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VOLUME 3 OF 3 BAY COUNTY, FLORIDA AND INCORPORATED AREAS COMMUNITY NAME COMMUNITY NUMBER BAY COUNTY, UNINCORPORATED AREAS 120004 CALLAWAY, CITY OF 120005 LYNN HAVEN, CITY OF 120009 MEXICO BEACH, CITY OF 120010 PANAMA CITY, CITY OF 120012 PANAMA CITY BEACH, CITY OF 102213 PARKER, CITY OF 120011 SPRINGFIELD, CITY OF 120014 PRELIMINARY: October 25, 2019 REVISED: TBD FLOOD INSURANCE STUDY NUMBER 12005CV000C Version Number 2.5.3.6

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VOLUME 3 OF 3

BAY COUNTY,FLORIDAAND INCORPORATED AREAS

COMMUNITY NAME COMMUNITY NUMBERBAY COUNTY,UNINCORPORATED AREAS 120004

CALLAWAY, CITY OF 120005LYNN HAVEN, CITY OF 120009MEXICO BEACH, CITY OF 120010PANAMA CITY, CITY OF 120012PANAMA CITY BEACH, CITY OF 102213PARKER, CITY OF 120011SPRINGFIELD, CITY OF 120014

PRELIMINARY:October 25, 2019

REVISED:TBD

FLOOD INSURANCE STUDY NUMBER12005CV000CVersion Number 2.5.3.6

i

TABLE OF CONTENTS Volume 1

Page

SECTION 1.0 – INTRODUCTION 1 1.1 The National Flood Insurance Program 1 1.2 Purpose of this Flood Insurance Study Report 2 1.3 Jurisdictions Included in the Flood Insurance Study Project 2 1.4 Considerations for using this Flood Insurance Study Report 6

SECTION 2.0 – FLOODPLAIN MANAGEMENT APPLICATIONS 17 2.1 Floodplain Boundaries 17 2.2 Floodways 30 2.3 Base Flood Elevations 31 2.4 Non-Encroachment Zones 31 2.5 Coastal Flood Hazard Areas 32

2.5.1 Water Elevations and the Effects of Waves 32 2.5.2 Floodplain Boundaries and BFEs for Coastal Areas 33 2.5.3 Coastal High Hazard Areas 34 2.5.4 Limit of Moderate Wave Action 36

SECTION 3.0 – INSURANCE APPLICATIONS 36 3.1 National Flood Insurance Program Insurance Zones 36

SECTION 4.0 – AREA STUDIED 37 4.1 Basin Description 37 4.2 Principal Flood Problems 37 4.3 Non-Levee Flood Protection Measures 38 4.4 Levees 39

SECTION 5.0 – ENGINEERING METHODS 40 5.1 Hydrologic Analyses 40 5.2 Hydraulic Analyses 62 5.3 Coastal Analyses 74

5.3.1 Total Stillwater Elevations 75 5.3.2 Waves 77 5.3.3 Coastal Erosion 77 5.3.4 Wave Hazard Analyses 77

5.4 Alluvial Fan Analyses 100

ii

TABLE OF CONTENTS (continued) Volume 1

Figures

Page

Figure 1: FIRM Index 9 Figure 2: FIRM Notes to Users 10 Figure 3: Map Legend for FIRM 13 Figure 4: Floodway Schematic 30 Figure 5: Wave Runup Transect Schematic 33 Figure 6: Coastal Transect Schematic 35 Figure 7: Frequency Discharge-Drainage Area Curves 48 Figure 8: 1% Annual Chance Total Stillwater Elevations for Coastal Areas 76 Figure 9: Transect Location Map 99

