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Patrick Arneitz, Roman Leonhardt, Elisabeth Schnepp, Balázs Heilig, Franziska Mayrhofer, Peter Kovacs, Pavel Hejda, Fridrich Valach, Gergely Vadasz, Christa Hammerl, Ramon Egli, Karl Fabian, Niko Kompein, The HISTMAG database: combining historical, archaeomagnetic and volcanic data, Geophysical Journal International, Volume 210, Issue 3, September 2017, Pages 1347–1359, https://doi.org/10.1093/gji/ggx245
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Summary
Records of the past geomagnetic field can be divided into two main categories. These are instrumental historical observations on the one hand, and field estimates based on the magnetization acquired by rocks, sediments and archaeological artefacts on the other hand. In this paper, a new database combining historical, archaeomagnetic and volcanic records is presented. HISTMAG is a relational database, implemented in MySQL, and can be accessed via a web-based interface (http://www.conrad-observatory.at/zamg/index.php/data-en/histmag-database). It combines available global historical data compilations covering the last ∼500 yr as well as archaeomagnetic and volcanic data collections from the last 50 000 yr. Furthermore, new historical and archaeomagnetic records, mainly from central Europe, have been acquired. In total, 190 427 records are currently available in the HISTMAG database, whereby the majority is related to historical declination measurements (155 525). The original database structure was complemented by new fields, which allow for a detailed description of the different data types. A user-comment function provides the possibility for a scientific discussion about individual records. Therefore, HISTMAG database supports thorough reliability and uncertainty assessments of the widely different data sets, which are an essential basis for geomagnetic field reconstructions. A database analysis revealed systematic offset for declination records derived from compass roses on historical geographical maps through comparison with other historical records, while maps created for mining activities represent a reliable source.
1 INTRODUCTION
Two data types reveal details about the past geomagnetic field. On the one hand, the remanent magnetization of rocks, sediments and archaeological artefacts can be investigated to reconstruct the direction and intensity of the geomagnetic field (indirect records). On the other hand, geomagnetism is one of the longest established sciences in human history and, therefore, historical (direct) field readings have been performed during the last centuries.
In ancient times, the attractive force of natural magnets (lodestone) on iron was already known and described by natural philosophers like Thales of Miletus (e.g. Courtillot & Le Mouël 2007). Its directive property was first discovered in China and the lodestone was used to magnetize iron to design first ‘floating compasses’ (iron placed on cork floating on the water) in the first centuries AD (e.g. Balmer 1956). In later developments, the needle was suspended on a fibre as described by Shen Kua around 1088 AD, who also noted that the needle did not exactly point to the south, but deviated slightly to the east (see e.g. Kono 2007, and references therein). Older observations of magnetic declination from the medieval China were compiled by Smith & Needham (1967). The oldest of these measurements was performed by the Buddhist astronomer I-Hsing around 720 AD (Needham 1962).
The earliest mentions of the compass in Europe occur around 1187 AD (e.g. Chapman & Bartels 1962): Alexander Neckham wrote about the common use of the magnetic needle to indicate north for mariners and described a compass, where a needle was placed on a pivot. A more detailed design of a pivoted compass as well as the concept of magnetic poles were given by Petrus Peregrinus (e.g. Courtillot & Le Mouël 2007) in his famous ‘Epistola de Magnete’ in 1269. Nevertheless, declination was unknown during these times, which is reflected, for example, by the distortion and rotation of old portolan charts (navigational maps based on compass directions), which can be used to reconstruct historical declination values (Yilmaz et al.2010). The discovery of declination in Europe is attributed to sundial designers of the 15th century (e.g. Balmer 1956; Chapman & Bartels 1962), who marked the value on the compass attached to the sundial to guarantee an accurate orientation. The earliest known value was recorded by Georg Peuerbach in 1451 (Zinner 1939). However, this knowledge was initially not widely distributed and the deviation of the needle from geographic north was explained by imperfections of the instruments and/or the lodestone used to magnetize the needle (Balmer 1956).
The slant of the magnetic needle was first described by Georg Hartmann in a letter from 1544, while Robert Norman performed the first specific measurement of inclination with the dip circle in 1576 (e.g. Courtillot & Le Mouël 2007). This discovery formed the basis for Gilbert’s experiments, which were summarized in his famous publication ‘De Magnete’ from 1600. Gilbert investigated deflections of the needle caused by a spherical magnet (called ‘terella’)—a similar one had been used by Petrus Peregrinus for his experiments—and concluded that the Earth itself is a magnetic body (e.g. Kono 2007).
