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Created December 8, 2023 17:14
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Dynamic Time Warping Distance
function DTW_Distance(X, Y: in Data_Pairs; Window_Size: Positive) return Long_Float is
N : Positive := X'Length;
type Real_Array is array(X'First - Window_Size .. X'Last + Window_Size) of Long_Float;
DTW_Current, DTW_Previous : Real_Array := (others => Long_Float'Last);
begin
DTW_Previous(X'First) := 0.0;
for I in X'First .. X'Last loop
DTW_Current(X'First) := Long_Float'Last; -- Reset current row
for J in Integer'Max(X'First, I - Window_Size) .. Integer'Min(X'Last, I + Window_Size) loop
declare
Cost : Long_Float := Abs(X(I).Value - Y(J).Value);
Min_Cost : Long_Float;
J_Previous : Integer := Integer'Max(J - 1, Y'First);
begin
-- Compute minimum cost considering the DTW constraint
Min_Cost := Long_Float'Min( Long_Float'Min(
DTW_Previous(J_Previous),
DTW_Current(J_Previous)),
(if J > Y'First then DTW_Previous(J) else Long_Float'Last)
);
DTW_Current(J) := Cost + Min_Cost;
end;
end loop;
-- Swap the rows
DTW_Previous := DTW_Current;
end loop;
return 1.0/DTW_Current(N);
end DTW_Distance;
@pukpr
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Author

pukpr commented Mar 17, 2024

QBO

   0.00000052515 :offset:
   0.00042721030 :bg:
-61848.31292393113 :impA:
  -0.27042025913 :impB:
   0.00004749129 :impC:
  -5.06624889545:delA:
   0.41673046762:delB:
   5.56069414121:asym:
  29.82216332779:ann1:
   3.22163185878:ann2:
  13.61975374721:sem1:
  -6.29134706967:sem2:
   0.00000000000:year:
  -0.26328435676:IR:
  -0.00000758199 :mA:
   0.00956660213 :mP:
   0.00029029284 :shiftT:
  -0.00890580483 :init:
---- Tidal ----
   9.10846048884,    0.00000000000,   -0.12514416062,  1, -100,  2.79050648541818E-03
  29.53063118355,   -0.00000000000,   -1.72318198618,  2, -100,  1.86845025073902E-03
  27.09267692660,    0.00000000000,    0.80772084056,  3, -100,  4.88229672606032E-03
   7.08840416916,    0.00000000000,  -12.53103023421,  4, -100,  5.93374911459900E-03
   6.85248390316,    0.00000000000,    0.39417784915,  5, -100,  4.02695836262420E-03
  13.60611040750,   -0.00000000000,   27.51206290561,  6, -100,  9.96137138771244E-03
  13.66083077700,   -0.00000000000,   -0.04130854672,  7, -100,  3.15950537550531E-01
3396.73824406533,   -0.00000000000,   -0.23351253666,  8, -100,  1.02257401905274E-04
   9.12068919638,   -0.00000000000,    2.67716551030,  9, -100,  3.49783651549498E-02
  13.77727494300,    0.00000000000,   -1.97536278209,  10, -100,  1.33681271935878E-02
6793.47648813065,   -0.00000000000,    0.00000000000,  11, -100,  1.13070291251741E-03
  27.55454988600,   -0.00000000000,   -3.86338519910,  12, -100,  8.56878480424540E-02
  27.66676714572,    0.00000000000,    0.72948115171,  13, -100,  7.32073474525244E-03
  27.44323926226,    0.00000000000,    0.22242107349,  14, -100,  4.48644167621154E-03
1616.30271425126,    0.00000000000,   -0.20599880127,  15, -100,  1.80077705282210E-04
   6.85940288609,    0.00000000000,    1.97968663466,  16, -100,  1.48725910109936E-02
   7.09580803010,    0.00000000000,    1.25177762446,  17, -100,  1.71001923022000E-02
   9.55688271175,    0.00000000000,    0.03619988846,  18, -100,  1.54057333778616E-02
   9.13295078376,    0.00000000000,    0.00286600397,  19, -100,  8.56267224470300E-02
2190.35004466729,    0.00000000000,    0.15864620361,  20, -100,  5.75755154727862E-04
  27.21222081500,    2.08556487871,    0.88633054755,  21,  142511,  1.46241794355671E-03
   9.18484996200,    0.00000000000,    0.35803736641,  22, -100,  2.30693273539302E-03
  14.76531559178,   -0.00000000000,   -0.00001334164,  23, -100,  2.52249790446301E-02
  31.81203938377,    0.00000000000,    0.67277396382,  24, -100,  1.54138414232508E-02
   9.54345722900,    0.00000000000,    0.01067710294,  25, -100,  6.38508673119561E-03
  13.63341568476,    0.00000000000,    6.79081406052,  26, -100,  1.28150535931997E-01
  26.98505934729,    0.00000000000,    1.22566969758,  27, -100,  3.14328965091269E-03
   5.64270639917,    0.00000000000,   -3.74419737435,  28, -100,  4.58584097471672E-03
6167.20701373239,   -0.00000000000,   -0.00000000000,  29, -100,  5.59683846443629E-04
 121.74996280000,   -0.00999944016,    0.00000000000,  30, -364,  3.78263050530891E-03
 182.62494420000,    0.00999995209,   -0.99854171706,  31, -58,  2.38313987967772E-02
 365.24988840000,    0.00999950904,    1.05528543479,  32, -22,  1.27525358835182E-02
---- LTE ----
   0.00000000000 :trend:
   0.00000000000 :accel:
  -5.31973450642 :K0:
  66.72941885558 :level:
  -0.83755891328,   12.01202651108,    3.09865093123 0
 104.53032188556,    3.84443428719,   -1.42231771157 1
1463.42450639786,   29.55856492498,   -1.55491621027 14

DTW 0.7779370543 0.5750998632 5 1
0.00462316431:dLOD:
PS C:\Users\pp\github\pukpr\GeoEnergyMath\qbo> ..\io\backup qbo70dtw9nonlin1bCCslope1960-1975c-modulate3

