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STATISTICAL  STUDIES  OF 
WORLD-WIDE   SECCHI   DATA 


Gerald   Lee  York 


DUDLEY  KNOX  «-«BR^ 
NAVAL  POSTGRADUATE  S-HOO. 

S££r.  ca"~rn,a  9394° 


NPS-58TX7lt031 


rUolbK 
Monterey,  Californi 


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""                                                   — 

STATISTICAL    STUDIFS   OF 

WORLD-WIDE    SFCCHI    DATA 

by 

Gerald  Lee  York 

March  19 lh 

Thesis   Advisor:                                            S. 

P. 

Tucker 

Prepared  for: 

Office  of  Naval  Research 

Code  U80D 

Arlington,  Virginia     22217 


T 161502 


Appiovzd  ^on.  public  A.c£eoie;  dli>t/uhixtion  antimiX.zd. 


Statistical  Studies  of 
World-Wide  Secchi  Data 


by 


Gerald  Lee  ,York 
Lieutenant,  United  States  Navy 
B.S.,  in  Animal  Husbandry,  Southern  Illinois  University,  1967 


Submitted  in  partial  fulfillment  of  the 
requirements  for  the  degree  of 


MASTER  OF  SCIFNCE  IN  OCFANOGPAPHY 


from  the 

NAVAL  POSTGRADUATE  SGHOOL 
March  1974 


YS2 


NAVAL  POSTGRADUATE  SCHOOL 
Monterey,  California 

Rear  Admiral  Mason  Freeman  Jack  R.  Borsting 

Superintendent  Provost 


This  thesis  is  prepared  in  conjunction  with  research  supported  in  part 
by  the  Office  of  Naval  Research  under  Project  Order  No.  POh-0121. 

Reproduction  of  all  or  part  of  this  report  is  authorized. 


Released  as  a 
Technical  Report  by: 


ABSTRACT 

An  investigation  was  made  to  determine  possible  correla- 
tions between  Secchi  depths  and  other  simultaneously  measured 
oceanographic  parameters  which  were  on  file  at  the  National 
Oceanographic  Data  Center  as  of  March  1972.   Sixty-three  one- 
degree  sub-squares  occurring  in  Japanese  and  Korean  waters 
and  eleven  Atlantic  and  Pacific  open  ocean  areas  were  chosen 
for  linear  correlation  analysis  using  both  sea  surface  data 
and  mean  values  of  some  fourteen  different  oceanographic 
parameters  averaged  over  the  Secchi  depth.   In  particular, 
oxygen  measurements  exhibited  trends  toward  an  inverse  pro- 
portionality with  Secchi  depth  while  temperature  indicated  a 
possible  direct  proportionality. 

Time  series  analyses  of  Secchi  depths  were  performed  and 
compared  with  upwelling  indices  computed  for  the  Oregon' coast 
and  near  Monterey  Bay,  California.   An  inverse  proportionality 
and  possible  phase  lag  of  mean  Secchi  depth  compared  to 
monthly  upwelling  index  was  observed.   Multiple  regression 
equations  relating  Secchi  depth  and  upwelling  index  were 
calculated  for  both  locations. 


TABLE  OF  CONTENTS 

I.  INTRODUCTION   - 11 

A.  GENERAL  11 

B.  BACKGROUND  ON  THE  SECCHI  DISC 13 

C.  PURPOSE  OF  INVESTIGATION  19 

II.  METHODS  OF  INVESTIGATION  21 

A.  DEVELOPMENT  AND  DESCRIPTION  OF 

THE  CORRELATION  COEFFICIENT  --- 21 

1.  Variance  and  Covariance  21 

2.  Correlation  Coefficient  22 

B.  METHOD  USED  IN  OBTAINING 

CORRELATION  COEFFICIENTS  22 

1.  Biomedical  Computer  System 

Program  (BIOMED)  22 

2.  BIOMED  02D  (Correlation  with 
Transgeneration)  23 

III.  ANALYSIS  OF  DATA   24 

A.  GENERAL 24 

B.  LINEAR  CORRELATION  ANALYSIS  '  25 

1.  Japanese  and  Korean  Waters  25 

a.  Correlations  Using  Sea  Surface 
Chemistry  Values  25 

b.  Correlations  Using  Mean 

Chemistry  Values  26 

2.  Open  Ocean  Areas  26 

C.  TIME  SERIES  ANALYSIS  .----_ _--  27 


IV.    DISCUSSION  OF  RESULTS 29 

A.  LINEAR  CORRELATION  COEFFICIENTS  USING 

SEA  SURFACE  CHEMISTRY  VALUES  2  9 

1.  Japanese  and  Korean  Waters --  2P 

a.  Color  30 

b.  Bottom  Depth 31 

c.  Temperature  31 

d.  Salinity  32 

e.  Sigma-t  32 

£.   Oxygen  3  3 

g.   Silicate  33 

2.  Open  Ocean  Areas  , 33 

a.  Atlantic  Ocean  34 

b.  Pacific  Ocean  34 

B.  LINEAR  CORRELATION  COEFFICIENTS  USING 

MEAN  CHEMISTRY  VALUES  35 

C.  TIME  SERIES  ANALYSIS  35 

1.  Oregon  Coast  36 

2.  Monterey  Bay  


a.   Relationship  Between  Secchi 
Depth  and  Upwelling  Index  - 


40 
40 


Relationship  Between  Phytoplankton 
Wet  Volume  and  Upwelling  Index  


42 


V.     SUMMARY  AND  CONCLUSIONS  44 

47 


VI.    PROPOSED  FUTURE  RESEARCH  

AVERAGING  PROGRAM  

SAMPLE  BIOMED02D  OUTPUT 
TIME  SERIES  ANALYSIS  -- 


APPENDIX  A 
APPENDIX  B 
APPENDIX  C 


136 
138 
139 


BIBLIOGRAPHY  141 

INITIAL  DISTRIBUTION  LIST  - 144 

FORM  DD  1473 148 


LIST  OF  TABLES 

I.  Surface  Data  Distribution  by  Marsden  Sub-Square  --  49 

II.  Parameter  Means  by  Marsden  Sub-Square  54 

III.  Linear  Correlation  Coefficients  by 

Marsden  Sub-Square  61 

IV.  Data  Density  Code  Used  in  Figures  5-19  65 

V.  Open  Ocean  Area  Delineations 66 

VI.  Surface  Data  Distribution  by  Open  Ocean  Area  67 

VII.  Parameter  Means  by  Open  Ocean  Area  68 

VIII.  Linear  Correlation  Coefficients  by 


Open  Ocean  Area 


70 


IX.  Parameter  Means  by  Marsden  Sub-Square  Using 

Values  Averaged  to  the  Secchi  Depth  '1 

X.  Linear  Correlation  Coefficients  by  Marsden  Sub- 

Square  Using  Values  Averaged  to  the  Secchi 

Depth  73 

XI.  Parameter  Means  by  Open  Ocean  Area  Using 

Values  Averaged  to  the  Secchi  Depth  '^ 

XII.  Linear  Correlation  Coefficients  by  Open  Ocean 

Area  Using  Values  Averaged  to  the  Secchi 

Depth  75 

XIII.  Regression  Analysis  Results  (Oregon  Coast)  '° 

7  7 

XIV.  Regression  Analysis  Results  (Monterey  Bay) ' 


LIST  OF  FIGURES 


1A    Marsden  Square  Chart  Showing  Open  Ocean 

Areas  Studied  in  the  Atlantic  - 78 

IB    Marsden  Square  Chart  Showing  Open  Ocean 

Areas  Studied  in  the  Pacific  79 

2     One  Degree  Sub-square  Numbering  System  80 

3A    One  Degree  Sub-square  Delineation  Chart  for 

Korean  Waters  81 

3B    One  Degree  Sub-Square  Delineation  Chart  for 

Japanese  Waters  82 

4A-4N  Correlation  Coefficient  Graphs  -  Western 

Pacific  83-96 

5-7    Color  Plotted  as  a  Function  of  Secchi  Depth  97-99 

8-9    Bottom  Depth  Plotted  as  a  Function  of  Secchi 

Depth 100-in 

10-12  Surface  Temperature  Plotted  as  a  Function 

of  Secchi  Depth  102-104 

13-14  Surface  Salinity  Plotted  as  a  Function  of 

Secchi  Depth  105-106 

15-16  Surface  Sigma-t  Plotted  as  a  Function  of 

Secchi  Depth 107-108 

17-18  Surface  Oxygen  Plotted  as  a  Function  of 

Secchi  Depth  109-110 

19    Surface  Silicate  Plotted  as  a  Function  of 

Secchi  Depth  ll1 

20A   Correlation  Coefficient  Graph  -  Atlantic 

Ocean  --  ^' 

20B-20C  Correlation  Coefficient  Graphs  -  Pacific 

Ocean 112-114 

21  Points  for  Which  Upwelling  Indices  were 

Computed  by  Bakun  (1973)  -  115 

22  Secchi  Depth  and  Upwelling  Index  vs.  Month 

of  Year  for  the  Oregon  Coast  -  1961  - 116 


7 


23  Secchi  Depth  and  Upwelling  Index  vs.  Month 

of  Year  for  the  Oregon  Coast  -  1962  117 

24  Secchi  Depth  vs.  Upwelling  Index  for  the 

Oregon  Coast  -  1961  118 

25  Secchi  Depth  vs.  Upwelling  Index  for  the 

Oregon  Coast  -  1962  119 

26  Secchi  Depth  vs.  Upwelling  Index  for  the 

Oregon  Coast  1961  -  1962  120 

2  7    Monterey  Bay,  Showing  Locations  of  CalCOFI 
Stations  Occupied  by  Hopkins  Marine 
Station  of  Stanford  University  121 

28  Secchi  Depth  and  Upwelling  Index  vs.  Month  of 

Year  for  Monterey  Bay  Station  3  -  1970  122 

29  Secchi  Depth  and  Upwelling  Index  vs.  Month  of 

Year  for  Monterey  Bay  Station  3  -  1971  123 

30  Secchi  Depth  and  Upwelling  Index  vs.  Month  of 

Year  for  Monterey  Bay  Station  3  -  1972  124 

31  Secchi  Depth  and  Upwelling  Index  vs.  Month  of 

Year  for  Monterey  Bay  Statoin  3  -  1973  125 

32  Secchi  Depth  and  Upwelling  Index  vs.  Month  of 

Year  for  Monterey  Bay  Station  4  -  1971  126 

33  Secchi  Depth  and  Upwelling  Index  vs.  Quarter  of 

Year  for  Monterey  Bay  Station  3  1970-1972  127 

34  Secchi  Depth  vs.  Upwelling  Index  for  Monterey 

Bay  Station  3  -  1970  128 

35  Secchi  Depth  vs.  Upwelling  Index  for  Monterey 

Bay  Station  3  -  1971  129 

36  Secchi  Depth  vs.  Upwelling  Index  for  Monterey 

Bay  Station  3  -  1972  130 

37  Secchi  Depth  vs.  Upwelling  Index  for  Monterey 

Bay  Station  3  -  1973  131 

38  Secchi  Depth  vs.  Upwelling  Index  for  Monterey 

Bay  Station  4  -  1971  132 

39  Secchi  Depth  vs.  Upwelling  Index  for  Monterey 

Bay  Stations  3  and  4  1970-1973  133 


40  Secchi  Depth  vs.  Upwelling  Index  for  the 

Oregon  Coast  1961-1962  and  Monterey- 
Bay  Stations  3  and  4  1970-1973  -- --  134 

41  Phytoplankton  Wet  Volume  vs.  Upwelling 

Index  for  Monterey  Bay  1956-1967  135 


ACKNOWLEDGEMENTS 

I  would  like  to  express  my  appreciation  to  my  thesis 
advisor,  Professor  Stevens  P.  Tucker,  Department  of  Ocean- 
ography, without  whose  dedicated  interest,  patience,  and 
enthusiasm,  this  project  could  not  have  come  to  successful 
completion.   I  would  also  like  to  thank  Professor  Robert  S. 
Andrews  for  suggestions  during  the  final  stages  of  this 
study.   I  am  also  indebted  to  Henry  Odum  of  the  National 
Oceanographic  Data  Center  for  providing  the  data  tapes  which 
were  funded  by  the  Office  of  Naval  Research  (Arlington,  Va , ) 
and  to  David  Norman  of  the  Postgraduate  School  Computer 
Center  for  his  assistance  in  adapting  the  data  tapes  for 
use  on  the  computer.   Lastly,  I  would  like  to  thank  David 
Bracher  of  Hopkins  Marine  Station  and  Andrew  Bakun  of  the 
National  Marine  Fishery  Services  of  Monterey  for  supplying 
additional  data  used  in  this  study. 


10 


I.   INTRODUCTION 

A.   GENERAL 

Optics,  considered  as  a  special  branch  of  oceanography, 
has  been  the  subject  of  renewed  interest  among  oceanographers 
during  the  past  few  years.   Solar  radiation  serves  as  the 
source  of  energy  for  the  oceans,  supplying  them  with  heat 
and  supporting  their  ecology  through  photosynthesis.   Light 
is  important  for  nekton  and  zooplankton  of  the  ocean  in 
finding  their  food  and  evading  attack.   Daylight  and  arti- 
ficial lighting  are  also  important  for  underwater  viewing. 
And  light  may  be  used  on  occasion  as  an  effective  probe  to 
resolve  otherwise  ambiguous  measurements  in  physical 
oceanography. 