As soon as the temporal change of declination (‘secular variation’) was observed by Gellibrand in 1634 (e.g. Chapman & Bartels 1962), monitoring of the geomagnetic field started at individual locations like London (Malin & Bullard 1981) or Paris (Alexandrescu et al.1996). The spatial variation of geomagnetic directions was investigated during several marine voyages, which led to the first isogonic chart of the Atlantic by Halley (1701). During the late 18th and in the beginning of the 19th century, the first iron-free observatories were constructed (e.g. Chapman & Bartels 1962), while the systematic observation of all geomagnetic field components on a global scale is marked by the initiation of the ‘Göttingen Magnetic Union’ by Gauss and Weber in 1830s. Gauss (1833) complemented geomagnetic measurements with his method for absolute field intensity determination; earlier—from the end of the 18th century—relative values had been derived from the oscillation period of the needle displaced from its rest position (e.g. von Humboldt 1814–1829).
In the middle of the 19th century, first investigations of the natural remanent magnetization of rocks were performed, which enabled a look back into the geomagnetic past far beyond the historical period. Around 1850 Delesse and Melloni found that some rocks have a magnetization parallel to the Earth’s magnetic field (e.g. Kono 2007). Folgheraiter (1899) extended the studies on baked archaeological materials like pottery and bricks. Ongoing investigations enabled great scientific progress like the discovery of field reversals and its influence on the theory of plate tectonics. Besides these remarkable contributions, the Thellier method (Thellier & Thellier 1959)—based on works by Folgheraiter (1899) and Koenigsberger (1936)—for palaeointensity measurements represented a landmark for studies of palaeosecular variations. Since then, a variety of different palaeointensity protocols as well as quality checks and corrections (for anisotropy, alteration, cooling rate dependence) have emerged. The reader is referred to, for example, Brown et al. (2015a) or Paterson et al. (2014), and references therein for a detailed discussion.
In the last decades, great efforts were made to collect archaeo- and palaeomagnetic records (e.g. Korte et al.2005; Donadini et al.2006; Genevey et al.2008; Korhonen et al.2008). The most up to date compilation is provided by the GEOMAGIA50.v3 database (Brown et al.2015a,b). On the other hand, one global data set of historical records is available (Jonkers et al.2003), while other studies focused on restricted areas (e.g. Korte et al.2009) or scientific expeditions (e.g. Hansen & Aspaas 2005). Nevertheless, a comprehensive approach to provide these different collections within one openly accessible database with inclusion of essential metadata describing the historical measurements, is absent up to now.
In this paper, we present a combined database integrating historical as well as archaeomagnetic and volcanic records. The structure of HISTMAG database is strongly aligned with those of GEOMAGIA50.v3 (Brown et al.2015a, http://geomagia.gfz-potsdam.de/, last accessed February 2017) and the compilation by Jonkers et al. (2003), which contribute the major part to the global data collection. Therefore, we will focus on new database fields describing the records as well as new features of database handling in Section 2, while the technical details and the common metadata framework is presented in the associated manual of HISTMAG database (Supplementary Materials A). In Section 3, the different data sets are described. In this section, we put strong emphasis on the newly acquired historical and archaeomagnetic data sets from central Europe. The collected metadata allow for an analysis of the reliability as well as accuracy of historical records (Section 4). Section 5 gives a summary of the database and a future outlook.
2 DATABASE STRUCTURE
HISTMAG is a dynamic web-based database accessible online at http://www.conrad-observatory.at/zamg/index.php/data-en/histmag-database (upon successful registration at the website). It is based on the LAMP (Linux, Apache, MySQL, PHP) model. The user can access HISTMAG via a web-based interface and data are stored in the relational database management system MySQL. The Apache HTTP web server is used to process users’ requests. PHP is the server-side scripting language used to make these requests readable for the MySQL database on the one hand, and to transform the output in form of HTML tables and output files on the other hand. The relational structure of the database (Fig. 1) allows to join different tables containing different information for each record. While the data table contains the majority of the records’ information, additional tables were created in order to store related meta information comprising several fields (sites, literature), to enable the assignment of more than one value to one field in data (dating, refs) or to allow for special user needs and interaction (search, discussion).