Tables Page

Table 1: Listing of NFIP Jurisdictions 2 Table 2: Flooding Sources Included in this FIS Report 19 Table 3: Flood Zone Designations by Community 37 Table 4: Basin Characteristics 37 Table 5: Principal Flood Problems 38 Table 6: Historic Flooding Elevations 38 Table 7: Non-Levee Flood Protection Measures 38 Table 8: Levees 39 Table 9: Summary of Discharges 41 Table 10: Summary of Non-Coastal Stillwater Elevations 49 Table 11: Stream Gage Information used to Determine Discharges 62 Table 12: Summary of Hydrologic and Hydraulic Analyses and 63 Table 13: Roughness Coefficients 73 Table 14: Summary of Coastal Analyses 74 Table 15: Tide Gage Analysis Specifics 76 Table 16: Coastal Transect Parameters 79 Table 17: Summary of Alluvial Fan Analyses 100 Table 18: Results of Alluvial Fan Analyses 100

iii

TABLE OF CONTENTS (continued) Volume 2

SECTION 6.0 – MAPPING METHODS 101 6.1 Vertical and Horizontal Control 101 6.2 Base Map 102 6.3 Floodplain and Floodway Delineation 103 6.4 Coastal Flood Hazard Mapping 126 6.5 FIRM Revisions 132

6.5.1 Letters of Map Amendment 133 6.5.2 Letters of Map Revision Based on Fill 133 6.5.3 Letters of Map Revision 133 6.5.4 Physical Map Revisions 135 6.5.5 Contracted Restudies 136 6.5.6 Community Map History 136

SECTION 7.0 – CONTRACTED STUDIES AND COMMUNITY COORDINATION 138 7.1 Contracted Studies 138 7.2 Community Meetings 146

SECTION 8.0 – ADDITIONAL INFORMATION 148

SECTION 9.0 – BIBLIOGRAPHY AND REFERENCES 149

Tables Page

Table 19: Countywide Vertical Datum Conversion 101 Table 20: Stream-Based Vertical Datum Conversion 101 Table 21: Base Map Sources 102 Table 22: Summary of Topographic Elevation Data used in Mapping 104 Table 23: Floodway Data 105 Table 24: Flood Hazard and Non-Encroachment Data for Selected Streams 126 Table 25: Summary of Coastal Transect Mapping Considerations 127 Table 26: Incorporated Letters of Map Change 134 Table 27: Community Map History 137 Table 28: Summary of Contracted Studies Included in this FIS Report 138 Table 29: Community Meetings 147 Table 30: Map Repositories 148 Table 31: Additional Information 149 Table 32: Bibliography and References 150

iv

TABLE OF CONTENTS (continued) Volume 2

Exhibits

Flood Profiles Panel

Alf Coleman 01 P Arnold Creek 02 P Bayou George 03-04 P Bear Creek 05-09 P Beckrich Creek 10-11 P Breakfast Creek 12 P Buckhorn Creek 13 P Callaway Bayou Tributary 14-17 P Callaway Bayou Tributary East Branch 18 P Callaway Bayou Tributary West Branch 19 P Callaway Creek 20 P Choctawhatchee River 21 P Clear Creek 22-23 P Double Branch 24 P Eagle Drive Creek 25 P Eagle Drive Creek Tributary 26 P Econfina Creek 27-33 P Fanning Bayou Tributary 34 P

Volume 3

Flood Profiles Panel

Green Creek 35 P Gulf Highlands Creek 36 P Gulf Highlands Creek Tributary 37 P Juniper Creek 38-39 P Laird Street Ditch 40 P Laird Street Outfall 41 P Lake Martin 42-44 P Lake Martin Tributary 45 P Little Bear Creek 46-47 P Little Bear Creek Tributary 48 P Mill Bayou 49-50 P Mill Bayou Tributary 51-52 P Mill Bayou Tributary North Reach 53 P Mill Bayou Tributary South Reach 54 P Mill Bayou Unnamed Tributary 1 55 P Mill Bayou Unnamed Tributary 2 56 P Minge Bayou 57 P Minge Branch 58 P Miracle Strip Loop Tributary 59 P Moonlight Bay Drive Creek 60 P Pine Log Creek 61-66 P

v

TABLE OF CONTENTS (continued) Volume 3

Exhibits

Flood Profiles Panel

South Fork Bear Creek 67-68 P South Fork Bear Creek Unnamed Tributary 1 69 P South Fork Bear Creek Unnamed Tributary 2 70 P Sweetwater Creek 71-72 P Tributary 1 to Newman Bayou 73 P Tributary 2 to Newman Bayou 74 P Unnamed Tributary 1 75 P Unnamed Tributary 1 to Bear Creek 76-77 P Unnamed Tributary 2 to Bear Creek 78 P Unnamed Tributary to Econfina Creek 79 P William Bayou Reach 1 80 P William Bayou Reach 2 81 P