Modulate

image

   0.00000050357 :offset:
   0.00042708968 :bg:
15809.35511033526 :impA:
   0.34349992564 :impB:
   0.00008628564 :impC:
  -5.00632168787:delA:
   0.51742748180:delB:
   5.51623098395:asym:
  47.72320946227:ann1:
   3.56491763407:ann2:
  12.06625308983:sem1:
  -3.40127899879:sem2:
   0.00000000000:year:
  -0.29361343110:IR:
  -0.00000297545 :mA:
   0.00758471236 :mP:
   0.00029031433 :shiftT:
  -0.00014940222 :init:
---- Tidal ----
   9.10846048884,    0.00000000000,   -0.12514416062,  1, -100,  2.79050648541818E-03
  29.53063118355,   -0.00000000000,   -1.72318198618,  2, -100,  1.86845025073902E-03
  27.09267692660,    0.00000000000,    0.80772084056,  3, -100,  4.88229672606032E-03
   7.08840416916,    0.00000000000,  -12.53103023421,  4, -100,  5.93374911459900E-03
   6.85248390316,    0.00000000000,    0.39417784915,  5, -100,  4.02695836262420E-03
  13.60611040750,   -0.00000000000,   27.51227687157,  6, -100,  9.96137138771244E-03
  13.66083077700,   -0.00000000000,   -0.04130854672,  7, -100,  3.15950537550531E-01
3396.73824406533,   -0.00000000000,   -0.23350581093,  8, -100,  1.02257401905274E-04
   9.12068919638,   -0.00000000000,    2.67716551030,  9, -100,  3.49783651549498E-02
  13.77727494300,    0.00000000000,   -1.97536278209,  10, -100,  1.33681271935878E-02
6793.47648813065,   -0.00000000000,    0.00000000000,  11, -100,  1.13070291251741E-03
  27.55454988600,   -0.00000000000,   -3.86338519910,  12, -100,  8.56878480424540E-02
  27.66676714572,    0.00000000000,    0.72947998520,  13, -100,  7.32073474525244E-03
  27.44323926226,    0.00000000000,    0.22242049638,  14, -100,  4.48644167621154E-03
1616.30271425126,    0.00000000000,   -0.20599880127,  15, -100,  1.80077705282210E-04
   6.85940288609,    0.00000000000,    1.97968663466,  16, -100,  1.48725910109936E-02
   7.09580803010,    0.00000000000,    1.25177762446,  17, -100,  1.71001923022000E-02
   9.55688271175,    0.00000000000,    0.03619988846,  18, -100,  1.54057333778616E-02
   9.13295078376,    0.00000000000,    0.00286607271,  19, -100,  8.56267224470300E-02
2190.35004466729,    0.00000000000,    0.15864620361,  20, -100,  5.75755154727862E-04
  27.21222081500,    2.08554642224,    0.86904664652,  21,  142509,  1.46241794355671E-03
   9.18484996200,    0.00000000000,    0.35803736641,  22, -100,  2.30693273539302E-03
  14.76531559178,   -0.00000000000,   -0.00001334164,  23, -100,  2.52249790446301E-02
  31.81203938377,    0.00000000000,    0.67277396382,  24, -100,  1.54138414232508E-02
   9.54345722900,    0.00000000000,    0.01067710294,  25, -100,  6.38508673119561E-03
  13.63341568476,    0.00000000000,    6.79081406052,  26, -100,  1.28150535931997E-01
  26.98505934729,    0.00000000000,    1.22566969758,  27, -100,  3.14328965091269E-03
   5.64270639917,    0.00000000000,   -3.74419737435,  28, -100,  4.58584097471672E-03
6167.20701373239,   -0.00000000000,   -0.00000000000,  29, -100,  5.59683846443629E-04
 121.74996280000,   -0.00000000000,    0.00000000000,  30, -100,  3.78263050530891E-03
 182.62494420000,    0.00000000000,   -0.00000000000,  31, -100,  2.38313987967772E-02
 365.24988840000,    0.00000000000,    0.05525366161,  32, -100,  1.27525358835182E-02
---- LTE ----
   0.00000000000 :trend:
   0.00000000000 :accel:
  -5.12046051930 :K0:
  41.53823862648 :level:
 131.84415605182,    3.78659169373,   -2.29738184524 1
1845.81818472547,   40.46074977441,   -2.47410416480 14

DTW 0.7828456502 0.5234144624 3 1
0.00408550138:dLOD:
PS C:\Users\pp\github\pukpr\GeoEnergyMath\qbo> ..\io\restore qbo70dtw9nonlin1bCCslope1960-1975c-modulate2

image

   0.00000024070 :offset:
   0.00042721816 :bg:
13485.68807671407 :impA:
   0.43724578876 :impB:
   0.00005491124 :impC:
  -5.00632878514:delA:
   0.51742748180:delB:
   5.51623294765:asym:
  50.00571855520:ann1:
   3.37677383762:ann2:
  36.10778661021:sem1:
  -2.63741324282:sem2:
   0.00000000000:year:
  -0.40106669650:IR:
  -0.00000138473 :mA:
   0.00758464815 :mP:
   0.00029047042 :shiftT:
   0.00000000794 :init:
---- Tidal ----
   9.10846048884,    0.00000000000,   -0.12514416062,  1, -100,  2.79050648541818E-03
  29.53063118355,   -0.00000000000,   -1.72318198618,  2, -100,  1.86845025073902E-03
  27.09267692660,    0.00000000000,    0.80772084056,  3, -100,  4.88229672606032E-03
   7.08840416916,    0.00000000000,  -12.53103023421,  4, -100,  5.93374911459900E-03
   6.85248390316,    0.00000000000,    0.39417784915,  5, -100,  4.02695836262420E-03
  13.60611040750,   -0.00000000000,   27.51227687157,  6, -100,  9.96137138771244E-03
  13.66083077700,   -0.00000000000,   -0.04130854672,  7, -100,  3.15950537550531E-01
3396.73824406533,   -0.00000000000,   -0.23350581093,  8, -100,  1.02257401905274E-04
   9.12068919638,   -0.00000000000,    2.67716551030,  9, -100,  3.49783651549498E-02
  13.77727494300,    0.00000000000,   -1.97536278209,  10, -100,  1.33681271935878E-02
6793.47648813065,   -0.00000000000,    0.00000000000,  11, -100,  1.13070291251741E-03
  27.55454988600,   -0.00000000000,   -3.86338143846,  12, -100,  8.56878480424540E-02
  27.66676714572,    0.00000000000,    0.72947998520,  13, -100,  7.32073474525244E-03
  27.44323926226,    0.00000000000,    0.22242049638,  14, -100,  4.48644167621154E-03
1616.30271425126,    0.00000000000,   -0.20599880127,  15, -100,  1.80077705282210E-04
   6.85940288609,    0.00000000000,    1.97968663466,  16, -100,  1.48725910109936E-02
   7.09580803010,    0.00000000000,    1.25177762446,  17, -100,  1.71001923022000E-02
   9.55688271175,    0.00000000000,    0.03619990627,  18, -100,  1.54057333778616E-02
   9.13295078376,    0.00000000000,    0.00286607271,  19, -100,  8.56267224470300E-02
2190.35004466729,    0.00000000000,    0.15864620361,  20, -100,  5.75755154727862E-04
  27.21222081500,    2.08560961015,   -1.03733651382,  21,  142514,  1.46241794355671E-03
   9.18484996200,    0.00000000000,    0.35803736641,  22, -100,  2.30693273539302E-03
  14.76531559178,   -0.00000000000,   -0.00001334164,  23, -100,  2.52249790446301E-02
  31.81203938377,    0.00000000000,    0.67277396382,  24, -100,  1.54138414232508E-02
   9.54345722900,    0.00000000000,    0.01067710294,  25, -100,  6.38508673119561E-03
  13.63341568476,    0.00000000000,    6.79081406052,  26, -100,  1.28150535931997E-01
  26.98505934729,    0.00000000000,    1.22566969758,  27, -100,  3.14328965091269E-03
   5.64270639917,    0.00000000000,   -3.74419737435,  28, -100,  4.58584097471672E-03
6167.20701373239,   -0.00000000000,   -0.00000000000,  29, -100,  5.59683846443629E-04
 121.74996280000,   -0.00000000000,    0.00000000000,  30, -100,  3.78263050530891E-03
 182.62494420000,    0.00000000000,   -0.00000000000,  31, -100,  2.38313987967772E-02
 365.24988840000,    0.00000000000,    0.05525366161,  32, -100,  1.27525358835182E-02
---- LTE ----
   0.00000000000 :trend:
   0.00000000000 :accel:
  17.18180436279 :K0:
-189.21281194409 :level:
 131.84527227755,   16.62844815969,   -1.62404438327 1
1845.83381188574,   62.80256334537,    1.17759157215 14