Schematic overview of tables and relations in the MySQL database.
HISTMAG database is strongly influenced by the main collections regarding historical data from the last ∼500 yr (Jonkers et al.2003) and archaeomagnetic and volcanic records (Brown et al.2015a) covering the last 50 kyr. Therefore, most fields have been adopted from the two compilations. Furthermore, the query interface offers similar options as GEOMAGIA50.v3. While the HISTMAG manual (Supplementary Materials A) contains all details of the fields describing the records as well as the web interface, we only want to briefly present noteworthy modifications of the structure below. Historical as well as archaeomagnetic and volcanic records are described by fields, which can be generally summarized in four categories:
Time
Location
Measurement
Reference
The age of the record is complemented by information of its uncertainty and the dating procedure. We have introduced a set of additional fields (seq, prev, next, equal) which allows for the identification of the records’ location within a stratigraphy (see Section 3.2.2), which provides further temporal information. The local time of the historical records—typically for observatories performing several measurements per day—is given according to the original publications (hour). The extra information of the radio carbon results table on C14 ages (e.g. uncalibrated C14 age) from GEOMAGIA50.v3 (Brown et al.2015a) has not been incorporated. The records’ geographical position is described by coordinates (latitude lat and longitude lon) and, when available, the place name (site, location, country).
Metadata describing palaeomagnetic measurements have been adopted from Brown et al. (2015a). Minor changes, mainly related to the field names, are documented in the HISTMAG manual (Supplementary Materials A). For historical measurements, several new fields are presented. If available, the observer (obs), the used instrument (e.g. decl_inst) and the method (e.g. decl_meth) are listed. The latter field allows to specify whether the presented magnetic value was derived from a direct measurement, was reconstructed (e.g. from mining adit directions), or represents the mean of a measurements series (e.g. annual mean). For intensity values, the code scheme by Jonkers et al. (2003) was adopted to distinguish between absolute and relative measurements (first letter of inten_code: ‘A’ or ‘R’) and measurements of the total or horizontal intensity (second letter of inten_code: ‘T’ or ‘H’). It has to be noted, that all historical intensities have been converted to nanotesla (except for some old relative intensity measurements, see Section 3.1.1). For this purpose, the third letter of inten_code revealing details of the original intensity unit/scale and conversion factor cal (according to tables 3 and 4 in Jonkers et al.2003) were used.
The ‘Reference category’ comprises literature as well as remarks on records extracted from the original documents or the processors (comment). Additionally, the source field is used to group historical field readings for different applications in the past (e.g. data from mining activities or from sundials) or defines the material investigated in archaeo- and palaeomagnetic studies. The comp_id field is used to identify subsets of the compilation by Jonkers et al. (2003) as well as records extracted from GEOMAGIA50.v3 database (Brown et al.2015a). The possibility to flag records was implemented for three reasons. (1) Unreliable values can be marked (e.g. displaced archaeological features). (2) Different data sets might contain the same records. If such duplicates were detected, the record with less or wrong metadata was flagged (see Section 3.3). (3) The flag ‘modelling’ is aimed to facilitate data selection for geomagnetic modelling purposes. Therefore, records missing essential information on age, longitude, latitude or without geomagnetic measurement values can be automatically excluded from the query. Furthermore, series of single observations (e.g. daily measurements) are excluded and instead mean values (e.g. annual) are available, which are sufficient for the temporal resolution of global geomagnetic field modelling. For a few newly acquired historical data sets additional mean values were calculated (e.g. for all mining adit directions of one mining site at the same year) to support the above-mentioned flagging approach. These values can be identified via the comment field entry ‘histmag calculation’.
Finally, we want to present two new key features of HISTMAG database. First, users have the possibility to comment each record (field user_commment in table discussion). This offers the opportunity for a fruitful discussion on the different data enabling a better assessment of the quality and the reliability of the records. Secondly, we have implemented a ‘Keyword Query’, which scans metadata for matches. This query type is realized by a separate table (search) with full-text index on the fields describing the source, location, literature, observer and comment of the records. The reader is referred to the HISTMAG manual (Supplementary Materials A) to see illustrative examples of the user-comment function and the ‘Keyword Query’.