Published Separately

Flood Insurance Rate Map (FIRM)

130

135

140 140

145 145

150 150

155 155

160 160

165 165

170 170

175 175

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STREAM DISTANCE IN FEET ABOVE U.S. ROUTE 98 (BUSINESS)

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STREAM DISTANCE IN FEET ABOVE COUNTY HIGHWAY 390

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STREAM DISTANCE IN FEET ABOVE COUNTY HIGHWAY 390

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2,600 3,100 3,600 4,100 4,600 5,100 5,600 6,100 6,600 7,100 7,600 8,100 8,600 9,100

STREAM DISTANCE IN STREAM DISTANCE IN FEET ABOVE CONFLUENCE WITH MILL BAYOU 52P

53P

BAY

CO

UN

TY, F

L

ELEV

ATIO

N IN

FEE

T (N

AVD

88)

FED

ERAL

EM

ERG

ENC

Y M

ANAG

EMEN

T AG

ENC

YFL

OO

D P

RO

FILE

S

AND

INC

OR

POR

ATED

AR

EAS

LEGEND

0.2% ANNUAL CHANCE FLOOD *

1% ANNUAL CHANCE FLOOD

STREAM BED

CROSS SECTION LOCATION

10% ANNUAL CHANCE FLOOD *

2% ANNUAL CHANCE FLOOD *

*DATA NOT AVALIABLE

June

11,

201

9

shelly.brooks
Text Box

54P

BAY

CO

UN

TY, F

L

ELEV

ATIO

N IN

FEE

T (N

AVD

88)

FED

ERAL

EM

ERG

ENC

Y M

ANAG

EMEN

T AG

ENC

YFL

OO

D P

RO

FILE

S

AND

INC

OR

POR

ATED

AR

EAS

LEGEND

0.2% ANNUAL CHANCE FLOOD *

1% ANNUAL CHANCE FLOOD

STREAM BED

CROSS SECTION LOCATION

10% ANNUAL CHANCE FLOOD *

2% ANNUAL CHANCE FLOOD *

*DATA NOT AVALIABLE

June

11,

201

9

shelly.brooks
Text Box

70 70

-60

' 60 : ''

-1

I I l 1; ' r ( l

" ' ,. ! : : �.

,_ J ; : ,_ ,_ ,. : en

I

50: I I LJ

50 w => 11 LJ ...J -0 LL

0 � c::: Ill a.. w

40 40 0 (!) 0 z -0 �

LL <lO

30 30 �

w

z

z

0 20 20

� ...J w

-� -� -...

>-10

�10 �..- (.)

i...-z w (9

en <( " I- <( -z ...J ww LL 0::: � w

�-0

0 0 <( w

LEGEND z

� <( z 0.2% ANNUAL CHANCE: FLOOD � ::::>

>- 0

0 ------ 1 % ANNUAL CHANCE FLOOD (.) a.

z ()

0::: w 0 ----- 2% ANNUAL CHANCE FLOOD" (9

� (.)

-10 o:'. z ----------

10% ANNUAL CHANCE FLOOD* w �

CD 0

...... w

STREAM BED ...J z

0<( <( o:'.

CROSS SECTION LOCATION w D

• DATA NOT AVAILABLE w

-20 LL

0 500 1,000 1,500 2,000 2,500 3,000 3,500

STREAM DISTANCE IN FEET ABOVE CONFLUENCE WITH MILL BAYOU 57P

75

,>,.

,..........8-

70 '.IJ, .... I -= :::,

-

I

65 §=

=:: --

60

-

CX) CX)

0

� z 55 -

I-w wu. z-z

0 50 I-

w _J

w

45

'

40

35

30 0 500

.. �� -··---·

I/

) I'\.