DTW 0.8571221660 0.6829876270 4 1
-0.01274080721:dLOD:
PS C:\Users\pp\github\pukpr\GeoEnergyMath\qbo> ..\io\backup qbo30dtw9nonlin1bCCslope1960-1975c-modulate2

image

@pukpr
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pukpr commented Mar 22, 2024

QBO

opened up the tidal factors, used a TROPMOD to modulate the forcing

Name                           Value
----                           -----
DER                            false
DTW                            9
LOCKT                          false
MODULATION                     false
NLOOPS                         20
TRIGGER                        0.8
TROPMOD                        TRUE

Status: 6 2 0.80854 0.26421 # 10380

  -0.01187209210 :offset:
   0.00007918569 :bg:
  -0.30543144649 :impA:
   0.18220101263 :impB:
  -0.50084178527 :impC:
  -7.41400755994:delA:
   0.21610571019:delB:
   4.98387383464:asym:
 -22.52879505022:ann1:
   2.74208745992:ann2:
 -12.01363284848:sem1:
   1.70942100225:sem2:
   0.00000000000:year:
  -0.48653640628:IR:
  -0.01761355569 :mA:
   0.04818019546 :mP:
  -0.00212365446 :shiftT:
  10.75497748823 :init:
---- Tidal ----
   9.10846048884,    0.15462093459,    1.10314207077,  1,  5440,  2.79123222849621E-03
  27.32166155400,   -0.63136570859,   -1.25585721213,  2, -330102,  1.91321853843737E-04
  27.09267692660,   -0.01413466714,   -5.47306845516,  3, -389,  4.89471441987877E-03
   7.08840416916,    0.09766311709,   -2.76554893741,  4,  1546,  5.93401464429777E-03
   6.85248390316,    0.03103063604,   -0.00000000031,  5,  671,  4.02706576290467E-03
  13.60611040750,   -0.11609695869,  -11.13271879795,  6, -1266,  9.96062851641951E-03
  13.66083077700,    0.00000000000,   -0.00000000008,  7, -100,  3.15952729008514E-01
3396.73824406533,    0.18180163625,    1.04636110295,  8,  20548,  8.80460796969011E-04
   9.12068919638,   -0.01954199959,    7.95179822624,  9, -156,  3.49749354389621E-02
  13.77727494300,    0.07353067624,    6.60360311543,  10,  450,  1.33695878972600E-02
6793.47648813065,    0.56600509874,    6.55282661162,  11,  48331,  1.16867663891999E-03
  27.55454988600,   -0.21979818025,   -6.61959315314,  12, -357,  8.56683266097690E-02
  27.66676714572,    0.01497836937,   -5.52701715683,  13,  105,  7.31041143483688E-03
  27.44323926226,    0.05393029285,   -2.91796792824,  14,  1107,  4.46769237263624E-03
1616.30271425126,   -0.39511258154,    0.00000000000,  15, -245531,  1.60987315432312E-04
   6.85940288609,    0.03024541217,   -2.12383765092,  16,  103,  1.48717596313426E-02
   7.09580803010,    0.05060826053,   -1.89490784376,  17,  196,  1.70990820443567E-02
   9.55688271175,   -0.41023859609,   -1.63198484347,  18, -2761,  1.54176083379448E-02
   9.13295078376,    0.00654733842,   -1.35954375361,  19, -92,  8.56302553551740E-02
2190.35004466729,   -0.02609727241,   -2.54476142812,  20, -4589,  5.81348969454596E-04
  27.21222081500,   -3.72025089278,    0.44256112930,  21, -254389,  1.46300140509220E-03
   9.18484996200,    0.10161937965,   -1.94155673783,  22,  4302,  2.30829619876110E-03
  14.76531559178,    0.07692898557,   -7.86523893048,  23,  205,  2.52227388336489E-02
  31.81203938377,    0.37304579680,    2.10512290720,  24,  2320,  1.54142339743944E-02
   9.54345722900,    0.23520779775,    4.02704616190,  25,  3594,  6.36672205693449E-03
  13.63341568476,    0.10734172722,   -1.71780883670,  26, -16,  1.28149094818540E-01
  26.98505934729,    0.11463367637,   13.98430212684,  27,  3557,  3.13432950092502E-03
   5.64270639917,    0.07613828749,   -6.70308775663,  28,  1560,  4.58619208425355E-03
6167.20701373239,    0.02754711216,   -0.00000000000,  29,  5764,  4.69740335448185E-04
 121.74996280000,   -0.00369686626,    0.00000000000,  30, -198,  3.78125839661756E-03
   9.61372680331,    0.00000000000,   -0.22430322614,  31, -100,  6.81008273178327E-03
3232.60542850251,    0.00000000000,    3.55655706082,  32, -100,  9.54420969983109E-04
---- LTE ----
   0.00000000000 :trend:
   0.00000000000 :accel:
  -6.89986722887 :K0:
 -67.44223116855 :level:
  -0.01670263724,    1.46203638074,    1.04651542161 1
  -0.18372900961,   25.43698455451,   -1.34023813057 11
  -0.46767384264,   42.78379649647,    2.56871236584 28
  -0.36745801922,   63.83662812853,    0.54044340369 22
  -0.20043164685,   26.61006516094,   -0.82974002775 12
  -0.53448439159,   47.72343173280,    3.03110060525 32
  -0.50107911711,   67.93726526317,   -3.13747952349 30
  -0.31735010751,   43.03260785123,   -2.15191167932 19

CC 0.8085827667 0.2565442346 5 1
-0.00631174220:dLOD:
PS C:\Users\pp\github\pukpr\GeoEnergyMath\qbo> ..\io\backup qbo30dtw9nonlin1bCCslope1960-1975c-modulate2_tropphase1-wow3b-harmmedium1