3 DATA
The current version of HISTMAG database comprises 190 427 records of the past geomagnetic field (Table 1) on the global scale. It has to be pointed out that the majority of records comes from pure historical declination measurements without inclination or intensity information (∼140 000) due to the application of the magnetic compass in navigation and orientation. The main focus of this study—beside the proper preparation of the database structure—was the acquisition of new records. Major focus was set on central Europe, where our team had the best access to archives and documents as well as archaeological sites, respectively (Fig. 2). In the following subsections, details on the historical as well as archaeomagnetic and volcanic collections are presented.

Spatial (top) and temporal (bottom) distribution of (a) historical and (b) archaeomagnetic and volcanic records from central Europe.
Number of records included in the HISTMAG database: the total number nrecords as well as individual declination (nD), inclination (nI) and intensity records (nF) for different data sets.
Number of records included in the HISTMAG database: the total number nrecords as well as individual declination (nD), inclination (nI) and intensity records (nF) for different data sets.
3.1 Historical records
3.1.1 Published collections
The compilation by Jonkers et al. (2003) is the centrepiece of the global historical data collection. It contributes ∼177 000 records, from which the majority was measured on ship voyages. About 17 000 from these records represent land sightings and do not have any information on the geomagnetic field components. All data were integrated into the database and can be retrieved via source value ‘Jonkers et al. (2003)’ in the online query form. Different data sets or voyages within the collection are identified by the comp_id ‘JX’, where X stands for the idcode used by Jonkers et al. (2003). Longitudes (as well as latitudes) are given in decimal numbers relative to Greenwich and were calculated using the list of different prime meridians provided by Jonkers et al. (2003). In one case (‘J4172’), the missing prime meridian for Concepción, Chile, was added (de Ulloa & Schwabe 1751). For two records from set ‘J3318’, however, no longitudes could be determined because the prime meridian could not be reconstructed. A few typos associated with the date of the records have been identified upon data import and corrected (noted in the comment field). While all declination and inclination data have been transformed (from degrees and minutes) to decimal numbers, intensity values were converted (from different scales/units), when necessary and possible, to nanotesla. This conversion is based on the field inten_code and the conversion factor cal (see tables 3 and 4 in Jonkers et al.2003). For the oldest relative intensity measurements in 1791–1794 by De Rossel (‘J3500’) and in 1799 by Humboldt (‘J4484’), however, no adequate conversion factor was given. In these cases, relative values of intensity are reported in the records’ comment field.
About 1200 intensity records exist in the database, which are termed as absolute, but—starting with the year 1816—had been measured before Gauss (1833) presented a method to determine the absolute (horizontal) intensity. About 700 values come from collections provided by Edward Sabine and are given in British units (inten_code: ‘ATB’). It has to be pointed out that, for example, early observations in 1818–1820 were originally relative measurements (e.g. Sabine 1838) and later converted to British units in the course of compiling these values (e.g. Sabine 1872). The other ∼500 records represent horizontal intensities in nanotesla (inten_code: ‘AHN’) and mainly come from surveys conducted on Russian territory (e.g. Veinberg 1929–1933). Here, also belated conversions from relative to absolute measure have to be assumed. Since the exact transition from relative to absolute measurements—which can be expected to differ for different observers, regions, etc.—is not assignable without detailed study of the original sources, the term absolute (within the inten_code) is preserved in the database for above discussed records. The user-comment function, however, provides the possibility to identify original relative measurements.
Jonkers et al. (2003) reported that for certain historical compilations (Stevin 1599; Kircher 1654; Wright 1657) distinct date information is missing. The respective publication year has been ascribed to these observations, which, however, could have been performed well before that time. Therefore, identified records are flagged (as unreliable) in the database.
Korte et al. (2009) provided a historical data collection in the area around Southern Germany and examined several untouched sources—e.g. sundials (Fig. 3) or mining activities (Fig. 4)—for the investigation of temporal geomagnetic field changes. The records were extracted from the supporting information of Korte et al. (2009). Additional meta information, if available, has been added from cited primary sources. During this investigation it turned out that certain records from Schreyer (1886) for Berlin, Munich, Regensburg and Prague do not represent historical declination values for the mentioned locations; in fact, these records are interpolated declination values for Freiberg from the given locations and, consequently, they were not integrated into the database.


Declination values collected from mining activities. Direct observations are given by the circles, while records reconstructed from old adit directions are depicted by the diamonds and records noted on mining maps by the squares. The declination curve for Vienna, calculated from the gufm1 model (Jackson et al.2000), is shown for comparison.