Several  applications  of  light  to  the  study  of  the  oceans 
have  been  noted.  Tyler  and  Preisendorf er  (1963)  have  class- 
ified these  under  three  broad  areas,  including, 

(1)  Descriptive  oceanography  and  other  geophysical 
applications ; 

(2)  Photosynthesis  and  other  biological  phenomena;  and 

(3)  Image-recording  equipment. 

Duntley  (1965)  speculated  on  the  possibility  of  conduc- 
ting oceanographic  studies  by  human  observers  in  a  Manned 
Orbital  Research  Laboratory  (MORL) .   Among  the  potentialities 
discussed  were  the  determination  of  sea  state  and  surface 
wind  velocity  by  means  of  visible  light.   He  explained  that 
the  shape  and  size  of  the  glitter  pattern  due  to  the 


11 


reflection  of  the  sun  by  the  surface  of  the  sea  is  inter- 
pretable  in  terms  of  surface  wind  velocity,  and  that  spatial- 
ly averaged  "inherent" radiance*  of  the  ocean  varies  in  a 
known  way  with  sea  state. 

The  above  potentialities  have  been  achieved  to  a  limited 
extent  in  recent  years  by  the  use  of  satellites  such  as  Sky- 
lab  and  ERTS-1.   Petri  and  Starry  (1973)  have  also  estab- 
lished the  feasibility  of  remotely  measuring  wind  magnitude 
and  direction  in  a  real  environment  by  the  use  of  pulsed 
laser  systems. 

Growing  attention  has  been  attracted  to  the  possibility 
of  characterizing  water  masses  by  means  of  their  optical 
properties  (Jerlov,  1968).   For  example,  Pak  and  Zaneveld 
(1973)  traced  the  Cromwell  Current  to  the  east  of  the  Gal- 
apagos Archipelago  using  optical  techniques. 

Among  important  applications  of  optical  oceanography, 
one  of  the  most  important  is  in  the  field  of  marine  biology. 
The  physics  of  radiant  energy  is  of  direct  importance  for 
evaluating  the  photosynthetic  activity  in  the  sea.   Optical 
measurements  have  served  as  a  valuable  aid  in  locating  areas 
of  high  biological  production  and  potential  fishing  grounds. 
Duntley  (1965)  has  pointed  out  that  multi-spectral  photo- 
graphy conducted  from  an  MORL  should  enable  a  quantitative 
assay  of  chlorophyll  in  sea  water,  and  that  other  biological 
features  of  the  ocean,    for  example,  the  occurrence  and 


Radiance  is  flux  per  unit  projected  area  per  unit  solid 
angle  in  a  specified  direction. 


12 


distribution  of  red  tide,  should  be  observable  under  clear 
■weather  conditions.   Clarke,  et  al.  (1970)  have  shown  that 
spectral  measurements  of  backscattered  light  can  be  used  to 
determine  the  abundance  of  chlorophyll  as  well  as  to  trace 
currents,  pollutants,  or  other  significant  materials  in  the 
water . 

The  work  of  Duntley  (1952)  emphasized  the  importance  of 
underwater  lighting  for  vision,  television,  and  photography. 
He  explained  the  importance  of  quantitative  prediction  of 
the  irradiation  produced  at  the  object,  on  its  background 
and  throughout  the  observer's  path  of  sight  by  incondescent 
lamps  or  flash  tubes.   This  can  enable  optimum  lighting 
arrangements  and  camera  positions  to  be  planned  in  advance 
and  exposure  to  be  predicted  with  sufficient  accuracy  to 
permit  high-contrast  photographic  techniques  to  be  employed 
effectively.   Duntley  (1971)  explained  that  the  greatest  hope 
for  truly  long  range  underwater  imagery  is  by  means  of 
pulsed  lasers  and  gated  electro-optical  cameras. 

Scatterance  and  beam  transmittance  meters  are  commonly 
used  in  the  field  of  pollution  research.   Another  frequently 
employed  measurement  scheme  involves  the  use  of  fluorescent 
dyes  as  tracers  in  order  to  study  diffusion  in  the  sea. 

B.   BACKGROUND  ON  THE  SECCHI  DISC 

The  Secchi  disc  is  one  of  the  most  widely  used  devices 
for  measuring  ocean  water  transparency.   The  disc  was  first 
mentioned  in  a  published  report  by  Commander  Cialdi  in  1865 
and  recently  translated  into  English  by  Collier  (1968) . 


13 


Cialdi's  report  contained  a  scientific  diary  by  Professor 
Secchi  in  which  the  factors  affecting  the  visibility  of  a 
disc  when  lowered  vertically  in  the  sea  were  examined.   These 
factors  included  disc  color,  solar  altitude,  sea  surface 
reflections  and  refractions,  ship's  shadow,  sky  clearness, 
water  color,  disc  diameter,  and  the  height  of  the  viewer  above 
the  water  surface.   Secchi  observed  an  increase  in  depth  at 
which  the  disc  disappeared  from  sight  associated  with 
increased  disc  whiteness,  solar  altitude,  sky  clearness, 
and  disc  diameter.   He  noted  that  image  dissection  by  surface 
refraction  caused  the  visibility  of  the  disc  to  decrease, 
and  that  the  ship's  underwater  shadow  also  influenced  its 
visibility.   He  also  demonstrated  the  detrimental  effect  of 
surface  reflections  on  the  measurement  and  recommended  a 
wide  shadow  over  the  place  where  the  observations  were  being 
made. 

Secchi' s  work  established  the  experimental  procedure 
for  obtaining  transparency  with  a  Secchi  disc,  and  in  the 
years  following  his  work,  the  Secchi  disc  became  a  widely 
used  oceanographic  tool.   However,  Tyler  (1968)  noted  that 
it  was  never  really  standardized.   That  is  to  say,  it  was 
used  widely  because  of  its  simplicity,  but  its  physical 
properties  were  never  fully  specified.   Holmes  (1970)  also 
noted  that  both  disc  diameter  and  reflectance  have  never  been 
standardized  or  specified.   Postma  (1961)  observed  the 


14 


X 


following  limitations  of  Secchi  disc  measurements  compared 
to  measurements  carried  out  by  submersible  K_-meters: 

(1)  Secchi  measurements  can  only  give  information  on 

the  extinction  in  surface  waters  and  they  can  only  be  carried 
out  in  daylight  of  sufficient  brightness,  whereas  irradiance 
measurements  can  be  performed  to  somewhat  greater  depths. 

(2)  When  using  a  Secchi  disc  no  continuous  registration 
is  possible,  nor  are  determinations  at  various  wavelengths, 
whereas  the  use  of  appropriate  filters  in  a  K_-meter  allows 
recording  continuously  with  depth. 

(3)  Finally,  the  result  of  a  measurement  with  a  Secchi 
disc  depends  upon  the  visual  acuity  of  the  observer  and  on 
the  daylight  illumination  and  reflection  from  the  sea's 
surface,  which  is  not  the  case  with  a  K_-meter. 

Because  of  these  limitations  and  difficulties  it  might 
appear  that  Secchi  measurements  are  of  no  great  importance. 
On  the  contrary,  they  can  give  valuable  results  as  will  be 
shown  below.  The  Secchi  disc  has  been  widely  used  because 
of  its  low  cost  and  convenience,  and  considerable  research 
has  been  devoted  to  its  utility  as  a  practical  instrument 
for  measuring  water  transparency. 

Secchi  depth  measurements  have  been  especially  useful  to 
marine  biologists,  who  have  established  practical  relation- 


* 

K_  is  the  diffuse  attenuation  coefficient,  a  measure 
of  the  exponential  attenuation  of  downwelling  irradience  in 
the  sea.   Biologists  often  use  the  term  "vertical  extinction 
coefficient"  to  denote  K  .   It  is  not  to  be  confused  with 
the  beam  attenuation  coefficient  ("c"  or  "«*")  ,  a  measure  of 
the  total  attenuation  of  a  collimated  light  beam  through  a 
fixed  path  length. 

15 


ships  between  Secchi  depths  and  vertical  extinction  coef- 
ficients.  Holmes  (1970)  mentioned  that  it  is  common  prac- 
tice for  biologists  interested  in  primary  production  to 
consider  the  bottom  depth  of  the  euphotic  zone   to  be  equal 
to  three  times  the  Secchi  depth.   An  inverse  relation  between 
the  amount  of  phytoplankton  and  the  visual  range  of  the 
Secchi  disc  has  been  observed  by  Atkins,  Jenkins,  and  Warren 
(1954),  Arsen'yev  and  Voytov  (1968),  Voytov  and  Dement'yeva 
(1970),  and  others.   From  data  collected  in  the  English 
Channel,  Poole  and  Atkins  (1929)  developed  a  widely  used 
empirical  formula  for  approximating  extinction  coefficients: 

K_  =  1.7/ZS 

where  K   is  the  vertical  extinction  coefficient  and  Z   is  the 
—  s 

Secchi  depth  in  meters.   Murphy  (1959)  established  a  positive 
correlation  between  albacore  troll  catches  and  water  clarity. 
He  asserted  that  the  Poole-Atkins  relation  can  be  used  to 
approximate  closely  the  horizontal  visual  range  of  albacore. 
The  Poole-Atkins  relation  has  also  served  as  an  aid  in  the 
investigation  of  primary  organic  productivity  as  demonstrated 
by  Ryther  and  Yentsch  (1957)  .   Holmes  (1970)  investigated 
transparencies  in  Goleta  Bay  and  suggested  that  for  turbid 
water  1.44  is  probably  a  more  appropriate  factor  than  1.7 
in  the  equation  above  in  estimating  extinction  coefficients 
from  Secchi  depths.   He  also  suggested  that  the  relation  between 


Roughly  the  depth  at  which  the  downwelling  irradiance 
(K  )  has  decreased  to  1%    of  its  value  at  the  surface. 


16 


Secchi  depth  and  the  \%    optical  depth  merits  additional 
study  to  incorporate  a  wide  range  of  Secchi  depths. 

Visser  (1967)  examined  Secchi  and  seawater  color  obser- 
vations from  the  North  Atlantic  Ocean  and  developed  the 
following  empirical  relation  relating  Secchi  depth  and 
yellow  content  of  seawater: 

iy^-  =  0.26Y  +  1.9 

where  Z   is  Secchi  depth  in  meters  and  Y  is  the  percentage 
yellow  calculated  from  the  Forel  color  scale.   However,  he 
cautioned  that  the  relation  was  valid  only  for  the  particular 
ocean  area  investigated.   Frederick  (1970)  examined  possible 
similar  relations  between  Secchi  disc  observations  and  color 
codes  for  other  ocean  areas  based  on  Visser's  findings. 
Much  variability  was  found  to  exist,  and  no  simple  empirical 
relation  could  be  determined.   Brown  (1973)  observed  a 
similar  pattern  in  relating  Secchi  depth  and  Forel  color 
code  as  reported  by  Visser.   Although  he  observed  the  same 
trend,  no  universal  numerical  relationship  valid  for  all 
oceans  was  found. 

Graham  (1966)  determined  relationships  between  diffuse 
attenuation  coefficients  (K_)  ,  reciprocals  of  Secchi  disc 
readings,  and  color  observations  from  data  collected  in  the 
central  and  eastern  North  Pacific  Ocean.   He  concluded  that 
the  Secchi  disc  is  a  useful  tool,  but  that  caution  should  be 
observed  when  extrapolating  the  relationship  between  Secchi 


17 


disc  measurements  and  extinction  coefficients  from  one 
oceanic  environment  to  another. 

Postma  (1961)  investigated  the  relation  between  Secchi 
depth  measurements  and  suspended  matter  both  experimentally 
in  the  laboratory  and  in  the  coastal  waters  of  the  Nether- 
lands.  He  concluded  that  Secchi  disc  measurements  are  a 
valuable  source  for  additional  information  concerning  prop- 
erties of  suspended  matter.   Estimates  based  on  the  empirical 
relationships  between  diffuse  attenuation  coefficients  (K__) 
and  amount  of  suspended  matter  per  unit  volume  of  sea  water 
and  Secchi  depth  discussed  above  are  usually  strictly  valid 
only  in  one  particular  oceanic  region  and  are  not  generally 
useful  elsewhere.   Although  these  estimates  may  have  rela- 
tively large  standard  errors  associated  with  them,  they  may 
be  acceptable  for  certain  types  of  work,  such  as  in  some 
areas  of  marine  biology,  where  a  high  degree  of  precision 
and  accuracy  is  not  always  required,  or  in  marine  geology, 
where  gross  measures  of  sediment  transport  are  desired. 

