0.2       831.6     0.98
## 6  1992      1.37    1155           0.2      1386.0     1.21
## 7  1993      1.14     797           0.2       956.4     1.03
## 8  1994      1.12     767           0.2       920.4     0.75
## 9  1995      1.20     896           0.2      1075.2     1.62
## 10 1996      1.30    1039           0.2      1246.8     1.21
## 11 1997      0.99     575           0.2       690.0     0.65
## 12 1998      0.96     520           0.2       624.0     0.63
## 13 1999      1.08     701           0.2       841.2     0.99
## 14 2000      1.01     607           0.2       728.4     0.86
## 15 2001      1.08     703           0.2       843.6     1.18
## 16 2002      1.08     713           0.2       855.6     0.96
## 17 2003      1.01     605           0.2       726.0     0.56
## 18 2004      1.09     726           0.2       871.2     1.20
## 19 2005      0.93     480           0.2       576.0     0.97
## 20 2006      0.99     571           0.2       685.2     1.02
## 21 2007      1.35    1112           0.2      1334.4     1.24
## 22 2008      1.20     889           0.2      1066.8     1.20
## 23 2009      1.24     948           0.2      1137.6     0.59
## 24 2010      0.95     517           0.2       620.4     1.03
## 25 2011      1.00     594           0.2       712.8     0.79
## 26 2012      0.91     450           0.2       540.0     0.77
## 27 2013      1.15     819           0.2       982.8     1.15
## 28 2014      1.11     748           0.2       897.6     1.24
## 29 2015      1.41    1203           0.2      1443.6     0.86
## 30 2016      1.11     761           0.2       913.2     1.41
## 31 2017      1.18     856           0.2      1027.2     1.77
## 32 2018      1.08     704           0.2       844.8     0.84

## [1] "ht3"
## 0.3 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.162038
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.12     712           0.3       925.6     1.28
## 2  1988      0.99     529           0.3       687.7     0.76
## 3  1989      1.26     901           0.3      1171.3     1.15
## 4  1990      1.54    1300           0.3      1690.0     1.23
## 5  1991      1.11     693           0.3       900.9     0.98
## 6  1992      1.44    1155           0.3      1501.5     1.21
## 7  1993      1.18     797           0.3      1036.1     1.03
## 8  1994      1.16     767           0.3       997.1     0.75
## 9  1995      1.25     896           0.3      1164.8     1.62
## 10 1996      1.36    1039           0.3      1350.7     1.21
## 11 1997      1.02     575           0.3       747.5     0.65
## 12 1998      0.98     520           0.3       676.0     0.63
## 13 1999      1.11     701           0.3       911.3     0.99
## 14 2000      1.05     607           0.3       789.1     0.86
## 15 2001      1.12     703           0.3       913.9     1.18
## 16 2002      1.12     713           0.3       926.9     0.96
## 17 2003      1.05     605           0.3       786.5     0.56
## 18 2004      1.13     726           0.3       943.8     1.20
## 19 2005      0.96     480           0.3       624.0     0.97
## 20 2006      1.02     571           0.3       742.3     1.02
## 21 2007      1.41    1112           0.3      1445.6     1.24
## 22 2008      1.25     889           0.3      1155.7     1.20
## 23 2009      1.29     948           0.3      1232.4     0.59
## 24 2010      0.98     517           0.3       672.1     1.03
## 25 2011      1.04     594           0.3       772.2     0.79
## 26 2012      0.93     450           0.3       585.0     0.77
## 27 2013      1.20     819           0.3      1064.7     1.15
## 28 2014      1.15     748           0.3       972.4     1.24
## 29 2015      1.47    1203           0.3      1563.9     0.86
## 30 2016      1.16     761           0.3       989.3     1.41
## 31 2017      1.22     856           0.3      1112.8     1.77
## 32 2018      1.12     704           0.3       915.2     0.84

## [1] "ht3"
## 0.4 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.204267
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.16     712           0.4       996.8     1.28
## 2  1988      1.02     529           0.4       740.6     0.76
## 3  1989      1.31     901           0.4      1261.4     1.15
## 4  1990      1.61    1300           0.4      1820.0     1.23
## 5  1991      1.15     693           0.4       970.2     0.98
## 6  1992      1.50    1155           0.4      1617.0     1.21
## 7  1993      1.23     797           0.4      1115.8     1.03
## 8  1994      1.20     767           0.4      1073.8     0.75
## 9  1995      1.30     896           0.4      1254.4     1.62
## 10 1996      1.41    1039           0.4      1454.6     1.21
## 11 1997      1.06     575           0.4       805.0     0.65
## 12 1998      1.01     520           0.4       728.0     0.63
## 13 1999      1.15     701           0.4       981.4     0.99
## 14 2000      1.08     607           0.4       849.8     0.86
## 15 2001      1.15     703           0.4       984.2     1.18
## 16 2002      1.16     713           0.4       998.2     0.96
## 17 2003      1.08     605           