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Title: Projected flood hazard lines for Brevard County, Florida
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Title: Projected flood hazard lines for Brevard County, Florida
Series Title: Projected flood hazard lines for Brevard County, Florida
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Language: English
Creator: Dean, Robert G.
Publisher: Coastal & Oceanographic Engineering Dept. of Civil & Coastal Engineering, University of Florida
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Table of Contents
    Front Cover
        Front Cover
    Title Page
        Page i
    Table of Contents
        Page ii
        Page iii
    Executive summary
        Page iv
    Main
        Page 1
        Page 2
        Page 3
        Page 4
        Page 5
        Page 6
        Page 7
        Page 8
        Page 9
        Page 10
    Appendix
        Page A-0
        Page A-1
        Page A-2
        Page B-0
        Page B-1
        Page B-2
        Page B-3
        Page B-4
        Page B-5
        Page B-6
        Page B-7
        Page B-8
        Page B-9
        Page B-10
        Page B-11
Full Text





UFL/COEL-98/003


PROJECTED FLOOD HAZARD LINES FOR
BREVARD COUNTY, FLORIDA



by



Robert G. Dean
and
Subarna Malakar


February 20, 1998




Prepared for:

Federal Emergency Management Administration
Flood, Fire and Mitigation Branch
500 C Street, S.W.
Washington, D.C. 20472














PROJECTED FLOOD HAZARD LINES
FOR BREVARD COUNTY, FLORIDA









February 20, 1998









Prepared for:

Federal Emergency Management Administration
Flood, Fire and Mitigation Branch
500 C Street, S. W.
Washington, D. C. 20472









Prepared by:

Department of Coastal and Oceanographic Engineering
University of Florida
Gainesville, Florida 32611










TABLE OF CONTENTS



EXECUTIVE SUMMARY ................................................... iv

INTRODUCTION ........................................................1

THE SETTING .......................................................... 1

PROCEDURES .......................................................... 1

RESULTS ...... ........................................ ...................3
Shoreline Change Rates .................................................. 3
Aerial Photographs With Projected Flood Hazard Lines .......................... 6

SUMMARY AND CONCLUSIONS ........................................... 9

REFERENCE .............................................................. 9

APPENDICES

A DESCRIPTION OF THE THREE METHODS APPLIED TO DETERMINE
LONG TERM SHORELINE CHANGE RATES ........................... A-1

B LATITUDE AND LONGITUDE COORDINATES CORRESPONDING TO THE
DEP MONUMENTS IN BREVARD COUNTY ............................ B-1









LIST OF FIGURES


FIGURE PAGE

1 Location of County for Which Erosion Hazard Areas Were Mapped ................ 2

2 Plot of 3 Methods of Historical Shoreline Change Analysis Using Brevard County
(1875-1997) Data Set .................................................. 4

3 Plot of 3 Methods of Historical Shoreline Change Analysis Using Brevard County
(1928-1997) Data Set ..................................................... 5

4 Histogram of Shoreline Change Rates Using the Least Squares Method for
Brevard County (1875-1997) Data Set ...................................... 7

5 Histogram of Shoreline Change Rates Using the Least Squares Method for
Brevard County (1928-1997) Data Set ....................................... 8

6 An Example of an Aerial Photo With 60 Year Erosion Hazard and FEMA Flood
Zones Drawn With Legend Code ......................................... 10



LIST OF TABLES


TABLE PAGE

1 Correlation Coefficients for the Three Methods Employed for Determination of
Shoreline Change Rates (1972-1989) ..................................... 6










EXECUTIVE SUMMARY


A study has been carried out to determine the erosion rates in Brevard County, Florida and to apply
those rates to the projection of existing flood zones a landward distance equivalent to 60 years of the
erosion trend. The results are provided on a series of 78 aerial photographs at a scale of 1:5000. Each
photograph is annotated to show the 60 year projected shoreline and the 60 year projected V-zone/A-
zone boundaries and the associated gutter lines.