image

Status: 6 2 0.85864 0.44964 # 60

  -0.00932176979 :offset:
   0.00007826391 :bg:
  -0.53880093419 :impA:
  -0.27917873035 :impB:
  -0.32260665742 :impC:
  -7.40067409925:delA:
   0.21164376847:delB:
   4.91117260116:asym:
  -8.06732871748:ann1:
   6.00294940048:ann2:
  -6.46924735345:sem1:
  -0.95587571601:sem2:
   0.00000000000:year:
  -0.37056768453:IR:
  -0.02508610264 :mA:
  -0.03766876593 :mP:
  -0.00209664887 :shiftT:
  10.63211479601 :init:
---- Tidal ----
   9.10846048884,    0.10816860713,    0.72234882658,  1,  3775,  2.79123222849621E-03
  27.32166155400,   -0.62816945374,   -1.30563269714,  2, -328431,  1.91321853843737E-04
  27.09267692660,   -0.02208594404,   15.81650804622,  3, -551,  4.89471441987877E-03
   7.08840416916,    0.02882915784,   -0.97792654114,  4,  386,  5.93401464429777E-03
   6.85248390316,    0.05687909468,   -5.00199736225,  5,  1312,  4.02706576290467E-03
  13.60611040750,   -0.09546387141,   -6.50999662815,  6, -1058,  9.96062851641951E-03
  13.66083077700,    0.01037186217,    0.00000034234,  7, -97,  3.15952729008514E-01
3396.73824406533,    0.18342588072,    0.72874704033,  8,  20733,  8.80460796969011E-04
   9.12068919638,   -0.03751571628,   -5.33851338324,  9, -207,  3.49749354389621E-02
  13.77727494300,    0.11457749821,    7.44093799058,  10,  757,  1.33695878972600E-02
6793.47648813065,    0.62838926564,    6.58609193210,  11,  53669,  1.16867663891999E-03
  27.55454988600,   -0.22560298357,   -6.54463825914,  12, -363,  8.56683266097690E-02
  27.66676714572,    0.03509254841,    2.91738549012,  13,  380,  7.31041143483688E-03
  27.44323926226,    0.05279643873,   -1.65818418057,  14,  1082,  4.46769237263624E-03
1616.30271425126,   -0.36833210908,    0.03454429117,  15, -228896,  1.60987315432312E-04
   6.85940288609,    0.01027403714,   -0.26352338240,  16, -31,  1.48717596313426E-02
   7.09580803010,    0.05850489402,    5.29668666693,  17,  242,  1.70990820443567E-02
   9.55688271175,   -0.23771140402,   -1.57697342703,  18, -1642,  1.54176083379448E-02
   9.13295078376,    0.00975653268,   -2.17077082872,  19, -89,  8.56302553551740E-02
2190.35004466729,   -0.05059044336,   -3.08283873265,  20, -8802,  5.81348969454596E-04
  27.21222081500,   -3.68116913055,    1.26762103011,  21, -251718,  1.46300140509220E-03
   9.18484996200,   -0.05319498153,   -0.45482943323,  22, -2405,  2.30829619876110E-03
  14.76531559178,    0.08081340851,   -8.49344792749,  23,  220,  2.52227388336489E-02
  31.81203938377,    0.30471993486,    2.24859266707,  24,  1877,  1.54142339743944E-02
   9.54345722900,    0.11697899863,    4.48900958387,  25,  1737,  6.36672205693449E-03
  13.63341568476,    0.12132315321,   -3.21232058459,  26, -5,  1.28149094818540E-01
  26.98505934729,    0.13031305601,   14.78216793334,  27,  4058,  3.13432950092502E-03
   5.64270639917,    0.05669528835,   -5.64414169236,  28,  1136,  4.58619208425355E-03
6167.20701373239,    0.01174153062,   -0.00000000000,  29,  2400,  4.69740335448185E-04
 121.74996280000,   -0.02089536977,    0.00000000000,  30, -653,  3.78125839661756E-03
   9.61372680331,    0.00000000000,   -0.26744312115,  31, -100,  6.81008273178327E-03
3232.60542850251,    0.00000000000,    3.93740383075,  32, -100,  9.54420969983109E-04
---- LTE ----
   0.00000000000 :trend:
   0.00000000000 :accel:
   3.05337292700 :K0:
  41.43325843262 :level:
   0.01969716005,   13.47256195427,   -2.34047982628 1
   0.09848580025,   21.27421344794,    0.67667576253 5
   0.13788012035,   32.68645000678,    2.45446307324 7
  34.07608688650,    7.94046044707,    1.62805424530 1730
   0.76818924195,   23.08055214915,   -2.40680685974 39
   0.25606308065,   21.76670584093,   -0.63063521799 13
   7.22885773835,    6.51383404719,    0.65140263388 367
  76.89771283520,   26.49771100741,   -2.27566315229 3904

CC 0.8586438434 0.4494645872 6 1
-0.02273168021:dLOD:
PS C:\Users\pp\github\pukpr\GeoEnergyMath\qbo> ..\io\restore qbo70dtw9nonlin1bCCslope1960-1975c-modulate2_tropphase1-wow3b-harmmHigh

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pukpr commented Mar 29, 2024

QBO

This uses an extra Draconic 27.103 to model a modulated 18.6

Name                           Value
----                           -----
CLIMATE_INDEX                  amo_1870_extend.dat
DER                            false
DTW                            9
LOCKT                          false
MODULATION                     false
NLOOPS                         20
TRIGGER                        0.8
TROPMOD                        true

Last is the phase on LTE tide list, last 2 terms mild here

  -0.00593284200 :offset:
   0.00010595578 :bg:
  16.70487025426 :impA:
   0.00000000000 :impB:
  -0.01768395199 :impC:
  -6.03032948622:delA:
   0.39686191391:delB:
   5.58254635863:asym:
  39.41424469070:ann1:
  -7.16569473114:ann2:
  10.45431605797:sem1:
   4.36696354790:sem2:
   0.00000000000:year:
  -0.28558161360:IR:
  -0.00145168893 :mA:
   0.04694629226 :mP:
  -0.00161292135 :shiftT:
   4.18547646406 :init:
---- Tidal ----
   9.10846048884,    0.00000000000,   -0.07054044583,  1, -100,  2.79255036732904E-03
  27.32166155400,   -0.86010105730,   -1.15852747055,  2, -423352,  2.03212430674694E-04
  27.09267692660,    0.00000000000,  224.31578164161,  3, -100,  2.57458694754486E-03
   7.08840416916,    0.00000000000,   -0.00016284119,  4, -100,  5.93541895994478E-03
   6.85248390316,    0.00000000000,   -0.80539814671,  5, -100,  4.02809219566554E-03
  13.60611040750,   -0.20797969181,   -7.41428266645,  6, -2188,  9.95836902279586E-03
  13.66083077700,   -0.00589074958,    0.00000000000,  7, -102,  3.15954209400200E-01
3396.73824406533,   -0.12454768364,    1.55853285400,  8, -14104,  8.89393229118896E-04
   9.12068919638,    0.00000000000,   -0.78765130561,  9, -100,  3.49742406419276E-02
  13.77727494300,    0.43008442176,    7.38272356522,  10,  3117,  1.33685442195526E-02
6793.47648813065,    0.77839704551,    0.24402278455,  11,  66059,  1.17656391208136E-03
  27.55454988600,   -0.09719471528,   -6.81987495278,  12, -213,  8.56490821251324E-02
  27.66676714572,    0.02409718678,   -0.06764686337,  13,  232,  7.24921305822874E-03
  27.44323926226,    0.28876791610,   -0.24461127491,  14,  6287,  4.52092864420369E-03
1616.30271425126,   -0.53847989034,   -0.36233038917,  15, -328308,  1.64066873238041E-04
   6.85940288609,    0.00000000000,   -0.00821934789,  16, -100,  1.48716008387392E-02
   7.09580803010,    0.00000000000,    4.78552493283,  17, -100,  1.70976445185897E-02
   9.55688271175,    0.00000000000,   -5.17299223002,  18, -100,  1.54175111031986E-02
   9.13295078376,    0.00000000000,    2.03434863607,  19, -100,  8.56293146940665E-02
2190.35004466729,   -0.13966980114,    0.73185917345,  20, -23705,  5.91691523072884E-04
  27.21222081500,   -3.96188959867,    1.88907216887,  21, -254503,  1.55732582256794E-03
   9.18484996200,    0.00000000000,    0.66947734847,  22, -100,  2.30955984210512E-03
  14.76531559178,    0.19908390803,   -2.19020281177,  23,  689,  2.52221574337599E-02
  27.10365333842,    0.55345355016,    1.27955131408,  24,  20013,  2.75178853615112E-03
   9.54345722900,    0.00000000000,    0.97435271942,  25, -100,  6.36484684945316E-03
  13.63341568476,    0.00000000000,   -0.61808252220,  26, -100,  1.28149080323624E-01
  26.98505934729,    0.00000000000,    8.34945289152,  27, -100,  3.26628089865979E-03
   5.64270639917,    0.00000000000,   -6.73546010096,  28, -100,  4.58754963191215E-03
6167.20701373239,    0.00000000000,   -0.00000000000,  29, -100,  4.62772859667075E-04
 121.74996280000,   -0.04015959337,    0.00000000000,  30, -1164,  3.77414879695983E-03
   9.61372680331,    0.00000000000,   -0.01820181529,  31, -100,  6.81177010233392E-03
3232.60542850251,    0.00000000000,   -0.11032518065,  32, -100,  9.53459007176714E-04
---- LTE ----
   0.00000000000 :trend:
   0.00000000000 :accel:
   6.66726282118 :K0:
 -53.71455294023 :level:
   0.01950824100,   17.63075601013,    2.20435527299 1
   0.09754120500,  140.97159775972,    2.94650432153 5
   0.17557416900,   64.37837372013,    2.21440995697 9

