Analiza struktury przestrzennej i czasoprzestrzennej maksymalnych opadów dobowych w Polsce w latach 1956 - 1980:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | Polish |
| Published: |
Poznań
Wydawn. Naukowe UAM
2009
|
| Edition: | Wyd. 1. |
| Series: | Uniwersytet Imienia Adama Mickiewicza <Poznań> / Seria Geografia
85 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Abstract |
| Item Description: | Zsfassung in engl. Sprache u.d.T.: Analysis of the spatial and spatial-temporal structure of maximum daily precipitation in Poland in the years 1956 - 1980 |
| Physical Description: | 322, [1] s. il. - Ill., graph. Darst., Kt. 25 cm DVD (12 cm) |
| ISBN: | 9788323219880 |
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MARC
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| 100 | 1 | |a Stach, Alfred |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Analiza struktury przestrzennej i czasoprzestrzennej maksymalnych opadów dobowych w Polsce w latach 1956 - 1980 |c Alfred Stach |
| 250 | |a Wyd. 1. | ||
| 264 | 1 | |a Poznań |b Wydawn. Naukowe UAM |c 2009 | |
| 300 | |a 322, [1] s. |b il. - Ill., graph. Darst., Kt. |c 25 cm |e DVD (12 cm) | ||
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| 490 | 1 | |a Uniwersytet Imienia Adama Mickiewicza <Poznań> / Seria Geografia |v 85 | |
| 500 | |a Zsfassung in engl. Sprache u.d.T.: Analysis of the spatial and spatial-temporal structure of maximum daily precipitation in Poland in the years 1956 - 1980 | ||
| 648 | 7 | |a Geschichte 1956-1980 |2 gnd |9 rswk-swf | |
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Record in the Search Index
| _version_ | 1804143593175121920 |
|---|---|
| adam_text | Spis
tresei
Podziękowania
.................................................................................................................... 9
I. Wprowadzenie
............................................................................................................ 11
II.
Zarys problematyki
................................................................................................... 15
III. Cel, zakres i metody pracy
........................................................................................ 22
1.
Cel i zakres pracy
.................................................................................................... 22
2.
Podstawy metodyki
................................................................................................ 24
2.1.
Wprowadzenie
................................................................................................ 24
2.2.
Miary ciągłości lub zmienności przestrzennej
............................................. 24
2.3.
Struktura przestrzenna w klasach natężenia analizowanej cechy
............ 30
2.4.
Przykład analizy danych kodowanych
........................................................ 32
2.5.
Modelowanie struktury przestrzennej danych
........................................... 38
2.5.1.
Wprowadzenie do problematyki modelowania struktury prze¬
strzennej
................................................................................................. 38
2.5.2.
Proste i złożone, dopuszczalne funkcje używane przy modelowa¬
niu struktury przestrzennej
................................................................. 40
2.5.3.
Specyfika matematycznego modelowania struktury przestrzennej
. 44
2.5.4.
Kryterium jakości dopasowania modelu
........................................... 45
2.5.5.
Optymalizacja modelu struktury przestrzennej
............................... 46
2.5.6.
Modelowanie struktury przestrzennej MSDO w programie ISA-
TIS
........................................................................................................... 49
2.5.7.
Modelowanie struktury przestrzennej danych znormalizowanych
.. 49
2.5.8.
Modelowanie struktury przestrzennej danych kodowanych
......... 52
2.5.9.
Nieciągłość i asynchroniczność danych MSDO a ich struktura
przestrzenna
.......................................................................................... 57
IV.
Charakterystyka pluwiotermiczna lat
1956-1980.................................................. 59
V.
Dane pomiarowe maksymalnych sum opadów dobowych
................................ 63
1.
Źródła i charakter danych
..................................................................................... 63
2.
Błędy i niepewność danych
................................................................................... 64
3.
Zmienność liczby stanowisk pomiarowych
........................................................ 67
4.
Rozmieszczenie przestrzenne stanowisk pomiarowych
................................... 70
5.
Maksymalne sumy dobowe opadów a źródłowe serie pomiarowe. Teore¬
tyczne dystrybuanty danych
................................................................................. 83
6.
Charakterystyka danych źródłowych za pomocą globalnych statystyk opi¬
sowych
..................................................................................................................... 86
7.