3.1.2 This study
Previous investigations of historical geomagnetic field measurements pointed out several potential sources, which we examined in central Europe (Fig. 2a). We collected all available metadata to enable an uncertainty assessment of the different records (Section 4). Furthermore, several records from recent papers were integrated into the database. Below, the different sources as well resulting data sets are discussed.
Besides sundials, mining activities are one of the oldest sources of geomagnetic measurements in central Europe (Fig. 4). Since ∼13th/14th century, the compass has been used for the orientation and mapping of mine adits (Ludwig & Schmidtchen 1997). Christian Doppler realized the potential of this source for the reconstruction of historical declination values and instructed mining areas in the Imperial and Royal Empire to investigate old surveyor maps and books (Doppler 1850). These old documents contained adit directions from previous centuries, which could be compared to current directions. In this way, declination time-series for mining areas in Böckstein, Wieliczka and Bad Bleiberg were derived. For the latter location, additional direct declination measurements were performed from 1782 to 1846. Doppler (1851) also provided the impetus for the collection of declination values from the mining area Freiberg, Saxony, where the compass had been in use in mining activities at least since the 16th century. Schreyer (1886) took up this idea for his collection of geomagnetic observations in Saxony and compiled a comprehensive time-series for several mining areas (e.g. Freiberg and Clausthal). Korte et al. (2009) have already compiled most records from Schreyer (1886). While they focused on decennial and annual means, we provide further single measurement results as well as meta information on the origin of the records from Saxony (e.g. if declination was directly measured or reconstructed from adit directions). The most famous mining site in the Kingdom of Hungary was Selmecz, also called Schemnitz (now Banská Štiavnica, Slovakia), where Christian Doppler was professor at the mining university Berg- und Forstakademie Schemnitz (In Slovak: Banícka a lesnícka akadémia, Banská Štiavnica) from 1847 to 1849. He instructed Markscheidsadjunct Pál Balás with the collection of old declination data, whereby the comparison of adit directions was the primary source for earlier centuries (Balás 1850). Direct measurements were sporadically performed during the 18th century, and more regularly during the 19th century. Furthermore, we could acquire five maps in the map collection of Slovenský banský archív v Banskej Štiavnici, on which old declination values had been written down. Similar findings could be made for Nagybánya (now Baia Mare, Romania) (Steiner 1923) as well as in the map archive of the Austrian Montanbehörde. To summarize, mining activities offer a valuable amount of historical declination data from three different sources: (1) adit directions, (2) direct observations and (3) mining maps. The temporal evolution of declination extracted from these sources is depicted in Fig. 4.
The knowledge of declination was also very important for the creation of topographic maps at the beginning of the modern era. Philipp Appian already considered the magnetic declination during his mapping survey for his ‘Bayern-Karte’ in the middle of the 16th century (Lindgren 2013). On old maps one can occasionally find compass roses, which—in several cases—show the magnetic needle pointing to a different direction than geographic North ‘Septentrio’ (e.g. Fig. 5). This can be interpreted as a measure for the magnetic declination for the period and region the map is related to. However, in several cases the question arises, if these compass roses should be rather seen as a decorative accessories than a scientifically documented record. Only in a few cases, the declination value is written down on the map increasing its credibility. We have compiled 48 declination values from historical maps by investigating the Austrian State Archives, the Hungarian National Archive, the Sopron Archive as well as online databases. For maps of larger areas (e.g. of one country), coordinates were estimated from the centre of the displayed region.

Compass rose on a historical topographic map (1579 AD) from the Austrian State Archives (AIII3 Blatt 37).
Mapping campaigns for the army are another valuable source for historical magnetic measurements. Luigi Ferdinando Marsigli worked as a military engineer on mapping for the Imperial army in 1696. During the survey, he recorded declination values with four compasses and published the results of compass 4 (Marsigli 1700). The observations of all four compasses could be found in Bologna (Marsigli 1696) and we calculated weighted means of results from compasses 2 (weight 1) and 4 (weight 2), as compasses 1 and 3 seemed to be unreliable.
