High elevation bristlecone pines (Pinus longaeva) such as those
in the White Mountains of California provide multi-millennial
records of growth of great potential value to the reconstruction of
past climate. Is it possible to disentangle the influences of
temperature and water availability on tree-ring growth in such
high, cool, dry places?
Applying a process-based model of tree-ring formation to high
elevation treesRebecca S. Franklin (1), Malcolm K. Hughes (1),
Eugene A. Vaganov (2), Kevin J. Anchukaitis (1) and Michael N.
Evans (1)(1) Laboratory of Tree-Ring Research, University of
Arizona, Tucson AZ, (2) V. N. Sukachev Institute of Forest,
Krasnoyarsk, RussiaFig 1. Bristlecone pine tree, White Mtns,
CAFigure 9. Methuselah Walk, Model OutputFigure 10. Sheep/Campito
Mountain, Model Output9.19.29.3Figure 7. Methuselah Walk Actual v.
Modeled2805 meters a.s.l.Figure 8. Sheep/Campito Mtns, Actual v.
Modelled 3450 meters a.s.l.2805 meters a.s.l.3450 meters a.s.l.The
trees simulated by the Vaganov-Shashkin tree-ring model are located
in the White Mountains of California, east of the Sierra Nevada and
Owens Valley.
The climate in the White Mountains is very cold and extremely
dry, with an annual precipitation of 30 to 50 cm/yr and yearly
temperature range from -6 to 14 degrees Celcius.
.To answer that question we modeled annual tree ring growth
increments using a process based model that uses first principles
of tree biology and climate data (insolation, precipitation and
temperature) to try to determine the relative influence and change
over time of these different climate parameters on tree ring
growth.
In this poster we will briefly explain how the model works and
what the output means for causes of variation in ring width
formation
Interpretation of Model OutputTo examine the effects of changing
climate parameters we have chosen to use a parametric process-based
model rather than a statistical model because of the problems that
statistical models have with the changing response of tree-ring
formation to linear changes in temperature and precipitation. The
V-S model will produce a ring width index based solely on changes
in insolation, precipitation and temperature for comparison against
actual tree-ring chronologies from our two White Mountain sites.The
Vaganov-Shashkin model has two distinguishing features. First, in
the growth block, it deals with rates of growth of cells as if
their formation in the cambium is influenced exclusively by the
physical environment. This is a major simplification of present
knowledge of wood biology, made for the purpose of simplifying the
model and reducing the number of parameters. Secondly, in the
cambial block, it deals explicitly with the dynamics of cell
growth, division and maturation. This cambial block is driven by
and is connected with the growth block. Thus the model simulates
not only the width of conifer tree rings but also aspects of their
internal structure reflecting intra-seasonal environmental
fluctuations. At the end of the year tree-ring width is calculated
from the number of non-cambial cells produced over the course of
the growing season.
Cambial Block
In the cambial block, which simulates the growth and formation
of wood cells in the tree cambium, the daily growth rate is used to
calculate the cellular growth rate V (j,t):V(j,t) = f{j,G(t)}
Where the index j indicates the position in the cambial zone of
the growing cell, and V(j,t) is the dependence of growth rate,
G(t), on position (Fig 3). Each cell is permitted to be dormant,
grow, divide and/or differentiate into xylem on an intra-day
interval.
If cellular growth rate is greater that Vcr (dormant) but less
than position-dependant minimum growth rate Vmin, then the cell can
no longer divide and exits the cambial zone. Otherwise the cell
grows according to the environmentally scaled growth rate V(j,t)
for that intra-day interval.
If the cell reaches or exceeds a critical cambial cell size the
cell must enter and complete the mitotic cycle. The cell now grows
at an environmentally independent and constant growth rate until it
reaches division size.
At this point it is divided into two adjacent cells, each equal
in size to one-half the parent cell size. At the end of the growing
season, growth rate of the remaining cells in the cambial zone fall
below Vcr and become dormant. They now represent the initial
cambial cells for the subsequent growing season.
An increased rate of cambial division (Nc2 v. Nc1) will result
in a larger zone of dividing cells.
Growth Block
The growth block uses the principle of limiting factors to
calculate conifer tree ring formation integrated over the growing
season from daily temperature precipitation and sunlight. The daily
growth rate on a specific day t is modeled as:
G(t) =gE(t)*min[gT(t), gW(t)] (Fig 2)
where gE(t), gT(t) and gW(t) are the daily growth rates due to
solar radiation, temperature and soil water balance. The minimum
function permits tree-ring formation to vary in effective
functional dependence among temperature, moisture and
sunlight.Figure 2Figure 4Figure 5Figure 6The Vaganov-Shashkin
Tree-Ring ModelApplication of the modelFigures 9-10 are graphical
representations of the process of modeling the series of annual
growth increments displayed in figures 7-8 and allow us to separate
the effects of water and temperature on the daily growth rate of
the cambial cells and hence, ring width.Along with a discussion of
what is controlling average growth over the growing season,
potential causes of narrow ring formation versus wide ring
formation will be presented in the Interpretation of Model Output
box. Examples of wide (A) and narrow (B) ring widths are
highlighted below for reference.10.310.210.1Daily precipitation
Daily temperatureAverage temperatureLimits on growth due to
temperature gT(t)and precipitation gW(t)Daily cambial growth rate
G(t)and # of cells per ring N(t)AABBBAFor the 22-year average at
the lower elevation site, temperature seems to be controlling both
the beginning and end of growth while precipitation, on average,
exhibits a stronger influence during the peak of growth in the
mid-summer dry season.
At the upper elevation site, where there is higher precipitation
and lower temperatures, temperature primarily appears to be the
limiting factor on growth with a smaller influence from water
stress during the dry season.
The simulation of the White mountain chronologies are highly
positively significant, with R values of .61 and .63 for the upper
and lower sites, respectively. We feel the model has accurately
captured the interplay of the effects of temperature and
precipitation on tree-ring formation. Influences, such as timing of
precipitation events and cold and worm spells (unable to be
captured by statistical models) can affect ring width.
The years of small ring formation at the upper elevation site
all correspond to years in which the midsummer drought exhibited a
limiting effect on growth rate. In the lower elevation site, while
precipitation plays a larger role in limiting ring width, it plays
an even larger role in limiting growth in the years of narrow ring
production (1960, 1961, 1966 & 1970 for example). In these
years at the upper site, the most extreme of the narrow rings all
exhibit colder than average temperatures during the beginning of
the growing season while the most extreme of the narrow years at
the lower site had warmer than average temperatures at that time.
These extremes, combined with summer drought apparently have a
highly limiting effect on growth.
We used meterological data from station records of daily
precipitation and mean temperature from the comprehensive Global
Daily Climatological Network (GDCN) that are, somewhat unusually
available at two high elevation stations in the White Mountains to
simulate bristlecone pine tree-ring chronologies there.
Missing temperature data are replaced by linearly interpolated
values; missing precipitation data were simply set to zero.
Temperature is partially corrected for elevational differences by
using an adiabatic correction for the mean elevation difference
between the actual tree-ring chronologies and the meteorological
stations.