Charakterystyka danych źródłowych za pomocą lokalnych statystyk opi¬
sowych
..................................................................................................................... 96
8.
Relacje czasowe
....................................................................................................... 103
9.
Podsumowanie rozdziału
...................................................................................... 107
VI.
Analiza struktury przestrzennej MSDO opartej na semiwariogramach da¬
nych znormalizowanych
........................................................................................... 111
1.
Wprowadzenie
........................................................................................................ 111
2.
Częstość występowania i charakterystyka elementarnych modeli
.................. 112
3.
Sezonowa i wieloletnia zmienność struktury przestrzennej MSDO
................ 115
4.
Klasyfikacja struktury przestrzennej MSDO
-
liczba i charakter składowych
.. 122
5.
Charakterystyka składowych złożonych modeli struktury przestrzennej
MSDO
....................................................................................................................... 123
6.
Klasyfikacja struktury przestrzennej MSDO
-
wartość semiwariancji
............ 135
7.
Sezonowa zmienność parametrów modeli struktury przestrzennej
............... 150
8.
Wieloletnia zmienność parametrów modeli struktury przestrzennej
............. 157
9.
Zmienność bezwzględnych wartości wariancji składowych przestrzennych
... 161
10.
Podsumowanie rozdziału
...................................................................................... 169
VII.
Analiza struktury przestrzennej MSDO na podstawie semiwariogramów
danych kodowanych
.................................................................................................. 173
1.
Wprowadzenie
........................................................................................................ 173
2.
Częstość elementarnych modeli i czynniki ją kształtujące
............................... 176
3.
Zróżnicowanie sezonowe
...................................................................................... 178
4.
Zróżnicowanie zależne od względnej wysokości opadu
.................................. 182
5.
Zróżnicowanie zależne od bezwzględnej wysokości opadu
-
miesiące
......... 187
6.
Sezonowe zróżnicowanie zależne od bezwzględnej wysokości opadu
.......... 195
7.
Zróżnicowanie zależne od bezwzględnej wysokości opadu
-
lata
.................. 201
8.
Zmienność wieloletnia
........................................................................................... 205
9.
Podsumowanie rozdziału
...................................................................................... 206
VIII.
Sezonowość, wydajność i zmienność regionalna rocznych MSDO
.................. 211
1.
Zmienność czasowa występowania i wydajności rocznych MSDO
................ 211
2.
Estymacja gęstości skupień
................................................................................... 213
3.
Sezonowa zmienność wydajności rocznych MSDO na terenie Polski
............. 217
4.
Zmienność przestrzenna terminu występowania rocznych MSDO
................ 220
5.
Testowanie istotności różnic regionalnych terminu występowania rocznych
MSDO
....................................................................................................................... 227
6.
Autokorelacja przestrzenna terminów rocznych MSDO
.................................. 231
7.
Podsumowanie rozdziału
...................................................................................... 234
IX.
Podsumowanie i wnioski
......................................................................................... 236
X.
Dodatek: Szczegółowe zagadnienia metodyczne
................................................. 240
1.
Problem zmian ilości i rozkładu przestrzennego danych
................................. 240
2.
Estymacja, symulacja i optymalizacja
.................................................................. 243
3.
Anizotropia struktury przestrzennej MSDO
...................................................... 254
4.
Normalizacja danych
............................................................................................. 261
4.1.
Ogólna charakterystyka procedur normalizacji danych wykorzystywa¬
nych w geostatystyce
...................................................................................... 261
4.2.
Normalizacja parametryczna z użyciem wielomianów Hermite
............. 263
4.3.
Przykład normalizacji danych MSDO
........................................................... 267
4.4.
Wpîyw
normalizacji danych na ocenę ich struktury przestrzennej
......... 269
5.
Maskowanie danych w trakcie analizy struktury przestrzennej
...................... 271
5.1.
Wpływ danych ekstremalnych i odstających na określenie struktury
przestrzennej zjawiska
................................................................................... 271
5.2.
Metodyka procedury interaktywnego czyszczenia semiwariogramu
..... 272
5.3.
Statystyki procedury czyszczenia semiwariogramu dla wszystkich ana¬
lizowanych zbiorów danych MSDO
............................................................. 276
6.
Rozdzielczość modeli przestrzennych
................................................................. 280
6.1.