CC 0.4949393293 0.7824306067 4 1
-0.01954578311:dLOD:
PS C:\Users\pp\github\pukpr\GeoEnergyMath\qbo> ..\io\backup qbo30dtw9nonlin1bCCslope1965-1980c-modulate2_tropphase1-wow3b-harmmHighccDRACPPwow3c

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pukpr commented Mar 29, 2024

  -0.00492024185 :offset:
   0.00010797187 :bg:
   0.38293433305 :impA:
   0.00000000000 :impB:
  -0.25020864107 :impC:
  -6.05238020011:delA:
   0.40108977232:delB:
   5.59707274492:asym:
  25.70105618509:ann1:
 -25.91153550621:ann2:
   6.97328477955:sem1:
   4.41118135196:sem2:
   0.00000681545:year:
  -0.26206449689:IR:
  -0.00621766881 :mA:
  -0.06169818791 :mP:
  -0.00174674255 :shiftT:
   3.97447280797 :init:
---- Tidal ----
   9.10846048884,    0.00000000000,   -0.12657354295,  1, -100,  2.78451965764581E-03
  27.32166155400,   -1.05052412316,   -1.16534073921,  2, -502498,  2.09102135286770E-04
  27.09267692660,    0.00000000000,  388.88328197908,  3, -100,  2.56273786573239E-03
   7.08840416402,    0.00000000000,   -0.00015722181,  4, -100,  5.92946297898359E-03
   6.85248390316,    0.00000000000,   -1.14248858385,  5, -100,  4.02042052291495E-03
  13.60611040750,   -0.16271950132,   -7.46548479781,  6, -1666,  1.03938909099611E-02
  13.66083077700,    0.03392821481,    0.00000000000,  7, -88,  2.82850640854756E-01
3396.73824406533,   -0.23419142648,    1.05386903616,  8, -24453,  9.61658143731111E-04
   9.12068919638,    0.00000000000,   -0.36445295411,  9, -100,  3.49815334901444E-02
  13.77727494300,    0.26012170393,    7.30088810511,  10,  1793,  1.37394448097478E-02
6793.47648813065,    0.56143575678,    0.13364403608,  11,  69822,  8.02945952880463E-04
  27.55454988600,   -0.07673159645,   -7.09089096371,  12, -190,  8.56391439554938E-02
  27.66676714572,    0.07715647056,   -1.97462527621,  13,  965,  7.24259812886263E-03
  27.44323926226,    0.10329942103,   -0.75741743556,  14,  2187,  4.51610473917296E-03
1616.30271425126,   -0.81308001912,   -0.37437466338,  15, -466937,  1.74168030048775E-04
   6.85940288609,    0.00000000000,   -0.00681324164,  16, -100,  1.48739559767528E-02
   7.09580802495,    0.00000000000,    7.82534889876,  17, -100,  1.71071118060148E-02
   9.55688270241,    0.00000000000,   -5.86980670281,  18, -100,  1.53933272410734E-02
   9.13295078376,    0.00000000000,    2.49332475490,  19, -100,  8.56347999538049E-02
2190.35004466729,   -0.39672414619,    0.72980855944,  20, -66817,  5.94635740479373E-04
  27.21222081500,   -3.88267377106,    1.88258610030,  21, -247272,  1.57084176491640E-03
   9.18484996200,    0.00000000000,   -1.23137152741,  22, -100,  2.30043071843251E-03
  14.76531556950,    0.28597901283,   -2.25945386250,  23,  1038,  2.51318123522465E-02
  27.10365333842,    0.50914189025,    1.44793978441,  24,  18255,  2.77388129632719E-03
   9.54345721969,    0.00000000000,   -0.03401818429,  25, -100,  6.39847100716882E-03
  13.63341568476,   -0.04056889761,    0.74526578405,  26, -131,  1.29658410665521E-01
  26.98505934729,    0.00000000000,   12.70066391193,  27, -100,  3.25822970632731E-03
  13.69115772864,    0.05991760987,    7.40843258950,  28,  1989,  2.86806922493642E-03
  13.66362090133,    0.02689993930,   -0.00000000000,  29, -32,  3.94293239097219E-02
 121.74996507182,    0.00058772341,    0.00000000000,  30, -84,  3.76966810656669E-03
  13.71880577217,    0.06827499335,    1.63764783143,  31,  6741,  9.97959603714491E-04
3232.60542850251,    0.15061856705,    1.59446983322,  32,  15230,  9.82531753367313E-04
---- LTE ----
   0.00000000000 :trend:
   0.00000000000 :accel:
   5.75923120128 :K0:
 -51.53603492246 :level:
  -0.01985192015,   26.40458851750,    1.53849653828 1
  -0.09925960074,  147.76600448694,    0.63077984977 5
  -0.19851920149,   65.26159274898,    1.22978054634 10
  -1.05215176788,   82.27879929358,    1.57985202978 53
  -0.67496528505,   72.85182223860,   -1.96203495867 34

CC 0.7854807792 0.8694321069 6 1
-0.03014148209:dLOD:
PS C:\Users\pp\github\pukpr\GeoEnergyMath\qbo> ..\io\backup qbo30dtw9nonlin1bCCslope1965-1980c-modulate2_tropphase1-wow3b-harmmHighccDRACPPwow.5gwow4

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pukpr commented Mar 29, 2024

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pukpr commented Mar 29, 2024

Comparison to dLOD
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pukpr commented Mar 29, 2024