From Richter, 1988Transverse section of conifer cambium80
mbarkSite LocationR=.61, p02.5-14.20.071960
1960000-15.10.07
1960004.6-15.50.07
1960002.5-16.50.07
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1960000-3.70.07
1960000.8-4.10.07
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1960000-5.20.07
1960000-5.80.07
1960000-60.07
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1960000-1.90.07
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1960000-0.50.07
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196000000.07
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1960000-2.20.07
1960000-2.30.07
1960000-3.10.07
1960000-3.70.07
1960000-3.50.07
1960000-2.70.07
1960000-1.90.07
1960000-0.60.07
19600000.50.07
19600001.20.07
19600001.70.07
19600002.40.07
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19600000.80.07
19600000.60.07
196000000.07
1960000-0.60.07
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1960000-0.40.07
196000000.07
19600000.80.07
19600000.40.07
1960002-1.80.07
1960001-4.20.07
1960000-60.07
1960000-7.20.07
1960002-80.07
1960004.3-8.90.07
19600018.8-9.50.07
1960000-9.40.07
1960000-8.50.07
1960002.3-7.40.07
1960000-6.50.07
1960001-5.90.07
1960004.3-60.07
1960000-5.10.07
1960000-3.50.07
1960000-2.40.07
1960000-0.90.07
19600000.80.07
19600002.50.07
19600003.90.07
19600004.70.07
196000050.07
19600004.90.07
19600004.60.07
196000040.07
19600003.30.01
196000020.01
19600001.70.01
19600001.40.01
19600000.50.01
1960002-10.01
1960000-2.20.01
1960000-2.70.01
1960000-2.30.02
1960000-1.50.02
1960000-0.60.03
19600000.30.04
19600001.50.06
19600002.70.07
19600.070040.04
19600.11005.20.03
19600.15006.40.02
19600.19007.50.01
19600.06008.20.01
1960001.38.60.01
19600.1401.38.60.01
19600.2502.58.20.01
19600.3501.37.60.02
19600.32007.20.02
19600.3006.90.02
19600.310070.01
19600.34107.40.01
19600.23107.90.01
19600.13108.60.01
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19600.09108.90.01
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196001011.10.01
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1960018.9120.01
19600.621011.50.02
19600.621011.50.02
19600.611011.40.01
19600.5910.811.30.01
19600.5110110.01
19600.351011.10.01
19600.23111.411.40.01
19600.5713.811.10.02
19600.551010.70.02
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19600.2522.3130.01
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19600525.41.80.01
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19600.076250.02
19600.02619.33.60.03
19600620.32.30.04
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1961----->00-3.20.051961
1961000-3.90.05
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196100000.05
1961000-0.50.05
1961000-0.80.05
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1961002-20.05
1961004.3-2.90.05
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1961006.9-4.30.05
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1961000-3.70.05
1961000-3.30.05
1961000-2.70.05
1961000-3.40.05
1961000-4.10.05
1961004.8-4.20.05
1961000-3.90.05
1961000-4.40.05
1961000-5.10.05
1961000-5.90.05
1961000-6.40.05
1961000-6.10.05
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1961000-3.30.05
1961002.3-3.70.05
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1961000-5.20.05
1961002.5-5.90.05
1961000-70.05
1961000-7.20.05
1961000-7.20.05
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1961000-6.70.05
1961000-6.40.05
1961000-5.60.05
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19610011.9-4.90.05
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19610021.6-7.70.05
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1961000-6.40.05
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1961000-2.50.05
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19610005.50.3
19610.1005.50.32
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196100030.28
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19610000.10.26
19610000.30.26
19610000.90.26
19610001.90.25
19610003.10.24
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19610.25006.20.2
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19610.33007.40.17
19610.38007.90.15
19610.43008.60.14
19610.49009.40.13
19610.550010.10.12
19610.590010.90.11
19610.620011.60.11
19610.660012.30.1
19610.690013.10.09
19610.720014.20.09
19610.750014.90.08
19610.790014.80.07
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1961070.312.60.01
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19610.11716.511.50.01
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19610.46709.90.02
19610.44709.70.02
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1962----->00-0.10.051962
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19620001.30.3
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19620001.50.7
19620002.20.3
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19620.570010.50.3
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19620.42308.60.24
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19620.45309.10.23
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19620.524010.10.22
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19620.574010.90.21
19620.5840110.21
19620.614011.40.21
19620.624011.60.2
19620.614011.50.2
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19620.66011.40.19
19620.616011.70.19
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19620.596011.40.18
19620.5660110.18
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19620.4710010.70.13
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19620.411009.90.13
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19620.4210010.10.13
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19620.3513010.10.11
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1966------>05.1-6.80.141966
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19660.131407.50.01
19660.121407.60.01
19660.111407.50.01
19660.091407.40.01
19660.081407.10.01
19660.071406.50.01
19660.0714060.01
19660.061405.50.01
19660.051405.10.01
19660.051404.80.01
19660.041405.10.01
19660.041405.40.01
19660.041405.60.01
19660.031405.60.01
19660.031404.90.01
19660.021404.10.01
19660.021403.70.01
196601402.60.01
196601401.70.01
1966014020.01
196601402.60.01
1966014030.01