The shoreline changes were based on a shoreline position data base developed and maintained by
the Bureau of Beaches and Coastal Systems (BBCS) of the Florida Department of Environmental
Protection (FDEP). The individual data points are located at nominal shoreline spacings of 1,000 feet
and include data from 1875 to 1997. These shoreline position data were analyzed by three methods
and for two different time periods. Although it was found that all three methods resulted in similar
rates, two of the methods (least squares and end point methods) were in better mutual agreement than
the third (Foster-Savage Method) and based partly on this comparison, a decision was made to apply
the least squares method in this study. The two time periods analyzed were the total period of data
availability (1875 to 1997) and the more recent period of 1928 to 1997. The shoreline change rates
were reasonably similar for these two periods and it was decided to apply rates for the more recent
period in order to emphasize current trends. The average shoreline change rates in Brevard County
are very small; however, there is a wide range of local shoreline change rates with the maximum
local recession and advancement rates for the more recent period approximately 6.6 feet per year and
16.9 feet per year, respectively. Although the shoreline position data base is based on the locations
of the Mean High Water (MHW), the reference elevation employed by the State of Florida for
regulatory purposes is the so-called Seasonal High Water Elevation (SHWE) which is at an elevation
of 1.5 times the mean tidal range above the Mean High Water Elevation (MHWE). The rationale for
the SHWE is that its higher position on the profile than that of MHW should result in a location that
responds more like the long term shoreline change rate and less to individual storms and seasonal
fluctuations.

With the aerial photographs, the Flood Insurance Rate Maps (FIRMs) and the long term erosion rates
available, the annotated aerial photographs were prepared for the 72 mile shoreline of Brevard
County. This entailed plotting the following information on the base maps: (1) The projected 60 year
position of the SHWE (in those cases where the shoreline was stable or advancing, the shoreline was
not projected), (2) The current flood hazard lines as transferred from Flood Insurance Rate Maps
(FIRMS), and (3) The flood hazard lines projected landward by 60 years of the erosion rate at those
shoreline locations where long term erosion existed.










PROJECTED FLOOD HAZARD LINES
FOR BREVARD COUNTY, FLORIDA


INTRODUCTION

The Federal Emergency Management Administration (FEMA) is charged with the assessment of a
wide range of hazards and with developing and implementing measures to achieve long term risk
reduction for these hazards. Coastal areas are subject to hazards due to flooding and damage due to
extreme storms and in some areas, tsunamis. In Florida, coastal hazards are the result of tropical and
extra-tropical storms. In such areas, FEMA is responsible for a program in which numerical
modeling is carried out using the historic meteorological data base and the bathymetry of the area
of concern to establish extreme storm surges and the associated waves. This information is provided
in the form of charts or maps with the hazard zones drawn as isolines denoting the elevations for
lower structural members. These charts, denoted Flood Insurance Rate Maps (FIRMs), are available
for most coastal areas in the United States. In coastal areas with substantial erosion rates, the higher
hazard zones will gradually be translated landward in the future unless shoreline stabilization
measures are implemented. There is merit in recognizing these encroaching hazards in the
management considerations and actions associated with these hazards. FEMA is currently evaluating
economic and other impacts of considering the effects of progressive erosion in the hazard mapping
and management process. This requires the landward projection of hazard areas based on appropriate
local erosion rates. This report presents the results of one such pilot mapping effort for Brevard
County, Florida to determine the long term erosion rates and to project landward the existing flood
hazard zones in accordance with the long term erosion rates.

THE SETTING

Brevard County is located on the middle east coast of Florida and consists of a coastal barrier island
separated from the mainland by Mosquito Lagoon, Indian River and Banana River, extending over
a length of approximately 72 miles, see Figure 1. Between Port Canaveral and Sebastian Inlet,
where FDEP has surveyed beach profiles, the beaches are generally narrow and the dune elevations
vary between 9 to 25 feet above NGVD. Brevard County is subject to hurricanes with the 100 year
storm tide on the order of 11 ft. As is the case for many coastal counties in Florida, the shoreline
change rates averaged over the entire county are small; however, at any particular shoreline location,
the long-term shoreline change rates can deviate substantially from the County average. As an
example, the shoreline change rates for the period 1928 to 1997 range from recession of
approximately 6.6 feet per year to advancement of 16.9 feet per year.

PROCEDURES

The procedures applied may be considered in three steps. The first step required the determination
of the long term shoreline change rates. For this purpose, use was made of the excellent shoreline













Miles

0 2 4 6 8
Scale:


County


v-001







V-OBO
V-070
V-080D
V-090
V-100
V-110


0

Canaveral O

0)

U


Location of County for Which Erosion Hazard Areas Were Mapped.