I/ i IV

1000

. -

i'-.

1500

... ,.,. I/

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2000

. - . --·· - . -·

....

2500

-· -·

� ""''

>-....--

If,,""' -= :::,

.... I ... 1

=::-�

-·· � ·-

L., ....

3000 3500 4000

STREAM DISTANCE IN FEET UPSTREAM OF NEHI ROAD

4500

75

70

en w .....J I

65 - (.)u. z0 <( 0:: �

co a..

w 60 0 (9

0 z -0 �.....J u.

55

50

>-(.)

45 zw (!) Cl) <( .....J � I-z u. 0::w

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<( I- wLEGEND z z� <(

0.2% ANNUAL CHANCE FLOOD � ::::> 0::>-0� -··-··-··-··-··-1% ANNUAL CHANCE FLOOD (.)

z

t) �-·-·-·-·-·-·-2% ANNUAL CHANCE FLOOD w (!)

·-----------------· 10% ANNUAL CHANCE FLOODc::: >- (.) w

<( z:uusauus �

STREAM BED w

0_J CC 0

CROSS SECTION LOCATION � z <( w

0

5000 5500 6000 6500 wu.

58P

*

*

*

* DATA UNAVAILABLE

59P

35 '"' ,_ ,_ I

30

25

20

-

C

� z 15 I-wwLL

z

0

� 10

w .J w

5

0 --

-5

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f I I II Ill I �I' ., " I ,r Ill I F u

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1,000

, .. - -,_ '""I"'

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3,000

35

30 � w w

a:: 0

ww 25 � ...J -

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zw (!) c( I-

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z c( w LL w :E 0::w ... c(

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LEGEND c( I- w z

z I-

0.2% ANNUAL CHANCE FLOOD * c( � :E :::, >- 0

-- - - -- 1% ANNUAL CHANCE FLOOD (J 0 ll.

z 0 0::

2% ANNUAL CHANCE FLOOD * w 0 (J (!)

� 0:: z

- - - - - - - - - - 10% ANNUAL CHANCE FLOOD* w :E C

STREAM BED m z � w

c( .J

CROSS SECTION LOCATION �wCw

4,000 5,000 6,000 7,000 8,000 9,000 10,000 11,000 12,000 13,000 LL

STREAM DISTANCE IN FEET ABOVE CONFLUENCE WITH BOTHERATION BAYOU * DATA NOT AVAILABLE60P

shelly.brooks
Text Box
shelly.brooks
Text Box
shelly.brooks
Text Box
shelly.brooks
Line
shelly.brooks
Line

ELEV

AT

ION

IN

FEE

T (N

AV

D 8

8)

AN

D I

NC

OR

PO

RA

TED

AR

EAS

FED

ERA

L EM

ERG

ENC

Y M

AN

AG

EMEN

T A

GEN

CY

LEGEND

0.2% ANNUAL CHANCE FLOOD

1% ANNUAL CHANCE FLOOD

STREAM BED

CROSS SECTION LOCATION

10% ANNUAL CHANCE FLOOD

2% ANNUAL CHANCE FLOOD

FLO

OD

PR

OFI

LES

1,000 2,000 11,000 12,00070

80

90 90

100 100

110 110

120 120

130 130

140 140

150 150

160 160

3,000 4,000 5,000 6,000 7,000 8,000 9,000 10,000

STREAM DISTANCE IN FEET ABOVE CONFLUENCE WITH ECONFINA CREEK

BA

Y C

OU

NT

Y,

FLS

WEE

TW

AT

ER C

REE

K

A B

C

71P

CO

NFL

UEN

CE

WIT

HEC

ON

FIN

A C

REE

K(F

RO

M C

OU

NT

YB

OU

ND

AR

Y)

1 PERCENT BACKWATER FROM ECONFINA CREEK(FROM COUNTY BOUNDARY)

SW

EET

WA

TER

BR

AN

CH

RO

AD

0

ELEV

AT

ION

IN

FEE

T (N

AV

D 8

8)