0.4       847.0     0.56
## 18 2004      1.17     726           0.4      1016.4     1.20
## 19 2005      0.98     480           0.4       672.0     0.97
## 20 2006      1.05     571           0.4       799.4     1.02
## 21 2007      1.47    1112           0.4      1556.8     1.24
## 22 2008      1.30     889           0.4      1244.6     1.20
## 23 2009      1.34     948           0.4      1327.2     0.59
## 24 2010      1.01     517           0.4       723.8     1.03
## 25 2011      1.07     594           0.4       831.6     0.79
## 26 2012      0.96     450           0.4       630.0     0.77
## 27 2013      1.24     819           0.4      1146.6     1.15
## 28 2014      1.19     748           0.4      1047.2     1.24
## 29 2015      1.54    1203           0.4      1684.2     0.86
## 30 2016      1.20     761           0.4      1065.4     1.41
## 31 2017      1.27     856           0.4      1198.4     1.77
## 32 2018      1.15     704           0.4       985.6     0.84

## [1] "ht3"
## 0.5 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.246495
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.20     712           0.5      1068.0     1.28
## 2  1988      1.05     529           0.5       793.5     0.76
## 3  1989      1.36     901           0.5      1351.5     1.15
## 4  1990      1.68    1300           0.5      1950.0     1.23
## 5  1991      1.18     693           0.5      1039.5     0.98
## 6  1992      1.57    1155           0.5      1732.5     1.21
## 7  1993      1.27     797           0.5      1195.5     1.03
## 8  1994      1.25     767           0.5      1150.5     0.75
## 9  1995      1.35     896           0.5      1344.0     1.62
## 10 1996      1.47    1039           0.5      1558.5     1.21
## 11 1997      1.09     575           0.5       862.5     0.65
## 12 1998      1.04     520           0.5       780.0     0.63
## 13 1999      1.19     701           0.5      1051.5     0.99
## 14 2000      1.11     607           0.5       910.5     0.86
## 15 2001      1.19     703           0.5      1054.5     1.18
## 16 2002      1.20     713           0.5      1069.5     0.96
## 17 2003      1.11     605           0.5       907.5     0.56
## 18 2004      1.21     726           0.5      1089.0     1.20
## 19 2005      1.01     480           0.5       720.0     0.97
## 20 2006      1.08     571           0.5       856.5     1.02
## 21 2007      1.53    1112           0.5      1668.0     1.24
## 22 2008      1.35     889           0.5      1333.5     1.20
## 23 2009      1.39     948           0.5      1422.0     0.59
## 24 2010      1.04     517           0.5       775.5     1.03
## 25 2011      1.10     594           0.5       891.0     0.79
## 26 2012      0.98     450           0.5       675.0     0.77
## 27 2013      1.29     819           0.5      1228.5     1.15
## 28 2014      1.23     748           0.5      1122.0     1.24
## 29 2015      1.60    1203           0.5      1804.5     0.86
## 30 2016      1.24     761           0.5      1141.5     1.41
## 31 2017      1.32     856           0.5      1284.0     1.77
## 32 2018      1.19     704           0.5      1056.0     0.84

## [1] "ht3"
## 0.1 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.9931232
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.97     712           0.1       640.8     1.28
## 2  1988      0.87     529           0.1       476.1     0.76
## 3  1989      1.06     901           0.1       810.9     1.15
## 4  1990      1.26    1300           0.1      1170.0     1.23
## 5  1991      0.96     693           0.1       623.7     0.98
## 6  1992      1.18    1155           0.1      1039.5     1.21
## 7  1993      1.01     797           0.1       717.3     1.03
## 8  1994      0.99     767           0.1       690.3     0.75
## 9  1995      1.06     896           0.1       806.4     1.62
## 10 1996      1.13    1039           0.1       935.1     1.21
## 11 1997      0.90     575           0.1       517.5     0.65
## 12 1998      0.87     520           0.1       468.0     0.63
## 13 1999      0.96     701           0.1       630.9     0.99
## 14 2000      0.91     607           0.1       546.3     0.86
## 15 2001      0.96     703           0.1       632.7     1.18
## 16 2002      0.97     713           0.1       641.7     0.96
## 17 2003      0.91     605           0.1       544.5     0.56
## 18 2004      0.97     726           0.1       653.4     1.20
## 19 2005      0.85     480           0.1       432.0     0.97
## 20 2006      0.90     571           0.1       513.9     1.02
## 21 2007      1.16    1112           0.1      1000.8     1.24
## 22 2008      1.05     889           0.1       800.1     1.20
## 23 2009      1.08     948           0.1       853.2     0.59
## 24 2010      0.87     517           0.1       465.3     1.03
## 25 2011      0.91     594           0.1       534.6     0.79
## 26 2012      0.84     450           0.1       405.0     0.77
## 27 2013      1.02     819           0.1       737.1     1.15
## 28 2014      0.98     748           0.1       673.2     1.24
## 29 2015      1.21    1203           0.1      1082.7     0.86
## 30 2016      0.99     761           0.1       684.9     1.41
## 31 2017      1.04     856           0.1       770.4     1.77
## 32 2018      0.96     704           0.1       633.6     0.84
## [1] "ht3"
## 0.2 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.9508945
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.93     712           0.2       569.6     1.28