Figure 1









position data base developed and maintained by the Bureau of Beaches and Coastal Systems (BBCS)
of the Florida Department of Environmental Protection (FDEP). These data extend from the mid-
1870's to 1997. Five dates are available for the V-series monuments, which are located north of Cape
Canaveral and generally for the monuments between Port Canaveral and Sebastian Inlet, data are
available for between ten and twelve dates, with most of the data availability after the 1930's. The
second step required the transfer of the existing flood hazard lines on a set of aerial photographs at
a scale of 1:5,000. The third and final step was the translation of these lines by a distance equal to
60 years of the long term erosion rate.

RESULTS

Shoreline Change Rates

The FDEP shoreline position data base consists of shoreline positions at locations of fixed
monuments along the shoreline. The spacing of these monuments is nominally 1000 feet and the
monuments were first installed in Brevard County in August 1972. The 72 mile shoreline is
represented by a total of 389 monuments of which 168 monuments are V-series ("Virtual", i.e. no
physical monuments present) and the remaining 221 monuments are initially the R-series. Shoreline
position data are available for Brevard County for the period 1875 to 1997, a 122 year period. The
shoreline positions in the FDEP data base are distances from a known monument location to the
Mean High Water Line position. To evaluate the long term rates, three analysis methods were
applied to the available data. These included: (1) the least squares method, (2) the method developed
by Foster and Savage (1989), and (3) the end point method. The analysis of data was applied to the
full set of data (1875-1997) and to a more recent time period (1928-1997). The results for these two
time periods are presented in Figures 2 and 3. Referring to Figure 2 for the total period for which
data are available, it is seen that in general, the three methods are in reasonable agreement; however,
the Foster-Savage method (described in Appendix A) tends to predict more extreme shoreline change
rates at some locations when compared to results from the other two methods. Referring to Figure
3 and comparing the results, the general observations and comments are similar. In order to
intercompare the shoreline change results on a quantitative basis, the correlation coefficients were
developed for the three methods with the results presented in Table 1. On the basis of the results in
Table 1 and those in Figures 2 and 3, it was decided to utilize the results based on the least squares
approach.
























Legend Methods:
Miles LLsQ Average Shoreline Change Rate (Ft/Yr)

0 2 4 6 8 END-PT (-ve Values Indicate Recession)
S-l:FOSTER
Scale:

-20 -10 0 10
-V-001 I

% V-020

V-030
V-040
V-050
V-060
V-070
V-080
V-090
V-100

V-110
V-120
V-130
V V-140
47 V-150
V-160
R-1T
T-10
R-20
-- R-30 (1)
R-40
R-50T
R-60T
R-70
R-BO0
R-90T
R-100 Q
--R-110T
SR-120T
R-130 -)
R-140
R-150O
R-160
R-170T
R-180

R-1904)
R- -00
R-210



Figure 2 Plot of 3 Methods of Historical Shoreline Change Analysis Using

Brevard County (1875-1997) Data Set.





















Legend Methods:
Miles Average Shoreline Change Rate (Ft/Yr)
0 2 4 6 END-PT (-ve Values Indicate Recession)
Scale: FOSTER

-20 -10 0 10
-V-001
V-010
V-020
V-030
V-040
SV-050
V-00


V-OO
V-090
V-100
V-110




V-140
V-150
-160
R-1T
T-10
R-20
-- R-30
R-40
R-50T O
R-50T
R-70
R-80
R-90T
R-100
R-110T
R-120T
R-130
R-140
a- R-150
R-160
R-170T
R-180

R-190
R-20O
R-210



Figure 3 Plot of 3 Methods of Historical Shoreline Change Analysis Using

Brevard County (1928-1997) Data Set.










Table 1


Correlation Coefficients* for the three Methods Employed for
Determination of Shoreline Change Rates
(1928-1997)


Method Least Squares End Point Foster

Least Squares 1.00 0.9901 0.9419

End Point 0.9901 1.00 0.9427

Foster-Savage 0.9419 0.9427 1.00
* Note: To obtain r2 values, it is necessary to square the values in this table.