In  developing  practical  relationships  between  Secchi 
depth  and  other  oceanographic  parameters,  correlation 
coefficient  analysis  is  considered  to  be  a  useful  starting 
point.   Brown  (1973)  conducted  such  an  analysis  on  a  world- 
wide basis  using  sea  surface  data.   Because  mid-oceanic 
data  were  sparse,  nearly  all  areas  analyzed  were  coastal 
areas  subject  to  localized  effects  such  as  fresh  water  run- 
off and  upwelling.   With  these  limitations,  no  simple  and 
consistent  relations  between  Secchi  depth  and  other 


18 


parameters  were  evident;  however,  several  trends  were  noted. 
He  found  that  oxygen  measurements  exhibited  trends  toward  an 
inverse  proportionality  with  Secchi  depth,  while  bottom  depth 
data  indicated  a  possible  direct  proportionality.  He  also 
observed  that  lower  salinity  water  and  high  amounts  of  sili- 
cate were  associated  with  decreased  transparency  in  coastal 
areas  subject  to  fresh  water  runoff. 

C.   PURPOSE  OF  INVESTIGATION 

In  view  of  the  studies  discussed  above  it  was  proposed 
to  continue  the  search  begun  by  Brown  (1973)  for  possible 
correlations  between  Secchi  depths  and  other  simultaneously 
measured  oceanographic  parameters  in  areas  of  high  data 
density.   Areas  as  small  as  one  degree  latitude  by  one  degree 
longitude  were  chosen  to  avoid  unnecessary  averaging  of 
data  from  varying  water  types  and  differing  coastal  influences 
but  at  the  same  time  to  maintain  a  high  data  density,  insur- 
ing a  fairly  representative  analysis. 

Open  ocean  areas  having  no  coastal-type  influences,  such 
as  from  fresh  water  runoff  and  upwelling,  were  also  to  be 
examined,  since  correlations  determined  for  such  areas  might 
yield  results  which  could  be  simply  and  accurately  extrapo- 
lated to  similar  ocean  areas.   Resulting  correlations  from 
coastal  and  open  ocean  areas  were  then  to  be  compared  and 
consistent  trends  were  to  be  noted. 

Furthermore,  it  was  proposed  to  compare  correlations 
between 'Secchi  depths  and  sea  surface  data  and  those  be- 
tween Secchi  depth  and  mean  values  of  oceanographic  parameters 


19 


averaged  over  the  Secchi  depth.   This  was  to  determine  the 
validity  of  the  use  of  sea  surface  measurements  conducted  in 
past  correlation  studies  of  this  nature  (Brown,  1973). 

In  addition,  monthly  and  yearly  time  series  analyses  of 
Secchi  depths  were  to  be  performed  and  compared  with  upwellinj 
indices  computed  from  historical  meteorological  data  by 
Bakun  (1973)  for  the  west  coast  of  North  America. 


20 


•  II.   METHODS  OF  INVESTIGATION 

A.   DEVELOPMENT  AND  DESCRIPTION  OF 
THE  CORRELATION  COEFFICIENT 

1 .   Variance  and  Covariance 

The  variance  and  covariance  are  necessary  in  the 

development  and  formulation  of  the  correlation  coefficient. 

A  brief  description  and  a  summary  of  these  statistical 

measures  are  provided  in  this  section  (Dixon  and  Massey, 

1957). 

The  variance,  a    ,  is  defined  as: 

1=1 

where  N  is  the  number  of  observations  X.  and  u  is  the  mean 

1   N  " 

of  the  Xif  y  =  ^  I      Xj[. 

The  variance  is  concerned  with  a  single  measured 
variable.   The  object  of  statistical  analysis  is  often 
directed  at  discovering  relationships  among  two  or  more 
variables.   The  simplest  way  of  determining  a  relationship 
between  two  variables  is  to  compute  their  covariance,  a 
measure  of  the  common  variance  between  two  variables.   This 
measure  is  hard  to  use  directly  but  is  very  important  in  the 
development  of  more  advanced  analysis.   The  covariance  be- 
tween X  and  Y,  with  arithmetic  means  u   and  u  ,  respectively, 

x      y 

is  given  as  : 


21 


2 .   Correlation  Coefficient 

To  put  the  variances  of  two  individual  variables 
and  their  covariance  into  a  meaningful  measure,  the  corre- 
lation coefficient  is  used.   This  statistic  ranges  from  -1 
to  +1,  where  +1  correlation  indicates  that  two  variables  are 
exactly  alike,  i.e.,  the  rate  of  change  in  both  is  propor- 
tional.  Zero  correlation  implies  statistical  independence 
or  the  absence  of  any  association.   Negative  correlation 
implies  opposite  association  with  one  another.   That  is  to 
say,  as  one  variable  increases  the  other  consistently 
decreases.   The  correlation  coefficient  is  defined: 

2   ,  ,  2   2  ,h 
Pij  =  a±.    I    (o±±o..) 

where  p..  is  the  correlation  between  the  i    and  j    vari- 

able,  a--  is  the  covariance  between  the  i    and  j    variable, 

and  a--  and  a.,  are  the  respective  variances. 
11      33  F 

B.   METHOD  USED  IN  OBTAINING  CORRELATION  COEFFICIENTS 
1 .   Biomedical  Computer  System  Program  (BIOMED) 
The  Biomedical  computer  system  programs  were 
developed  at  the  University  of  California  at  Los  Angeles 
(Dixon,  1973).   The  programs  were  initially  developed  to 
handle  extensive  analyses  of  large  amounts  of  data  in 
medical  research.   However,  they  are  written  in  such  a  way 
that  a  wide  variety  of  problems  may  be  handled  by  each  pro- 
gram by  specifying  the  appropriate  parameters  of  the  problem. 


22 


2 .   BIOMED  02D  (Correlation  with  Transgeneration) 

This  program  is  designed  to  provide  basic  descrip- 
tion and  tabulation  on  raw  data.   The  output  consists  of 
the  sums,  means,  and  sta-ndard  deviations  of  all  variables. 
In  addition  three  matrices  are  provided.   All  three  are 
square  and  symmetric  with  dimensions  equal  to  the  number  of 
variables.   The  first  and  second  matrices  are  the  cross- 
product  deviations  matrix  and  the  variance-covariance  matrix 
respectively.   The  third  matrix  is  the  correlation  matrix. 
The  diagonal  elements  show  the  correlation  of  variables 
with  themselves  and,  by  definition,  they  should  correlate 
perfectly.   Hence,  as  a  check  of  validity  of  the  correlation 
matrix,  the  diagonal  elements  should  all  be  1.0.   A  sample 
output  of  this  program  is  provided  in  Appendix  B. 

The  two  most  significant  features  of  this  program 
are  the  Boolean  selection  of  cases  on  input  and  the  cross- 
plotting  of  variables  on  output.   The  Boolean  selection 
enables  the  screening  of  cases  in  order  to  omit  those  of  no 
interest . 

The  cross-plotting  feature  enables  the  user  to  iden- 
tify a  base  variable  and  plot  other  variables  against  it  on 
individual  graphs.   Transgeneration  options  are  also  avail- 
able for  use  in  this  program. 


23 


III.   ANALYSIS  OF  DATA 

A.   GENERAL 

The  primary  oceanographic  data  used  in  this  study  were 
on  magnetic  tapes  obtained  from  the  National  Oceanographic 
Data  Center  (NODC) .   The  information  included  a  global 
coverage  to  March  1972  of  all  NODC  Secchi  data  plus  all  the 
other  station  data  collected  at  the  same  time  Secchi  measure 
ments  were  made,  including  all  chemistry  from  86,258  sta- 
tions.  Screening  of  data  to  simplify  computer  handling  was 
conducted  for  a  former  study  (Brown,  1973)  and  preserved  on 
tape.   The  data  used  in  the  present  study  consisted  of  the 
following : 

Secchi  depth 

Day 

Year 

Latitude 

Longitude 

Marsden  square 

Water  depth 

Forel  color 

Cloud  cover 

Month 

Water  temperature 

Salinity 

Sigma-t 

Oxygen 

Phosphate 

Phosphorus 

Nitrite 

Nitrate 

Silicate 

Only  those  chemistry  measurements  obtained  at  depths 

above  or  at  the  same  level  as  the  Secchi  depth  at  each 

station  were  employed.   Sample  pH,  although  available,  was 

not  used   in  this  study, 

24 


The  data  were  stored  on  disc  at  the  Naval  Postgraduate 
Computer  Center  for  analysis.   A  previous  inventory  of  the 
data  indicated  a  sparsity  of  open  ocean  data  and  an  abun- 
dance of  data  in  some  coastal  waters,  especially  off  Japan 
and  Korea. 

In  referring  to  the  geographical  areas  studied,  a  ten- 
degree  latitude  by  ten-degree  longitude  Harsden  square 
numbering  system  was  used.   Figures  1A  and  IB  show  the 
global  Marsden  square  coverage.   In  high  data  density  areas 
Marsden  squares  were  further  broken  down  into  one-degree 
sub-squares.   Figure  2  shows  the  one-degree  division  number- 
ing system  used. 

B.   LINEAR  CORRELATION  ANALYSIS 

1 .   Japanese  and  Korean  Waters 

a.   Correlations  Using  Sea  Surface  Chemistry  Values 
Due  to  the  great  relative  abundance  of  data  in 
Japanese  and  Korean  waters,  they  were  selected  for  initial 
analysis.   They  fall  within  Marsden  squares  130,  131,  and 
132,  which  were  broken  down  into  one-degree  subsquares. 
After  preparation  of  a  data  distribution  inventory,  the  63 
subsquares  indicated  in  Figures  3A  and  3B  were  chosen  for 
linear  correlation  analysis.   Coefficients  and  cross-plots 
were  then  obtained  using  Secchi  depth  measurements  as  a  base 
variable  against  latitude,  longitude,  water  depth,  Forel 
color,  cloud  cover,  month,  and  all  sea  surface  chemistry 
measurements . 


25 


b.   Correlations  Using  Mean  Chemistry  Values 
Upon  completion  of  the  initial  correlation 
analysis,  21  previously  chosen  subsquares  were  selected  for 
further  analysis.   Correlation  coefficients  and  cross-plots 
were  again  obtained  using  mean  values  of  parameters  averaged 
over  the  Secchi  depth  at  each  station.   Temperature,  salinity, 
sigma-t,  and  oxygen  were  selected  on  the  'basis  of  consistency 
of  correlations  and  data  density.   A  sample  program  used  for 
averaging  the  parameters  is  provided  in  Appendix  A.   Screen- 
ing was  necessary  in  both  analyses  to  eliminate  stations  with 
erroneous  or  questionable  data. 
2 .   Open  Ocean  Areas 

Although  open  ocean  data  were  limited,  11  areas  were 
selected  for  correlation  analysis.    These  included  six  areas 
in  the  Pacific  Ocean  and  five  areas  in  the  Atlantic  Ocean 
and  are  shown  in  Figures  1A  and  IB,  designated  by  an  area 
number.   As  can  be  seen  from  the  figures,  each  of  the  areas 
selected  in  the  Atlantic  Ocean  contains  several  Marsden 
squares.   It  was  necessary  to  use  more  than  one  square  in 
order  to  provide  enough  data  for  a  reasonably  representative 
analysis.   All  areas  were  selected  to  provide  a  sufficient 
data  base  and  to  minimize  coastal  influences  such  as  fresh 
water  runoff  and  upwelling.   Correlation  coefficient  analyses 
were  accomplished  using  both  surface  values  of  oceanographic 
parameters  and  the  mean  values  of  parameters  averaged  over 
the  Secchi  depth. 


The  boundaries  of  these  areas  are  given  in  Table  V. 


26 


C.   TIME  SERIES  ANALYSIS 

The  purpose  of  a  time  series  analysis  was  to  group  Secchi 
depths  by  month  and  year  and  to  compute  average  Secchi  depths 
by  month.   The  resulting  average  Secchi  depths  were  then 
compared  to  previously  computed  upwelling  indices  along  the 
west  coast  of  North  America.   Appendix  C  is  an  example  of 
the  type  of  Fortran  program  utilized  in  the  time  series 
analysis.   Coastal  upwelling  indices  were  obtained  from 
Bakun  (1973)  for  years  1946  through  1971.   In  addition  up- 
welling indices  were  obtained  for  years  1972  and  1973  (Bakun, 
1974).   Figure  21  shows  the  data  grid  and  intersections  at 
which  his  upwelling  indices  were  computed. 

Bakun 's  monthly  indices  were  based  on  offshore  Eckman 
transport  calculated  from  daily  mean  surface  atmospheric 
pressure  data.   Summaries  by  quarter  and  by  year  were  also 
included.   In  generating  the  indices   Bakun  estimated  the 
daily  mean  wind  stress  on  the  sea  surface  at  points  near  the 
coast,  from  this  computed  the  Eckman  transport,  and  finally 
resolved  the  component  of  Eckman  transport  perpendicular  to 
the  coast.   The  resulting  "upwelling  indices"  have  units  of 
cubic  meters  per  second  per  100  meters  of  coastline.   The 
magnitude  of  the  offshore  component  is  considered  an  indica- 
tion of  the  amount  of  water  upwelled  to  replace  that  driven 
offshore.   Negative  index  values  indicate  onshore  transport 
or  convergence  at  the  coast  (downwelling) . 