AN

D I

NC

OR

PO

RA

TED

AR

EAS

FED

ERA

L EM

ERG

ENC

Y M

AN

AG

EMEN

T A

GEN

CY

LEGEND

0.2% ANNUAL CHANCE FLOOD

1% ANNUAL CHANCE FLOOD

STREAM BED

CROSS SECTION LOCATION

10% ANNUAL CHANCE FLOOD

2% ANNUAL CHANCE FLOOD

FLO

OD

PR

OFI

LES

13,000 14,000 15,000 16,000 17,000 18,000 19,000 20,000 21,000 22,000 23,000 24,000120

130

140 140

150 150

160 160

170 170

180 180

190 190

200 200

210 210

STREAM DISTANCE IN FEET ABOVE CONFLUENCE WITH ECONFINA CREEK

BA

Y C

OU

NT

Y,

FLS

WEE

TW

AT

ER C

REE

K

D E

72P

LIM

IT O

F D

ETA

ILED

ST

UD

Y

12,000

73PSTREAM DISTANCE IN FEET ABOVE CONFLUENCE WITH NEWMAN BAYOU

LEGEND

0 500 1,000 1,500 2,000 2,500 3,000 3,500-10

-5

0

5

10

15

20

0

5

10

15

20

10

15

20

LEGEND

0.2% ANNUAL CHANCE FLOOD

1% ANNUAL CHANCE FLOOD

STREAM BED

CROSS SECTION LOCATION

10% ANNUAL CHANCE FLOOD

2% ANNUAL CHANCE FLOOD

74PSTREAM DISTANCE IN FEET ABOVE CONFLUENCE WITH TRIBUTARY 1 TO NEWMAN BAYOU

LEGEND

0.2% ANNUAL CHANCE FLOOD

1% ANNUAL CHANCE FLOOD

STREAM BED

CROSS SECTION LOCATION

10% ANNUAL CHANCE FLOOD

2% ANNUAL CHANCE FLOOD

0

5

10

15

20

25

0

10

15

20

25

100 200 300 400 500 600

30 30

I= .l .!-,E IFL _UL IH� .. h NII i'C' I l•I 11 �rt

n, ... ... ,i ,,. .. ,-i111 li:llA IYQII

25 25

�w w

a:: "' 0

20 20 w

w ...J > -

LL -

0 a:: C a::

n. >-

C <C15 15

0 m

0 I-::c...J

- LL C)C -...J

z 10 10 i-I-w I-w LL

�z

0

�5 5

w !., .J w

............

..... .....

... '*'...- >-

0 0 (J "' z ,�..,,,

w I''

(!) c( I-

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z c( w LL w

:E 0::w ... c(

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LEGEND c( I- wz

z I-

0.2% ANNUAL CHANCE FLOOD * c(

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-- - - -- 1% ANNUAL CHANCE FLOOD (J 0 ll.

z 0 0::

2% ANNUAL CHANCE FLOOD * w 0 (!) (J -10 0::

�z

- - - - - - - 10%ANNUAL CHANCEFLOOD* w C :E

STREAM BED m z � w

c( .J

CROSS SECTION LOCATION �w

C w

0 1,000 2,000 3,000 4,000 5,000 6,000 7,000 8,000 9,000 10,000 11,000 12,000 13,000 LL

STREAM DISTANCE IN FEET ABOVE CONFLUENCE WITH EAGLE DRIVE CREEK * DATA NOT AVAILABLE 75P

shelly.brooks
Text Box
shelly.brooks
Text Box
shelly.brooks
Text Box
shelly.brooks
Line
shelly.brooks
Line

76PSTREAM DISTANCE IN FEET BELOW COUNTY ROAD 2321

BAY

CO

UN

TY, F

LU

NN

AMED

TR

IBU

TAR

Y 1

ELEV

ATIO

N IN

FEE

T (N

AVD

)