QBO 50

  -0.00491381574 :offset:
   0.00010336716 :bg:
   0.97414303924 :impA:
   0.00000000000 :impB:
  -0.35326854189 :impC:
  -6.05750520676:delA:
   0.36512732273:delB:
   5.60511166336:asym:
  20.05568536080:ann1:
  -7.64379082933:ann2:
 -25.14045761882:sem1:
   3.64730203070:sem2:
   0.00000610268:year:
  -0.47968685061:IR:
  -0.00421995470 :mA:
  -0.06078556595 :mP:
  -0.00172253840 :shiftT:
   4.56029049797 :init:
---- Tidal ----
   9.10846048884,    0.00000000000,   -0.12177411590,  1, -100,  2.78451965764581E-03
  27.32166155400,   -1.06189872906,   -1.15089871381,  2, -507937,  2.09102135286770E-04
  27.09267692660,    0.00000000000,  395.71680682000,  3, -100,  2.56273786573239E-03
   7.08840416456,    0.00000000000,   -0.00014273759,  4, -100,  5.92946297898359E-03
   6.85248390316,    0.00000000000,   -1.14247924321,  5, -100,  4.02042052291495E-03
  13.60611040750,   -0.16164871068,   -7.52163149376,  6, -1655,  1.03938909099611E-02
  13.66083077700,    0.04382558455,    0.00000000000,  7, -85,  2.82850640854756E-01
3396.73824406533,   -0.23749313890,    1.25323190851,  8, -24796,  9.61658143731111E-04
   9.12068919638,    0.00000000000,   -0.37497679769,  9, -100,  3.49815334901444E-02
  13.77727494300,    0.27476949921,    7.06195965325,  10,  1900,  1.37394448097478E-02
6793.47648813065,    0.55961868566,    0.16119110202,  11,  69596,  8.02945952880463E-04
  27.55454988600,   -0.08746944584,   -7.09622444863,  12, -202,  8.56391439554938E-02
  27.66676714572,    0.07452179899,   -1.81808090132,  13,  929,  7.24259812886263E-03
  27.44323926226,    0.11450024629,   -0.85206773316,  14,  2435,  4.51610473917296E-03
1616.30271425126,   -0.78264456052,   -0.55063890553,  15, -449462,  1.74168030048775E-04
   6.85940288609,    0.00000000000,   -0.00699997075,  16, -100,  1.48739559767528E-02
   7.09580802549,    0.00000000000,    7.82534889876,  17, -100,  1.71071118060148E-02
   9.55688270339,    0.00000000000,  -14.36091980531,  18, -100,  1.53933272410734E-02
   9.13295078376,    0.00000000000,    2.12166585493,  19, -100,  8.56347999538049E-02
2190.35004466729,   -0.36462736019,    0.67829229367,  20, -61419,  5.94635740479373E-04
  27.21222081500,   -3.94641013217,    1.88710545410,  21, -251329,  1.57084176491640E-03
   9.18484996200,    0.00000000000,   -1.22685055578,  22, -100,  2.30043071843251E-03
  14.76531557183,    0.29691531024,   -2.24752198459,  23,  1081,  2.51318123522465E-02
  27.10365333842,    0.49637863853,    1.48655127907,  24,  17795,  2.77388129632719E-03
   9.54345722066,    0.00000000000,   -0.03403874535,  25, -100,  6.39847100716882E-03
  13.63341568476,   -0.05029462756,    0.83025051983,  26, -139,  1.29658410665521E-01
  26.98505934729,    0.00000000000,   12.70047190125,  27, -100,  3.25822970632731E-03
  13.69115772864,    0.06887137921,    7.46332424172,  28,  2301,  2.86806922493642E-03
  13.66362090133,    0.02699126530,   -0.00000000000,  29, -32,  3.94293239097219E-02
 121.74996483423,    0.00000000000,    0.00000000000,  30, -100,  3.76966810656669E-03
  13.71880577217,    0.05888350516,    2.13713344191,  31,  5800,  9.97959603714491E-04
3232.60542850251,    0.14614253501,    1.54129623216,  32,  14774,  9.82531753367313E-04
---- LTE ----
   0.00000000000 :trend:
   0.00000000000 :accel:
   3.59289422821 :K0:
   3.77861545791 :level:
  -0.02152806341,   14.50226607547,    2.07735760852 1
  -0.68889802916,   34.88885263185,    1.05117503625 32
  -1.14098736080,   80.04440362509,   -0.83414177878 53
  -0.19375257070,   31.19635311135,    1.91060886148 9
  -0.08611225365,   40.29190611880,   -1.11557084615 4

DTW 0.6053955437 0.7182575374 8 1
-0.03113165690:dLOD:
PS C:\Users\pp\github\pukpr\GeoEnergyMath\qbo> ..\io\backup qbo50dtw9nonlin1bCCslope1965-1980c-modulate2_tropphase1-wow3b-harmmHighccDRACPPwow.5gwow4lockdtw

image

  -0.00488488935 :offset:
   0.00010412766 :bg:
   0.98909665176 :impA:
   0.00000000000 :impB:
  -0.37080088981 :impC:
  -6.06005259827:delA:
   0.36512732273:delB:
   5.60456169467:asym:
   4.79353173508:ann1:
  -8.16854926954:ann2:
 -12.81622934756:sem1:
   5.67387645926:sem2:
   0.00000341254:year:
  -0.42697647989:IR:
  -0.00364884575 :mA:
  -0.06080693139 :mP:
  -0.00172110700 :shiftT:
   4.47183655929 :init:
---- Tidal ----
   9.10846048884,    0.00000000000,   -0.12177411590,  1, -100,  2.78451965764581E-03
  27.32166155400,   -1.06132965184,   -1.15243088745,  2, -507665,  2.09102135286770E-04
  27.09267692660,    0.00000000000,  390.89092711025,  3, -100,  2.56273786573239E-03
   7.08840416658,    0.00000000000,   -0.00014273759,  4, -100,  5.92946297898359E-03
   6.85248390316,    0.00000000000,   -1.14247924321,  5, -100,  4.02042052291495E-03
  13.60611040750,   -0.16304226198,   -7.51802112432,  6, -1669,  1.03938909099611E-02
  13.66083077700,    0.04452582298,    0.00000000000,  7, -84,  2.82850640854756E-01
3396.73824406533,   -0.23599639724,    1.22198790978,  8, -24641,  9.61658143731111E-04
   9.12068919638,    0.00000000000,   -0.37269972292,  9, -100,  3.49815334901444E-02
  13.77727494300,    0.27742442493,    7.07378838777,  10,  1919,  1.37394448097478E-02
6793.47648813065,    0.55900051690,    0.16196621366,  11,  69519,  8.02945952880463E-04
  27.55454988600,   -0.08591982858,   -7.07668251589,  12, -200,  8.56391439554938E-02
  27.66676714572,    0.07365933898,   -1.82591004949,  13,  917,  7.24259812886263E-03
  27.44323926226,    0.11293369712,   -0.81311565335,  14,  2401,  4.51610473917296E-03
1616.30271425126,   -0.77779409204,   -0.54806970381,  15, -446677,  1.74168030048775E-04
   6.85940288609,    0.00000000000,   -0.00700595852,  16, -100,  1.48739559767528E-02
   7.09580802752,    0.00000000000,    7.82534889876,  17, -100,  1.71071118060148E-02
   9.55688270707,    0.00000000000,  -14.36091980531,  18, -100,  1.53933272410734E-02
   9.13295078376,    0.00000000000,    2.12168941490,  19, -100,  8.56347999538049E-02
2190.35004466729,   -0.37942356999,    0.68584121266,  20, -63908,  5.94635740479373E-04
  27.21222081500,   -3.93849247724,    1.88706725805,  21, -250825,  1.57084176491640E-03
   9.18484996200,    0.00000000000,   -1.23267123309,  22, -100,  2.30043071843251E-03
  14.76531558062,    0.29906494026,   -2.25136705228,  23,  1090,  2.51318123522465E-02
  27.10365333842,    0.49567197608,    1.48105315672,  24,  17769,  2.77388129632719E-03
   9.54345722434,    0.00000000000,   -0.03403874535,  25, -100,  6.39847100716882E-03
  13.63341568476,   -0.04944856942,    0.84609218583,  26, -138,  1.29658410665521E-01
  26.98505934729,    0.00000000000,   12.70047190125,  27, -100,  3.25822970632731E-03
  13.69115772864,    0.06682639725,    7.44916889079,  28,  2230,  2.86806922493642E-03
  13.66362090133,    0.02734234171,   -0.00000000000,  29, -31,  3.94293239097219E-02
 121.74996393751,   -0.00000000170,    0.00000000000,  30, -100,  3.76966810656669E-03
  13.71880577217,    0.05954487913,    2.06303603582,  31,  5867,  9.97959603714491E-04
3232.60542850251,    0.14377975693,    1.55903461877,  32,  14534,  9.82531753367313E-04
---- LTE ----
   0.00000000000 :trend:
   0.00000000000 :accel:
   3.45158522112 :K0:
   9.92485530809 :level:
  -0.02152098264,   10.53592415132,    1.68988254420 1
  -0.68867144445,   35.82837776975,    0.98861326551 32
  -1.14061207986,   88.29871919519,   -0.98164114108 53
  -0.19368884375,   30.99332608037,    1.75975274654 9
  -0.08608393056,   35.53159639670,   -1.17929375038 4