Ogólne kryteria wyboru rozdzielczości rastrowych modeli przestrzen¬
nych
................................................................................................................... 280
6.2.
Ocena optymalnej rozdzielczości modeli z wykorzystaniem charaktery¬
styk analizowanego zbioru danych
.............................................................. 281
XI.
Literatura
..................................................................................................................... 285
XII.
Załączniki
.................................................................................................................... 295
1.
Zestawienie stacji meteorologicznych i posterunków opadowych zlokali¬
zowanych na terytorium Niemiec, z których dane sum dobowych opadów
zostały wykorzystane w niniejszej pracy
............................................................ 295
2.
Opis zawartości załączonego dysku
DVD .......................................................... 298
2.1.
Wstęp
................................................................................................................ 298
2.2.
Używane formaty plików
.............................................................................. 298
2.3.
Spis zawartości dysku
.................................................................................... 301
2.3.1.
Dane źródłowe
...................................................................................... 301
2.3.2.
Numeryczne i graficzne wyniki analiz
............................................... 302
2.3.3.
Wersje elektroniczne kolorowych rycin i tabel
.................................. 303
2.3.4.
Pliki instalacyjne programów komputerowych
................................ 303
XIII.
List of figures and tables
.......................................................................................... 305
Analysis of the spatial and spatial-temporal structure of maximum daily precipi¬
tation in Poland in the years
1956-1980
(Summary)
................................................. 320
Analysis of the spatial
and spatial-temporal structure
of maximum daily precipitation
in Poland in the years
1956-1980
Summary
Among forecasts made on the basis of global and regional climatic models is one of a
high probability of an increase in the frequency and intensity of extreme precipitation events.
This corresponds with many published analyses of archival measurement series indicating
the appearance of such tendencies in the latter half of the 20th century. Learning the regulari¬
ties underlying the recurrence and spatial extent of extreme precipitation is obviously of
great importance, both economic and social. A full insight into those problems can only be
gained by combining ground-based point measurements with
areal
remote-sensing data.
Regrettably, it is still hard to formulate generalisations because of the relatively short period
for which remote-sensing data are available and difficulties involved in making precise as¬
sessments of precipitation intensity on their basis. That is why, irrespective of the new
measuring techniques being introduced, it is necessary to perform an analysis and reinter-
pretation of archival data, making use of the possibilities created by the development of
GIS.
In the case of discontinuous meteorological elements
-
such as precipitation
-
there can
be changes in both, their temporal and spatial characteristics because a change in the point-
registered frequency of precipitation in the various intensity or duration classes can be due
to a real change in its frequency of occurrence or a change in its spatial range. Hence, the ob¬
served increase in the extreme amounts of rain can only be associated with its greater spa¬
tial extent, without any changes in its recurrence. Analyses of changes in climate characteris¬
tics, which have concentrated almost exclusively on their temporal aspect so far, should also
consider a potential evolution of their spatial structure. It is therefore necessary to employ
archival multi-year data to identify the basic properties of this structure that could provide a
reference point against which possible trends of change might be tested.
The main goal of the dissertation was to analyse regularities underlying spatial and
temporal variations in monthly and annual maximum daily precipitation totals (MDPTs) ob¬
served in Poland over the years
1956-1980.
The basic source material employed was maxi¬
mum daily precipitation totals recorded at weather and rainfall stations in the particular
months of the multi-year period
1956-1980
and published in the Atmospheric Precipitation
yearbooks. They were augmented with the date of occurrence of a maximum annual daily
precipitation total. Apart from the data from Poland, a similar
pluviometric
material was ob-
320
tained for all the measuring sites existing in the years
1956-1980
in the former GDR in a belt
of up to
30
km from the Polish border. In total, the database employed contained
747,486
maximum daily precipitation figures in the particular months
(2,492
on average) and
61,940
dates/totals of maximum annual daily precipitation
(2,478
on average).
These data are specific because apart from being spatially discontinuous, which is typi¬
cal of precipitation, they are also non-synchronic. A given monthly MDPT figure could have
been recorded at any locality on any day of the month. Still, the point-measured MDPTs are
not results of independent, totally random phenomena. Each precipitation event takes some
time and has a specified spatial range. Hence there is a non-zero probability that it will be re¬
corded in a greater number of localities, and that in at least some of them it will be classed as
a periodic MDPT. The present work rests on the hypothesis that the probability of MDPT oc¬
currence displays spatial autocorrelation, and hence spatial continuity.