Although Figures 2 and 3 provide the local shoreline change rates, it may be useful to examine the
results of the shoreline change analysis in different forms. The total average long and shorter
shoreline change values for the entire county are +1.35 and +1.34 feet/year, respectively for the two
time periods based on the least squares method. Figures 4 and 5 present histograms of shoreline
change rates based on the longer (1875 to 1997) and shorter (1928 to 1997) periods, respectively.
A substantial beach nourishment project was placed in 1974 south of the Port Canaveral Entrance
to counter erosional trends caused by this entrance which was constructed in 1951. A second
substantial nourishment is planned in the same approximate location in the next year or two. These
nourishments appear to approximately offset the deleterious effects of this entrance and thus are not
recognized explicitly in modification of the erosion rates. These shoreline protection structures
armoringg) in Brevard county are limited in number, individual length and survival capacity during
a major storm. Thus, shoreline change rates used in projecting the hazard zones were not modified
for the presence of shore protection structures.

Aerial Photographs With Projected Flood Hazard Lines

A complete set of aerial photographs was prepared for Brevard County with the hazard lines
projected 60 years into the future based on the long term erosion rates as determined by the least
squares method and as shown in Figure 3. A five point smoothing filter was applied to the erosion
rates prior to their application to projecting the hazard lines. Additionally, at some locations, limited
subjective smoothing was conducted. The set consists of 78 aerial photographs with each photograph
representing approximately 1.2 miles. The FDEP monuments are indicated on each aerial
photograph. To provide references of the photographs to a standard system, the latitudes and
longitudes associated with each of the FDEP monuments are presented in Appendix B. These
monuments are numbered sequentially with Monument V-001 located at the Northern County
boundary and Monument R-219 located at the Southern County line. The original "gutter lines" are


















100





80




C
O
60 -

o
o


40













O P I Oi C\2 6 In
I I


Shoreline Change Rate (ft/yr)
(-ve Values Indicate Erosion)

Figure 4 Histogram of Shoreline Change Rates Using Least Squares Method for
Brevard County (1875-1997) Data Set.












100





80





0
0


,)
0


40 -
0
-o







20





0
So c r- co c


Shoreline Change Rate (ft/yr)
(-ve Values Indicate Erosion)


Figure 5 Histogram of Shoreline Change Rates Using the Least Squares Method for
Brevard County (1928-1997) Data Set.








indicated by solid lines with each color designating a particular gutter line. The dashed lines
indicate the gutter lines projected by the 60 years of shoreline recession. For those areas with a
long term advancement trend, the gutter lines were not shifted. Figure 6 presents an example
aerial photograph and will be used to describe the series. The code used for interpretation of the
lines on the aerial photographs is provided on each photograph as shown in Figure 6. Figure 6 is
located approximately one-fifth of the distance from Port Canaveral to Sebastian Inlet. Figure 6
encompasses approximately 5000 feet of beach fronting the Atlantic Ocean. Referring to Figure
6, it is seen that Monument "R-38" is located near the northern part of the photo and Monument
"R-41T" is located near the southern part of the photograph. The solid black line is the 60-year
projected position of the solid green SHWL line. The solid and dashed red lines correspond to
current and projected 16 feet flood hazard lines; the solid green line also corresponds to the
current 13 feet flood hazard line with its projected line indicated by the solid black line. The
localized solid and dashed light blue lines correspond to the current and projected one foot depth
flood hazard lines, which is located between monuments R-38 and R-39.


SUMMARY AND CONCLUSIONS

This study has developed the long term shoreline change rates for Brevard County, Florida and
applied these rates by displacing the flood hazard lines landward by 60 years of the erosional trend.
Two periods were considered in developing the erosion rates: (1) The full 122 year period of
shoreline availability (1875 to 1997) and, (2) the most recent 69 year period (1928 to 1997).
Additionally three different methods for determining the shoreline changes from the available data
were applied and intercompared. Based on examination of the results, the least squares results based
on the shorter time period were applied to the displacement of the flood lines. Although, on average,
the long term shoreline change trend in Brevard County is small, the deviations from the County
average are large ranging from a local erosional trend of approximately 6.6 feet per year to
advancement of 16.9 feet per year. These are limited shoreline protection structures in Brevard
county. The effects of these structures were not recognized in translating the hazard lines.

The results are presented as a series of 78 aerial photographs at a scale of 1:5,000. Each photograph
is annotated with the positions of the shoreline projected to represent 60 years of the erosional trend,
the current flood hazard lines and the flood hazard lines projected by 60 years of erosional trend. In
areas where the shoreline trend is neutral or advancing, there are no projected shorelines nor
projected flood hazard lines.