1966014030.01
19660.011403.10.01
19660.011403.60.01
196601404.30.01
196601405.20.01
196601405.90.01
196601406.30.01
196601406.30.01
196601406.80.01
196601406.70.01
196601406.60.01
1966014070.01
196601407.40.01
196601407.40.01
196601406.90.01
196601406.20.01
196601405.40.01
196601404.10.01
196601402.60.01
196601401.50.01
1966014010.01
196601400.80.01
196601400.40.01
196601400.40.01
196601400.50.01
196601400.80.01
1966014010.01
196601401.10.01
196601401.10.01
196601401.30.01
19660142.31.30.01
196601400.40.01
19660140-0.30.01
19660142.5-1.30.01
19660140-3.10.01
19660140-4.70.01
19660140-5.60.01
19660140-5.10.01
19660140-4.10.01
19660140-3.10.01
19660140-1.90.01
196601415.2-0.60.01
19660140-0.20.01
19660140-0.40.01
19660140-1.30.01
196601481.3-1.80.01
1966014111.8-2.10.01
196601422.9-30.01
19660140-3.80.01
19660140-4.60.01
19660140-5.30.01
19660140-5.20.01
19660140-4.80.01
19660140-4.40.01
19660140-4.10.01
19660140-3.20.01
19660140-2.30.01
19660140-1.50.01
19660140-10.01
19660140-0.60.01
19660140-0.10.01
196601400.20.01
1966014000.01
19660140-0.30.01
19660140-0.70.01
19660140-1.10.01
19660141.3-2.40.01
19660140-4.40.01
19660140-5.90.01
19660140-6.80.01
19660140-7.20.01
Comp_Graph_Low
Gr
#cells
Comp_Graph_High
PPT
TEMP
SheepCamp
Soil M
Total
#cells
cum %
1959
test graphs
HIGH GROWTH
temppptsoil mGr#cells
1969----->-0.200.0700
2-0.500.0700
3-0.400.0700
40.200.0700
5100.0700
62.100.0700
72.800.0700
82.500.0700
91.700.0700
100.700.0700
11-0.300.0700
12-1.200.0700
13-1.600.0700
14-2.24.30.0700
15-300.0700
16-3.900.0700
17-4.700.0700
18-5.100.0700
19-4.814.50.0700
20-4.915.50.0700
21-4.813.20.0700
22-5.410.20.0700
23-6.700.0700
24-7.111.90.0700
25-7.127.90.0700
26-7.127.20.0700
27-7.66.90.0700
28-8.400.0700
29-9.85.80.0700
30-1100.0700
31-11.900.0700
32-11.500.0700
33-11.400.0700
34-10.400.0700
35-9.300.0700
36-900.0700
37-8.910.70.0700
38-9.27.60.0700
39-8.700.0700
40-8.100.0700
41-7.400.0700
42-6.500.0700
43-6.300.0700
44-6.300.0700
45-6.200.0700
46-65.80.0700
47-6.8150.0700
48-700.0700
49-7.22.50.0700
50-7.711.40.0700
51-8.38.60.0700
52-8.95.60.0700
53-9.64.10.0700
54-9.800.0700
55-10.119.60.0700
56-10.334.50.0700
57-10.700.0700
58-10.800.0700
59-10.500.0700
60-10.611.90.0700
61-10.300.0700
62-1020.0700
63-10.516.50.0700
64-10.37.60.0700
65-9.86.10.0700
66-10.500.0700
67-11.300.0700
68-11.900.0700
69-12.114.70.0700
70-12.500.0700
71-12.800.0700
72-12.93.60.0700
73-13.100.0700
74-1200.0700
75-1000.0700
76-8.600.0700
77-7.200.0700
78-6.300.0700
79-5.600.0700
80-58.90.0700
81-5.230.50.0700
82-500.0700
83-500.0700
84-4.600.0700
85-3.800.0700
86-300.0700
87-2.400.0700
88-1.600.0700
89-0.600.0700
900.100.0700
910.200.0700
920.400.0700
93-0.400.0700
94-0.600.0700
95-0.700.0700
96-223.90.0700
97-3.51.50.0700
98-3.600.0700
99-3.300.0700
100-3.220.0700
101-2.900.0700
102-1.800.0700
103-1.600.0700
104-1.400.0700
105-2.31.50.0700
106-300.0700
107-300.0700
108-3.12.50.0700
109-3.100.0700
110-2.100.0700
111-1.100.0700
112-0.200.0700
113000.0700
114-0.800.0700
115-1.900.0700
116-2.600.0700
117-300.0700
118-2.500.0700
119-2.100.0700
120-1.600.0700
121-1.100.0700
122-0.700.0700
123-0.530.0700
124-0.98.10.0700
125-1.27.60.0700
126-1.100.0700
127-0.600.0700
128-0.100.0700
1290.700.0700
1301.400.0700
1312.200.0700
1323.100.0700
1333.800.0700
1344.200.0700
1354.100.0700
1364.400.0700
1374.600.300
1384.600.3100
1394.700.330.120
1404.600.340.120
1414.600.350.120
1424.900.360.140
143500.380.150
1445.300.390.170
1455.600.40.190
1465.800.410.210
147600.430.220
1486.200.440.240
1496.500.460.261
1506.800.470.291
1517.300.480.331
1527.500.50.341
1537.500.520.341
1547.900.530.371
1558.500.550.421
1568.700.560.441
1578.800.570.451
158900.550.461
1598.800.530.441
1607.800.510.371
1616.426.20.50.261
1625.300.520.181
1634.410.510.111
1643.800.50.061
1653.70.80.50.061
1663.900.490.071
1673.91.30.490.071
1683.844.50.480.061
1694.45.80.510.111
1704.700.510.131
1715.100.510.161
1725.300.50.171
1735.500.490.191
1746.100.490.231
1755.500.480.22
1765.200.480.172
1774.600.470.122
1784.200.470.12
1793.900.460.072
1803.600.460.052
1813.600.450.052
1824.600.450.122
1835.900.450.222
1847.200.440.322
1858.200.440.42
186900.430.462
1879.400.420.482
1889.400.420.492
1899.200.410.472
1909.300.40.472
191900.40.462
1928.900.390.442
1938.800.390.442
1948.700.380.432
1958.700.380.432
1969.100.370.462
1979.500.370.492
19810.300.360.542
1991100.360.592
20011.68.40.350.632
20112.100.350.672
20212.600.350.72
20312.900.340.722
20413.100.340.732
20513.200.330.753
20613.400.330.753
20713.500.320.763
20813.700.320.774
20913.300.310.744
21013.300.310.744
21113.300.30.734
21213.400.30.744
21313.600.290.754
21414.100.290.784
21514.500.280.814
21614.700.280.824
21714.900.270.835
2181500.270.835
2191500.270.835
22015.200.260.845
22115.300.260.846
22215.200.250.836
22314.900.250.86
22414.500.240.777
22514.200.240.758
2261400.240.739
2271400.230.739
22813.900.230.729
22913.700.230.79
23013.300.220.689
2311300.220.659
23212.800.220.649
23312.700.220.639
23412.800.210.6310
2351300.210.6410
23613.200.210.6411
23713.200.210.6411
23813.400.20.6511
23913.500.20.6511
24013.400.20.6411
24113.200.20.6311
24212.600.20.5911
24312.100.190.5511
24411.600.190.5212
24511.700.190.5212
24611.900.190.5312
24711.800.190.5213
24811.600.190.5113
24911.600.180.513
25011.600.180.513
25111.500.180.4913
25211.200.180.4713
25311.200.180.4613
25411.200.180.4613
25511.100.180.4513
25610.700.180.4313
25710.300.170.414
2589.700.170.3614
2599.400.170.3414
2608.800.170.3115
2618.200.170.2715
2627.600.170.2416
2637.200.170.2216
2646.400.170.1716
2656.100.170.1616
2666.400.170.1716
2676.700.170.1816
2687.100.170.216
2697.500.170.2216
2707.900.170.2416
2718.200.170.2516
2728.300.160.2516
273800.160.2416
274800.160.2416
2757.700.160.2216
2766.600.160.1716
27750.50.160.0916
2782.800.16016
2791.900.16016
280200.16016
2812.700.16016
2823.100.16016
2833.200.160.0116
2842.30.80.16016
2851.500.16016
2860.600.16016
287-0.100.16016
2880.20.80.16016
289-0.40.50.16016
290-0.800.16016
291-2.30.50.16016
292-3.620.30.16016
293-4.100.16016
294-4.200.16016
295-3.600.16016
296-2.600.16016
297-1.300.16016
298-0.700.16016
299000.16016
3000.700.16016
3011.300.16016
3021.700.16016
3032.300.16016
3042.900.17016
3053.200.170.0116
3063.800.170.0316
3074.500.170.0516