FED

ERAL

EM

ERG

ENC

Y M

ANAG

EMEN

T AG

ENC

YFL

OO

D P

RO

FILE

S

AND

INC

OR

POR

ATED

AR

EAS

LEGEND

0.2% ANNUAL CHANCE FLOOD*

1% ANNUAL CHANCE FLOOD

STREAM BED

CROSS SECTION LOCATION

10% ANNUAL CHANCE FLOOD*

2% ANNUAL CHANCE FLOOD*

-1800 -1600 -1400 -1200 -1000 -800 -600 -400 -200 0 200 800400 600

5

10

15

20

25

30

35

40

45

10

15

20

25

30

35

40

45

105

110

115 115

120 120

125 125

130 130

135 135

140 140

145 145

150 150

0 400 800 1,200 1,600 2,000 2,400 2,800 3,200 3,600 4,000 4,400 4,800 5,200

ELEV

ATIO

N IN

FEE

T (N

AVD

88)

STREAM DISTANCE IN FEET ABOVE CONFLUENCE WITH BEAR CREEK

FEDE

RAL

EME R

GENC

Y M

A NAG

EMEN

T AG

ENC Y

B AY

C OUN

TY, F

LAN

D IN

COR P

ORAT

ED A

R EAS

F LOO

D PR

O FIL

ES

UNNA

MED

TRI

BUT A

RY 1

TO

B EAR

CRE

EK

77P

A B C D

E

F G H

I

J

K

L

M N O

CONF

LUEN

C E W

ITH

BEAR

CR E

EK

PINE

CRES

T R O

AD

D IRT

ROA

D

PINE

RID

GE R

OAD

LEGEND0.2% ANNUAL CHANCE FLOOD

1% ANNUAL CHANCE FLOOD

2% ANNUAL CHANCE FLOOD

10% ANNUAL CHANCE FLOOD

STREAM BED

CROSS SECTION LOCATION

FROM BEAR CREEK1% ANNUAL CHANCE BACKWATER

C ONF

LUE N

CE O

F UN

NAM

ED T

RIB U

TARY

2TO

BEA

R CR

EEK

C ULV

ERT

C ULV

ERT

130

135

140 140

145 145

150 150

155 155

160 160

165 165

170 170

175 175

5,200 5,600 6,000 6,400 6,800 7,200 7,600 8,000 8,400 8,800 9,200 9,600 10,000 10,400

ELEV

ATIO

N IN

FEE

T (N

AVD

88)

STREAM DISTANCE IN FEET ABOVE CONFLUENCE WITH BEAR CREEK

FEDE

RAL

EME R

GENC

Y M

A NAG

EMEN

T AG

ENC Y

B AY

C OUN

TY, F

LAN

D IN

COR P

ORAT

ED A

R EAS

F LOO

D PR

O FIL

ES

UNNA

MED

TRI

BUT A

RY 1

TO

B EAR

CRE

EK

78P

P Q R

LIM

IT O

F DE

TAIL

E D S

TUD Y

LEGEND0.2% ANNUAL CHANCE FLOOD

1% ANNUAL CHANCE FLOOD

2% ANNUAL CHANCE FLOOD

10% ANNUAL CHANCE FLOOD

STREAM BED

CROSS SECTION LOCATION

115

120

125 125

130 130

135 135

140 140

145 145

150 150

155 155

160 160

0 400 800 1,200 1,600 2,000 2,400 2,800 3,200 3,600 4,000 4,400 4,800 5,200

ELEV

ATIO

N IN

FEE

T (N

AVD

88)

STREAM DISTANCE IN FEET ABOVE CONFLUENCE WITH UNNAMED TRIBUTARY 1 TO BEAR CREEK

FEDE

RAL

EME R

GENC

Y M

A NAG

EMEN

T AG

ENC Y

B AY

C OUN

TY, F

LAN

D IN

COR P

ORAT

ED A

R EAS

F LOO

D PR

O FIL

ES

UNNA

MED

TRI

BUT A

RY 2

TO

B EAR

CRE

EK

79P

A B C D

CONF

LUEN

CE W

ITH

L IM

IT O

F DE

TAIL

E D S

TUD Y

LEGEND0.2% ANNUAL CHANCE FLOOD

1% ANNUAL CHANCE FLOOD

2% ANNUAL CHANCE FLOOD

10% ANNUAL CHANCE FLOOD

STREAM BED

CROSS SECTION LOCATION

UNNA

ME D

TRI

BUTA

RY 1

TO

BEA R

CRE

EK

125

130

135 135

140 140

145 145

150 150

155 155

160 160

165 165

170 170

0 200 400 600 800 1,000 1,200 1,400 1,600 1,800 2,000 2,200 2,400 2,600

ELEV

ATIO

N IN

FEE

T (N

AVD

88)