## 2  1988      0.85     529           0.2       423.2     0.76
## 3  1989      1.01     901           0.2       720.8     1.15
## 4  1990      1.18    1300           0.2      1040.0     1.23
## 5  1991      0.92     693           0.2       554.4     0.98
## 6  1992      1.12    1155           0.2       924.0     1.21
## 7  1993      0.96     797           0.2       637.6     1.03
## 8  1994      0.95     767           0.2       613.6     0.75
## 9  1995      1.01     896           0.2       716.8     1.62
## 10 1996      1.07    1039           0.2       831.2     1.21
## 11 1997      0.87     575           0.2       460.0     0.65
## 12 1998      0.84     520           0.2       416.0     0.63
## 13 1999      0.92     701           0.2       560.8     0.99
## 14 2000      0.88     607           0.2       485.6     0.86
## 15 2001      0.92     703           0.2       562.4     1.18
## 16 2002      0.93     713           0.2       570.4     0.96
## 17 2003      0.88     605           0.2       484.0     0.56
## 18 2004      0.93     726           0.2       580.8     1.20
## 19 2005      0.82     480           0.2       384.0     0.97
## 20 2006      0.86     571           0.2       456.8     1.02
## 21 2007      1.10    1112           0.2       889.6     1.24
## 22 2008      1.00     889           0.2       711.2     1.20
## 23 2009      1.03     948           0.2       758.4     0.59
## 24 2010      0.84     517           0.2       413.6     1.03
## 25 2011      0.87     594           0.2       475.2     0.79
## 26 2012      0.81     450           0.2       360.0     0.77
## 27 2013      0.97     819           0.2       655.2     1.15
## 28 2014      0.94     748           0.2       598.4     1.24
## 29 2015      1.14    1203           0.2       962.4     0.86
## 30 2016      0.95     761           0.2       608.8     1.41
## 31 2017      0.99     856           0.2       684.8     1.77
## 32 2018      0.92     704           0.2       563.2     0.84
## [1] "ht3"
## 0.3 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.9086658
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.89     712           0.3       498.4     1.28
## 2  1988      0.82     529           0.3       370.3     0.76
## 3  1989      0.96     901           0.3       630.7     1.15
## 4  1990      1.11    1300           0.3       910.0     1.23
## 5  1991      0.88     693           0.3       485.1     0.98
## 6  1992      1.06    1155           0.3       808.5     1.21
## 7  1993      0.92     797           0.3       557.9     1.03
## 8  1994      0.91     767           0.3       536.9     0.75
## 9  1995      0.96     896           0.3       627.2     1.62
## 10 1996      1.01    1039           0.3       727.3     1.21
## 11 1997      0.83     575           0.3       402.5     0.65
## 12 1998      0.81     520           0.3       364.0     0.63
## 13 1999      0.88     701           0.3       490.7     0.99
## 14 2000      0.85     607           0.3       424.9     0.86
## 15 2001      0.88     703           0.3       492.1     1.18
## 16 2002      0.89     713           0.3       499.1     0.96
## 17 2003      0.85     605           0.3       423.5     0.56
## 18 2004      0.89     726           0.3       508.2     1.20
## 19 2005      0.80     480           0.3       336.0     0.97
## 20 2006      0.83     571           0.3       399.7     1.02
## 21 2007      1.04    1112           0.3       778.4     1.24
## 22 2008      0.96     889           0.3       622.3     1.20
## 23 2009      0.98     948           0.3       663.6     0.59
## 24 2010      0.81     517           0.3       361.9     1.03
## 25 2011      0.84     594           0.3       415.8     0.79
## 26 2012      0.79     450           0.3       315.0     0.77
## 27 2013      0.93     819           0.3       573.3     1.15
## 28 2014      0.90     748           0.3       523.6     1.24
## 29 2015      1.08    1203           0.3       842.1     0.86
## 30 2016      0.91     761           0.3       532.7     1.41
## 31 2017      0.94     856           0.3       599.2     1.77
## 32 2018      0.88     704           0.3       492.8     0.84
## [1] "ht3"
## 0.4 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.8664372
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.85     712           0.4       427.2     1.28