3084.900.170.0616
3094.700.170.0516
3103.710.20.170.0216
3111.56.40.17016
312-0.330.18016
313-1.800.18016
314-2.700.18016
315-300.18016
316-2.700.18016
317-200.18016
318-1.200.18016
319-0.400.18016
320-0.400.18016
321-1.300.18016
322-200.18016
323-1.800.18016
324-1.300.18016
325-0.800.18016
326-0.900.18016
327-0.800.18016
328-0.500.18016
329000.18016
3300.100.17016
331-0.100.17016
332-0.300.17016
333-0.600.17016
334-1.100.17016
335-2.100.17016
336-2.500.17016
337-2.600.17016
338-2.500.17016
339-2.600.17016
340-300.17016
341-3.200.17016
342-3.100.17016
343-3.88.90.17016
344-4.100.17016
345-4.600.17016
346-4.100.17016
347-3.600.17016
348-2.700.17016
349-2.100.17016
350-1.300.17016
351-100.17016
352-0.300.17016
353000.17016
354-0.62.80.17016
355-0.500.17016
356-1.119.30.17016
357-1.500.17016
358-1.800.17016
359-200.17016
360-3.100.17016
361-55.10.17016
362-7.200.17016
363-8.300.17016
364-8.800.170
1971----->-6.800.0500
2-6.36.40.0500
3-77.60.0500
4-7.500.0500
5-8.500.0500
6-9.500.0500
7-1000.0500
8-9.77.60.0500
9-8.900.0500
10-8.200.0500
11-7.300.0500
12-6.65.60.0500
13-6.93.80.0500
14-7.600.0500
15-8.100.0500
16-7.400.0500
17-5.800.0500
18-4.200.0500
19-2.400.0500
20-0.800.0500
21-0.100.0500
22000.0500
23-0.100.0500
24-0.500.0500
25-0.800.0500
26-0.900.0500
27-0.900.0500
28-0.500.0500
29-0.200.0500
300.400.0500
311.500.0500
32200.0500
331.900.0500
340.600.0500
35-100.0500
36-1.900.0500
37-30.30.0500
38-3.900.0500
39-3.800.0500
40-2.900.0500
41-2.500.0500
42-1.700.0500
43-0.800.0500
440.100.0500
450.900.0500
461.400.0500
470.600.0500
48-0.23.80.0500
49-1.700.0500
50-2.900.0500
51-500.0500
52-5.900.0500
53-6.200.0500
54-6.58.90.0500
55-6.900.0500
56-6.800.0500
57-7.600.0500
58-9.200.0500
59-10.80.50.0500
60-12.51.30.0500
61-1300.0500
62-12.500.0500
63-11.400.0500
64-1100.0500
65-10.400.0500
66-8.300.0500
67-6.900.0500
68-5.300.0500
69-3.700.0500
70-2.500.0500
71-200.0500
72-2.68.90.0500
73-3.900.0500
74-4.700.0500
75-500.0500
76-5.200.0500
77-4.900.0500
78-400.0500
79-3.200.0500
80-2.500.0500
81-1.600.0500
82-0.700.0500
83-0.400.0500
84-0.200.0500
85000.0500
86-0.500.0500
87-0.600.0500
88-0.300.0500
890.500.0500
900.200.0500
91-0.300.0500
92-0.300.0500
93-0.600.0500
94-0.700.0500
95-0.200.0500
96000.0500
97-0.400.0500
98-100.0500
99-100.0500
100-100.0500
101-0.600.0500
102-0.300.0500
1030.300.0500
1040.21.30.0500
10501.80.0500
106-0.100.0500
107-0.32.50.0500
108-2.412.70.0500
109-4.17.60.0500
110-4.100.0500
111-500.0500
112-5.900.0500
113-5.700.0500
114-5.900.0500
115-6.46.90.0500
116-6.719.10.0500
117-6.610.0500
118-5.516.80.0500
119-4.400.0500
120-3.400.0500
121-2.500.0500
122-1.800.0500
123-1.900.0500
124-2.218.50.0500
125-2.100.0500
126-2.138.10.0500
127-2.312.70.0500
128-3.17.60.0500
129-2.95.10.0500
130-2.410.20.0500
131-1.95.10.0500
132-1.48.90.0500
133-0.900.0500
134000.0500
1350.900.0500
1361.400.0500
137100.0500
1380.200.0500
139-0.100.0500
140-0.200.0500
141-0.92.80.0500
142-1.613.20.0500
143-1.900.0500
144-1.600.0500
145-1.300.0500
146-0.800.0500
147-0.25.60.0500
1480.417.30.0500
149100.0500
1501.67.60.0500
1512.100.0500
1522.600.0500
1533.100.0500
1543.56.40.0500
1553.900.0500
1564.300.0500
1574.600.300
158500.3100
1595.400.330.130
1605.800.340.170
1616.200.360.210
1626.620.370.250
163700.390.290
1647.400.410.330
1657.700.430.360
1668.100.440.390
1678.500.460.420
1688.900.480.460
1699.200.470.480
1709.400.440.490
1719.500.410.50
17210.100.390.550
17310.300.370.560
17410.800.350.60
17510.900.340.610
17610.700.320.590
17710.600.310.580
1789.800.30.530
1799.200.290.480
1808.500.280.420
181800.270.380
1827.800.270.370
1837.800.260.371
184800.260.381
1858.500.250.421
1868.800.250.441
1879.100.240.461
1889.500.240.492
1899.600.230.52
1909.600.230.52
1919.800.230.512
1921000.220.532
19310.400.220.562
19410.900.210.592
19511.500.210.632
19612.100.20.682
19712.800.20.733
19813.100.20.753
1991300.190.743
20012.712.70.190.724
20112.210.20.190.674
20211.77.90.20.644
20311.500.20.624
20411.200.20.64
20511.15.30.190.594
20611.200.190.64
20711.500.190.614
20811.900.190.645
20912.400.190.685
21012.700.180.75
21113.200.180.736
21213.300.180.746
21313.312.70.170.736
21413.200.180.726
21513.215.50.170.726
21612.911.40.180.696
21712.400.190.666
21812.11.30.180.637
21911.700.180.67
22011.700.180.67
22111.723.90.180.68
2221200.190.618
22312.300.190.638
22412.700.190.668
22512.900.190.678
22612.900.180.668
22712.900.180.668
22812.600.180.648
22912.600.180.639
23012.400.170.629
23112.400.170.619
23212.100.170.5910
23311.900.170.5710
23411.800.170.5610
23511.600.160.5410
23611.600.160.5410
23711.300.160.5210
2381100.160.510
23910.712.70.160.4810
24010.700.160.4710
24110.52.50.160.4611
24210.500.160.4511
24310.300.160.4411
24410.400.160.4412
24510.500.160.4512
24610.300.160.4312
24710.300.160.4312
24810.500.160.4412
24910.300.150.4212
2509.73.30.150.3912
25110.100.150.412
25210.100.150.412
25310.400.150.4112
25410.500.150.4212
25511.100.150.4513
25611.600.150.4813
2571200.150.4913
25812.500.150.5113
25912.600.140.5114
26012.200.140.4914
26111.100.140.4314
26210.100.140.3714
2639.600.140.3414
264900.140.3115
265800.140.2615
2667.400.140.2215
2677.100.140.2115
2686.700.140.1815
2695.800.140.1415
2704.400.140.0715
2713.100.140.0115
2722.500.14015
2731.60.80.14015
274000.14015
275-0.200.14015
2760.100.14015
2770.500.14015
2781.200.14015
279200.14015
2802.800.13015
2813.800.130.0315
2824.300.130.0615
2835.300.130.115
2846.300.130.1415
2856.800.130.1615
2867.700.130.215
2878.400.130.2215
2888.100.130.2115
28967.40.130.1215
2902.94.10.13015
2910.335.60.14015
292-0.900.16015
293-1.800.16015
294-2.700.15015
295-2.500.15015
296-2.200.15015
297-2.510.15015
298-3.33.80.15015
299-2.900.15015
300-2.200.15015
301-2.55.60.15015
302-4.212.70.15015
303-500.15015
304-5.73.80.15015
305-5.800.15015
306-500.15015
307-3.200.15015
308-1.700.15015
309-0.500.15015
3100.900.15015
3111.600.16015
3121.600.16015
3132.100.16015
3142.500.17015
3152.700.17015
3162.117.80.17015
3170.73.80.18015
318-1.13.30.18015
319-320.18015
320-4.500.18015
321-5.500.18015
322-6.100.18015
323-6.92.50.18015
324-6.700.18015
325-6.200.18015
326-5.47.60.18015
327-4.600.18015
328-3.200.18015
329-2.200.18015
330-1.500.18015
331-1.400.18015
332-1.55.30.18015
333-2.200.18015
334-2.600.18015