The  time  series  program  was  utilized  for  two  areas  for 
which  upwelling  indices  were  available  to  allow  a  comparison 


27 


between  the  indices  and  monthly  Secchi  depth  averages.   In 
addition  to  the  NODC  data,  Secchi  depth  data  were  obtained 
from  the  Hopkins  Marine  Station  of  Stanford  University. 
Since  1951  Hopkins  Marine  Station  has  carried  on  a  continu- 
ous hydrobiological  survey  for  the  California  Cooperative 
Oceanic  Fisheries  Investigations  (CalCOFI)  with  cruises  at 
approximately  two-week  intervals  on  Monterey  Bay  and  includ- 
ing stations  at  the  six  locations  shown  in  Figure  27. 


28 


IV.   DISCUSSION  OF  RESULTS 

A.   LINEAR  CORRELATION  COEFFICIENTS  USING  SEA  SURFACE 
CHEMISTRY  VALUES 

1 .   Japanese  and  Korean  Waters 

Summaries  of  data  distribution,  parameter  mean 
values,  and  resulting  correlation  coefficients  are  tabulated 
in  Tables  I,  II,  and  III  respectively.   They  are  listed 
according  to  Marsden  square  and  Marsden  subsquare  numbers . 
Linear  correlation  coefficient  graphs  for  most  of  the  sub- 
squares  are  plotted  in  Figures  4A  through  4N,  and  several 
samples  of  cross-plots  are  illustrated  in  Figures  5  through 
19.   The  data  density  codes  used  in  the  cross-plots  are 
translated  in  Table  IV. 

As  was  expected  (Brown,  1973)  no  consistencies  in 
correlation  coefficients  between  Secchi  depth  and  latitude, 
longitude,  cloud  cover,  and  month  of  year  were  apparent. 
However,  cross-plots  of  latitude  and  longitude  served  as  a 
valuable  aid  in  determining  erroneous   station  positions. 
This  was  true  where  coastal  boundaries  were  within  the  sub- 
square  boundaries.   Stations  with  inland  position  locations 
were  then  screened  and  discarded  during  analyses.   Cross - 
plots  of  month  of  year  were  also  valuable  in  determining  if 
station  densities  were  representative  throughout  the  year. 
Although  one  might  expect  a  dependency  of  Secchi  depth  on 
month  of  year  due  to  varying  sun  altitude,  it  appeared  that 


29 


other  parameters  and  factors  such  as  upwelling  and  fresh 
water  runoff  had  a  dominating  influence  on  transparency. 

Some  parameters  were  not  included  in  the  correlation 
coefficeint  graphs  and  cross-plot  figures,  although  they  may 
occur  in  the  summary  tables.   This  was  due  to  a  limited  amount 
of  data  available  for  analyses  and/or  strong  inconsistencies 
resulting  from  correlation  analysis.   The  parameters  excluded 
were  phosphate,  phosphorus,  nitrite  and  nitrate.   Correla- 
tions between  Secchi  depth  and  remaining  parameters  will  be 
discussed  separately.   It  should  be  noted  that  cross-plots 
of  all  paramater  pairs  were  made  for  each  ocean  area  studied. 
Figures  5-19,  discussed  below,  were  selected  as  representa- 
tive or  typical. 

a.   Color 

Forel  color  as  was  to  be  expected  (Brown,  1973) 
correlated  more  consistently  than  any  other  parameter,  with 
negative  coefficients  resulting  in  all  cases  but  one.   The 
exception  occurred  in  Marsden  square  132,  subsquare  38,  and 
resulted  in  a  slightly  positive  coefficient.   Typical 
examples  of  Forel  color  plotted  against  Secchi  depth  are 
shown  in  Figures  5  through  7.   Cross-plots  of  these  two 
variables  appeared  to  range  from  a  nearly  linear  to  a  nearly 
exponential  trend.   The  same  ranges  occurred  in  subsquares 
directly  within  coastal  influences  and  subsquares  having 
little  or  no  coastal  influence. 


30 


b.  Bottom  Depth 

As  was  expected,  bottom  depth  correlated  posi- 
tively.  However,  in  a  few  cases  negative  coefficients 
resulted.   Positive  coefficients  were  especially  pronounced 
in  subsquares  with  shallow  mean  depths  and  well  within  the 
range  of  coastal  influences.   One  would  expect  this  result, 
considering  the  high  amount  of  annual  rainfall  and  runoff 
that  occur  in  Japan  and  Korea.   Large  quantities  of  suspended 
and  dissolved  materials  would  be  expected,  resulting  in 
decreased  transparency  in  shallo\\r  coastal  waters.   Such  a 
trend  can  be  seen  in  Figures  8  and  9.   Subsquares  including 
waters  with  greater  mean  depths  and  with  little  coastal 
influence  did  not  exhibit  a  pronounced  trend.   Coefficients 
for  these  subsquares  varied  from  strongly  negative  to  strongly 
positive.   These  observations  appear  to  indicate  that  bottom 
depth  has  little  or  no  influence  on  Secchi  depth  measurements 
in  mid-ocean  areas. 

c.  Temperature 

In  all  but  four  subsquares,  temperature  exhibited 
a  positive  correlation.   The  four  exceptions  occurred  in  sub- 
squares  situated  near  or  within  bays  and  resulted  in  slightly 
negative  coefficients.   Cross-plot  examples  of  temperature 
against  Secchi  depth  are  given  in  Figures  10  through  12. 
Figure  10  is  for  a  shallow  water,  coastal  subsquare,  while 
Figures  11  and  12  are  for  deep  water  subsquares  separated 
from  coastal  influences.   The  coefficients  and  cross-plots 
resulting  from  the  temperature  analyses  indicate  a  strong 


31 


dependence  between  Secchi  depth  and  sea  surface  temperatures. 
This  is  not  surprising,  especially  in  areas  where  upwelling 
results  in  lower  temperatures  and  increased  amounts  of 
nutrients  near  the  sea  surface.   This  in  turn  would  tend  to 
enhance  phytoplankton  blooms  and  thus  lead  to  lower  Secchi 
depths. 

d.  Salinity 

A  consistent  correlation  or  trend  between  Secchi 
depth  and  salinity  was  not  apparent  except  in  subsquares  sub- 
ject to  high  amounts  of  fresh  water  runoff.   In  these  sub- 
squares  positive  coefficients  resulted  and  the  cross-plots 
have  an  exponential-like  character.   This  pattern  is  illus- 
trated in  Figure  13  and  was  not  unexpected  considering  the 
high  amounts  of  terrigenous  suspensions  that  can  result 
with  fresh  water  runoff.   However,  in  deep  water  subsquares 
away  from  coastal  influence  no  consistent  pattern  or  correla- 
tion was  apparent.   An  example  of  a  cross -plot  for  a  deep 
water  subsquare  is  provided  in  Figure  14. 

e.  Sigma-t 

Due  to  inconsistencies  in  salinity  patterns  and 
coefficients  no  single  general  correlation  was  noted  between 
sigma-t  and  Secchi  depth  measurements.   However,  the  same 
exponential-like  pattern  exists  for  subsquares  subject  to 
fresh  water  runoff.   Examples  of  patterns  resulting  from 
fresh  water  runoff  and  deep  water  subsquares  are  given  in 
Figures  15  and  16   respectively. 


32 


£.   Oxygen 

In  all  but  five  subsquares   oxygen  exhibited 
negative  correlation.   The  five  exceptions  resulted  in 
slightly  positive  correlations  and  occurred  in  both  deep  and 
shallow  water  subsquares.   Negative  coefficients  were 
expected  due  to  effects  of  fresh  water  runoff  and  photo - 
synthetic  activity.   Examples  of  both  shallow  and  deep  water 
subsquares  are  illustrated  in  Figures  17  and  18  respectively, 
g.   Silicate 

No  consistent  patterns  were  noted  between  sili- 
cate and  Secchi  depth  except  in  subsquares  subject  to  fresh 
water  runoff.  ' An  exponential -like  pattern  resulted  in  these 
subsquares  and  is  illustrated  in  Figure  19.   Brown  (1973) 
also  found  a  similar  pattern  existing  in  the  vicinity  of  the 
Columbia  River  discharge  along  the  Northwestern  coast  of  the 
United  States. 

2 .   Open  Ocean  Areas 

Open  ocean  areas  were  selected  for  further  analysis 
to  determine  if  the  trends  noticed  in  the  Japanese  and 
Korean  waters  held  elsewhere.   The  areas  are  shown  in 
Figures  1A  and  IB  and  their  boundaries  are  given  in  Table  V. 
Special  attention  was  given  to  trends  resulting  for  deep 
water  subsquares.   Summaries  of  data  distribution,  parameter 
mean  values,  and  resulting  linear  correlation  coefficients 
are  tabulated  in  Tables  VI,  VII,  and  VIII  respectively. 
Graphs  of  correlation  coefficients  for  most  of  the  selected 
areas  are  plotted  in  Figures  20A  through  20C.   Results  for 
the  Atlantic  and  Pacific  Oceans  will  be  discussed  separately 


33 


a.  Atlantic  Ocean 

For  all  areas  selected  in  the  Atlantic  Ocean 
bottom  depth  and  temperature  resulted  in  weak  positive  cor- 
relation coefficients.   A  strong  dependence  of  Secchi  depth 
on  temperature  is  again  displayed  for  the  open  Atlantic 
waters.   Forel  color  and  oxygen  also  exhibited  the  negative 
correlations  "observed  for  the  Japanese  and  Korean  waters. 
However,  salinity  and  sigma-t  exhibited  strong  positive  and 
negative  correlations,  respectively,  in  areas  located  north 
of  20  degrees  south  latitude,  whereas  in  the  Japanese  and 
Korean  waters  much  variability  was  found. 

The  correlation  coefficient  graph  (Figure  20A) 
for  areas  located  between  60  degrees  north  and  20  degrees 
south  latitude  was  of  particular  interest.   Because  of  the 
consistencies  in  correlation  coefficients  for  several  para- 
meters it  was  felt  that  a  fairly  reliable  relationship 
between  Secchi  depth  and  other  simultaneously  measured 
parameters  might  result  from  further  analysis  of  this  area. 

b.  Pacific  Ocean 

Unfortunately,  data  for  analysis  in  the  mid- 
Pacific  Ocean  were  very  limited  in  number.   However,  five 
areas  in  the  western  Pacific  and  one  area  in  the  eastern 
Pacific  (Figure  IB)  were  selected  for  study. 

Resulting  correlation  coefficients  were  highly 
variable  for  the  areas  analyzed,  as  can  be  seen  from  the 
correlation  coefficient  graphs  in  Figures  20B  and  20C. 
Forel  color  again  exhibited  negative  correlations  except  for 


34 


Area  9.   The  exception  resulted  in  no  correlation  due  to  a 
standard  deviation  of  zero  in  color.   Bottom  depth  and  tem- 
perature normally  led  to  positive  correlations.   However, 
bottom  depth  correlated  -negatively  in  Area  6.   This  is 
believed  to  be  the  result  of  data  from  stations  located  in 
the  vicinity  of  the  Mariana  Trench.   Although  great    depths 
do   .  occur  at  this  location,  low  transparency  may  have 
resulted  due  to  runoff  from  the  nearby  islands.   Eastward  of 
the  trench,  shallower  waters  and  higher  transparencies  could 
be  expected. 

B.  LINEAR  CORRELATION  COEFFICIENTS  USING 
MEAN  CHEMISTRY  VALUES 

Summaries  of  parameter  mean  values  for  seawater 
chemistry  and  resulting  linear  correlation  coefficients  are 
tabulated  in  Tables  IX  and  X  for  the  Japanese  and  Korean 
waters  shown  in  Figures  3A  and  3B.       Similar  summaries  are 
also  tabulated  in  Tables  XI  and  XII  for  the  selected  open 
ocean  areas  indicated  in  Figures  1A  and  IB.   The  use  of  mean 
values  of  parameters  averaged  over  the  Secchi  depth  accord- 
ing to  the  procedures  previously  outlined  did  not  result  in 
significant  improvements  in  correlation  coefficients  over 
those  based  on  surface  values  only. 

C.  TIME  SERIES  ANALYSIS 

Marine  pollution  has  resulted  in  long  term  changes  in 
certain  chemical   parameters   obtained  along  polluted 
coastal  waters  and  in  shallow  seas.   For  example,  dissolved 
oxygen  content  below  the  halocline  has  decreased  during 


35 


recent  decades  while  phosphate  concentrations  have  been 
steadily  increasing  during  the  past  six  decades  in  the 
Baltic  Sea  (Fonselius,  1970). 

Time  series  analyses  were  attempted  for  the  Baltic  and 
Red  Seas  to  find  possible  long  term  trends  in  average  monthly 
and  yearly  Secchi  measurements  as  a  result  of  increased 
pollution.   Secchi  data  from  N0F)C  were  compared  to  data  col- 
lected in  the  Red  Sea  by  Luksch  (1901) .   Long  term  trends 
were  not  apparent  for  either  of  these  areas  based  on  the 
available  data. 

Time  series  analyses  were  further  utilized  to  study 
the  relationship  between  Secchi  depth  and  upwelling  index 
near  the  Oregon  coast  and  for  Monterey  Bay.   Results  from 
these  analyses  are  discussed  in  the  following  sections. 