The main aim of the dissertation was accomplished via several detailed goals:
•
determination of the chief statistical features of the analysed sets of monthly and an¬
nual MDPTs, including their seasonal and multi-year variability,
•
identification and typology of the spatial structure of monthly and annual MDPTs,
•
determination of the character and probable origin of events generating MDPTs,
•
quantitative assessment of the contribution of the particular events to the overall
MDPT figures,
•
examination of potential seasonal variations in the spatial structure of MDPTs,
•
verification of the hypothesis about differences in the spatial structure of MDPTs in
different classes of rainfall amount,
•
checking the spatial structure of MDPTs for significant tendencies in the entire period
under analysis,
•
determination of seasonal differences in the probability of occurrence and the level of
annual MDPTs, and
•
examination of regional variations in the date of occurrence of annual MDPTs.
The analysis of the spatial structure of MDPTs was carried out in two approaches. In
one, use was made of
325
models of spatial structure, one for each of the analysed sets of
monthly and annual MDPTs. The models were built on the basis of empirical
isotropie
semivariograms of normalised data with a range of
212.5
km
(85
lag intervals
2.5
km in
width).
In the other approach, the analysis of variations in the structure of monthly and annual
MDPTs depending on precipitation levels was performed using indicator semivariograms.
For each data set,
13
threshold values were determined based on the empirical distribution
function: the
1st,
5th, 10th, 20th,
...,
90th, 95th, and 99th percentile
(4,225
models in total).
Calculations were made for
15
intervals,
2.5
km each.
To assess the probability of the date and level of annual MDPTs, use was made of the
method of kernel density estimation. The spatial variability of the dates of occurrence of an¬
nual MDPTs was also analysed with the help of the local statistics of their dates (the number
of the day in the Julian year).
The MDPT field in Poland is usually the sum of the outcomes of three types of processes
operating at various spatial scales: local (<10-20 km), regional
(50-150
km), and supra-
regional (>200 km). The spatial scales are probably connected with a convective/
orographie,
a frontal and a climatological genesis of high precipitation (planetary waves?). Their contri¬
butions are highly variable. Generally predominant, however, are high daily precipitation to¬
tals with a spatial extent of
50
to
150
km connected with mesoscale phenomena and the mi¬
gration of atmospheric fronts
(35-38%).
The spatial extent of areas of high local-scale
321
precipitation usually varies at random, especially in the warm season. At supra-local scales,
structures of repetitive size predominate.
The parameters characterising the spatial structure of MDPTs display a marked seasonal
cyclicity and variability depending on the precipitation level. The seasonal variability of the
proportion of the random component (nugget variance), for instance, is very close to the av¬
erage multi-year pattern of factors correcting the errors of standard precipitation measure¬
ments. Their primary sources are wind-generated turbulence, solid-state precipitation, as
well as evaporation- and wetting-related losses. The absolute Co value was also found to de¬
pend on variations, both global and local, of the MDPT field. Also the relative share of the
variance of the first component displayed a highly significant seasonal variability with a
maximum in June and May and a minimum in October. Such a yearly cycle probably reflects
the changeable proportion of convective precipitation, which attains a maximum in months
with the greatest thermal contrasts. The characteristics of the spatial structure of MDPTs de¬
pend on a relative rainfall amount connected with its location along the empirical distribu¬
tion function to a greater extent than on the absolute total.
The multi-year period under analysis was too short to make a reliable assessment of
long-term tendencies in the evolution of the climate. Still, the changes found to occur in the
elements of the spatial structure, largely connected with local-scale events, show that the hy¬
pothesis advanced at the beginning
-
as to a potential effect of changes in the spatial struc¬
ture of extreme precipitation events on their point-registered frequency
-
is a promising re¬
search perspective and should continue to be tested.
On the basis of a kernel density estimation,
14
periods were distinguished that varied in
the level and gradient of the probability of occurrence of annual MDPTs in various rainfall-
amount classes. They last from
12
to
58
days. While an annual MDPT can potentially occur
every day on the territory of Poland, the probability of its occurrence between
16
December
and
19
March is extremely low. On the other hand, the probability that it will appear be¬
tween
21
April and
5
November is as high as
95.6%.