335-4.11.30.18015
336-4.600.18015
337-62.50.18015
338-7.517.80.18015
339-8.100.18015
340-7.600.18015
341-8.7140.18015
342-10.300.18015
343-9.800.18015
344-9.700.18015
345-10.17.90.18015
346-10.100.18015
347-10.713.70.18015
348-10.6130.18015
349-10.700.18015
350-10.800.18015
351-9.400.18015
352-7.700.19015
353-6.400.19015
354-5.400.19015
355-4.900.19015
356-4.230.50.19015
357-4.527.90.19015
358-4.912.70.19015
359-5.417.80.19015
360-6.725.40.19015
361-87.60.19015
362-9.40.30.19015
363-10.600.19015
364-11.12.30.190
1973----->-1000.1300
2-1000.1300
3-9.900.1300
4-11.16.60.1300
5-11.700.1300
6-11.800.1300
7-11.600.1300
8-1100.1300
9-10.213.70.1300
10-9.700.1300
11-9.111.90.1300
12-7.500.1300
13-6.100.1300
14-4.500.1300
15-3.100.1300
16-1.900.1300
17-2.418.30.1300
18-314.20.1300
19-4.440.60.1300
20-6.100.1300
21-6.611.70.1300
22-8.200.1300
23-8.400.1300
24-7.500.1300
25-6.800.1300
26-7330.1300
27-6.700.1300
28-5.400.1300
29-4.800.1300
30-4.81.30.1300
31-51.30.1300
32-5.200.1300
33-4.500.1300
34-4.52.50.1300
35-4.96.10.1300
36-5.300.1300
37-5.300.1300
38-5.51.80.1300
39-5.400.1300
40-5.700.1300
41-5.81.50.1300
42-6.19.10.1300
43-6.51.30.1300
44-6.90.80.1300
45-6.800.1300
46-7.110.70.1300
47-7.700.1300
48-7.400.1300
49-6.600.1300
50-6.200.1300
51-5.900.1300
52-5.600.1300
53-5.71.30.1300
54-5.200.1300
55-5.100.1300
56-5.400.1300
57-5.100.1300
58-5.300.1300
59-5.316.80.1300
60-500.1300
61-5.300.1300
62-5.700.1300
63-6.210.70.1300
64-700.1300
65-7.200.1300
66-7.910.20.1300
67-8.24.10.1300
68-8.75.10.1300
69-8.100.1300
70-7.79.40.1300
71-8.34.60.1300
72-8.47.60.1300
73-8.99.40.1300
74-8.700.1300
75-7.700.1300
76-700.1300
77-7.26.10.1300
78-6.900.1300
79-6.535.60.1300
80-7.300.1300
81-814.70.1300
82-8.46.60.1300
83-8.400.1300
84-7.500.1300
85-6.520.1300
86-6.36.10.1300
87-6.67.10.1300
88-7.38.60.1300
89-7.42.50.1300
90-7.410.90.1300
91-80.30.1300
92-9.100.1300
93-8.93.30.1300
94-8.71.30.1300
95-7.900.1300
96-6.500.1300
97-5.700.1300
98-5.100.1300
99-4.100.1300
100-3.200.1300
101-2.81.30.1300
102-2.200.1300
103-2.12.30.1300
104-300.1300
105-3.53.60.1300
106-4.112.20.1300
107-3.700.1300
108-4.39.90.1300
109-4.700.1300
110-5.100.1300
111-5.910.1300
112-5.81.50.1300
113-4.700.1300
114-3.800.1300
115-2.800.1300
116-1.500.1300
117-0.500.1300
1180.300.1300
1190.800.1300
1200.59.40.1300
121-0.600.1300
122-0.800.1300
123-0.900.1300
124-1.400.1300
125-2.200.1300
126-2.73.80.1300
127-2.100.1300
128-1.400.1300
129-0.400.1300
1300.800.1300
1312.100.1300
1323.200.1300
1334.300.1300
13455.10.1300
1355.300.1300
1365.400.1300
1375.700.1300
1386.100.300
1396.400.320.110
1406.400.330.160
1415.96.90.350.20
1425.400.390.180
1435.17.40.40.160
144500.440.150
1454.800.440.140
1463.900.450.070
1473.700.460.050
1484.400.470.110
1495.200.480.160
1505.900.490.220
1516.300.50.250
1526.55.30.510.270
15361.50.530.230
1545.800.550.210
1555.600.560.21
1565.700.570.211
1576.100.580.241
1586.700.590.281
1597.500.60.341
1608.300.620.411
161900.630.461
1629.400.650.491
1639.200.670.481
1649.100.650.471
1658.410.630.411
1667.100.620.311
1676.100.610.241
1685.200.60.171
1694.900.590.141
170500.580.151
1715.100.570.161
1725.800.570.211
1736.800.560.291
1746.900.550.31
1757.900.540.371
1768.900.530.451
1779.900.520.531
1781100.510.611
17911.412.70.50.651
18011.900.50.681
18112.200.490.71
18212.100.480.691
1831200.470.681
1841200.460.691
18512.400.450.712
1861300.450.762
18713.500.440.83
18813.700.430.813
18913.700.420.813
19013.600.410.83
1911400.40.833
19214.12.30.40.833
1931400.390.833
19413.500.380.793
1951300.380.753
19612.500.370.714
19712.100.370.685
19811.800.360.655
19911.500.360.635
20011.200.350.65
20110.800.350.585
20210.300.340.545
2039.800.340.55
2049.600.340.486
2059.700.340.496
20610.100.330.516
20710.700.330.567
20811.300.330.67
20911.710.320.637
21012.100.320.657
21112.40.80.320.677
21212.70.50.310.697
21312.76.10.310.697
21412.50.80.310.677
21512.42.50.310.667
21611.710.90.310.618
21711.100.310.578
21810.57.40.310.529
2199.900.310.489
2209.900.310.489
22110.300.310.59
22210.600.310.529
22310.800.30.539
22411.100.30.559
22511.600.30.589
22612.100.30.619
22712.600.290.649
22813.100.290.6710
22913.300.290.6810
23013.300.280.6810
23113.300.280.6711
23213.100.280.6511
23312.800.280.6311
23412.300.270.5911
23511.900.270.5711
2361100.270.5111
23710.400.270.4711
2389.700.270.4211
2398.25.10.260.3212
2407.300.270.2613
241700.260.2513
2427.200.260.2613
2437.600.260.2814
2447.500.260.2714
2457.700.260.2814
2468.300.260.3114
2478.600.260.3314
2488.700.260.3314
2498.800.260.3414
2509.500.260.3814
2519.800.250.3914
2529.500.250.3714
2539.100.250.3414
2548.700.250.3214
2558.500.250.314
2568.600.250.3114
2578.700.250.3114
2588.800.250.3114
259900.250.3214
2609.100.240.3314
2619.600.240.3514
26210.200.240.3714
26310.900.240.4115
26410.800.240.415
26510.700.240.3915
2668.800.240.2915
2677.500.240.2215
268600.240.1515
2696.100.230.1515
2706.300.230.1615
2716.700.230.1815
2726.800.230.1815
2737.200.230.215
2747.900.230.2315
2757.900.230.2315
2768.600.230.2615
2778.700.230.2615
2788.400.230.2515
2798.100.230.2315
2807.800.230.2115
28171.80.230.1715
2825.21.80.230.0915
2833.300.230.0115
2842.300.23015
2851.900.23015
2862.400.23015
2873.300.220.0115
2884.400.220.0615
2895.100.220.0815
2905.800.220.1115
2916.300.220.1315
2926.600.220.1415
2936.900.220.1515
2947.200.220.1615
2957.200.220.1615
2966.500.220.1316
2975.800.220.116
2985.400.220.0916
2994.800.220.0716
3004.700.220.0616
301500.220.0716
3024.500.220.0516
3034.400.220.0516
3044.400.220.0516
3054.400.220.0516
3064.100.220.0416
3072.900.22016
3081.700.21016
309100.21016
3100.700.21016
3110.300.21016
3120.400.21016
313000.21016
314-0.200.21016
315-0.30.30.21016
316-1.216.50.21016
317-1.900.21016
318-2.800.21016
319-300.21016
320-3.200.21016
321-3.300.21016
322-3.822.90.21016
323-4.800.21016
324-5.300.21016
325-5.900.21016
326-6.600.21016
327-7.300.21016
328-7.700.21016
329-8.200.21016
330-8.910.40.21016
331-8.800.21016
332-7.400.21016
333-5.900.21016
334-4.700.21016
335-4.617.80.21016
336-500.21016
337-4.400.21016
338-4.500.21016
339-4.600.21016
340-500.21016
341-4.300.21016
342-4.500.21016
343-3.400.21016
344-2.500.21016
345-2.400.21016
346-2.100.21016
347-2.400.21016
348-2.800.21016
349-2.600.21016
350-200.21016
351-1.400.21016