1 .   Oregon  Coast 

Unfortunately,  insufficient  NODC  data  were  available 
for  time  series  analysis  for  most  of  the  areas  for  which 
upwelling  indices  were  available.   The  only  exception  was  in 
the  vicinity  of  45°N  x  125°W  near  the  Oregon  coast  (Figure 
21) .   Sufficient  Secchi  data  were  available  for  analysis  at 
this  location  for  the  years  1961  and  1962. 

Three-month  running  means  of  Secchi  depth  and  monthly 
upwelling  indices  are  plotted  in  Figures  22  and  23  for  years 
1961  and  1962  respectively.   An  inverse  relation  between  the 
two  parameters  was  evident  with  a  possible  phase  lag  of  mean 
Secchi  depth  compared  to  monthly  upwelling  indices.   In 
Figure  22  the  latter  are  seen  to  peak  more  than  two  months 


36 


before  a  minimum  in  the  Secchi  curve  is  reached,  while  in 
Figure  23  for  the  following  year  such  a  phase  lag  is  not 
evident.   The  results  were  expected  since  upwelling  intro- 
duces large  quantities  of  nutrients  to  the  euphotic  zone  and 
is  thus  conducive  to  high  organic  production,  which  in  turn 
leads  to  decreased  Secchi  depths.   Bakun's  (1973)  calculations 
show  that  near  the  Oregon  coast  -upwelling  is  both  less  per- 
sistent and  less  intense  than  off  the  California  coast  to  the 
south,  where  offshore  Ekman  transport  is  present  throughout 
most  of  the  year.   In  Oregon  waters  summer  upwelling  is  seen 
to  accompany  the  change  in  wind  pattern  from  southwesterly  in 
winter  to  northerly  in  summer.   During  1961  and  1962  upwel- 
ling was  strongest  in  July  with  values  of  51  and  107, 
respectively,  while  yearly  averages  were  -34  and  -6. 
Upwelling  values  remained  nearly  constant  throughout  the 
summer  of  1961.   On  the  other  hand,  a  rapid  increase  in  up- 
welling was  observed  for  July  1962,  with  a  rapid  decrease  in 
the  following  months. 

Anderson  (1964)  studied  the  seasonal  and  geographic 
distribution  of  primary  productivity  of  the  Washington  and 
Oregon  coasts  as  evidenced  by  data  collected  on  14  cruises 
conducted  from  January  1961  to  June  1962.   He  observed  a 
spring  bloom  of  phytoplankton  during  May  and  a  smaller 
autumn  bloom  in  August  1961.   However,  a  close  inspection 
of  seasonal  and  horizontal  contours  of  primary  productivity 


*  3 

The  units  associated  with  the  upwelling  'index  are  m  /s/ 

100m.   See  p.  27  above. 

37 


revealed  a  steady  increase  from  May  through  August  near  45°N 
x  125°W  off  the  Oregon  coast.   Anderson  also  found  stimula- 
tion of  production  by  coastal  upwelling  to  be  especially 
evident  in  August. 

Figures  22  shows  a  rapid  decrease  in  mean  Secchi 
depth  occurring  from  February  through  May  and  a  smaller 
decrease  from  June  through  October.   The  rapid  decrease  is 
attributed  to  the  spring  bloom  of  phytoplankton  observed  by 
Anderson.   However,  a  minimum  in  mean  Secchi  depth  did  not 
occur  until  October.   Anderson  noted  that  difficulty  was 
encountered  with  the  productivity  measurements  during  his 
September-October  cruise  with  too  few  values  to  contour 
adequately.   Nevertheless,  he  did  observe  that  the  influence 
of  coastal  upwelling  appeared  to  advance  westward  as  the 
summer  progressed  with  a  maximum  westward  extent  occurring 
in  October. 

A  minimum  value  of  mean  Secchi  depth  was  observed 
for  May  1962  (Figure  23)  ,  again  corresponding  to  a  spring 
bloom  of  phytoplankton  observed  by  Anderson.   The  increase 
in  Secchi  depth  observed  for  the  remainder  of  the  year 
possibly  may  be  attributed  to  the  rapid  decrease  in  upwelling 
indices  after  July. 

Figures  24  and  25  are  plots  of  Secchi  depth  versus 
upwelling  index  for  years  1961  and  1962   respectively. 
Figure  26  gives  a  combined  plot  using  data  from  both  years. 
Regression  equations  and  corresponding  curves  are  also 
provided  in  the  figures  for  each  year,  with  a  dashed 


38 


regression  curve  shown  in  Figures  22  through  25  and  based  on 
the  two-year  combined  data.   Tahle  XIII  is  a  tabulation  of 
multiple  regression  equations  of  the  form  Z  =  Z  (U   ,U,U  ,U  ) , 
where  Z   represents  Secchi  depth  and  U  represents  upwelling 
index  which  resulted  from  the  Oregon  coast  study.   These  were 
generated  by  using  a  stepwise  regression  subroutine  available 
in  the  B I OMFD  program  (Dixon,  1973).   Several  transgenera- 
tions  of  upwelling  index  were  performed  in  constructing  the 
equations,  and  at  each  step  the  transgenerated.  form  which 
made  the  greatest  reduction  in  the  error  sum-of -squares  was 
added  to  the  regression  equation.   At  each  step  in  the  pro- 
cedure the  multiple  correlation  coefficients  served  as  an 
indication  of  how  well  the  regression  equations  fit  the  data. 

The  higher  Secchi  values  occurring  during  1961 
compared  with  1962  were  probably  the  result  of  a  somewhat 
lower  yearly  average  in  upwelling  index.   The  regression 
curve  for  1961  shown  in  Figure  24  approached  a  maximum 
Secchi  value  with  decreasing  upwelling  indices.   However, 
upwelling  did  not  appear  to  be  strong  enough  to  result  in 
a  normal  seasonal  maximum  productivity  and  a  resulting 
minimum  Secchi  value  as  low  as  is  usually  found.   Both  a 
maximum  and  a  minimum  were  approached  by  the  regression 
curve  for  1962  shown  in  Figure  25.   This  was  also  apparent 
in  the  regression  curve  for  the  combined  data  (Figure  26) 
with  maximum  and  minimum  calculated  values  of  19.3  and  8.3 
meters  respectively. 


39 


2 .   Monterey  Bay 

a.   Relationship  Between  Secchi  Depth 
and  Upwelling  Index 

Secchi  data  were  available  for  years  1968 
through  1973  from  cruises  conducted  by  Hopkins  Marine  Station 
of  Stanford  University  on  Monterey  Bay.   A  preliminary  inves- 
tigation revealed  an  abundance  of  Secchi  data  obtained  from 
Hopkins  CalCOFI  station  3  for  the  four  years  1970-1973  and 
from  CalCOFI  station  4  for  year  1971.   For  this  reason, 
and  due  to  the  distance  separating  the  stations  and  the 
surrounding  coast,  stations  3  and  4  and  years  1970-1973 
were  selected  for  analysis.   The  locations  of  the  stations 
are  shown  in  Figure  27.   Unfortunately  upwelling  indices 
were  not  available  for  Monterey  Bay.   The  indices  used  were 
calculated  for  the  point  36°N  x  122°W  (Figure  21)  which  is 
approximately  52  nautical  miles  south  of  CalCOFI  station  4. 

In  contrast  to  the  Oregon  coast  Monterey  Bay 
is  a  region  of  strong  upwelling  during  much  of  the  year. 
Peak  upwelling  values  ranged  from  a  low  of  221  for  June  1971 
to  a  high  of  297  for  April  1970  with  intermediate  peak  values 
during  June  1972  and  July  1973.   Yearly  averages  were  also 
high,  the  average  index  for  the  4 -year  period  being  116. 

Mean  monthly  Secchi  depths  for  CalCOFI  station  3 
and  monthly  upwelling  indices  are  plotted  in  Figures  28 
through  31,  corresponding  to  years  1970  through  1973,  respec- 
tively.  Figure  32  is  a  similar  plot  for  CalCOFI  station  4 
for  1971,  and  Figure  33  provides  a  quarterly  plot  for  CalCOFI 
station  3  for  1970  through  1972.   An  inverse  relation  between 


40 


mean  Secchi  depth  and  upwelling  index  was  observed  in  all 
cases.   A  phase  lag  of  from  one  to  two  months  in  mean  monthly 
Secchi  depth  was  observed  at  station  3  for  years  1970  through 
1972.   However,  such  a  phase  lag  between  minimum  Secchi 
depth  and  maximum  upwelling  index  was  not  observed  for  1973 
at  CalCOFI  station  3  or  at  CalCOFI  station  4  for  1971. 

Plots  of  mean  Secchi  depth  versus  upwelling 
index  were  again  constructed  for  the  Monterey  Bay  study. 
These  appear  in  Figures  34  through  37  for  CalCOFI  station  3 
corresponding  to  years  1970  through  1973  respectively. 
Figure  38  is  a  plot  of  1971  data  for  CalCOFI  station  4  and 
Figure  39  gives  a  combined  plot  of  all  data  used  in  the 
Monterey  Bay  study.   Regression  equations  and  corresponding 
curves  are  again  provided  in  the  figures  with  a  dashed  curve 
(Figures  34-38)  representing  a  best  fit  to  the  combined 
Monterey  Bay  data.   A  dashed  curve  representing  a  best  fit 
to  the  combined  Oregon  and  Monterey  data  is  given  in  a 
quarterly  plot  (Figure  33).   A  tabulation  of  multiple  regres- 
sion equations  and  multiple  correlation  coefficients  is 
provided  in  Table  XIV. 

The  regression  curve  for  1970  approached  a 
minimum  in  Secchi  depth  with  increased  values  of  upwelling. 
Downwelling  apparently  was  not  sufficient  for  a  maximum  in 
Secchi  depth  to  be  approached  by  the  regression  curves  for 
both  1970  and  1971  (stations  3  and  4) .   Higher  Secchi  values 
occurred  in  1972  as  a  result  of  a  lower  yearly  average  in 
upwelling  index,  and  a  maximum  Secchi  depth  was  approached  by 
the  1972  regression  curve.   However,  more  scattering  of 

41 


data  points  and  a  significantly  lower  multiple  correlation 
coefficient  resulted  in  the  1972  analysis  compared  to  pre- 
vious years.  Scattering  was  even  more  pronounced  in  1973, 
resulting  in  lower  multiple  correlation  coefficients. 

The  regression  curve  resulting  from  the  combined 
Monterey  Bay  data  is  shown  in  Figure  39.   A  minimum  in 
Secchi  depth  was  approached  by  the  curve  beginning  at  an  up- 
welling  value  of  approximately  200.   On  the  other  band,  down- 
welling  was  not  sufficient  for  the  Secchi  curve  to  approach 
a  maximum  Secchi  value  for  the  overall  Monterey  Bay  study. 

A  plot  of  mean  Secchi  depth  versus  upwelling 

index  for  all  data  used  in  both  the  Oregon  coast  and  Monterey 

Bay  studies  is  given  in  Figure  40.   Both  a  maximum  Secchi 

value  of  18.7  and  a  minimum  of  9.3  meters  resulted  from 

the  overall  regression  curve,  corresponding  to  low  and  high 

upwelling  values  of  approximately  -200  and  200  respectively. 

b.   Relationship  Between  Phytoplankton  Wet 
Volume  and  Upwelling  Index 

Plankton  hauls  were  conducted  by  Hopkins  Marine 

Station  during  cruises  made  on  Monterey  Bay  from  years  1956 

through  1967.   Wet  settled  volumes  of  net  phytoplankton  were 

then  measured,  and  monthly  averages  were  tabulated  using 

data  taken  at  the  six  standard  stations  illustrated  in 

Figure  27.   The  data  were  obtained  from  Hopkins,  and  a  plot 

of  monthly  phytoplankton  wet  volume  in  milliliters  against 

upwelling  index  was  constructed  and  is  shown  in  Figure  41. 

Unfortunately,  plankton  volumes  and  Secchi  data  were  not 


42 


measured  simultaneously,  and  a  direct  comparison  between  the 
measurements  could  not  be  performed. 

Although  there  Avas  considerable  scatter,  especial- 
ly for  high  values  in  wet  volumes,  in  general  a  direct  pro- 
portionality existed.   It  is  speculated  that  the  scatter 
may  be  due  to  errors  resulting  from  the  technique  used  in 
the  wet  volume  measurement.   When  the  measurement  is  performed, 
complete  settling  does  not  always  occur  to  produce  a  distinct 
boundary  between  the  plankton  and  the  liquid  above.   The 
incomplete  settling  may  be  the  result  of  electrical  charges 
existing  in  the  plankton  and  lead  to  values  in  the  measurement 
higher  than  would  otherwise  be  obtained.   Because  of  the 
scatter  no  attempt  was  made  to  establish  a  regression  equa- 
tion between  the  wet  volume  and  upwelling  index. 


43 


V.   SUMMARY  AND  CONCLUSIONS 

Secchi  depth  reading's  are  influenced  by  many  sea  water 
parameters.   Although  linear  correlation  coefficients  cannot 
determine  the  exact  nature  of  these  relationships,  they  do 
provide  an  indication  of  general  trends.   Forel  color,  oxy- 
gen, and  water  temperature  appear  to  be  the  most  consistent 
in  their  linear  correlations  with  Secchi  depth  in  both 
coastal  and  open  ocean  waters.   Forel  color  exhibited  trends 
tov/ard  an  inverse  proportionality  with  Secchi  depth  as 
previously  indicated  by  Visser  (1967) .   Oxygen  measurements 
also  exhibited  trends  toward  an  inverse  proportionality  with 
Secchi  depth  while  temperature  data  indicated  a  possible 
direct  proportionality.   However,  much  variability  was 
encountered  in  correlation  coefficient  values  for  coastal 
waters. 