REFERENCE

Foster, E. R. and R. J. Savage (1989) "Methods of Historical Shoreline Analysis", Proceedings,
Coastal Zone '89, Vol. 5, pp. 4434-4448.














-4




















*HR I '*
*'.












k:
X.-

r J. Ij















'" r-




















10










APPENDIX A

DESCRIPTION OF THE THREE METHODS APPLIED TO DETERMINE
LONG TERM SHORELINE CHANGE RATES










APPENDIX A


DESCRIPTION OF THE THREE METHODS APPLIED TO DETERMINE
LONG TERM SHORELINE CHANGE RATES





INTRODUCTION

The three methods used to determine long term shoreline change rates include: (1) The least squares
method, (2) The method developed by Foster and Savage, and (3) The end point method. For
purposes of completeness in this report, each of these three methods is described briefly below.

DESCRIPTION OF THE THREE METHODS

The three methods employed in the analysis herein are described below.

(1) The Least Squares Method

The least squares method is a formal procedure which establishes the "best fit" of an analytical
relationship to a set of data. In the application here the analytical relationship is a straight line with
two unknowns and thus requires at least two data points. If only two data points were available, the
fit of the straight line to the data points would be exact and would be the same as the "end point"
method. In the case in which there are more data points than free parameters in the analytical
relationship, the method minimizes the sum of squares of the deviations between the data points and
the analytical relationship. The method of least squares is described in many references and is
commonly available as a subroutine in software packages.

(2) Method of Foster and Savage

This method was developed and proposed by Foster and Savage (1989) and provides a rational basis
for taking into consideration the accuracies of the individual data points and the spacing of the data
points in time. Basically, the method averages those possible end point rates that qualify based on
consideration of the magnitude of the difference in shoreline position being realistic, ie not simply
the result of errors in the data. Defining E, and e2 as errors in data at times t1 and t2, respectively,
the criterion for determining the rate is that the minimum time between data points to be considered
is











mmi R


in which E, and E2 are the errors associated with the data at times t1 and t2, respectively and Ri is the
end point rate for the location of interest. The average end point rate is then taken to be the average
of all end point rates which satisfy the above criterion. It is noted that for N available data points,
there are N(N-1)/2possible combinations. For example, if there are 7 data points, there are 21
possible combinations of pairs of points that could yield valid end point rates if they all satisfied the
above equation.

(3) End Point Method

This is the most simple method of the three and involves the calculation of the rate based on the first
and last data points.