352-1.800.21016
353-1.500.21016
354-1.300.21016
355-1.700.21016
356-2.610.40.21016
357-3.300.21016
358-4.211.40.21016
359-500.21016
360-5.400.21016
361-5.51.30.21016
362-5.32.30.21016
363-4.72.80.21016
364-4.400.210
1977----->-9.700.0700
2-10.100.0700
3-10.550.80.0700
4-10.600.0700
5-10.600.0700
6-10.638.10.0700
7-10.400.0700
8-10.100.0700
9-9.300.0700
10-8.700.0700
11-8.100.0700
12-7.800.0700
13-7.600.0700
14-7.500.0700
15-6.800.0700
16-6.100.0700
17-4.900.0700
18-3.500.0700
19-2.300.0700
20-1.200.0700
21-1.23.30.0700
22-1.70.30.0700
23-2.300.0700
24-2.800.0700
25-3.20.80.0700
26-400.0700
27-4.600.0700
28-500.0700
29-5.100.0700
30-4.300.0700
31-4.200.0700
32-4.700.0700
33-4.700.0700
34-4.900.0700
35-4.900.0700
36-4.700.0700
37-4.400.0700
38-400.0700
39-400.0700
40-4.500.0700
41-4.200.0700
42-3.700.0700
43-2.900.0700
44-2.100.0700
45-1.300.0700
46-0.600.0700
47000.0700
480.700.0700
49100.0700
501.100.0700
511.100.0700
5216.40.0700
53-0.444.50.0700
54-2.300.0700
55-4.200.0700
56-6.200.0700
57-7.300.0700
58-7.400.0700
59-7.500.0700
60-8.300.0700
61-9.45.30.0700
62-1000.0700
63-10.100.0700
64-9.500.0700
65-8.800.0700
66-7.700.0700
67-7.100.0700
68-6.800.0700
69-7.100.0700
70-6.900.0700
71-6.200.0700
72-6.800.0700
73-800.0700
74-8.800.0700
75-9.200.0700
76-9.75.60.0700
77-10.100.0700
78-9.700.0700
79-9.100.0700
80-7.800.0700
81-6.400.0700
82-5.400.0700
83-5.200.0700
84-5.800.0700
85-600.0700
86-5.700.0700
87-600.0700
88-7.600.0700
89-8.517.80.0700
90-9.22.50.0700
91-9.66.10.0700
92-10.15.80.0700
93-9.900.0700
94-8.500.0700
95-7.100.0700
96-5.400.0700
97-3.700.0700
98-2.100.0700
99-1.600.0700
100-1.600.0700
101-1.600.0700
102-1.600.0700
103-1.400.0700
104-1.420.0700
105-100.0700
106-0.400.0700
1070.100.0700
1080.100.0700
109-0.500.0700
110-0.600.0700
111-0.300.0700
112000.0700
1130.400.0700
1140.900.0700
1151.600.0700
1162.100.0700
1172.600.0700
1182.700.0700
119300.0700
1202.700.0700
1211.800.0700
1221.100.0700
1230.400.0700
1240.200.0700
125-0.500.0700
126-1.800.0700
127-3.44.10.0700
128-4.48.90.0700
129-5.38.90.0700
130-5.800.0700
131-600.0700
132-68.40.0700
133-5.95.10.0700
134-5.400.0700
135-4.86.10.0700
136-4.800.0700
137-5.35.10.0700
138-5.93.30.0700
139-5.47.10.0700
140-4.700.0700
141-3.800.0700
142-2.800.0700
143-2.100.0700
144-2.126.40.0700
145-2.200.0700
146-2.100.0700
147-1.900.0700
148-1.300.0700
149-0.500.0700
1500.700.0700
1511.800.0700
1522.700.0700
153400.0700
1545.300.0700
1556.100.0700
1567.300.0700
157800.300
1588.300.320.140
1598.114.20.340.21
1607.430.420.261
1616.500.440.271
1625.800.430.211
1635.400.390.191
1645.500.370.191
1655.400.340.181
1665.500.330.191
1676.100.310.241
1686.600.290.281
1696.800.280.291
1706.62.50.270.281
1716.330.260.251
1726.400.250.261
1736.900.240.31
1747.700.240.361
1758.500.230.421
17692.30.220.461
1779.52.30.210.51
17810.11.30.210.541
17910.62.30.20.581
18010.900.190.61
18111.300.190.631
18211.400.180.641
18311.200.170.621
1841100.170.611
18510.600.160.581
18610.100.160.541
1879.900.150.521
1889.900.150.521
18910.100.150.542
19010.300.140.552
19110.300.140.552
19210.600.140.572
19310.800.130.593
19411.200.130.613
19511.400.130.633
19611.700.120.653
19711.800.120.663
19812.10.80.120.683
19912.300.120.693
20012.400.110.73
20112.200.110.684
20211.93.30.110.654
20311.700.110.645
20411.500.110.625
20511.200.10.65
20611.100.10.595
20711.100.10.585
20811.200.10.595
20911.400.10.615
21011.900.090.645
21112.400.090.675
21212.900.090.716
21313.500.090.746
21413.800.080.766
215140.30.080.777
21613.900.080.767
21713.600.080.747
21813.400.070.727
2191300.070.697
22012.500.070.667
22112.300.070.647
22212.200.070.638
22312.200.070.628
22412.400.060.639
22512.300.060.639
22612.300.060.629
22712.300.060.629
2281200.060.69
22911.611.90.060.569
23011.414.50.060.559
23111.200.070.539
23211.100.070.539
23311.300.070.5310
23411.500.070.5510
23511.600.070.5510
23611.530.070.5411
23711.400.070.5311
23810.700.070.4811
23910.100.070.4411
24010.100.060.4411
24110.100.060.4311
24210.400.060.4511
24310.300.060.4411
24410.400.060.4411
24510.400.060.4411
24610.200.060.4312
24710.400.060.4412
24810.600.060.4412
24910.800.060.4512
25010.800.060.4513
2511100.060.4613
2521100.060.4513
25310.900.050.4513
25410.700.050.4313
25510.200.050.413
2569.800.050.3713
2579.500.050.3513
2588.900.050.3214
2597.900.050.2614
2606.500.050.1914
2615.900.050.1514
2625.200.050.1114
263400.050.0514
2643.500.050.0314
265300.05014
2662.200.05014
2671.900.05014
2682.900.05014
2693.400.050.0214
2704.300.050.0614
2715.200.050.114
2725.600.050.1214
2735.400.050.1114
2745.800.050.1314
2756.200.050.1514
2766.200.050.1514
2776.200.050.1514
2786.100.050.1414
2795.43.30.050.1114
2805.100.050.0914
2815.100.050.0915
2824.800.050.0815
2834.900.050.0815
2845.100.050.0915
2855.200.050.0915
2865.400.050.115
2875.700.050.1115
288600.050.1215
2896.300.050.1315
2906.200.050.1315
291600.050.1215
2925.400.050.0915
2934.70.80.050.0715
294400.050.0415
2953.300.050.0115
2963.300.050.0115
2973.600.050.0215
2984.200.050.0415
2994.800.050.0715
3004.600.050.0615
3013.800.050.0315
302300.05015
3032.300.05015
3042.200.05015
3052.500.05015
3062.700.05015
3072.400.05015
3082.700.05015
3092.300.05015
3101.215.20.05015
3110.700.05015
3120.800.05015
3130.800.05015
3140.800.05015
3150.900.05015
3161.400.05015
3171.500.05015
3181.700.05015
319200.05015
3202.300.05015
3212.500.05015
3221.700.05015
3230.200.05015
324-1.400.05015
325-2.200.05015
326-2.82.50.05015
327-300.05015
328-300.05015
329-200.05015
330-0.900.05015
331000.05015
3320.700.05015
3331.600.05015
3341.800.05015
335200.05015
3362.200.05015
3372.400.05015
3382.500.05015
3392.400.05015
3402.400.05015
3412.400.05015
3422.400.05015
3432.300.05015
3442.500.05015
3452.600.05015
3461.800.05015
3471.400.05015
3480.900.05015
349-0.115.20.05015
350-1.500.05015
351-2.625.40.05015
352-3.900.05015
353-5.400.05015
354-6.300.05015
355-6.700.05015
356-719.60.05015
357-700.05015
358-7.110.70.05015
359-6.500.05015
360-5.600.05015
361-4.89.40.05015
362-4.32.30.05015
363-4.200.05015
364-400.050
1978----->-5.300.0500
2-5.100.0500
3-500.0500
4-5.200.0500
5-5.76.90.0500
6-5.611.20.0500
7-5.100.0500
8-4.600.0500
9-4.410.0500
10-4.76.10.0500
11-5.200.0500
12-5.100.0500
13-500.0500
14-4.60.80.0500
15-5.221.10.0500
16-5.53.80.0500
