amo.dat.p

AMO trained on region outside of dashed line, so that’s the cross-validated region, using Descent optimized LTE annual time-series, Python

python3 ts_lte.py amo.dat –cc –plot –low 1930 –high 1960

using the following JSON parameters file

amo.dat.p

{
  "Aliased": [
    0.422362756,
    0.38861749700000003,
    0.23562139699999995,
    0.259019747,
    0.33201584700000003,
    0.165274488,
    0.262765007,
    0.385761106,
    0.07374525999999999,
    0.215992198,
    0.192246939,
    0.528757205,
    0.112996099,
    0.03714361,
    0.10034691,
    0.07660165,
    0.501613596,
    2.0,
    1.0
  ],
  "AliasedAmp": [
    0.03557922624939592,
    0.09988731513671248,
    0.07106292426402241,
    0.1202147059011645,
    -0.16310647366824904,
    -0.21099766009700224,
    0.3178250739779875,
    -0.034763054040409205,
    -0.26973831298426476,
    -0.13417117453373803,
    0.33741450649520405,
    0.14844747522132112,
    0.38176481941684715,
    -0.24512757533159843,
    0.17007002069621968,
    -0.3175673142831867,
    -0.0801663078936891,
    0.0410641305028224,
    0.15648561320675802
  ],
  "AliasedPhase": [
    12.907437383830702,
    9.791011963532627,
    20.894959747239227,
    11.230932614457465,
    24.106215317177334,
    14.921596063027563,
    11.928445369162157,
    14.76066439534825,
    9.307516552468496,
    6.238399781667854,
    4.78878496205605,
    19.328424226102666,
    4.1510957254818255,
    24.986414787848002,
    3.764292351659264,
    7.899565162852414,
    10.701455186458222,
    6.575719630634085,
    4.603123916071089
  ],
  "DeltaTime": 7.217156366226141e-06,
  "Hold": 0.001560890374528988,
  "Imp_Amp": 36.03147961053978,
  "Imp_Stride": 1,
  "Initial": 0.023119471463386495,
  "LTE_Amp": 1.2149052076222568,
  "LTE_Freq": 232.0780473685175,
  "LTE_Phase": -1.98155204056087,
  "Periods": [
    27.2122,
    27.3216,
    27.564500000000002,
    13.63339513,
    13.69114014,
    13.5961,
    13.6708,
    13.72877789,
    6795.015773000002,
    1616.2951719999999,
    2120.013852999989,
    13.78725,
    3232.690344000001,
    9.142931547,
    9.108450374,
    9.120674533,
    27.0926041
  ],
  "PeriodsAmp": [
    0.22791356815287772,
    0.03599719419115529,
    0.18676833431961723,
    0.03956128728097599,
    -0.2649706920257545,
    0.10022074474351093,
    0.10436992221139457,
    0.14430534046016136,
    0.07102249228279979,
    0.11758452315976271,
    0.04510213195702457,
    0.06361160068822835,
    0.05674788795284906,
    -0.043657524764462274,
    0.07791151774412787,
    0.019631216465477552,
    -0.14009026634971397
  ],
  "PeriodsPhase": [
    13.451016651034463,
    7.371101643819357,
    18.44011357432109,
    6.802030606034782,
    21.120997888353294,
    9.616514380782336,
    5.715489866748063,
    10.809731364754402,
    9.031554832315345,
    7.401459819968337,
    5.9383444499771105,
    14.60402121854254,
    5.541215399062276,
    8.44043335583645,
    1.6019323722385819,
    7.500513005887212,
    7.860442540394975
  ],
  "Year": 365.2520198,
  "final_state": {
    "D_prev": 0.04294
  }
}