A-2










APPENDIX B

LATITUDE AND LONGITUDE COORDINATES CORRESPONDING
TO THE DEP MONUMENTS IN BREVARD COUNTY









Long:deg,min,sec


Mon-Id

V-001
V-002
V-003
V-004

V-005
V-006
V-007
V-008

V-009
V-010
V-011
V-012

V-013
V-014
V-015
V-016

V-017
V-018
V-019
V-020

V-021
V-022
V-023
V-024

V-025
V-026
V-027
V-028

V-029
V-030
V-031
V-032

V-033
V-034
V-035
V-036

V-037


28 43 1.75700
28 42 53.63132
28 42 45.50555
28 42 37.37846

28 42 29.25253


27.36924
18.86999
10.37314
1.87374

53.37428
44.87722
36.37762
27.87794

19.38068
10.88087
2.38098
53.88351

45.38349
36.88340
28.38571
19.88548

11.76002
3.63694
55.51130
47.38681

39.26224
31.13758
23.01160
14.88677

6.76186
58.63686
50.51054
42.38660

34.26011
26.13477
18.00934
9.88259


80 40 22.27704


3.55151
57.78506
52.01746
46.25153

40.48516
34.71974
28.95459
23.18829

17.42365
11.65927
5.89445
.13059

54.36558
48.60224
42.83914
37.07491

30.65405
24.23276
17.81105
11.39031

4.97055
58.54966
52.12905
45.70941

39.29075
32.87096
26.45215
20.03291

13.61395
7.19666
.77895
54.36081

47.94365
41.52746
35.11014
28.69311


Lat:deg,min,sec









V-038
V-039
V-040

V-041
V-042
V-043
V-044

V-045
V-046
V-047
V-048

V-049
V-050
V-051
V-052

V-053
V-054
V-055
V-056

V-057
V-058
V-059
V-060

V-061
V-062
V-063
V-064

V-065
V-066
V-067
V-068

V-069
V-070
V-071
V-072

V-073
V-074
V-075
V-076


21.12651
13.00040
4.87297

56.74793
48.62033
40.49389
32.36736

24.24074
16.11280
7.98602
59.85915

51.73219
43.60391
35.47803
27.34958

18.93767
10.52445
2.11240
53.69904

45.28684
36.87457
28.46223
20.04858

11.63609
3.22229
54.80966
46.39572

37.98294
29.56885
21.15593
12.74294

4.32988
56.50809
48.68622
40.86301

33.04093
25.21877
17.39650
9.57414


B-2


15.86195
9.44573
3.03049

56.61482
50.20083
43.78571
37.37157

30.95699
24.54410
18.13078
11.71703

5.30355
58.89106
52.47953
46.06688

40.14661
34.22591
28.30476
22.38528

16.46605
10.54639
4.62769
58.70785

52.78897
46.87106
40.95340
35.03531

29.11817
23.19990
17.28259
11.36623

5.45014
58.56847
51.68918
44.80878

37.92795
31.04951
24.16995
17.28997









V-077
V-078
V-079
V-080

V-081
V-082
V-083
V-084

V-085
V-086
V-087
V-088

V-089
V-090
V-091
V-092

V-093
V-094
V-095
V-096

V-097
V-098
V-099
V-100

V-101
V-102
V-103
V-104

V-105
V-106
V-107
V-108

V-109
V-110
V-1ll
V-112

V-113
V-114
V-115


1.75168
53.92913
46.10648
38.28373

30.45965
22.63671
14.81367
6.99054

59.16730
51.34398
43.52055
35.69703

27.87342
20.04847
10.52239
.99381

51.46768
41.93906
32.41166
22.88423

13.35678
3.82932
54.30183
44.77308

35.01650
25.25991
15.50207
5.74545

55.98760
46.23096
36.47432
26.71643

16.95976
7.20185
57.82832
48.45477


28 31 39.08118
28 31 29.70757
28 31 20.33393


B-3


10.41238
3.53366
56.65594
49.77779

42.89993
36.02304
29.14574
22.26942

15.39269
8.51623
1.64076
54.76487

47.88996
41.01464
37.96164
34.90671

31.85402
28.80008
25.74699
22.69405

19.64056
16.58862
13.53613
10.48310

8.57570
6.66770
4.76050
2.85268

.94637
59.03804
57.13191
55.22448

53.31784
51.41059
47.79982
44.18782

40.57670
36.96645
33.35498









28 31 10.95902


V-116

V-117
V-118
V-119
V-120

V-121
V-122
V-123
V-124

V-125
V-126
V-127
V-128

V-129
V-130
V-131
V-132

V-133
V-134
V-135
V-136

V-137
V-138
V-139
V-140

V-141A
V-141B
V-142
V-143

V-144
V-145
V-146
V-147

V-148
V-149
V-150
V-151


1.58533
52.52547
43.46434
34.40441

25.34319
16.28317
7.22186
58.16175

49.10160
40.04141
30.98117
21.91966