The period with the greatest chance of
occurrence of an annual MDPT lasts from
28
June to
22
August. The probability curve
reaches its annual maximum,
1.03%,
on
23
July. Its lowest daily values occur at the turn of
the year and range from
0.005
to
0.008%.
Thus, the difference spans three orders of magni¬
tude. From mid-December to the end of March the predominant annual MDPTs are lower
than
20
mm. From mid-June to the last decade of August the most frequent are annual
MDPTs of about
40
mm and more. In the remaining part of the year the predominant class of
precipitation is that in the interval from
20
to
40
mm. The maximum probability of occur¬
rence of annual MDPTs from the individual rainfall-amount classes falls on the short period
between
20
and
26
July. The mean dates of MDPT occurrence in Poland range from
27
June
(the 178th day of the year) to
11
August (the 223rd day), with the average date for the entire
country being
22
July (the 203rd day). This result differs by a mere day from that read from
the probability curve. Variations in the dates of occurrence of annual MDPTs, despite the
random character of the highest rainfall, turned out to differ markedly regionally. They seem
to be a resultant of factors acting at a variety of scales, one of the major ones being the gen¬
eral oceanic-continental gradient between Western and Eastern Europe. It is modified di¬
rectly by the Baltic and terrain topography. It was also found that the dates of occurrence of
annual MDPTs displayed marked spatial autocorrelation which can be modelled in a stan¬
dard way. The average ranges of the components of models of the spatial structure of the
MDPT dates are similar to those found for the MDPT figures
(15.8,102.8
and
180
km). How¬
ever, in the case of individual data sets, there are no apparent relations between them. This
also holds for the number and type of components making up a model. Probably those dif-
322
ferences
are an effect of a greatly reduced role of the long-term component. The total spatial
variability of the date of occurrence of annual MDPTs is largely (in about
69%)
shaped by
short-range precipitation (from single convective cells) and random factors affecting their in¬
ternal structure and movement.
While the conducted analyses have thrown much light on the issue of the spatial vari¬
ability of the highest daily precipitation totals, there is still much to be done. Many of the
newly found regularities need a deeper genetic interpretation, which is hard, if not impossi¬
ble, to conduct without additional data and a wider context of their analysis.
Special studies should be conducted of individual cases typical of the spatial structure
classes distinguished. To perform them, it is necessary to have a complete set of daily pre¬
cipitation totals from the whole of Poland embracing a period of several days before, during,
and after the episode analysed, and most importantly, synoptic charts showing the precipita¬
tion-generating conditions.
Another potentially fruitful direction, and one not involving a labour-consuming compi¬
lation of new databases, is the study of relations between the occurrence of the distinguished
spatial structure types of monthly and annual MDPTs and the frequency of various air
masses appearing over Poland defined on the basis of calendars of circulation types.
Attention should also be paid to potential regional differences in the spatial structure of
maximum daily precipitation. The regularities established in the present work are likely to
obtain over a much more extensive area than our country, perhaps even over the entire hu¬
mid temperate zone. Regional dissimilarities, therefore, may involve not qualitative charac¬
teristics, but primarily more or less distinct statistical differences in the frequency of appear¬
ance and relative significance of individual components. A study of such differences is
currently perfectly possible and scheduled for the next stage of the research.
A promising line of inquiry is also using annual MDPTs to perform co-simulations of
both, their level and time of occurrence. This is a logical consequence of the spatial autocor¬
relation present in both, the set of precipitation totals and the dates of their appearance. As a
result, it will be possible to make reliable, fully probabilistic, spatial-temporal assessments of
the risk of heavy precipitation at the scale of regions, or even medium-sized river catch¬
ments. So far such assessments have been made exclusively on the basis of point data whose
spatial representativeness was hard to test. Scale relations allowing a conversion of point
probabilities into
areal
ones have been unknown.
Empirical semivariograms of MDPT data are complex in nature
-
they consist of two to
five elementary models. This is usually interpreted, as has been mentioned in the text, as a
result of the operation and summing up of the effects of events occurring at various spatial
scales. The method of factorial kriging offers a promising way of differentiation among, and
quantitative assessment of, the chief components forming the MDPT field.