17-5.639.10.0500
18-5.700.0500
19-5.92.50.0500
20-6.200.0500
21-6.600.0500
22-6.800.0500
23-7.500.0500
24-7.500.0500
25-7.200.0500
26-6.600.0500
27-600.0500
28-5.200.0500
29-4.600.0500
30-4.100.0500
31-3.900.0500
32-3.900.0500
33-3.900.0500
34-3.600.0500
35-3.400.0500
36-3.82.80.0500
37-4.38.40.0500
38-4.61.80.0500
39-5.219.60.0500
40-5.69.40.0500
41-600.0500
42-6.800.0500
43-7.500.0500
44-8.400.0500
45-9.66.60.0500
46-10.100.0500
47-10.700.0500
48-1100.0500
49-10.100.0500
50-8.700.0500
51-7.600.0500
52-6.600.0500
53-600.0500
54-4.800.0500
55-4.600.0500
56-3.800.0500
57-3.600.0500
58-3.600.0500
59-3.800.0500
60-3.86.40.0500
61-3.800.0500
62-4.46.90.0500
63-4.97.60.0500
64-5.4140.0500
65-5.700.0500
66-5.500.0500
67-500.0500
68-4.78.90.0500
69-4.71.50.0500
70-5.31.30.0500
71-6.31.50.0500
72-6.852.10.0500
73-7.200.0500
74-700.0500
75-6.100.0500
76-5.100.0500
77-3.800.0500
78-2.800.0500
79-2.300.0500
80-1.930.0500
81-200.0500
82-200.0500
83-2.400.0500
84-2.200.0500
85-1.700.0500
86-1.400.0500
87-0.800.0500
88-0.300.0500
89-0.421.30.0500
90-119.80.0500
91-2.23.30.0500
92-3.200.0500
93-4.400.0500
94-5.400.0500
95-6.200.0500
96-6.400.0500
97-6.800.0500
98-758.40.0500
99-6.33.80.0500
100-4.700.0500
101-3.300.0500
102-1.900.0500
103-1.300.0500
104-1.400.0500
105-200.0500
106-3.815.20.0500
107-500.0500
108-5.100.0500
109-5.200.0500
110-5.600.0500
111-5.900.0500
112-5.700.0500
113-500.0500
114-4.100.0500
115-3.31.30.0500
116-3.38.90.0500
117-2.65.10.0500
118-2.400.0500
119-2.66.40.0500
120-300.0500
121-3.61.30.0500
122-3.300.0500
123-2.900.0500
124-2.800.0500
125-2.400.0500
126-2.600.0500
127-2.400.0500
128-1.800.0500
129-1.100.0500
130-0.500.0500
131-0.700.0500
132-0.700.0500
133000.0500
1340.500.0500
135100.0500
1360.300.0500
1370.700.0500
1380.600.0500
1391.700.0500
1402.200.0500
1412.700.0500
1423.100.0500
1433.400.0500
144300.0500
1452.100.0500
1461.900.300
1471.900.3100
1482.100.3100
1492.500.3200
1502.900.3200
1512.300.3300
1522.600.3400
1532.900.3400
1543.300.350.020
1553.600.360.040
156400.370.080
1575.300.380.180
1586.300.390.250
1597.100.410.320
1607.700.420.360
1617.700.440.360
1627.700.460.360
1637.800.470.370
1647.700.490.360
1657.200.510.320
1666.600.520.280
1676.300.530.250
168600.550.230
169600.560.230
170600.570.230
1716.300.580.260
1726.800.60.290
1737.300.60.330
1747.400.580.341
1757.600.560.351
1767.500.550.351
1777.300.530.331
1786.800.520.291
1796.700.510.281
1806.200.50.241
1816.300.490.251
1826.400.490.261
1836.300.480.251
184600.470.231
1856.200.460.251
1866.200.460.251
1876.600.450.281
188700.440.31
1897.600.440.351
1908.200.430.391
1918.800.420.441
1929.100.420.461
1939.400.410.481
19410.100.40.531
19510.700.40.571
19611.200.390.611
19711.700.380.651
1981200.370.671
19912.200.370.681
20012.400.360.71
20112.400.350.71
20212.400.350.691
20312.500.340.72
20412.500.330.72
20512.800.330.713
20612.900.320.723
20712.400.320.683
20811.917.80.310.643
20912.139.40.320.663
21012.600.340.693
21113.300.340.733
2121400.330.783
21314.800.330.833
21415.600.320.893
21515.900.310.914
21615.800.310.94
21715.600.30.884
21815.500.290.874
21915.400.290.855
22015.100.280.835
22114.800.280.815
22214.600.270.796
22314.200.270.767
22413.800.260.738
22513.200.260.698
22612.600.260.658
22712.200.260.618
22811.700.250.578
22910.900.250.528
2309.900.250.458
2319.300.250.418
2328.900.240.389
2338.700.240.379
2348.500.240.3510
2358.400.240.3410
2368.300.240.3311
2379.200.240.3911
2389.200.240.3911
2399.500.230.411
2409.800.230.4211
24110.200.230.4411
24210.600.230.4611
24310.700.230.4711
24410.800.230.4711
24510.800.230.4611
24610.700.220.4611
24710.700.220.4511
24810.136.10.220.4111
2499.1140.240.3511
2508.100.250.2911
2517.200.250.2412
2526.600.240.212
253600.240.1712
2545.600.240.1412
2555.300.240.1312
256500.240.1112
2574.212.40.240.0712
2583.76.40.250.0412
2593.800.250.0412
2603.800.250.0412
2612.72.30.25012
2621.500.25012
2631.100.25012
2641.500.25012
2652.400.25012
2663.300.250.0112
2674.100.250.0612
2685.200.250.1112
2696.300.250.1612
2707.200.250.2112
2718.100.250.2512
2728.700.240.2712
2739.100.240.2912
2749.300.240.312
2759.500.240.312
2769.500.240.312
2779.400.240.2912
2789.200.240.2812
279900.240.2712
280900.240.2612
2818.600.230.2512
282800.230.2212
2837.400.230.1912
2847.100.230.1712
2857.100.230.1712
2867.200.230.1812
2877.200.230.1712
2887.500.230.1812
2897.800.230.1913
290800.230.213
2917.700.230.1913
2927.200.230.1613
2936.600.230.1413
2945.700.220.113
2954.600.220.0613
296400.220.0413
2973.600.220.0213
2983.500.220.0213
2993.900.220.0313
3004.500.220.0513
301500.220.0713
3025.100.220.0813
3034.516.50.220.0513
3043.800.230.0313
3052.76.40.23013
3061.45.30.23013
3070.600.23013
3080.300.23013
3090.600.23013
3101.100.23013
3111.900.23013
3122.900.23013
3134.100.230.0313
3143.800.230.0213
3152.41.30.23013
316-0.12.50.23013
317-2.52.50.23013
318-4.43.30.23013
319-5.700.23013
320-6.32.80.23013
321-700.23013
322-700.23013
323-6.800.23013
324-6.200.23013
325-5.500.23013
326-6.37.10.23013
327-6.800.23013
328-7.50.50.23013
329-7.700.23013
330-7.500.23013
331-7.100.23013
332-6.300.23013
333-5.200.23013
334-45.60.23013
335-3.755.90.23013
336-4.220.30.23013
337-4.300.23013
338-4.200.23013
339-4.500.23013
340-6.200.23013
341-8.100.23013
342-9.500.23013
343-9.600.23013
344-8.900.23013
345-800.23013
346-6.900.24013
347-5.700.24013
348-4.700.24013
349-3.800.24013
350-3.200.24013
351-3.643.20.24013
352-4.2109.20.24013
353-5.5116.80.24013
354-6.100.24013
355-5.900.24013
356-5.600.24013
357-5.200.24013
358-4.800.24013
359-4.300.24013
360-3.900.24013
361-3.600.24013
362-3.300.24013
363-3.200.24013
364-3.100.24013
test graphs
temp
ppt
5_low
Gr
#cells
5_high
soil m
yrShCp_crnmodel
19561.57251.08
19571.73557.17
19581.47744.32
19591.44249.68
19600.93723.33
19610.96350.08
19621.45953.53
19631.65544.36
19641.71547.53
19651.51341.51
19661.25757.53
19671.66260.33
19681.77956.75
19692.00359.7
19701.65149.64
19711.86957.77
19721.79860.56
19731.84762.78
19741.58660.95
19751.49551.11
19761.7446
19772.25855.25
19781.84453.43
19791.69856.01
sheepcamp 56-79 (Gr, GrW, GrT)
19561956195619561957195719571957195819581958195819591959195919591960196019601960196119621963196419651966196719681969197019711972197319741975197619771978avg
pptavg t5 yr ppt5yr t