## 2  1988      0.79     529           0.4       317.4     0.76
## 3  1989      0.91     901           0.4       540.6     1.15
## 4  1990      1.04    1300           0.4       780.0     1.23
## 5  1991      0.84     693           0.4       415.8     0.98
## 6  1992      0.99    1155           0.4       693.0     1.21
## 7  1993      0.88     797           0.4       478.2     1.03
## 8  1994      0.87     767           0.4       460.2     0.75
## 9  1995      0.91     896           0.4       537.6     1.62
## 10 1996      0.96    1039           0.4       623.4     1.21
## 11 1997      0.80     575           0.4       345.0     0.65
## 12 1998      0.78     520           0.4       312.0     0.63
## 13 1999      0.84     701           0.4       420.6     0.99
## 14 2000      0.81     607           0.4       364.2     0.86
## 15 2001      0.84     703           0.4       421.8     1.18
## 16 2002      0.85     713           0.4       427.8     0.96
## 17 2003      0.81     605           0.4       363.0     0.56
## 18 2004      0.85     726           0.4       435.6     1.20
## 19 2005      0.77     480           0.4       288.0     0.97
## 20 2006      0.80     571           0.4       342.6     1.02
## 21 2007      0.98    1112           0.4       667.2     1.24
## 22 2008      0.91     889           0.4       533.4     1.20
## 23 2009      0.93     948           0.4       568.8     0.59
## 24 2010      0.78     517           0.4       310.2     1.03
## 25 2011      0.81     594           0.4       356.4     0.79
## 26 2012      0.76     450           0.4       270.0     0.77
## 27 2013      0.88     819           0.4       491.4     1.15
## 28 2014      0.86     748           0.4       448.8     1.24
## 29 2015      1.01    1203           0.4       721.8     0.86
## 30 2016      0.86     761           0.4       456.6     1.41
## 31 2017      0.90     856           0.4       513.6     1.77
## 32 2018      0.85     704           0.4       422.4     0.84
## [1] "ht3"
## 0.5 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.8242085
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.81     712           0.5       356.0     1.28
## 2  1988      0.76     529           0.5       264.5     0.76
## 3  1989      0.86     901           0.5       450.5     1.15
## 4  1990      0.97    1300           0.5       650.0     1.23
## 5  1991      0.80     693           0.5       346.5     0.98
## 6  1992      0.93    1155           0.5       577.5     1.21
## 7  1993      0.83     797           0.5       398.5     1.03
## 8  1994      0.82     767           0.5       383.5     0.75
## 9  1995      0.86     896           0.5       448.0     1.62
## 10 1996      0.90    1039           0.5       519.5     1.21
## 11 1997      0.77     575           0.5       287.5     0.65
## 12 1998      0.76     520           0.5       260.0     0.63
## 13 1999      0.81     701           0.5       350.5     0.99
## 14 2000      0.78     607           0.5       303.5     0.86
## 15 2001      0.81     703           0.5       351.5     1.18
## 16 2002      0.81     713           0.5       356.5     0.96
## 17 2003      0.78     605           0.5       302.5     0.56
## 18 2004      0.81     726           0.5       363.0     1.20
## 19 2005      0.74     480           0.5       240.0     0.97
## 20 2006      0.77     571           0.5       285.5     1.02
## 21 2007      0.92    1112           0.5       556.0     1.24
## 22 2008      0.86     889           0.5       444.5     1.20
## 23 2009      0.87     948           0.5       474.0     0.59
## 24 2010      0.76     517           0.5       258.5     1.03
## 25 2011      0.78     594           0.5       297.0     0.79
## 26 2012      0.74     450           0.5       225.0     0.77
## 27 2013      0.84     819           0.5       409.5     1.15
## 28 2014      0.82     748           0.5       374.0     1.24
## 29 2015      0.94    1203           0.5       601.5     0.86
## 30 2016      0.82     761           0.5       380.5     1.41
## 31 2017      0.85     856           0.5       428.0     1.77
## 32 2018      0.81     704           0.5       352.0     0.84
## [1] "ht4"
## 0.1 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.006634
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.00     712           0.1       783.2     1.14
## 2  1988      0.98     529           0.1       581.9     0.86
## 3  1989      1.02     901           0.1       991.1     0.83
## 4  1990      1.07    1300           0.1      1430.0     1.13
## 5  1991      1.00     693           0.1       762.3     1.09
## 6  1992      1.05    1155           0.1      1270.5     1.16
## 7  1993      1.01     797           0.1       876.7     1.03
## 8  1994      1.01     767           0.1       843.7     0.85
## 9  1995      1.02     896           0.1       985.6     1.08
## 10 1996      1.04    1039           0.1      1142.9     0.61
## 11 1997      0.98     575           0.1       632.5     0.85
## 12 1998      0.98     520           0.1       572.0     0.98
## 13 1999      1.00     701           0.1       771.1     1.04
## 14 2000      0.99     607           0.1       667.7     1.05
## 15 2001      1.00     703           0.1       773.3     0.99
## 16 2002      1.00     713           0.1       784.3     1.05
## 17 2003      0.99     605           0.1       665.5     1.07
## 18 2004      1.00     726           0.1       798.6     1.21
## 19 2005      0.97     480           0.1       