CC 0.6612785732 0.7772926621 8 1
-0.03126801995:dLOD:
PS C:\Users\pp\github\pukpr\GeoEnergyMath\qbo> ..\io\restore qbo50dtw9nonlin1bCCslope1965-1980c-modulate2_tropphase1-wow3b-harmmHighccDRACPPwow.5gwow4lock

image

  -0.00499461756 :offset:
   0.00001705557 :bg:
   1.22747006841 :impA:
   1.00374776612 :impB:
  -0.54515494476 :impC:
  -6.09238765994:delA:
   0.15876662225:delB:
   5.62490157991:asym:
 -18.05793053305:ann1:
 -11.18103312229:ann2:
 -26.01384295557:sem1:
   4.87072285572:sem2:
  -0.00000151697:year:
  -0.47143855108:IR:
  -0.00768799665 :mA:
   0.05657454798 :mP:
  -0.00137510103 :shiftT:
   3.77310642151 :init:
---- Tidal ----
   9.10846048884,    0.00000000000,   -0.12177411590,  1, -100,  2.78451965764581E-03
  27.32166155400,   -1.06128019805,   -1.15257483553,  2, -507642,  2.09102135286770E-04
  27.09267692660,    0.00000000000,  389.76461692719,  3, -100,  2.56273786573239E-03
   7.08840417030,    0.00000000000,   -0.00014273759,  4, -100,  5.92946297898359E-03
   6.85248390316,    0.00000000000,   -1.14250753914,  5, -100,  4.02042052291495E-03
  13.60611040750,   -0.16305241767,   -7.51837210386,  6, -1669,  1.03938909099611E-02
  13.66083077700,    0.04451980158,    0.00000000000,  7, -84,  2.82850640854756E-01
3396.73824406533,   -0.23616452012,    1.22079406348,  8, -24658,  9.61658143731111E-04
   9.12068919638,    0.00000000000,   -0.37269972292,  9, -100,  3.49815334901444E-02
  13.77727494300,    0.27732210860,    7.07381127674,  10,  1918,  1.37394448097478E-02
6793.47648813065,    0.55876034672,    0.16196417916,  11,  69489,  8.02945952880463E-04
  27.55454988600,   -0.08590626370,   -7.07505214925,  12, -200,  8.56391439554938E-02
  27.66676714572,    0.07364877027,   -1.82661075348,  13,  917,  7.24259812886263E-03
  27.44323926226,    0.11287288052,   -0.81205931225,  14,  2399,  4.51610473917296E-03
1616.30271425126,   -0.77782682293,   -0.54823014981,  15, -446696,  1.74168030048775E-04
   6.85940288609,    0.00000000000,   -0.00700577911,  16, -100,  1.48739559767528E-02
   7.09580803124,    0.00000000000,    7.82534889876,  17, -100,  1.71071118060148E-02
   9.55688271382,    0.00000000000,   11.25729952344,  18, -100,  1.53933272410734E-02
   9.13295078376,    0.00000000000,    2.54552032938,  19, -100,  8.56347999538049E-02
2190.35004466729,   -0.37934038282,    0.68509777218,  20, -63894,  5.94635740479373E-04
  27.21222081500,   -3.93882203925,    1.88706107227,  21, -250846,  1.57084176491640E-03
   9.18484996200,    0.00000000000,   -1.23267123309,  22, -100,  2.30043071843251E-03
  14.76531559673,    0.29891106145,   -2.25109979491,  23,  1089,  2.51318123522465E-02
  27.10365333842,    0.49588404728,    1.48103150425,  24,  17777,  2.77388129632719E-03
   9.54345723107,    0.00000000000,   -0.03403874535,  25, -100,  6.39847100716882E-03
  13.63341568476,   -0.04954854714,    0.84654059207,  26, -138,  1.29658410665521E-01
  26.98505934729,    0.00000000000,   12.70047190125,  27, -100,  3.25822970632731E-03
  13.69115772864,    0.06684527627,    7.44820470022,  28,  2231,  2.86806922493642E-03
  13.66362090133,    0.02732140875,   -0.00000000000,  29, -31,  3.94293239097219E-02
 121.74996229434,   -0.00000000006,    0.00000000000,  30, -100,  3.76966810656669E-03
  13.71880577217,    0.05947441632,    2.06053702374,  31,  5860,  9.97959603714491E-04
3232.60542850251,    0.14381488241,    1.55868361112,  32,  14537,  9.82531753367313E-04
---- LTE ----
   0.00000000000 :trend:
   0.00000000000 :accel:
   1.46228937317 :K0:
  27.34634900225 :level:
   0.02138852433,   19.57648435534,    0.05621053938 1
   0.68443277855,   25.36742388266,   -0.90506812333 32
   1.43303113008,   15.50568099250,   -0.79701302931 67
  76.61369414871,   18.93931542484,    1.71804937384 3582
  57.68485011699,   15.24945059393,    1.01897278613 2697
  58.19817470091,   18.97954776330,    1.28969931563 2721