Primary 27.2122 > 27.5545 > 27.3216 > others

{
  "Aliased": [
    "0.0537449",
    "0.1074898",
    "0.220485143",
    "0.5",
    "1",
    "2"
  ],
  "AliasedAmp": [
    -0.27685696043001307,
    0.16964990314670372,
    0.11895402824503996,
    -0.22535505798739713,
    -0.14980527635880514,
    0.039162442368949016
  ],
  "AliasedPhase": [
    8.086868082389797,
    6.5259913891848225,
    6.976139887075208,
    0.73810967841759,
    -0.7194832011130626,
    8.565521480562625
  ],
  "DC": -0.2680318100166013,
  "DeltaTime": 3.339861667887925,
  "Hold": 0.0014930905734095634,
  "Imp_Amp": 199.01398139940682,
  "Imp_Amp2": -0.5731191105049073,
  "Imp_Stride": 8,
  "Initial": 0.06704092573627028,
  "LTE_Amp": 1.3767200538799589,
  "LTE_Freq": 125.32556941298645,
  "LTE_Phase": 0.7307737940808291,
  "LTE_Zero": 1.4258992716041372,
  "Periods": [
    "27.2122",
    "27.3216",
    "27.5545",
    "13.63339513",
    "13.69114014",
    "13.6061",
    "13.6608",
    "13.71877789",
    "6795.985773",
    "1616.215172",
    "2120.513853",
    "13.77725",
    "3232.430344",
    "9.132931547",
    "9.108450374",
    "9.120674533",
    "27.0926041",
    "3397.992886",
    "9.095011909",
    "9.082856397",
    "6.809866946",
    "2190.530426",
    "6.816697567",
    "6.823541904",
    "1656.572278"
  ],
  "PeriodsAmp": [
    0.30508787370803825,
    0.13110586375848174,
    0.20288728084656027,
    -0.04672659187556317,
    -0.004826158765318568,
    -0.035033863263707915,
    -0.0368824777486948,
    0.03511304770515584,
    0.011720764708907096,
    -0.004694584574980881,
    0.029609791456868918,
    0.039125743540538716,
    -0.007414683923403197,
    0.00010802542017018773,
    -0.018330796222247217,
    -0.006001961724770963,
    -0.03735314717727939,
    -0.004108234580768664,
    0.011857949379825367,
    0.01479879984548296,
    0.02390111774094945,
    -0.039440470787466424,
    -0.032966674657844246,
    -0.030591610040324502,
    0.013039117473425073
  ],
  "PeriodsPhase": [
    14.569679572272141,
    8.743347618608817,
    6.063986820806294,
    4.382376561017971,
    9.81395082674981,
    5.545094399669723,
    7.378109970639206,
    3.912962970116576,
    7.840782183776614,
    4.988264989477043,
    5.697804841039319,
    7.455439074616485,
    2.972944156135133,
    4.7630843491223365,
    6.317733397950582,
    7.279885606476663,
    3.8917494187283728,
    5.801812295837,
    6.975196465036293,
    6.128620153406749,
    4.95108326060857,
    4.307377590535454,
    5.8886081102774535,
    4.9456215506967265,
    4.232011434810574
  ],
  "Year": "365.2495755"
}

Alternate Julia fitting routine

Warnemunde, DE tidal station

https://docs.google.com/spreadsheets/d/1HysiqoPN-j1M2lTLUpQaGZPAxvJIesFrJMBoYJyWA5I/edit?usp=sharing


started from Warnemunde SLH model fit

Name Value
—- —–
ALIGN 0
EXTRA 0
FORCING 0
MAX_ITERS 50
RELATIVE 1
STEP 0.05

PS C:\Users\paul\github\pukpr\python\simple\run0> cat .\amo.dat.p
{
“Aliased”: [
“0.0537449”,
“0.1074898”,
“0.220485143”,
“0.5”,
“1”,
“2”
],
“AliasedAmp”: [
-0.12182091549739567,
0.25801568818215476,
0.09920867308439774,
-0.1737322618819654,
-0.07529335982382553,
0.052057481476465634
],
“AliasedPhase”: [
4.921761286209268,
5.7618887121423965,
7.487588835004665,
0.8600259809362271,
0.01213560781160881,
7.655542996972892
],
“DC”: -0.008758390763317466,
“Damp”: -0.022154904178658865,
“DeltaTime”: “3.416666667”,
“Hold”: 0.0014873352555352655,
“Imp_Amp”: 190.5449378494113,
“Imp_Amp2”: 1.466945315006192,
“Imp_Stride”: 7,
“Initial”: 0.060016503798714434,
“LTE_Amp”: 1.587179814234174,
“LTE_Freq”: 125.53536829233441,
“LTE_Phase”: 1.2439579952989555,
“LTE_Zero”: 0.896474895660982,
“Periods”: [
“27.2122”,
“27.3216”,
“27.5545”,
“13.63339513”,
“13.69114014”,
“13.6061”,
“13.6608”,
“13.71877789”,
“6795.985773”,
“1616.215172”,
“2120.513853”,
“13.77725”,
“3232.430344”,
“9.132931547”,
“9.108450374”,
“9.120674533”,
“27.0926041”,
“3397.992886”,
“9.095011909”,
“9.082856397”,
“6.809866946”,
“2190.530426”,
“6.816697567”,
“6.823541904”,
“1656.572278”
],
“PeriodsAmp”: [
0.27470885437689657,
0.12275502752316671,
0.08957207441483245,
-0.016351843276285773,
-0.0023253487734064167,
-0.027825652713169724,
-0.03622467995377892,
0.03745364586195977,
0.016931934821747943,
-0.007763938392135198,
0.001227009837326124,
-0.025790386622741152,
-0.008565987883641879,
0.00014664749664687222,
-0.01704107349960909,
-0.00797921907994325,
-0.03177647026752983,
-0.004956872049734769,
0.007932726074580026,
0.014516028377323971,
-0.021088964802417443,
-0.020789594142410307,
-0.0394312191315924,
-0.04134814573194381,
0.016270585503279013
],
“PeriodsPhase”: [
14.531794321199,
9.047644816654925,
6.2513288041048165,
4.835012524578427,
8.2937810112731,
5.467748908147056,
8.57387165414261,
4.054729761879573,
7.943122954685947,
8.951903685571338,
2.710382136770864,
8.02559427189266,
3.2041095507982096,
5.942537145429701,
5.976976092641082,
7.506337445154253,
5.347578022677064,
8.017917628086881,
5.8570430281895804,
6.547489676521564,
4.764028618408168,
4.06142922152038,
6.49245321390355,
4.201452643286066,
6.210242390637271
],
“Year”: “365.2495755”
}
PS C:\Users\paul\github\pukpr\python\simple\run0>