528.0     0.89
## 20 2006      0.98     571           0.1       628.1     1.07
## 21 2007      1.05    1112           0.1      1223.2     1.08
## 22 2008      1.02     889           0.1       977.9     0.95
## 23 2009      1.03     948           0.1      1042.8     0.75
## 24 2010      0.98     517           0.1       568.7     0.93
## 25 2011      0.99     594           0.1       653.4     0.72
## 26 2012      0.97     450           0.1       495.0     0.96
## 27 2013      1.01     819           0.1       900.9     0.76
## 28 2014      1.00     748           0.1       822.8     1.44
## 29 2015      1.06    1203           0.1      1323.3     1.15
## 30 2016      1.01     761           0.1       837.1     1.19
## 31 2017      1.02     856           0.1       941.6     1.08
## 32 2018      1.00     704           0.1       774.4     0.95

## [1] "ht4"
## 0.2 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.015251
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.01     712           0.2       854.4     1.14
## 2  1988      0.98     529           0.2       634.8     0.86
## 3  1989      1.03     901           0.2      1081.2     0.83
## 4  1990      1.09    1300           0.2      1560.0     1.13
## 5  1991      1.01     693           0.2       831.6     1.09
## 6  1992      1.07    1155           0.2      1386.0     1.16
## 7  1993      1.02     797           0.2       956.4     1.03
## 8  1994      1.02     767           0.2       920.4     0.85
## 9  1995      1.03     896           0.2      1075.2     1.08
## 10 1996      1.05    1039           0.2      1246.8     0.61
## 11 1997      0.99     575           0.2       690.0     0.85
## 12 1998      0.98     520           0.2       624.0     0.98
## 13 1999      1.01     701           0.2       841.2     1.04
## 14 2000      0.99     607           0.2       728.4     1.05
## 15 2001      1.01     703           0.2       843.6     0.99
## 16 2002      1.01     713           0.2       855.6     1.05
## 17 2003      0.99     605           0.2       726.0     1.07
## 18 2004      1.01     726           0.2       871.2     1.21
## 19 2005      0.98     480           0.2       576.0     0.89
## 20 2006      0.99     571           0.2       685.2     1.07
## 21 2007      1.06    1112           0.2      1334.4     1.08
## 22 2008      1.03     889           0.2      1066.8     0.95
## 23 2009      1.04     948           0.2      1137.6     0.75
## 24 2010      0.98     517           0.2       620.4     0.93
## 25 2011      0.99     594           0.2       712.8     0.72
## 26 2012      0.97     450           0.2       540.0     0.96
## 27 2013      1.02     819           0.2       982.8     0.76
## 28 2014      1.01     748           0.2       897.6     1.44
## 29 2015      1.07    1203           0.2      1443.6     1.15
## 30 2016      1.01     761           0.2       913.2     1.19
## 31 2017      1.03     856           0.2      1027.2     1.08
## 32 2018      1.01     704           0.2       844.8     0.95

## [1] "ht4"
## 0.3 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.023868
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.02     712           0.3       925.6     1.14
## 2  1988      0.99     529           0.3       687.7     0.86
## 3  1989      1.04     901           0.3      1171.3     0.83
## 4  1990      1.10    1300           0.3      1690.0     1.13
## 5  1991      1.01     693           0.3       900.9     1.09
## 6  1992      1.08    1155           0.3      1501.5     1.16
## 7  1993      1.03     797           0.3      1036.1     1.03
## 8  1994      1.02     767           0.3       997.1     0.85
## 9  1995      1.04     896           0.3      1164.8     1.08
## 10 1996      1.06    1039           0.3      1350.7     0.61
## 11 1997      1.00     575           0.3       747.5     0.85
## 12 1998      0.99     520           0.3       676.0     0.98
## 13 1999      1.01     701           0.3       911.3     1.04
## 14 2000      1.00     607           0.3       789.1     1.05
## 15 2001      1.01     703           0.3       913.9     0.99
## 16 2002      1.02     713           0.3       926.9     1.05
## 17 2003      1.00     605           0.3       786.5     1.07
## 18 2004      1.02     726           0.3       943.8     1.21
## 19 2005      0.98     480           0.3       624.0     0.89
## 20 2006      1.00     571           0.3       742.3     1.07
## 21 2007      1.07    1112           0.3      1445.6     1.08
## 22 2008      1.04     889           0.3      1155.7     0.95
## 23 2009      1.05     948           0.3      1232.4     0.75
## 24 2010      0.99     517           0.3       672.1     0.93
## 25 2011      1.00     594           0.3       772.2     0.72
## 26 2012      0.98     450           0.3       585.0     0.96
## 27 2013      1.03     819           0.3      1064.7     0.76
## 28 2014      1.02     748           0.3       972.4     1.44
## 29 2015      1.09    1203           0.3      1563.9     1.15
## 30 2016      1.02     761           0.3       989.3     1.19
## 31 2017      1.04     856           0.3      1112.8     1.08
## 32 2018      1.01     704           0.3       915.2     0.95

## [1] "ht4"
## 0.4 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.032485
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.02     712           0.4       996.8     1.14