DTW 0.8143209996 0.6993767671 1 1
-0.03124877442:dLOD:
PS C:\Users\pp\github\pukpr\GeoEnergyMath\qbo> ..\io\backup qbo70dtw9nonlin1bCCslope1965-1980c-modulate2_tropphase1-wow3b-harmmHighccDRACPPwow.5gwow4lock1dtw

image

@pukpr
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pukpr commented Mar 31, 2024

QBO 30

Tried to align more with the 18.6 modulation, removing the strong 4.4y and replacing it with interference of Draconic+ and Anomalistic, leading to the beat of 4.53 = 1/(1/8.85+12/18.6)

   0.00191058407 :offset:
  -0.00005634248 :bg:
   5.06137960862 :impA:
  -1.23265062772 :impB:
  -0.23741935956 :impC:
  -7.64535383712:delA:
   0.40050301578:delB:
   4.75357076113:asym:
  35.64331450367:ann1:
  -0.72755501152:ann2:
   8.80217676737:sem1:
  -1.73442119281:sem2:
   0.00000454052:year:
  -0.28159791283:IR:
  -0.00030182759 :mA:
  -0.05912221089 :mP:
  -0.00202946592 :shiftT:
   6.72040384889 :init:
---- Tidal ----
   9.10846048884,    0.00000000000,   -0.00812992487,  1, -100,  2.78389545156867E-03
  27.32166155400,   -1.22088284184,    1.27865879184,  2, -580560,  2.10330076241761E-04
  27.09267692660,    0.00000000000,  454.59474108018,  3, -100,  2.55834714402693E-03
   7.08840416574,    0.00000000000,   -0.00019825799,  4, -100,  5.92982459268319E-03
   6.85248390316,    0.00000000000,   -0.86639053803,  5, -100,  4.02026635670852E-03
  13.60611040750,   -0.37048132162,   -1.37402123888,  6, -3664,  1.03948495827232E-02
  13.66083077700,    0.04575397270,    0.00000000000,  7, -84,  2.82848035633829E-01
3396.73824406533,   -0.42382328369,    5.89709658289,  8, -48114,  8.82716385230237E-04
   9.12068919638,    0.00000000000,    0.12071268500,  9, -100,  3.49821517280576E-02
  13.77727494300,    0.35475665288,   -5.85713651516,  10,  2482,  1.37399354501661E-02
6793.47648813065,    0.57351348836,   -0.09657611037,  11,  70733,  8.09672470116974E-04
  27.55454988600,   -0.61433141299,  -20.08653125657,  12, -817,  8.56399014837518E-02
  27.66676714572,    0.25646421046,   -1.72998780806,  13,  3440,  7.24466137063528E-03
  27.44323926226,    0.02752646161,    0.71393166993,  14,  510,  4.51534497995516E-03
1616.30271425126,   -0.29380825214,    3.64477936767,  15, -20504,  1.43996737104650E-03
   6.85940288609,    0.00000000000,   -0.00604745373,  16, -100,  1.48743844613416E-02
   7.09580802667,    0.00000000000,    3.45305338330,  17, -100,  1.71069181044158E-02
   9.55688270553,    0.00000000000,   -7.23956539839,  18, -100,  1.53930725197578E-02
   9.13295078376,    0.00000000000,   -0.35205379817,  19, -100,  8.56344204085288E-02
2190.35004466729,   -0.23078845442,   -2.85767109080,  20, -33013,  7.01214760698434E-04
  27.21222081500,   -4.33922309733,    2.19899135520,  21, -276223,  1.57148430824415E-03
   9.18484996200,    0.00000000000,   -0.23867948870,  22, -100,  2.29977081732398E-03
  14.76531557694,    0.55207325997,   -5.68365616039,  23,  2097,  2.51325572677795E-02
  27.10365333842,    1.36521656804,   -1.65429330187,  24,  49076,  2.77619425635132E-03
   9.54345722280,    0.00000000000,    0.95503233255,  25, -100,  6.39816026346445E-03
  13.63341568476,   -0.18546683584,   -5.24724492355,  26, -243,  1.29658153799553E-01
  26.98505934729,    0.00000000000,    8.48630325169,  27, -100,  3.26005930241243E-03
  13.69115772864,    0.15676924413,    6.35343172340,  28,  5365,  2.86860486147658E-03
  13.66362090133,    0.16289096080,   -0.00000000000,  29,  313,  3.94320500288279E-02
1656.31999626209,    0.36743682898,    1.41812060331,  30,  23970,  1.52652022906254E-03
  13.71880577217,    0.50088853111,   -2.33218281456,  31,  50059,  9.98605329211078E-04
3232.60542850251,    0.48901741859,    1.62842769180,  32,  56024,  8.71322830450230E-04
---- LTE ----
   0.00000000000 :trend:
   0.00000000000 :accel:
   4.96417997234 :K0:
 -73.71751403305 :level:
  -0.04815839380,  135.41546583742,    1.98482945671 1
  -0.09631678759,   79.39811594133,    1.47202722540 2
  -1.15580145109,   53.83149196894,    1.18565425257 24
  -0.19263357518,   79.11333489927,   -2.48740293672 4
  -0.24079196898,   49.13399847234,   -2.37388636123 5
  -0.62605911934,   72.67241417576,    2.44902183071 13

CC 0.7694682017 0.8869879290 6 1
-0.04231616902:dLOD:
PS C:\Users\pp\github\pukpr\GeoEnergyMath\qbo> notepad enso_opt.exe.resp
PS C:\Users\pp\github\pukpr\GeoEnergyMath\qbo> ..\io\backup qbo30dtw9nonlin1bCCslope1965-1980c-modulate2_tropphase1-wow3b-harmmHighccDRACPPwow.5gwow3-4pt53align18pt6i

image

Note that the 18.6 year modulation overlays better.
image

list

4.000000
-0.142618 w_A
2.30E+00
1.14E+00 w_D
9.04E-01
3.05E-01 w_T
9.22E-03
4.10E-02 w_A2
1.29E+00
3.17E-01 w_DD
-6.86E-02
3.66E-01 w_N
-5.42E-02
2.08E-01 w_N2
-9.36E-02
7.38E-01 w_P
-5.14E-02
2.61E-01 w_P2
-1.18E-01
6.25E-01 w_6
5.71E-02
1.99E-01 w_453
-4.95E-02
3.19E-01 w_d2
1.14E+00
6.67E-01 w_t2
-5.22E-01
-5.98E-02 w_a6 18.6 mod of w_a
-8.29E-01

=+$F$2*(1+$F$3SIN(w_at+$F$4)+$F$29SIN(w_a6t+$F$30)+$F$9SIN(w_a2t+$F$10))(1+$F$5COS(w_dt+$F$6)+$F$7COS(w_tt+$F$8)+$F$11COS(w_ddt+$F$12))-$F$2 +$F$13COS(w_Nt+$F$14)+$F$15COS(w_N2t+$F$16)+$F$17COS(w_pt+$F$18)+$F$19COS(w_p2t+$F$20)+$F$21COS(w_6t+$F$22)+$F$23COS(w_453t+$F$24)+$F$25COS(w_d2t+$F$26) +$F$27COS(w_t2*t+$F$28)

@pukpr
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pukpr commented Mar 31, 2024

reconstructed QBO driving from above

image

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