In  shallow  coastal  water  areas  subject  to  high  amounts 
of  fresh  water  runoff  bottom  depth  data  indicated  a  direct 
proportionality  with  Secchi  depth,  and  salinity  and  sigma-t 
exhibited  positive  correlations  with  exponential-like 
patterns  when  plotted  against  Secchi  depth.   Silicate  cor- 
related negatively  and  also  resulted  in  plots  of  an  exponen- 
tial-like character.   Such  special  trends  were  not  apparent 
in  deep  water  not  subject  to  coastal  influences. 

No  consistencies  in  linear  correlation  coefficients 
between  Secchi  depth  and  latitude,  longitude,  cloud  cover, 


4  4 


and  month  of  year  were  found,  and  the  scatter  resulting  from 
cross-plots  of  these  parameters  did  not  indicate  possible 
consistencies  in  correlations  of  higher  order.   Nitrate, 
nitrite,  phosphate,  and  phosphorus  data  were  too  sparse  to 
allow  representative  analyses. 

Linear  correlation  results  from  the  Atlantic  open  ocean 
.waters,  including  the  region  between  20  degrees  south  and  60 
degrees  north  latitude,  indicate  a  high  degree  of  consistency 
in  coefficients. 

Sea  surface  chemistry  values  appear  to  be  valid  in 
correlation  analysis  based  on  the  present  study.   The  use  of 
mean  chemistry  values  of  parameters  averaged  over  the  Secchi 
depth  did  not  indicate  significant  differences  beyond  the 
use  of  sea  surface  values  in  linear  correlations. 

Although  marine  pollution  in  the  Baltic  Sea  has  resulted 
in  long  term  trends  of  certain  chemical  parameters, 
especially  evident  below  the  halocline,  Secchi  values  there 
do  not  appear  to  be  significantly  altered  by  such  effects. 
Nor  were  long  term  trends  evident  for  the  Red  Sea,  an  area 
for  which  Secchi  data  also  span  about  seventy  years. 

An  inverse  variation  between  mean  monthly  Secchi  depth 
and  upwelling  index  was  observed  for  coastal  waters  along 
the  Oregon  coast  and  for  Monterey  Bay.   A  "phase  lag"  was 
observed  between  the  time  at  which  minimum  Secchi  depth 
occurred  and  that  at  which  maximum  upwelling  occurred. 

Upwelling  indices  may  be  a  valuable  aid  in  the  predic- 
tion of  transparencies  in  coastal  waters  and  in  locating 


45 


areas  of  high  biological  production  and  potential  fishing 
grounds.   Although  the  regression  equations  resulting  from 
the  Oregon  coast  and  Monterey  Bay  studies  will  not  provide 
absolute  values  of  Secchi  measurements,  a  fairly  reliable 
estimate  should  result  when  used  in  those  areas  studied,  as 

indicated  by  high  correlation  coefficients.   The  regression 

-7   3 
equation,  Z  =13.85  -  . 04  U   +  3.13  x  10    U   ,  with  a  mul- 
tiple correlation  coefficient  of  .80  resulted  from  the  Oregon 

coast  data,  where  Z   is  Secchi  depth  and  U  is  upwelling 

-7   3 
index.   A  similar  equation,  Z  =14.01  -  .03  U   +  1.80  x  10   U  , 

n       '   s 

with  a  correlation  coefficient  of  .72  was  derived  using  com- 
bined data  from  both  the  Oregon  coast  area  and  Monterey  Bay. 

An  inverse  trend  between  phytoplankton  wet  volume  and 
upwelling  index  occurred  for  data  obtained  for  Monterey  Bay. 
However,  considerable  scatter  was  observed,  possibly  result- 
ing from  the  technique  employed  in  the  wet  volume  measurement. 


46 


VI.   PROPOSED  FUTURE  RESEARCH 

Work  should  continue  to  provide  better  world-wide  cover- 
age of  Secchi  disc  measurements  with  the  other  oceanographic 
parameters  normally  sampled.   To  ensure  this,  a  program 
should  be  established  to  provide  better  dissemination  of 
oceanographic  data  -  especially  older  data  -  from  the  various 
existing  oceanographic  institutions  to  NODC . 

Studies  relating  Secchi  disc  measurements  to  other  ocean 
parameters  such  as  the  diffuse  attenuation  coefficient  should 
be  continued  to  check  further  the  empirical  relationships 
that  have  been  formulated  and  their  spacial  variability. 

Both  disc  diameter  and  reflectance  should  be  standardized 
or  specified.   Investigations  should  also  be  conducted  to 
determine  quantitatively  the  effects  of  varying  sun  altitude 
and  wire  angle  on  data  taken  with  the  Secchi  disc. 

As  more  Secchi  data  become  available,  time  series 
analyses  should  be  performed  in  shallow  seas  and  coastal 
regions  to  determine  any  long  term  effects  in  water  trans- 
parency due  to  the  various  forms  of  pollution. 

Further  research  should  be  conducted  in  the  Atlantic 
open  ocean  areas  to  study  consistencies  between  the   linear 
correlations  between  Secchi  depth  and  other  simultaneously 
measured  parameters  for  the  different  regions. 

Additional  study  should  be  devoted  to  the  various  upwelling 
regions  of  the  world  oceans  to  determine  relationships 


47 


between  Secchi  measurements  and  upwelling  indices  to  the  end 
that  standing  crops  may  be  predicted  directly  from  the 
latter. 


48 


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Table  IV.  Data  Density  Code  Used  in  Figures  5-19 

The  following  table  shows  the  symbols  used  in  plotting 
frequencies  of  data  in  BIOMED  02D  graphical  output.   For 
example,  a  symbol  K  represents  twenty  data  points  at  a 
particular  x-y  coordinate. 


DATA  POINTS 

SYMBOL 

DATA  POINTS 

SYMBOL 

1 

1 

21 

L 

2 

2 

22 

M 

3 

3 

23 

N 

4 

4 

24 

0 

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5 

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F 

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48-54 

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J 

55-62 

$ 

20 

K 

63+ 

/ 

65 


Table  V.   Open  Ocean  Area  Delineations 

AREA  LATITUDE  LONGITUDE 


1  40°-60°  N  20°-40°  W 

2  20°-40°  N  50-    70°  W 

3  10°-40°  N  30°-50°  W 

4  40°-50°  N  140°-150°  W 

5  30°-40°  N  160°-180°  E 

6  20°-30°  N  140°-160°  Ji 

7  10°-20°  N  130°- 150°  E 

8  0°-20°  N  150°-160°  E 

9  0°-10°  N  160°-180°  E 

10  0°-20°  S  10°-30°  W 

10°-20°  S  0°-10°  W 

11  40°-60°  S  10°-50°  W 

40°-50°  S  0°-10°  W 


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Table    IX.      Parameter  Means  by  Marsden    Sub -Square   Using 

Values   Averaged   to    the    Secchi    Depth      fStandard 
Deviations    in   Parentheses) 


Mar. Sq. 

Sub-Sq. 

KV 

Salin. 

r/oo) 

Sigma-t 

°2 
(ml/1) 

130 

51 

19.0 
(4.5) 

34.24 
(    .90) 

24.37 
(1.29) 

5.55 
(.61) 

130 

60 

16.0 
(4.5) 

33.30 
(2.05) 

24.35 
(1.97) 

6.25 
(1.12) 

130 

61 

16.7 
(4.6) 

34.05 
(.65) 

24.75 
(1.19) 

5.80 
(.74) 

130 

92 

13.0 
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33.53 
(.80) 

25.10 
(1.32) 

6.56 
(.97) 

131 

30 

19.1 
(5.0) 

33.82 
(1.02) 

24.00 
(1.80) 

5.12 
(.47) 

131 

34 

22.1 
(4.0) 

33.25 
(1.04) 

22.90 

(1.40) 

5.18 
(.53) 

131 

36 

20.9 
(4.0) 

34.52 
(.43) 

24.11 
(1.29) 

5.09 
(.45) 

131 

40 

19.7 
(4.6) 

33.83 

(.84) 

23.86 

(1.75) 

5.38 
(.50) 

131 

45 

17.9 
(5.8) 

31.08 
(1.94) 

22.17 
(2.22) 

5.46 
(.83) 

131 

49 

20.1 
(3.8) 

34.43 
(.36) 

24.25 
(1.14) 

5.42 
(.50) 

131 

55 

18.0 
(5.6) 

32.58 
(1.51) 

23.26 
(1.90) 

5.50 
(.72) 

131 

59 

18.0 
(4.5) 

33.34 
(1.74) 

23.93 
(1.80) 

5.55 
(.61) 

131 

65 

18.8 
(5.4) 

33.73 
(.63) 

24.00 
(1.71) 

5.33 
(.59) 

131 

70 

16.6 
(5.5) 

33.88 
(.63) 

24.64 
(1.65) 

5.64 
(.48) 

131 

77 

19.4 
(4.8) 

33.27 
(1.66) 

23.50 
(1.86) 

5.40 
(.42) 

71 


Table  IX.  (Continued)  Linear  Correlation  Coefficients  by 
Marsden  Sub-Square  Using  Values  Averaged  to  the 
Secchi  Depth   (Standard  Deviations  in  Parentheses) 


Mar.Sq. 


Sub-Sq, 


Tgmp. 

re) 


Salin. 
(b/oo) 


Sigma-t 


°2 
(ml/1) 


131 


132 

132 
v 


132 
132 
132 


78 

16.7 
(6.0) 

33.29 
(1.43) 

24.07 
(1.89) 

5.14 
(.26) 

29 

20.7 
(4.4) 

19.1 
(5.0) 

33.77 
(.83) 

33.82 
(.98) 

23.58 
(1.65) 

24.02 
(1.82) 

5.24 
(.47) 

5.22 
(.61) 

49 

19.1 
(4.6) 

33.85 
(.98) 

24.04 
(1.84) 

5.27 
(.45) 

59 

17.6 
(4.4) 

33.72 
(.92) 

24.35 
(1.67) 

5.53 
(.42) 

79 

14.6 
(5.6) 

33.81 
(.56) 

25.02 
(1.49) 

5.91 
(.62) 

72 


Table  X. 

Linear  Correlation  C 
Sub -Square  Using  Val 
Depth 

oef f icients 
lies  Avpragec 

by  Marsden 
I  to  the  Secchi 

Mar.Sq. 

Sub-Sq. 

Temp. 

Salin. 

Sigma- t 

°2 

130 

51 

.260 

.310 

-.117 

-.356 

130 

60 

.104 

.349 

.222 

-.725 

130 

61 

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.226 

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.028 

130 

92 

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.260 

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-.198 

131 

30 

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.284 

-.054 

-.350 

131 

34 

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.524 

-.209 

131 

36 

.521 

-.235 

-.505 

-.507 

131 

40 

.297 

-.292 

-.523 

-.317 

131 

45 

-.029 

.550 

.380 

-.025 

131 

49 

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.225 

.061 

-.185 

131 

55 

.304 

.474 

.067 

-.320 

131 

59 

.041 

.573 

.402 

-.058 

131 

65 

.529 

-.356 

-.532 

-.517 

131 

70 

.471 

-.327 

-.473 

-.629 

131 

77 

.456 

.175 

-.161 

-.516 

131 

78 

.226 

.430 

.093 

-.746 

132 

29 

.183 

.170 

-.079 

-.256 

132 

39 

.167 

.110 

-.079 

.057 

132 

49 

.340 

-.253 

-.318 

-.159 

132 

59 

.356 

-.037 

-.258 

-.125 

132 

79 

.276 

-.578 

-.367 

-.054 

73 


Table  XI.   Parameter  Means  by  Open  Ocean  Area  Using  Values 

Averaged  to  the  Secchi  Depth  (Standard  Deviations 
in  Parentheses) 


Area 


Tern 
(  c 


V 


Salin. 


Sigraa-t 


°2 
(ml/1) 


1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 


12.4 
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24.4 
(4.D 

22.6 
(3.D 

9.4 
(3.8) 

20.3 
(3.1) 

26.2 
(2.9) 

28.2 
(1.5) 

28.6 
(.8) 

28.7 
(.5) 

25.9 
(2.4) 

8.7 
(4.9) 


35.29 
(.52)- 

36.28 
(.63)"" 

36.65 
(.45) 

32.70 
(.21) 

34.50 
(.36) 

34.82 
(.29) 

34.60 
(.33) 

34.58 
(.37) 

34.48 
(.34) 

35.78 
(.35) 

34.39 
(.56) 


26.64 
(.68)- 

5.82 
(.57) 

24.43 
U98)^ 

4.78 
(.56) 

25.27 
(.83) 

4.77 
(.24) 

25.21 
(.63) 

6.68 
(.57) 

24.07 
(.95) 

4.94 
(.29) 

22.80 
(.88) 

4.75 
(.31) 

22.05 
(.50) 

4.62 
(.36) 

21.87 
(.37) 

4.51 
(.16) 

21.78 
(.32) 

4.44 
(.05) 

23.64 
(.74) 

4.59 
(.26) 

26.58 
(.37) 

6.45 
(.80) 

74 


Table  XII.   Linear  Correlation  Coefficients  by  Open  Ocean 
Area  Using  Values  Averaged  to  the  Secchi  Dept^ 


Area 

Temp. 