## 2  1988      0.99     529           0.4       740.6     0.86
## 3  1989      1.05     901           0.4      1261.4     0.83
## 4  1990      1.12    1300           0.4      1820.0     1.13
## 5  1991      1.02     693           0.4       970.2     1.09
## 6  1992      1.09    1155           0.4      1617.0     1.16
## 7  1993      1.04     797           0.4      1115.8     1.03
## 8  1994      1.03     767           0.4      1073.8     0.85
## 9  1995      1.05     896           0.4      1254.4     1.08
## 10 1996      1.07    1039           0.4      1454.6     0.61
## 11 1997      1.00     575           0.4       805.0     0.85
## 12 1998      0.99     520           0.4       728.0     0.98
## 13 1999      1.02     701           0.4       981.4     1.04
## 14 2000      1.01     607           0.4       849.8     1.05
## 15 2001      1.02     703           0.4       984.2     0.99
## 16 2002      1.02     713           0.4       998.2     1.05
## 17 2003      1.01     605           0.4       847.0     1.07
## 18 2004      1.03     726           0.4      1016.4     1.21
## 19 2005      0.99     480           0.4       672.0     0.89
## 20 2006      1.00     571           0.4       799.4     1.07
## 21 2007      1.09    1112           0.4      1556.8     1.08
## 22 2008      1.05     889           0.4      1244.6     0.95
## 23 2009      1.06     948           0.4      1327.2     0.75
## 24 2010      0.99     517           0.4       723.8     0.93
## 25 2011      1.01     594           0.4       831.6     0.72
## 26 2012      0.98     450           0.4       630.0     0.96
## 27 2013      1.04     819           0.4      1146.6     0.76
## 28 2014      1.03     748           0.4      1047.2     1.44
## 29 2015      1.10    1203           0.4      1684.2     1.15
## 30 2016      1.03     761           0.4      1065.4     1.19
## 31 2017      1.05     856           0.4      1198.4     1.08
## 32 2018      1.02     704           0.4       985.6     0.95

## [1] "ht4"
## 0.5 Added proportion to original grow pp.
## Mean of predicted RWIs =  1.041102
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      1.03     712           0.5      1068.0     1.14
## 2  1988      1.00     529           0.5       793.5     0.86
## 3  1989      1.06     901           0.5      1351.5     0.83
## 4  1990      1.13    1300           0.5      1950.0     1.13
## 5  1991      1.03     693           0.5      1039.5     1.09
## 6  1992      1.11    1155           0.5      1732.5     1.16
## 7  1993      1.05     797           0.5      1195.5     1.03
## 8  1994      1.04     767           0.5      1150.5     0.85
## 9  1995      1.06     896           0.5      1344.0     1.08
## 10 1996      1.09    1039           0.5      1558.5     0.61
## 11 1997      1.01     575           0.5       862.5     0.85
## 12 1998      1.00     520           0.5       780.0     0.98
## 13 1999      1.03     701           0.5      1051.5     1.04
## 14 2000      1.01     607           0.5       910.5     1.05
## 15 2001      1.03     703           0.5      1054.5     0.99
## 16 2002      1.03     713           0.5      1069.5     1.05
## 17 2003      1.01     605           0.5       907.5     1.07
## 18 2004      1.03     726           0.5      1089.0     1.21
## 19 2005      0.99     480           0.5       720.0     0.89
## 20 2006      1.01     571           0.5       856.5     1.07
## 21 2007      1.10    1112           0.5      1668.0     1.08
## 22 2008      1.06     889           0.5      1333.5     0.95
## 23 2009      1.07     948           0.5      1422.0     0.75
## 24 2010      1.00     517           0.5       775.5     0.93
## 25 2011      1.01     594           0.5       891.0     0.72
## 26 2012      0.99     450           0.5       675.0     0.96
## 27 2013      1.05     819           0.5      1228.5     0.76
## 28 2014      1.04     748           0.5      1122.0     1.44
## 29 2015      1.11    1203           0.5      1804.5     1.15
## 30 2016      1.04     761           0.5      1141.5     1.19
## 31 2017      1.06     856           0.5      1284.0     1.08
## 32 2018      1.03     704           0.5      1056.0     0.95

## [1] "ht4"
## 0.1 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.9893996
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.98     712           0.1       640.8     1.14