During the 18th century, a steady increase in number of declination measurements on the continent can be constituted. Isolated records can be found, for example, in Mikoviny (1732, 1735). Declination observations were often performed in combination with other scientific measurements like astronomical ones as in case of the observatory Altdorf (Müller et al.1723). Jesuit Father and astronomer Maximillian Hell travelled in 1768 to Vardø, Norway, to observe the transit of Venus. Hansen & Aspaas (2005) provided a comprehensive summary of his journey comprising time-series of declination at Vardøfrom 1769 April–June and observations on his way back to Copenhagen. However, artificial iron objects (oven, quadrant) as well as magnetic storm(s) disturbed his measurements (see Section 4).
The combination of meteorological and magnetic measurements also had a strong tradition in central Europe with the most outstanding example of the Societas Meteorologica Palatina—a network of stations for meteorological observations (Kington 1974). It was founded in 1780 and under the leadership of Johann Hemmer declination measurements were performed at up to 19 stations spread over Europe (Fig. 6). All stations had to follow instructions to ensure consistent measurements at the different stations. Observers should be aware of iron, natural and artificial magnets and magnetic declination measurements were usually performed three times a day and annually published in the ‘Ephemerides’ (e.g. Hemmer 1783). We investigated the ‘Ephemerides’ and collected declination values for the period 1781–1792. Another important aspect is that the stations were supplied with the same instruments—a declinatorium by Georg Friedrich Brander (Fig. 7). A detailed description of the declinatorium can be found at Brander (1779) and its resolution is discussed in Section 4.1.

Isogonic chart calculated from annual means at the stations of the Societas Meteorologica Palatina (red squares presented on a modern map) for the year 1784 (Hemmer 1786).

Declinatorium by Georg Freidrich Brander and Höschel (Universita di Bologna, Dipartimento di Astronomia, MUSEO DELLA SPECOLA).
The instruments by Brander were also used in several monasteries, which were places of rich scientific tradition during that time. Korte et al. (2009) already investigated measurements at monasteries in Kremsmünster, Augsburg (St. Stephan) and Hohenpeissenberg. For the latter location measurements were initiated by the Societas Meteorologica Palatina. We have inspected meteorological yearbooks of the monastery Kremsmünster to extend the collection as well as to add more valuable meta information to the database. In the yearbooks, declination measurements were registered since 1815. In the early years, the number of observations per year fluctuated and the series was even interrupted from 1826 until 1828. From 1829 on, the number continuously increased, and since 1834 measurements were performed in the beginning and end of each month twice a day. The last record in the yearbooks originates from 1842 December 31. In the yearbook of 1841, a correction of 32΄ is mentioned for declination values derived with the Brander declinatorium after comparing this instrument with the Gaussian magnetometer. This correction was applied in the final table of the yearbook 1841 until June, when measurements started to be regularly performed with the Gaussian magnetometer. Reslhuber (1854) summarized the time-series extracted from the yearbooks now using a correction factor of 44΄ for declination values determined with the Brander declinatorium. However, between 1841 June 1841 and 1842 May still a difference of 9΄ (of unknown origin) between yearbook records and Reslhuber’s results was detected. In the database both time-series are provided with an account for their difference in the comment field. More reports (Reslhuber 1856, 1859, 1860a, 1861) provide regular measurements of all three geomagnetic components until 1856 in Kremsmünster.
The measurements in the monastery Kremsmünster already coincide with efforts to systematically determine the global geomagnetic field. The monastery was part of the ‘Göttingen Magnetic Union’ guided by Gauss and Weber (e.g. Chapman & Bartels 1962). Furthermore, there was a strong cooperation with Karl Kreil, the first director of the ‘k.k. Centralanstalt für Meteorologie und Erdmagnetismus’ (today ZAMG), which was founded in 1851. Kreil performed a comprehensive measurement campaign in the Austro-Hungarian Empire including the Adriatic coast as well as in southeast Europe and parts of Asia from 1843 to 1858 (e.g. Kreil 1862). We have collected the original geomagnetic values, because the compilation by Jonkers et al. (2003) contains the values reduced to the epoch of 1850. Diurnal corrections are not considered for the original values. We assume, however, that for the large investigated region and period the reduction error—reduction was based on observatory values from Vienna and Prague, respectively—is greater than the diurnal/annual variation. For the second land survey at the end of the 19th century in Austria (Liznar 1895) and Hungary (Kurländer 1896) reduced values have been integrated in the database due to the smaller spatial and temporal extent (1889–1893 and 1892–1894, respectively) of the campaign. During the 19th century, the Imperial and Royal Navy carried out several magnetic surveys in the Adriatic Sea for scientific purposes. Schellander (1871) collected all records of this region since 1806 and was responsible for the survey from 1867 to 1870. Further surveys were conducted by Laschober (1892) in 1889 and 1890 and by Kesslitz (1907). Finally, a time-series for Vienna from 1851 until 1898 (Toperczer 1952) was integrated in the database.