#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrTTran1959TemPrecsmDepsnowGrGrwGrTTran1960TemPrecsmDepsnowGrGrwGrTTran1961TemPrecsmDepsnowGrGrwGrTTran1962TemPrecsmDepsnowGrGrwGrTTranyearTemPrecsmDepsnowGrGrWGrTyearTemPrecsmDepsnowGrGrWGrTTemPrecsmDepsnowGrGrWGrT#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrTTran#tTemPrecsmDepsnowGrGrwGrT1.1335069444-5.8666666667
1-5.500.22030000001-5.300.2902.300001-4.400.06042.100001-5.400.103.300001-14.22.50.07020.200001-3.200.05034.100001-0.100.05050.800001-4.200.11000001-4.200.18018.20001-8.312.70.06066.10001-6.85.10.140116.900001-3.600.010234.400001-5.300.39071.900001-0.200.07052.200001-6.800.17038.900001-6.800.0508800001-3.900.190215.400001-1000.130155.500001-11.1130.21096.100001-7.400.11070.200001-9.100.08025.600001-9.700.070000001-5.300.05082.600020.2602430556-6.0958333333
2-5.900.22030000002-4.700.2902.300002-4.600.06042.100002-5.200.103.300002-15.100.07022.700002-3.900.05034.100002-0.500.05050.800002-3.900.11000002-4.600.18018.20002-8.400.06078.80002-7.85.10.14012200002-3.900.010234.400002-5.600.39071.900002-0.500.07052.200002-6.700.17038.900002-6.36.40.0508800002-3.800.190215.400002-1000.130155.500002-12.310.210109.100002-7.600.11070.200002-9.800.08025.600002-10.100.070000002-5.100.05082.600032.5255208333-6.25416666670.8927083333-6.2141666667
3-5.600.22030000003-4.500.2902.300003-5.120.06042.100003-6.100.103.300003-15.54.60.07022.700003-4.100.05034.100003-0.600.05050.800003-420.11000003-4.600.18018.20003-8.600.06078.80003-8.400.140127.100003-3.900.010234.400003-600.39071.900003-0.400.07052.200003-7.100.17038.900003-77.60.05094.400003-400.190215.400003-9.900.130155.500003-12.300.210110.100003-7.500.11070.200003-9.400.08025.600003-10.550.80.070000003-500.05082.600040.1305555556-6.38751.2649305556-6.315
4-5.400.22030000004-4.800.2902.300004-5.600.06044.100004-6.900.103.300004-16.52.50.07027.300004-4.200.05034.100004-0.700.05050.800004-400.11020004-4.400.18018.20004-8.500.06078.80004-8.500.140127.100004-3.700.010234.400004-6.300.39071.9000040.200.07052.200004-7.300.17038.900004-7.500.05010200004-3.400.190215.400004-11.16.60.130155.500004-12.60.50.210110.100004-7.200.11070.200004-9.100.08025.600004-10.600.07050.800004-5.200.05082.600050.4137152778-6.46666666671.3800347222-6.3216666667
5-5.400.22030000005-5.20.80.2902.300005-5.400.06044.100005-7.100.103.300005-16.810.07029.800005-4.500.05034.100005-0.800.05050.800005-4.200.11020005-4.700.18018.20005-8.65.10.06078.80005-8.100.140127.100005-3.600.010234.400005-6.400.39071.900005100.07051.700005-7.500.17038.900005-8.500.05010200005-3.400.190215.400005-11.700.130162.100005-132.50.210110.600005-7.100.11070.200005-7.900.08025.600005-10.600.07050.800005-5.76.90.05082.600062.9946180556-6.37083333331.0782291667-6.2391666667
6-5.300.22030000006-6.200.2903.100006-4.800.06044.100006-7.619.30.103.300006-15.600.07030.800006-4.500.05034.100006-0.200.05050.800006-4.200.11020006-4.520.18018.20006-8.45.10.06083.90006-7.400.140127.100006-4.100.010234.400006-6.300.39071.9000062.100.07048.600006-7.600.17038.900006-9.500.05010200006-3.100.190215.400006-11.800.130162.100006-13.42.30.210113.100006-6.700.11070.200006-7.600.08025.600006-10.638.10.07050.800006-5.611.20.05089.500070.8357638889-6.12916666671.2269444444-6.0625
7-5.200.22030000007-6.800.2903.100007-4.100.06044.100007-82.50.1022.600007-13.900.07030.800007-3.700.05034.100007-0.200.05050.800007-400.11020007-4.900.18020.20007-8.110.20.060890007-6.200.140127.100007-4.500.010234.400007-6.100.39071.9000072.800.07042.300007-7.300.17038.900007-1000.05010200007-2.600.190215.400007-11.600.130162.100007-13.37.60.210115.400007-6.25.60.11070.200007-7.700.08025.600007-10.400.07088.900007-5.100.050100.700081.0164930556-5.84166666671.2114930556-5.8333333333
8-5.300.22030000008-7.200.2903.100008-3.600.06044.100008-810.1025.100008-12.100.07030.800008-3.200.05034.1000080.300.05050.800008-3.600.11020008-5.100.18020.20008-7.45.10.06099.20008-5.400.140127.100008-4.700.010234.400008-5.800.39071.9000082.500.07033.900008-7.200.17038.900008-9.77.60.05010200008-2.900.190215.400008-1100.130162.100008-12.620.21012300008-6.314.20.11075.800008-7.200.08025.600008-10.100.07088.900008-4.600.050100.700090.8741319444-5.50416666670.6910416667-5.5841666667
9-500.22030000009-7.600.2903.100009-3.500.06044.100009-7.510.1026.100009-1100.07030.800009-2.800.05034.1000090.500.05049.900009-300.11020009-5.100.18020.20009-6.400.060104.30009-4.500.140127.100009-4.300.010234.400009-5.52.50.39071.9000091.700.07026.500009-6.900.17038.900009-8.900.050109.600009-3.200.190215.400009-10.213.70.130162.100009-12.100.21012500009-6.48.10.1109000009-6.700.08025.600009-9.300.07088.900009-4.410.050100.7000100.3364583333-5.32083333330.6007986111-5.355
10-4.600.220300000010-700.2903.1000010-3.400.06044.1000010-6.800.1027.1000010-10.22.50.07030.8000010-2.400.05034.10000100.300.05048.4000010-300.110200010-5.900.18020.200010-5.900.060104.300010-3.500.140127.1000010-3.600.010234.4000010-5.400.39074.40000100.700.07021.5000010-6.70.30.17038.9000010-8.200.050109.6000010-3.300.190215.4000010-9.700.130175.8000010-1200.210125000010-6.84.30.11098.1000010-6.900.08025.6000010-8.700.07088.9000010-4.76.10.050101.7000110.3923611111-5.1250.7046180556-5.1808333333
11-4.100.220300000011-6.600.2903.1000011-4.100.06044.1000011-6.200.1027.1000011-9.92.50.07033.3000011-1.600.05034.10000110.400.05047.4000011-3.700.110200011-6.200.18020.200011-5.200.060104.300011-3.300.140127.1000011-2.500.010234.4000011-5.600.39074.4000011-0.300.07019.5000011-6.400.17039.2000011-7.300.050109.6000011-3.300.190215.4000011-9.111.90.130175.8000011-10.800.210125000011-6.800.110102.4000011-7.100.08025.6000011-8.100.07088.9000011-5.200.050107.8000120.3845486111-4.98333333330.5771875-5.0491666667
12-3.800.220300000012-6.400.2903.1000012-4.500.06044.1000012-5.300.1027.1000012-10.42.50.07035.8000012-1.300.05034.1000012-0.200.05046.2000012-500.110200012-600.18020.200012-4.900.060104.300012-3.400.140127.1000012-1.900.010234.4000012-5.300.39074.4000012-1.200.07019.5000012-6.32.30.17039.2000012-6.65.60.050109.6000012-3.900.190215.4000012-7.500.130187.7000012-9.73.80.210125000012-6.300.110102.4000012-6.800.08025.6000012-7.800.07088.9000012-5.100.050107.8000131.5355902778-4.97083333330.7304861111-4.9275
1