## 2  1988      0.97     529           0.1       476.1     0.86
## 3  1989      1.00     901           0.1       810.9     0.83
## 4  1990      1.04    1300           0.1      1170.0     1.13
## 5  1991      0.98     693           0.1       623.7     1.09
## 6  1992      1.03    1155           0.1      1039.5     1.16
## 7  1993      0.99     797           0.1       717.3     1.03
## 8  1994      0.99     767           0.1       690.3     0.85
## 9  1995      1.00     896           0.1       806.4     1.08
## 10 1996      1.02    1039           0.1       935.1     0.61
## 11 1997      0.97     575           0.1       517.5     0.85
## 12 1998      0.96     520           0.1       468.0     0.98
## 13 1999      0.98     701           0.1       630.9     1.04
## 14 2000      0.97     607           0.1       546.3     1.05
## 15 2001      0.98     703           0.1       632.7     0.99
## 16 2002      0.98     713           0.1       641.7     1.05
## 17 2003      0.97     605           0.1       544.5     1.07
## 18 2004      0.99     726           0.1       653.4     1.21
## 19 2005      0.96     480           0.1       432.0     0.89
## 20 2006      0.97     571           0.1       513.9     1.07
## 21 2007      1.02    1112           0.1      1000.8     1.08
## 22 2008      1.00     889           0.1       800.1     0.95
## 23 2009      1.01     948           0.1       853.2     0.75
## 24 2010      0.96     517           0.1       465.3     0.93
## 25 2011      0.97     594           0.1       534.6     0.72
## 26 2012      0.96     450           0.1       405.0     0.96
## 27 2013      0.99     819           0.1       737.1     0.76
## 28 2014      0.99     748           0.1       673.2     1.44
## 29 2015      1.03    1203           0.1      1082.7     1.15
## 30 2016      0.99     761           0.1       684.9     1.19
## 31 2017      1.00     856           0.1       770.4     1.08
## 32 2018      0.98     704           0.1       633.6     0.95
## [1] "ht4"
## 0.2 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.9807825
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.98     712           0.2       569.6     1.14
## 2  1988      0.96     529           0.2       423.2     0.86
## 3  1989      0.99     901           0.2       720.8     0.83
## 4  1990      1.03    1300           0.2      1040.0     1.13
## 5  1991      0.97     693           0.2       554.4     1.09
## 6  1992      1.02    1155           0.2       924.0     1.16
## 7  1993      0.98     797           0.2       637.6     1.03
## 8  1994      0.98     767           0.2       613.6     0.85
## 9  1995      0.99     896           0.2       716.8     1.08
## 10 1996      1.01    1039           0.2       831.2     0.61
## 11 1997      0.96     575           0.2       460.0     0.85
## 12 1998      0.96     520           0.2       416.0     0.98
## 13 1999      0.97     701           0.2       560.8     1.04
## 14 2000      0.97     607           0.2       485.6     1.05
## 15 2001      0.97     703           0.2       562.4     0.99
## 16 2002      0.98     713           0.2       570.4     1.05
## 17 2003      0.97     605           0.2       484.0     1.07
## 18 2004      0.98     726           0.2       580.8     1.21
## 19 2005      0.95     480           0.2       384.0     0.89
## 20 2006      0.96     571           0.2       456.8     1.07
## 21 2007      1.01    1112           0.2       889.6     1.08
## 22 2008      0.99     889           0.2       711.2     0.95
## 23 2009      1.00     948           0.2       758.4     0.75
## 24 2010      0.96     517           0.2       413.6     0.93
## 25 2011      0.97     594           0.2       475.2     0.72
## 26 2012      0.95     450           0.2       360.0     0.96
## 27 2013      0.99     819           0.2       655.2     0.76
## 28 2014      0.98     748           0.2       598.4     1.44
## 29 2015      1.02    1203           0.2       962.4     1.15
## 30 2016      0.98     761           0.2       608.8     1.19
## 31 2017      0.99     856           0.2       684.8     1.08
## 32 2018      0.97     704           0.2       563.2     0.95
## [1] "ht4"
## 0.3 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.9721655
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.97     712           0.3       498.4     1.14
## 2  1988      0.95     529           0.3       370.3     0.86
## 3  1989      0.98     901           0.3       630.7     0.83
## 4  1990      1.01    1300           0.3       910.0     1.13
## 5  1991      0.97     693           0.3       485.1     1.09
## 6  1992      1.00    1155           0.3       808.5     1.16
## 7  1993      0.97     797           0.3       557.9     1.03
## 8  1994      0.97     767           0.3       536.9     0.85
## 9  1995      0.98     896           0.3       627.2     1.08
## 10 1996      0.99    1039           0.3       727.3     0.61
## 11 1997      0.96     575           0.3       402.5     0.85
## 12 1998      0.95     520           0.3       364.0     0.98
## 13 1999      0.97     701           0.3       490.7     1.04
## 14 2000      0.96     607           0.3       424.9     1.05
## 15 2001      0.97     703           0.3       492.1     0.99
## 16 2002      0.97     713           0.3       499.1     1.05
## 17 2003      0.96     605           0.3       423.5     1.07
## 18 2004      0.97     726           0.3       508.2     1.21
## 19 2005      0.95     480           0.3       336.0     0.89
## 20 2006      0.96     571           0.3       399.7     1.07
## 21 2007      1.00    1112           0.3       