12.85933
3.79773
54.73733
45.67564

36.61515
27.55337
18.49280
9.43218

.37151
51.31081
42.24883
33.18803

24.12597
24.12597
19.97653
15.82688

11.67825
7.52817
3.37664
59.22613

55.07665
50.92571
46.77456
42.62196


28 26 38.47162


26.13396
21.61233
17.09091
12.57040

8.04870
3.52861
59.00734
54.48768

49.96823
45.44759
40.92856
36.40975

31.88975
27.37136
22.85318
18.33382

13.81606
9.29712
4.77978
.26196

55.74435
51.22695
46.71047
42.19279

37.67673
37.67673
47.84885
58.02076

8.19244
18.36321
28.53447
38.70550

48.87631
59.04760
9.21798
19.38815


80 33 29.74369


V-152


80 33 29.55808









26 34.31982
26 30.16781
26 23.56779


V-153
V-154
V-155

V-156
V-157
V-158
V-159

V-160
V-161
V-162
V-163

V-164
V-165
V-166
V-167

R-1-T
R-2
R-3
T-4

R-5
R-6-T
R-7-T
R-8


16.97010
10.37102
3.77180
57.17119

48.61384
40.05642
31.49892
22.94136

14.38373
5.82603
57.26701
48.70917

25.89017
17.58934
7.09159
58.06655

48.99054
39.71652
30.68679
21.98615

12.69721
3.72221
54.13565
44.80039

35.30108
26.24394
16.55073
6.66108

57.42821
49.35685
39.69214
30.15167

19.97654
11.74217
2.78793
52.59570


B-5


33 39.72710
33 49.89661
33 58.24790

34 6.59960
34 14.95031
34 23.30143
34 31.65087

34 37.28534
34 42.91955
34 48.55351
34 54.18721

34 59.82067
35 5.45386
35 11.08681
35 16.71950

35 31.80363
35 32.40651
35 36.75220
35 40.21864

35 43.20364
35 46.20464
35 49.78959
35 52.49281

35 53.81540
35 55.83089
35 58.64906
36 1.06872

36 3.26496
36 5.99120
36 7.91926
36 10.39648

36 12.30023
36 16.94763
36 18.47775
36 20.17523

36 21.55038
36 22.92389
36 23.61446
36 22.50204


R-9
T-10
R-11
R-12


R-13
R-14
R-15-T
R-16

R-17-T
R-18
R-19
R-20


R-21
R-22
R-23
R-24









R-25
R-26
R-27
R-28-T

R-29-T
R-30
R-31
R-32

R-33
R-34
R-35-T
R-36

R-37-T
R-38
R-39
R-40

R-41-T
R-42
R-43-T
R-44

R-45-T
R-46
R-47
R-48

R-49
R-50-T
R-51-T
R-52-T

R-53-T
R-54
R-55-T
R-56-T

R-57-T
R-58-T
R-59-T
R-60-T

R-61-T
R-62-T
R-63-T


42.97248
32.86262
23.31144
13.83618

4.26473
54.26935
44.59921
34.77972

25.17184
17.20414
8.00112
58.98569

50.36586
39.71149
29.93186
20.41531

10.98281
1.10016
51.29119
41.79642

32.01499
22.48954
12.63851
3.32785

53.11568
41.75587
34.72382
25.22680

17.17459
7.36768
57.96286
48.03356

39.69126
29.99951
20.41844
10.47242

.69503
50.90721
41.34694


80 36 11.97197
80 36 10.37569
80 36 8.71155


B-6


22.98520
24.68440
30.85162
28.12849

27.68244
27.88141
29.27650
28.66351

29.33097
32.21903
32.49886
32.58778

32.51301
32.54638
32.02834
31.74989

31.43199
31.24999
30.86637
30.85077

30.14267
30.22227
28.98875
28.00497

27.30558
24.37068
25.51496
25.15835

24.49449
23.12135
20.40477
19.51871

18.27528
16.92924
14.91262
13.38946









28 14 31.73307


R-64-T

R-65-T
R-66
R-67-T
R-68-T

R-69
R-70
R-71
R-72-T

R-73
R-74-T
R-75
R-76-T
R-77

R-78-T
R-79
R-80
R-81

R-82-T
R-83-T
R-84
R-85

R-86-T
R-87
R-88-T
R-89-T

R-90-T
R-91-T
R-92-T
R-93

R-94-T
R-95-T
R-96
R-97


22.08406
12.30166
3.75703
54.34880

44.44034
35.24237
25.44003
16.66310

6.67185
58.18224
48.24492
37.51082
29.99740

20.23423
10.39928
.32429
51.82199

42.28965
32.89241
23.25585
16.13623

6.53891
58.09650
47.21583
38.55457

32.48089
23.92783
15.28650
5.64429

55.99761
48.45176
39.37460
30.41600

20.74430
11.44436
1.83686
52.18993


B-7


5.82289
4.39739
2.98133
2.53561

2.03027
.68387
59.22240
56.26411

56.23507
53.33809
53.12937
51.35319
50.43126

48.84160
48.09613
46.54130
44.39946

42.18894
40.45859
38.17044