STREAM DISTANCE IN FEET ABOVE CONFLUENCE WITH ECONFINA CREEK (FROM COUNTY BOUNDARY)

FEDE

RAL

EME R

GENC

Y M

A NAG

EMEN

T AG

ENC Y

B AY

C OUN

TY, F

LAN

D IN

COR P

ORAT

ED A

R EAS

F LOO

D PR

O FIL

ES

UNNA

MED

TRI

BUTA

RY T

O EC

ONFI

NA C

REE K

80P

A

CONF

L UEN

CE W

ITH

ECON

FINA

CRE

EK

L IM

IT O

F DE

TAIL

E D S

TUD Y

LEGEND0.2% ANNUAL CHANCE FLOOD

1% ANNUAL CHANCE FLOOD

2% ANNUAL CHANCE FLOOD

10% ANNUAL CHANCE FLOOD

STREAM BED

CROSS SECTION LOCATION

COUN

TY B

OUN D

ARY

(FRO

M C

O UNT

Y BO

UNDA

R Y)

81P⊂⊄⊆∨⇒ ⇔√⊂⊄⇒∇⇐∨ √∇ ∧∨∨⊄ ⇒⇑∠⊃∨ ⇐∠∇∧⊇∨∇⇐∨ ∪√⊄⋅ ∇∠⊆⊄⋅ ⇑⇒∅

∨¬∨∇⇔

⟩ ⇒∇∇⊇⇒ ⇐⋅⇒∇⇐∨ ∧∠∠⇔ ⌡

⇒∇∇⊇⇒ ⇐⋅⇒∇⇐∨ ∧∠∠⇔

⊂⊄⊆∨⇒ ⇑∨⇔

⇐⊆∠⊂⊂ ⊂∨⇐⊄√∠∇ ∠⇐⇒⊄√∠∇

⇒∇∇⊇⇒ ⇐⋅⇒∇⇐∨ ∧∠∠⇔ ⌡

⇒∇∇⊇⇒ ⇐⋅⇒∇⇐∨ ∧∠∠⇔ ⌡

⌠ ⌠ ⌠ ⌠ ⌠ ⌠ ⌠ ⌠ ⌠ ⌠ ⌠ ⌠⌠ ⌠∫

⌡ ⇔⇒⊄⇒ ∇∠⊄ ⇒⊃⇒√⇒⇑∨

82P⊂⊄⊆∨⇒ ⇔√⊂⊄⇒∇⇐∨ √∇ ∧∨∨⊄ ⇒⇑∠⊃∨ ⇐∠∇∧⊇∨∇⇐∨ ∪√⊄⋅ ∇∠⊆⊄⋅ ⇑⇒∅

∨¬∨∇⇔

⟩ ⇒∇∇⊇⇒ ⇐⋅⇒∇⇐∨ ∧∠∠⇔ ⌡

⇒∇∇⊇⇒ ⇐⋅⇒∇⇐∨ ∧∠∠⇔

⊂⊄⊆∨⇒ ⇑∨⇔

⇐⊆∠⊂⊂ ⊂∨⇐⊄√∠∇ ∠⇐⇒⊄√∠∇

⇒∇∇⊇⇒ ⇐⋅⇒∇⇐∨ ∧∠∠⇔ ⌡

⇒∇∇⊇⇒ ⇐⋅⇒∇⇐∨ ∧∠∠⇔ ⌡

⌠ ⌠ ⌠ ⌠ ⌠ ⌠ ⌠ ⌠ ⌠ ⌠ ⌠ ⌠⌠ ⌠

⌡ ⇔⇒⊄⇒ ∇∠⊄ ⇒⊃⇒√⇒⇑∨