778.4     1.08
## 22 2008      0.98     889           0.3       622.3     0.95
## 23 2009      0.99     948           0.3       663.6     0.75
## 24 2010      0.95     517           0.3       361.9     0.93
## 25 2011      0.96     594           0.3       415.8     0.72
## 26 2012      0.95     450           0.3       315.0     0.96
## 27 2013      0.98     819           0.3       573.3     0.76
## 28 2014      0.97     748           0.3       523.6     1.44
## 29 2015      1.01    1203           0.3       842.1     1.15
## 30 2016      0.97     761           0.3       532.7     1.19
## 31 2017      0.98     856           0.3       599.2     1.08
## 32 2018      0.97     704           0.3       492.8     0.95
## [1] "ht4"
## 0.4 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.9635484
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.96     712           0.4       427.2     1.14
## 2  1988      0.95     529           0.4       317.4     0.86
## 3  1989      0.97     901           0.4       540.6     0.83
## 4  1990      1.00    1300           0.4       780.0     1.13
## 5  1991      0.96     693           0.4       415.8     1.09
## 6  1992      0.99    1155           0.4       693.0     1.16
## 7  1993      0.97     797           0.4       478.2     1.03
## 8  1994      0.96     767           0.4       460.2     0.85
## 9  1995      0.97     896           0.4       537.6     1.08
## 10 1996      0.98    1039           0.4       623.4     0.61
## 11 1997      0.95     575           0.4       345.0     0.85
## 12 1998      0.95     520           0.4       312.0     0.98
## 13 1999      0.96     701           0.4       420.6     1.04
## 14 2000      0.95     607           0.4       364.2     1.05
## 15 2001      0.96     703           0.4       421.8     0.99
## 16 2002      0.96     713           0.4       427.8     1.05
## 17 2003      0.95     605           0.4       363.0     1.07
## 18 2004      0.96     726           0.4       435.6     1.21
## 19 2005      0.94     480           0.4       288.0     0.89
## 20 2006      0.95     571           0.4       342.6     1.07
## 21 2007      0.99    1112           0.4       667.2     1.08
## 22 2008      0.97     889           0.4       533.4     0.95
## 23 2009      0.98     948           0.4       568.8     0.75
## 24 2010      0.95     517           0.4       310.2     0.93
## 25 2011      0.95     594           0.4       356.4     0.72
## 26 2012      0.94     450           0.4       270.0     0.96
## 27 2013      0.97     819           0.4       491.4     0.76
## 28 2014      0.96     748           0.4       448.8     1.44
## 29 2015      0.99    1203           0.4       721.8     1.15
## 30 2016      0.96     761           0.4       456.6     1.19
## 31 2017      0.97     856           0.4       513.6     1.08
## 32 2018      0.96     704           0.4       422.4     0.95
## [1] "ht4"
## 0.5 subracted porportion to original grow pp.
## Mean of predicted RWIs =  0.9549314
##    Year Pred. RWI Grow PP Increment PP. New Grow PP Org. RWI
## 1  1987      0.95     712           0.5       356.0     1.14
## 2  1988      0.94     529           0.5       264.5     0.86
## 3  1989      0.96     901           0.5       450.5     0.83
## 4  1990      0.98    1300           0.5       650.0     1.13
## 5  1991      0.95     693           0.5       346.5     1.09
## 6  1992      0.98    1155           0.5       577.5     1.16
## 7  1993      0.96     797           0.5       398.5     1.03
## 8  1994      0.95     767           0.5       383.5     0.85
## 9  1995      0.96     896           0.5       448.0     1.08
## 10 1996      0.97    1039           0.5       519.5     0.61
## 11 1997      0.94     575           0.5       287.5     0.85
## 12 1998      0.94     520           0.5       260.0     0.98
## 13 1999      0.95     701           0.5       350.5     1.04
## 14 2000      0.95     607           0.5       303.5     1.05
## 15 2001      0.95     703           0.5       351.5     0.99
## 16 2002      0.95     713           0.5       356.5     1.05
## 17 2003      0.95     605           0.5       302.5     1.07
## 18 2004      0.95     726           0.5       363.0     1.21
## 19 2005      0.94     480           0.5       240.0     0.89
## 20 2006      0.94     571           0.5       285.5     1.07
## 21 2007      0.97    1112           0.5       556.0     1.08
## 22 2008      0.96     889           0.5       444.5     0.95
## 23 2009      0.96     948           0.5       474.0     0.75
## 24 2010      0.94     517           0.5       258.5     0.93
## 25 2011      0.95     594           0.5       297.0     0.72
## 26 2012      0.94     450           0.5       225.0     0.96
## 27 2013      0.96     819           0.5       409.5     0.76
## 28 2014      0.95     748           0.5       374.0     1.44
## 29 2015      0.98    1203           0.5       601.5     1.15
## 30 2016      0.95     761           0.5       380.5     1.19
## 31 2017      0.96     856           0.5       428.0     1.08
## 32 2018      0.95     704           0.5       352.0     0.95