Salin. 

Sigma-t 

°2 

1 

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.530 

-.485 

-.510 

2 

.664 

.496 

-.453 

-.719 

3 

.543 

.428 

-.382 

-.023 

4 

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.265 

.176 

.083 

5 

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.147 

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-.429 

6 

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.139 

-.236 

-.150 

7 

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.121 

.003 

-.461 

8 

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-.187 

-.216 

-.228 

9 

.235 

-.468 

-.490 

.343 

10 

.629 

.341 

-.496 

-.512 

11 

-.071 

-.057 

.173 

-.104 

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79 


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135 


APPENDIX  A 
AVERAGING  PROGRAM 


C 
C 

c 
c 
c 
c 
c 
c 
c 
c 


c 
c 
c 
c 


c 
c 
c 
c 
c 


c 
c 
c 
c 
c 


THIS  PROGRAM  READS  SEQUENTIAL  A-SHEET  DATA,  SCREENS 
THE  DATA  AND  THEM  STORES  THE  SCREENED  DATA  IN  PREPAR- 
ATION FOR  BIMED02D  ANALYSIS.   EACH  STATION  LACKING  A 
SECCHI  DEPTH  MEASUREMENT  IS  OMITTED  FROM  ANALYSIS. 
LATITUDE  AND  LONGITUDE  CORRESPONDING  TO  EACF  STATION 
ARE  SCREENED  FOR  THE  AREA  TO  BE  ANALIZED.   TEMPERA- 
TURE, SALINITY,  SIGMA-T,  AND  OXYGEN  ARE  THEN  SCREENED 
AND  AVERAGED  OVER  THE  SECCHI  DEPTH. 

INTEGER*4  XD,XM, XTM, YD , YM , YTM 

DIMENSION  TP(3500),TEMP(3500) , SAL (3500)  , S  IGMAT ( 3500)  , 
5)OXY(3500) 

DATA  T P /3 5 00* 0. 0 /, TEM P/ 3500* 0. 0 /, SAL/3 5  0 0*0. 0/,S IGMAT 
3/ 3500* 0. 0/, OX Y/ 3 50 0*0.0/ 

CALL  REREAD 

THIS    SECTION    CF    THE    PROGRAM    SETS    THE    SUBSCUARE    BOUN- 
DARIES   AND    READS     SEQUENTIAL    DATA. 

N  =  l 

DSS=35.43 
DNN=36. 0 
DEE=135.0 
DWW=136.0 
1    READ( 5, 10,END=80) 
3ASAL,ASIGMA, AOXY, 
10    FORMAT ( IX, 212, II , 
a5X,F4.0,24X, I  1) 
IFtKD.GT.l )    GO    TO 
15    CONTINUE 


XD, XM, XTM, YD, YM,  YTM, DEPTH, ATEMP, 
KD 
IX, 13, 12, II, 5X,F4.0,F5. 2, F4. 2, F5.0, 


THIS    SECTION    CONVERTS    MINUTES    AND    SECONDS    TO    TENTHS 
DEGREES.       LATITUDE    AND    LONGITUDE    IS    THEN    CHECKED 
AGAINST    THE    SUBSQUARE    BOUNDARIES. 

A  =  0.0 
B=0.0 
C=0.0 
D  =  0.0 
IF( (XM 
IF( (YM 


OF 


) 


XTM=XTM+1 
YTM=YTM+1 


EQ.O) . AND. (XTM.EQ.O) 

EQ.O)  .AND. (YTM. EQ.O)  ) 
ALAT=FLOAT(XD)+( FLOAT (XM)+( FLO AT ( XTM ) *. 1 ) J/60.0 
ALON=FLGAT(YD)+( F L OAT ( YM )+( FLOAT { YTM )*. 1 ) J/60.0 
IF(ALAT  .LT.DSS)  GO  TO  1 
IF(ALON.LT.DEE)  GO  TO  1 
IF(ALAT.GT.DNN)  GO  TO  1 
IF(ALON.GT.DWW)   GO  TO  1 

ThIS  SECTION  SCREENS  THE  DATA,  AVERAGES  THE  DATA  OVER 
THE  SECCHI  DEPTH,  AND  THEN  PLACES  THE  DATA  IN  STORAGE 
FOR  BIMED02D  ANALYSIS. 

BTEMP=0.0 

DTEMP=0.0 

ITEMP=0 

ETEMP=0.0 

FTEMP=0.0 

GTEMP=0.0 

BSAL=0.0 

ISAL=0 

DSAL=0.0 

SECCHI=0.0 

IF( (ATEMP. EQ. 0.0 )  .AND. (ASAL.EQ. 0.0) )  GO  TO  1 

I F(ATEMP.EQ.O.O)  GO  TO  20 

BTEMP=ATEMP*100.0 

DTEMP=ATEMP*10.0 


136 


APPENDIX    A    (CON'TJ 

ITEMP=OT£MP 

ITEMP=ITEMP*10 

ETEMP=FLOAT(ITEMP) 

FTEMP=BTEMP-ETEMP 

GTEMP=FTEMP*10.0 

GO    TO    2  5 
20    GTEMP=0.0 
25    IF(ASAL.EQ.O.O)     GO    TO    30 

BSAL=ASAL/10.0 

ISAL=BSAL 

DSAL=FLOAT(ISAL) 

GO  TO  35 
30  DSAL=0.0 
35  SECCHI=GTEMP+DSAL 

IF(SECCHI.LE.O.l)  GO  TO  1 

CTEMP=0.0 

CSAL=0.0 

CSIGMA=0.0 

COXY=0. 0 
40  READ< 5, 10, END=80)  XD, XM, XTM f YD f YM.YTM, DEPTH ,ATEMP , 
aASAL,ASIGMA,AOXY,KD 

IF(KD.EQ.l)  GO  TO  65 

IFUTEMP.EQ.O  .0  )     GO    TO    45 

A=A+1.0 

CTEMP=CTEMP+ATEMP 
45    IF(ASAL.EQ.O.O)     GO    TO    50 

B=B+1.0 

CSAL=CSAL+ASAL 
50    IF(ASIGMA.EQ.O.O)    GO    TO    55 

C=C+1.0 

CSIGMA=CSIGMA+ASIGMA 
55    IF(AOXY.EQ.O.O)     GO    TO    60 

D=D+1.0 

COXY=COXY+AOXY 
60  CONTINUE 

GO  TO  40 
65  CONTINUE 

TP(N)=SECCHI 

IF(TP(N).LE.0.1)  GO  TO  70 

IF{TP(N).GE.99.0J  GO  TO  70 

IF(A.EQ.O.O)  TEMP(N)=0.0 

IF(A.GT.O.O)     TEMP(N)=CTEMP/A 

IF(B.EQ.O.O)     SAL(N)=0.0 

IF(B.GT.O.O)     SAL(N)=CSAL/B 

IF(C.EQ.O.O)     SIGMAT(N)=0.0 

IF(C.GT.O.O)     SIGMAT(N)=CSIGMA/C 

IF(D.EO.O.O)     OXY(N)=0.0 

IF(D.GT.O.O)     OXY(N)=COXY/D 

GC  TO  75 
70    CONTINUE 

TP(N)=0.0 

GO  TO  15 
75    CONTINUE 

N  =  N+1 

GO  TO  15 
80    CONTINUE 

L  =  N-1 

NUM  =  L 

WRITE (8f90)(TP(N) ,TEMP(N) ,SAL(N) ,SIGMAT(N) , 
aOXY(N) .N=1,L) 
90  F0RMAT(F8.0,F6.2,F5.2,F6.0,F5.0) 

WRITE(6,100)  NUM 
100  FCRMATf «0'  , 'TOTAL  COUNT  THIS  SUBSQUARE :  • , I  7 ) 

STOP 

END 


137 


APPENDIX  B 
SAMPLE  BIMED02D  OUTPUT 


BMD02D  CORRELATION  WITH  TRANSGENE RAT  I  ON 

REVISED  JANUARY  29,  1970 

HEALTH  SCIENCES  COMPUTING  F AC  I L I TY, UCL A 


PROBLEM  CODE    TEMP 
NUMBER  OF  VARIABLES    2 
NUMBER  OF  CASES   3399 


CASE  SELECTION  CARDS 


A  CASE  IS  ACCEPTED  IF 
(VAR(   2)  NE  0.0000)  ** 
VARIABLE  FORMAT  CARD  (S) 
(F8.0,F6.2) 


REMAINING  SAMPLE  SIZE=  3399 
SUMS 

36683.0000     61336.2617 

MEANS 

10.7923        18.0454 

CROSS  PRODUCT  DEVIATIONS 

COL.  COL. 

1  2 

1178283.2500     41609.7930 

2141609.7930  105265.5625 

STANDARD  DEVIATIONS 

7.2434         5.5658 

VARIANCE-COVARIANCE  MATRIX 


COL. 

COL. 

1 

2 

1 

52.4671 

12.2454 

2 

12.2454 

30.9787 

CORRELATION  MATRIX 


COL. 

COL. 

1 

2 

1 

1.0000 

0.3037 

2 

0.3037 

1.0000 

138 


APPENDIX  C 
TIME  SERIES  ANALYSIS 

C  THIS  PROGRAM  READS  SEQUENTIAL  A-SHEET  DATA  AND  SORTS 

C  SECCHI  DEPTH  OBSERVATIONS  ACCORDING  TO  YEAR  AND  MONTH 

C  OF  OBSERVATION.   SECCHI  DEPTH  MEASUREMENTS  ARE  THEN 

C  AVERAGED  FOR  EACH  MONTH  IN  THE  AREA  OF  ANALYSIS. 
C 

HSiSiSoS   T8fsE6T?^12),DIVIDE(72a2),AVSEC(72,12) 
DATA   NLAT/43/,NL0NG/124/, NLA/46/, NLO/128/, N/O/, N I/O/, 

SHYEAR/O/ 
CALL  REREAD 
DO  2  1=1,72 
DO  1  J=l,72 
TOTSEC(  I,  J)=0.0 
D1VIDEC  I, JJ=0.0 
AVSEC( I ,J)=0.0 

1  CONTINUE 

2  CONTINUE 

C  THIS  SECTION  READS  IN  SEQUENTIAL  STATIONS  AND  CHECKS 

C  LATITUDE  AND  LONGITUDE  TO  INSURE  THEY  ARE  WITHIN  THE 

C  AREA  OF  ANALYSIS.   STATIONS  ARE  THEN  SCREENED  FOR 

C  ERRONEOUS  MONTHS  AND  YEARS  AND  CHECKED  FOR  ZERO  SECCHI 

C  DEPTHS.   SECCHI  DEPTHS  ARE  THEN  AVERAGED  FOR  EACH 

C  MONTH. 

5  READC5.10,END=15)  XDj XM, YD, YM, SECCHI , I  YEAR , MONTH , KD 
10  FORMAThx,2I2,2X,I3,i2,14X,F2.0,13X,2I2,24X,IlJ 

IF(XD.LT.NLAT)  GO  TO  5 
1FCXD.GE.NLA)  GO  TO  5 
IF(YD.LT.NLONG)  GO  TO  5 
IF(YD.GE.NLC)  GO  TO  5 
IFCKD.GT.l)  GO  TO  5 
N  =  N+1 

IFCSECCHI.LT. 0.1)  GO  TO  5 
IF(MONTH.EQ.O)  GO  TO  5 
IFC IYEAR.EQ.O)  GO  TO  5 
IFCMCNTH.GT.12)  GO  TO  5 
IFCIYEAR.GT.72)  GO  TO  5 

TOTSECCIYEAR, MONTH )=TOTSEC( I  YEAR, MONTH) +SECCHI 
DI VIDE  CI  YEAR  I  MONTH )=DI VIDE (I  YEAR, MONTH) +1.0 

GO  TO  5 
15  CONTINUE 

DO  30  IYEAR=1,72 

DO  25  M0NTH=1,12  _  „c 

IFCDIV1DEC IYEAR, MONTH) .EQ. 0.0)  GO  JO  25 

AVS ECC I  YEAR, MONTH )=TOTS EC (I  YEAR, MONTH) /DIVIDE  CI  YEAR, 

SKCNTH) 
25  CONTINUE 
30  CONTINUE 

50  FORMAT?' 1« ,10Xj ' TOTAL  NUMBER  OF  STATIONS ',15) 

100  FORMATC'O'  ,10X,« TOTAL  NUMBER  OF  S-DEPTHS ',15) 

150  F0RMATtJ0^,20X,«TIME  SERIES  OF  SECCHI  MEASUREMENTS') 

DO  600  IYEAR=32,72 

MYEAR=0 

MYEAR=1900+IYEAR 

WRITE<6,200)  MYEAR 
20  0  FORMAT C  '  0'  ,15X, 'YEAR=« ,14,//) 

300  FGRMATCJ0°?5X, 'MONTHS 5X,'NR.  S-DEP ' , 5X, ' A VER.  S-DEP') 

SRITE?6?400y_M6NTH,DIVIDE(  IYEAR, MONTH)  , A VSEC C I  YEAR , 
SMONTH) 


139 


APPENDIX  C  (CON'T) 


400 
500 
600 


FORMAT ( • 

CONTINUE 

CONTINUE 

STOP 

END 


•,6X,I2,10X,F4.0,11X,F4.1) 


140 


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2.  Arsen'yev,  V.  S.,  and  Voytov,  V.  I.,  "Relative  Trans- 
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3.  Atkins,  W.  R.  G.,  Jenkins,  P.  G.,  and  Warren,  F.  J., 
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142 


25.  Ryther,  J.  H.  and  Yentsch  C.  S.,  "The  Estimation  of 
Phytoplankton  Production  in  the  Ocean  from  Chlorophyll 
and  Light  Data,"  Limnology  and  Oceanography,  2_(3)  , 
281-286,  1957. 