36.49870

34.09326
32.13613
29.39496
27.10922

25.87525
23.35461
21.12493
18.64219

16.32160
14.53493
12.27380
9.92852

7.54140
5.29820
2.86638
.49627


R-98
R-99
R-100
R-101


80 36 7.34958









R-102
R-103
R-104-T
R-105

R-106
R-107-T
R-108
R-109-T

R-110-T
R-1ll
R-112
R-113-T

R-114
R-115
R-116
R-117-T

R-118-T
R-119
R-120
R-121-T

R-122
R-123
R-124
R-125-T

R-126-T
R-127
R-128
R-129-T

R-130
R-131-T
R-132
R-133

R-134
R-135
R-136
R-137-T

R-138-T
R-139
R-140


42.73139
33.10885
24.39810
18.19943

5.38214
56.19654
47.29073
38.29724

27.09257
19.13901
9.51119
1.12118

52.23499
41.33625
33.95658
25.84987

15.81188
6.92016
58.11833
47.66116

39.97492
31.13214
22.01890
12.66161

3.37000
54.72358
46.89285
37.04827

27.67873
19.42985
12.19010
2.20449

52.78384
43.85679
34.34548
27.73783

16.93488
6.48496
59.82721


34 58.21352
34 55.73323
34 53.51621
34 51.92063

34 48.62234
34 43.74634
34 44.13299
34 41.76681

34 38.43214
34 36.14029
34 33.59686
34 31.07381

34 28.20522
34 24.57418
34 23.35823
34 16.84093

34 16.16058
34 13.14194
34 10.37640
34 7.08304

34 4.83041
34 1.65578
33 55.94233
33 52.91526

33 48.74929
33 48.18696
33 44.90779
33 40.47729

33 37.52215
33 33.56067
33 30.10176
33 25.73888

33 21.17018
33 17.29381
33 13.79815
33 9.87974

33 5.44871
33 1.49079
32 57.42241









28 2 50.38196


80 32 53.36023


R-141

R-142
R-143
R-144
R-145


27 57 29.18099


R-146
R-147-T
R-148
R-149


80 30 14.00113


B-9


43.25631
34.19968
25.07714
17.34264

11.00153
59.39692
50.58313
42.20231

32.57752
26.10566
13.73360
5.37704

58.38942
46.24360
41.68014
31.06245

23.87803
15.39154
5.13042
57.70031

51.71387
40.96279
34.05164
25.45394

14.29060
5.66058
55.22975
47.35631

38.46479
30.10193
21.00080
11.38083

2.43736
55.62866
45.50361
36.47415


50.05860
46.00142
42.98606
38.25407

35.29353
29.60391
25.29973
21.30145

16.94600
13.79213
8.17263
4.06899

.69043
54.67329
52.21059
47.15238

43.81013
39.77921
34.78704
30.93734

27.92926
21.60123
17.52104
12.54491

7.31269
3.03432
57.76032
54.63897

49.24700
44.95706
40.52006
36.38673

33.14413
28.75168
23.24952
18.14966


R-150
R-151
R-152
R-153


R-154
R-155
R-156
R-157-T

R-158
R-159-T
R-160
R-161


R-162
R-163
R-164
R-165

R-166
R-167
R-168
R-169


R-170-T
R-171-T
R-172
R-173

R-174
R-175-T
R-176
R-177


R-178









30 9.70453
30 4.08490
29 58.54122


R-179
R-180
R-181

R-182
R-183
R-184
R-185

R-186
R-187
R-188
R-189

R-190
R-191
R-192
R-193

R-194
R-195
R-196
R-197

R-198
R-199
R-200
R-201

R-202
R-203
R-204
R-205


21.38223
11.54865
2.23022

54.26154
46.08461
36.74135
27.77823

18.97831
12.73648
4.24995
55.70205

46.46777
38.31762
29.59382
20.79772

11.80491
3.00227
54.19527
44.73683

35.93349
27.89502
18.23916
10.60458

2.20701
52.35749
45.70250
36.81771

28.03420
19.26062
10.73905
2.27763

52.51568
43.41122
37.88457
32.08452

23.42307
14.59164
5.58214
56.59721


53.85016
49.08777
43.57280
39.12112

33.28634
29.69757
25.62887
19.70437

15.62286
10.17634
4.92854
58.57351

54.56695
49.46445
44.53149
40.17175

34.92502
30.32130
24.86179
21.67134

15.77218
10.20843
6.20637
.47677

55.34873
50.23759
45.01399
39.99091

34.13872
29.30317
26.50519
24.69620

19.22376
14.60481
10.04266
5.44161


R-206
R-207
R-208
R-209-T

R-210
R-211
R-212-T
R-213

R-214
R-215
R-216-T
R-217-T


B-10









27 51 46.84412
27 51 38.71370


80 27 .67194
80 26 55.58234


B-11


R-218
R-219




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