•
Translated by Maria
Kawińska
Bayerîscha
Sfaatsblbüethrk
München
|
| any_adam_object | 1 |
| author | Stach, Alfred |
| author_facet | Stach, Alfred |
| author_role | aut |
| author_sort | Stach, Alfred |
| author_variant | a s as |
| building | Verbundindex |
| bvnumber | BV036883505 |
| ctrlnum | (OCoLC)706852829 (DE-599)BVBBV036883505 |
| edition | Wyd. 1. |
| era | Geschichte 1956-1980 gnd |
| era_facet | Geschichte 1956-1980 |
| format | Book |
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| geographic | Polen (DE-588)4046496-9 gnd |
| geographic_facet | Polen |
| id | DE-604.BV036883505 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:50:07Z |
| institution | BVB |
| isbn | 9788323219880 |
| language | Polish |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020798832 |
| oclc_num | 706852829 |
| open_access_boolean | |
| owner | DE-12 |
| owner_facet | DE-12 |
| physical | 322, [1] s. il. - Ill., graph. Darst., Kt. 25 cm DVD (12 cm) |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Wydawn. Naukowe UAM |
| record_format | marc |
| series2 | Uniwersytet Imienia Adama Mickiewicza <Poznań> / Seria Geografia |
| spelling | Stach, Alfred Verfasser aut Analiza struktury przestrzennej i czasoprzestrzennej maksymalnych opadów dobowych w Polsce w latach 1956 - 1980 Alfred Stach Wyd. 1. Poznań Wydawn. Naukowe UAM 2009 322, [1] s. il. - Ill., graph. Darst., Kt. 25 cm DVD (12 cm) txt rdacontent n rdamedia nc rdacarrier Uniwersytet Imienia Adama Mickiewicza <Poznań> / Seria Geografia 85 Zsfassung in engl. Sprache u.d.T.: Analysis of the spatial and spatial-temporal structure of maximum daily precipitation in Poland in the years 1956 - 1980 Geschichte 1956-1980 gnd rswk-swf Niederschlag (DE-588)4132260-5 gnd rswk-swf Polen (DE-588)4046496-9 gnd rswk-swf Polen (DE-588)4046496-9 g Niederschlag (DE-588)4132260-5 s Geschichte 1956-1980 z DE-604 Seria Geografia Uniwersytet Imienia Adama Mickiewicza <Poznań> 85 (DE-604)BV006180510 85 Digitalisierung BSB Muenchen 2 application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020798832&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung BSB Muenchen 2 application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020798832&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Stach, Alfred Analiza struktury przestrzennej i czasoprzestrzennej maksymalnych opadów dobowych w Polsce w latach 1956 - 1980 Niederschlag (DE-588)4132260-5 gnd |
| subject_GND | (DE-588)4132260-5 (DE-588)4046496-9 |
| title | Analiza struktury przestrzennej i czasoprzestrzennej maksymalnych opadów dobowych w Polsce w latach 1956 - 1980 |
| title_auth | Analiza struktury przestrzennej i czasoprzestrzennej maksymalnych opadów dobowych w Polsce w latach 1956 - 1980 |
| title_exact_search | Analiza struktury przestrzennej i czasoprzestrzennej maksymalnych opadów dobowych w Polsce w latach 1956 - 1980 |
| title_full | Analiza struktury przestrzennej i czasoprzestrzennej maksymalnych opadów dobowych w Polsce w latach 1956 - 1980 Alfred Stach |
| title_fullStr | Analiza struktury przestrzennej i czasoprzestrzennej maksymalnych opadów dobowych w Polsce w latach 1956 - 1980 Alfred Stach |
| title_full_unstemmed | Analiza struktury przestrzennej i czasoprzestrzennej maksymalnych opadów dobowych w Polsce w latach 1956 - 1980 Alfred Stach |
| title_short | Analiza struktury przestrzennej i czasoprzestrzennej maksymalnych opadów dobowych w Polsce w latach 1956 - 1980 |
| title_sort | analiza struktury przestrzennej i czasoprzestrzennej maksymalnych opadow dobowych w polsce w latach 1956 1980 |
| topic | Niederschlag (DE-588)4132260-5 gnd |
| topic_facet | Niederschlag Polen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020798832&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020798832&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV006180510 |
| work_keys_str_mv | AT stachalfred analizastrukturyprzestrzennejiczasoprzestrzennejmaksymalnychopadowdobowychwpolscewlatach19561980 |