26.  Tyler,  J.  E.  and  Preisendorf er ,  R.  W. ,  "Transmission  of 
Energy  Within  the  Sea,"  The  Sea,  Vol  I,  ed .  by  M.  N. 
Hill,  397-445,  Interscience  Publishers,  New  York,  1963. 

27.  Tyler,  J.  E.,  "The  Secchi  Disc,"  Limnology  and  Ocean- 
ography, 1_3(1),  1-6,  1968. 

28.  Visser,  M.  P.,  "Secchi  Disc  and  Sea  Colour  Observations 
in  the  North  Atlantic  Ocean  During  the  Navado  III  Cruise, 
1964-1965,  Aboard  H.  Neth.  M.S.  'Snellius'  (Royal  Nether- 
lands Navy),"  Netherlands  Journal  of  Sea  Research,  3_(4)  , 
553-563,  1967. 

29.  Voytov,  V.  I.,  and  Dement 'yeva,  M.  G.,  "The  Relative 
Transparency  of  the  Indian  Ocean  Water,"  Oceanology , 
10(1),  35-37,  1970. 


143 


INITIAL  DISTRIBUTION  LIST 

No.  Copies 

1.  Defense  Documentation  Center  12 
Cameron  Station 

Alexandria,  Virginia   22314 

2.  Library,  Code  0212  2 
Naval  Postgraduate  School 

Monterey,  California   93940 

3.  Department  of  Oceanography  3 
Naval  Postgraduate  School 

Monterey,  California   93940 

4.  Dr.  Ned  A.  Ostenso ,  (bde  480D  3 
Office  of  Naval  Research 

Arlington,  Virginia   22217 

5.  Oceanographer  of  the  Navy  1 
Hoffman  II 

200  Stovall  Street 
Alexandria,  Virginia   22332 

6.  Naval  Oceanographic  Office  1 
Attn:   Library,  Code  3330 

Washington,  D.C.   20373 

7.  Dr.  Robert  S.  Andrews  1 
Department  of  Oceanography 

Naval  Postgraduate  School 
Monterey,  California   93940 

8.  Mr.  Roswell  W.  Austin  1 
Visibility  Laboratory 

Scripps  Institution  of  Oceanography 
La  Jolla,  California   92037 

9.  Dr.  Hasong  Pak  1 
Department  of  Oceanography 

Oregon  State  University 
Corvallis,  Oregon   97331 

10.   Dr.  Wayne  V.  Burt  1 

Department  of  Oceanography 
Oregon  State  University 
Corvallis,  Oregon   97331 


144 


11.  Dr.  Peyton  Cunningham 
Department  of  Physics 
Naval  Postgraduate  School 
Monterey,  California   93940 

12.  Dr.  Seibert  Q.  Duntley 
Visibility  Laboratory 

Scripps  Institution  of  Oceanography 
La  Jolla,  California   92037 

13.  Mr.  George  Eck 

Naval  Air  Development  Center 

Johnsville,  Warminster,  Pennsylvania   18974 

14.  Mr.  Gus  Griffin 
Code  14 

Naval  Undersea  Center 
San  Diego,  California 

15.  Dr.  R.  C.  Honey 

Stanford  Research  Institute 
Menlo  Park,  California 

16.  Mr.  Kenneth  V.  Mackenzie 
Naval  Oceanographic  Office 
NRL,  Code  8050 

Maury  Center,  Bldg.  58,  Rm.  117 
4555  Overlook  Avenue,  S.W. 
Washington,  D.C.   20390 

17.  Dr.  Robert  E.  Morrison 
Code  102  -  OSC 

Office  of  Naval  Research 
Arlington,  Virginia   22217 

18.  Mr.  Jerry  Norton 
Oceanography  Department 
Naval  Postgraduate  School 
Monterey,  California   93940 

19.  Mr.  Larry  Ott 

Naval  Air  Development  Center 

Johnsville,  Warminster,  Pennsylvania   18974 

20.  Mr.  Thomas  J.  Shoppie 
Naval  Air  Development  Center 
Johnsville,  Warminster,  Pennsylvania   18974 

21.  Dr.  S.  P.  Tucker 
Department  of  Oceanography 
Naval  Postgraduate  School 
Monterey,  California   93940 


145 


22.  Mr.  John  E.  Tyler 
Visibility  Laboratory 

Scripps  Institution  of  Oceanography 
La  Jolla,  California   92037 

23.  Mr.  Alan  Baldridge,  Librarian 
Hopkins  Marine  Station 
Pacific  Grove,  California   93950 

24  .   Mr.  Ted  Petzold 

Visibility  Laboratory 

Scripps  Institution  of  Oceanography 

La  Jolla,  California   92037 

25.  Mr.  W.  J.  Stachnik 
Optical  Systems 

U.S.  Navy  Underwater  Sound  Laboratory 

Fort  Trumbull 

New  London,  Connecticut   06320 

26.  Dr.  Robert  W.  Holmes 
Marine  Science  Institute 
University  of  California 

Santa  Barbara,  California   93106 

27.  LCDR  Margaret  Anne  Frederick,  USN 
Command  §  Staff  Course 

Naval  War  College 

Newport,  Rhode  Island   02840 

28.  Mr.  Henry  Odum 
Oceanographers  Services  Branch 
National  Oceanographic  Data  Center 
Washington,  D.C.   20390 

29.  Dr.  Ronald  Zaneveld 
Department  of  Oceanography 
Oregon  State  University 
Corvallis,  Oregon   97331 

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W.  R.  Church  Computer  Center 
Naval  Postgraduate  School 
Monterey,  California   93940 

31.  Dr.  Kendall  Carder 
Marine  Sciences  Center 
University  of  South  Florida 
St.  Petersberg,  Florida   33701 

32.  LCDR  Calvin  Dunlap 
Department  of  Oceanography 
Naval  Postgraduate  School 
Monterey,  California   93940 


146 


33.  LT   Gerald   York  3 
1265   Chelsea   Way 

Concord,    California      94521 

34.  Mr.    Andrew   Bakun  1 
National   Marine   Fisheries    Service 

c/o   Fleet   Numerical   Weather   Central 
Monterey,    California      93940 

35*       Office  of  Naval  Research  1 

Code  U60 
Arlington,   Virginia       22217 

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Code  102 -OS 

Arlington,  Virginia       22217 

37.  Office  of  Naval  Research  6 
Code  105 

Arlington,  Virginia       22217 

38.  Dr.  Robert  E.  Stevenson  1 
Scientific  Liason  Office 

Scripps  Institution  of  Oceanography- 
La  Jolla,  California       92037 

39*       Commander,  Oceanographic  Systems,   Pacific  1 

PoO,  Box  1390 
FPO,   San  Francisco,  California       966IO 

k0o       Director,  Naval  Research  Laboratory  6 

Attention:   Library,  Code  2620 
Washington,  D*  C.       20375 

ill*       Commander,   Naval  Oceanographic  Office  1 

Attention: Code  I6I4.O 
Washington,  D.  C.       20390 

i|2.       Commander,  Naval  Oceanographic  Office  1 

Attention:  Code  70 
Washington,  D.  C.       20390 

U3.       NODG/NOAA  1 

Rockville,   Maryland       20882 

bk»       Director  of  Defense  Research  and  Engineering  1 

Office  of  the  Secretary  of  Defense 
Attention:     Assistant  Director  of  Research 
Washington,  D.  C.       20301 

U5.       SIO  Library  .  1 

University  of  California,   San  Diego 
P.   0.  Box  2367 
La  Jolla,   California       92037 


147 


ii60   Department  of  Oceanography  Library 
University  of  Washington 
Seattle,  Washington   98105 

il7»   Department  of  Oceanography  Library 
Oregon  State  University 
Corvallis,  Oregon   97331 


Ut8 


UNCLASSIFIED 


SECURITY   CLASSIFICATION   OF   THIS  PAGE   (When  Datm  Entrred) 


REPORT  DOCUMENTATION  PAGE 

READ  INSTRUCTIONS 
BEFORE  COMPLETING  FORM 

1  1.     REPORT   NUMBER 

2.  GOVT    ACCESSION   NO. 

3.     RECIPIENT'S  CATALOG  NUMBER 

4.     TITLE  (end  Submit) 

STATISTICAL   STUDIES   OF 
WORLD-WIDE    SECCHI    DATA 

5.     TYPE  OF    REPORT   &   PERIOD  COVERED 

Master's    Thesis; 
March    1974 

6.     PERFORMING  ORG.    REPORT  NUMBER 

7.     AUTHORf»; 

Gerald   L.    York;    Lieutenant,    USN 

8.     CONTRACT  OR  GRANT   NUMBERf»; 

ONR  Project   Order 
#   P04-0121 

9.     PERFORMING  ORGANIZATION   NAME   AND   ADDRESS 

Naval    Postgraduate   School 
Monterey,    California    93940 

10.     PROGRAM   ELEMENT.  PROJECT.   TASK 
AREA  &   WORK  UNIT   NUMBERS 

II.     CONTROLLING  OFFICE  NAME   AND  ADDRESS 

Naval    Postgraduate   School 
1     Monterey,    California    93940 

12.     REPORT   DATE 

March   1974 

13.     NUMBER  OF   PAGES 

149 

14.     MONITORING   AGENCY   NAME  &    ADDRESSf//  dl Iterant  from  Controlling  Ollice) 

i 

1 

Naval    Postgraduate   School 
Monterey,    California    93940 

IS.     SECURITY  CLASS,  (ol  thla  report) 

Unclassified 

ISa.     DECLASSIFICATION/ DOWN  GRADING 
SCHEDULE 

16.     DISTRIBUTION   STATEMENT  (otthla  Report) 

Approved   for   public   release;    distribution  unlimited. 

17.     DISTRIBUTION  STATEMENT  (of  the  abstract  entered  In  Block  20,  II  dlllerent  from  Report) 

IB.     SUPPLEMENTARY  NOTES 

19.     KEY  WORDS  (Continue  on  reverae  aide  It  neceaafuy  and  Identity  by  block  number) 

Secchi   Depths                                                    Upwelling    Index 

Sea   Water   Transparency                               Phytoplankton  Wet  Volume 

Correlation   Coefficient   Analysis        Optical    Properties    of   Sea 

Multiple   Regression   analysis                 „        ,    t,   -, 

h                             '                         Forel    Color 

20.     ABSTRACT  (Continue  on  reverae  aide  It  neceaoery  end  Identity  by  block  nunxber) 

An   investigation   was  made    to   determine   possible   correlations 
between   Secchi   depths   and   other   simultaneously  measured   ocean- 
ographic   parameters   which  were   on   file   at   the   National    Ocean- 
ographic   Data   Center   as    of  March   1972.      Sixty- three    one-degree 
subsquares    occurring    in   Japanese    and    Korean   waters    and    eleven 
Atlantic    and   Pacific    open    ocean   areas   were    chosen    for    linear 
correlation    analysis   using   both   sea   surface   data   and  mean 

DD     1  jan'73     1473  EDITION  OF    I  NOV  65  IS  OBSOLETE 

(Page    1) 


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values  of  some  fourteen  different  oceanographic  parameters 
averaged  over  the  Secchi  depth.   In  particular,  oxygen 
measurements  exhibited  trends  toward  an  inverse  proportionality 
with  Secchi  depth  while  temperature  data  indicated  aspossible 
direct  proportionality. 

Time  series  analyses  of  Secchi  depths  were  performed  and 
compared  with  upwelling  indices  computed  for  the  Oregon  coast 
and  near  Monterey  Bay,  California.   An  inverse  proportionality 
and  possible  phase  lag  of  mean  Secchi  depth  compared  to 
monthly  upwelling  index  was  observed.   Multiple  regression 
equations  relating  Secchi  depth  and  upwelling  index  were 
calculated  for  both  locations. 


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S/N      0102-014-6601  SECURITY   CLASSIFICATION   OK   THIS  PAGEfWhen  Deli  Entered) 

150 


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5     0Ci79 

S     OCT79 


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>r Id-wide  Seech,    data. 


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c.l  Statistical    studies  of 

world-wide  Secchi    data. 


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Statistical  .-.Jijdies  of  world-wide  Secchi 

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