amo.dat.p

compare to warnemunde reference, warne.dat.p

{
“Aliased”: [
“0.0537449”,
“0.1074898”,
“0.220485143”,
“0.5”,
“1”,
“2”
],
“AliasedAmp”: [
-0.4042092506880945,
0.1498026647936091,
0.34974191131892546,
-0.06275860364797245,
-0.12693112051883154,
0.05360693094611856
],
“AliasedPhase”: [
5.022341284265671,
6.12724416388633,
5.10501755051668,
1.3489606861498495,
0.1576762764662913,
6.305517708416614
],
“DC”: -0.008758390763317466,
“Damp”: -0.004169125923760335,
“DeltaTime”: “3.416666667”,
“Hold”: 0.001492802207237816,
“Imp_Amp”: 197.45336102884804,
“Imp_Amp2”: 1.8841384082886352,
“Imp_Stride”: 8,
“Initial”: 0.06797642598445004,
“LTE_Amp”: 1.1234722131058268,
“LTE_Freq”: 129.45433340867712,
“LTE_Phase”: 0.9136521644032515,
“LTE_Zero”: 1.4732244756410906,
“Periods”: [
“27.2122”,
“27.3216”,
“27.5545”,
“13.63339513”,
“13.69114014”,
“13.6061”,
“13.6608”,
“13.71877789”,
“6795.985773”,
“1616.215172”,
“2120.513853”,
“13.77725”,
“3232.430344”,
“9.132931547”,
“9.108450374”,
“9.120674533”,
“27.0926041”,
“3397.992886”,
“9.095011909”,
“9.082856397”,
“6.809866946”,
“2190.530426”,
“6.816697567”,
“6.823541904”,
“1656.572278”
],
“PeriodsAmp”: [
0.2969846885625734,
0.12715090239433,
0.11195966030804025,
-0.014279802990919828,
-0.007476472864580455,
-0.027618411935182365,
-0.0314800276468536,
0.01803389223741826,
0.011163663341122482,
-0.0012907337497222084,
0.010385914775159287,
-0.024140665704639786,
-0.0024596839864129026,
0.00027007377126487056,
-0.014632061204798591,
-0.005915227697593744,
-0.04415788786521701,
-0.0030602495341499583,
0.009422574691039923,
0.013666201034033513,
-0.011874548174887829,
-0.01644029616663989,
-0.027183125961912056,
-0.01849393725550493,
0.0035426632273613356
],
“PeriodsPhase”: [
14.521637612309751,
8.824373362823483,
6.120768972631713,
5.031389621562438,
7.68019623052033,
5.535148594183447,
7.8408960747147844,
3.7085965346643084,
7.8128946785721185,
5.8037304389860065,
5.996864724827583,
8.12109584535951,
2.86102851568745,
6.520420198470608,
5.568571652192804,
7.4330567654835455,
4.544814917547044,
6.625719182549832,
7.045017606299215,
6.1446045083619385,
6.171838481758574,
4.209559209227534,
6.043091099560879,
4.664388204620863,
5.099462955240412
],
“Year”: “365.2495755”
}

warne.dat.p

AMO LTE

“LTE_Amp”: 1.587179814234174,
“LTE_Freq”: 125.53536829233441,
“LTE_Phase”: 1.2439579952989555,
“LTE_Zero”: 0.896474895660982,

Warne LTE

“LTE_Amp”: 1.1234722131058268,
“LTE_Freq”: 129.45433340867712,
“LTE_Phase”: 0.9136521644032515,
“LTE_Zero”: 1.4732244756410906,

AMO Warnemunde