Beside the detailed study of the scientific development of geomagnetism in central Europe, we were able to integrate a few historical records from other continents into the database. For instance, Vaquero & Trigo (2005) summarized declination observations in Rio de Janeiro by Bento Sanches Dorta from 1781 to 1788. Smith & Needham (1967) compiled 18 declination observations from China covering a period from 720 to 1829 AD (Fig. 8). This data set contains therewith the earliest direct observations of the geomagnetic field. While for the oldest record—observed by I-Hsing—the original manuscript could not be found, Smith & Needham (1967) could at least trace it back to documents from 1713, which increases the credibility of this datum. For other early observations, the dating uncertainty is not well specified. Nevertheless, collected values since around the year 1100 AD show quite good agreement (Fig. 8) with archaeomagnetic data (Brown et al.2015a) and geomagnetic field models (Korte & Constable 2011; Pavón-Carrasco et al.2014). For the modern era, consistency with historical records by Jonkers et al. (2003) is strong. Therefore, we consider this set as ‘basically useful’. Furthermore, declination values derived from 15th century portolan charts (Cafarella et al.1992; Yilmaz et al.2010) are included in the database.

Temporal evolution of D in China depicted by historical records (Smith & Needham 1967; Jonkers et al.2003), archaeomagnetic data (Brown et al.2015a) as well as CALS3k.4 (Korte & Constable 2011) and SHA.DIF.14k (Pavón-Carrasco et al.2014) models. Models were evaluated at 110°E and 35°N and records lie within a 1000 km radius.
3.2 Archaeomagnetic and volcanic records
3.2.1 Published collections
3.2.2 This study
The purpose of HISTMAG database is not the collection of newly published archaeomagnetic or volcanic data. Accordingly new entries of indirect observations are very limited and were restricted mainly to the new data of one of the authors (ES). The database was supplied with published directional data (33), some accompanied by intensity (2), from 12 locations in Germany and Austria (Klemm et al.2007; Schnepp 2011a,b; Schnepp et al.2015, 2016; Schnepp & Brüggler 2016; Schnepp 2016, 2017). In addition, it was decided to include one further study from Poland, which is close to Austria (<1000 km) and poorly covered with indirect data. The data set (Czyszek & Czyszek 1987) was published long time ago and contains 19 inclinations, 12 intensities and 36 intensities with inclinations obtained from displaced material (bricks and whorls) using the Thellier method. The ages range from 3000 BC to 1925 AD, but most are medieval or modern. Furthermore, 50 old data have been supplied with stratigraphic information, which is very useful for Bayesian modelling (e.g. Schnepp et al.2004). Each record is assigned a unique seq number composed of a country acronym (ISO-2), a number defining the site and location and a number identifying the stratigraphic position counted from top downwards. For example, seq number ‘DE_035_02’ is used for the record of the second layer down within the bread oven floor sequence in Lübeck, Germany (Schnepp et al.2009). Fields prev and next define adjacent under- (‘DE_035_03’) and overlying (‘DE_035_01’) records, respectively. Data from the same stratum are defined by the equal field.
In the course of these works, some data were corrected or revised using the newest information. One direction and one age of the German data set has been revised (Schnepp 2008, 2010), while in 11 cases for Germany and one for Austria entries inherited from GEOMAGIA50.v3 (Brown et al.2015a) have been changed because they disagreed with the author’s database. This concerned a longitude, a country name, two precision parameters, four ages and seven location names, while one direction of a displaced structure was flagged as unreliable. One entry was flagged as duplicate, because the location Drassburg (Darufalva) in Austria appears also with its Hungarian name and rounded site coordinates as a Hungarian location in GEOMAGIA50.v3. Apart from Austrian and German records, three wrong pubID values from France (Hervé et al.2011) and four wrong country names in the study by Sternberg (1989) were detected and corrected. Finally, wrong longitude signs for 62 records from Spain and Portugal were adjusted. All these corrections made for HISTMAG were also communicated to Maxwell Brown, who is the custodian of GEOMAGIA50.v3.
3.3 Duplicates
In Section 3.1.2, we occasionally stressed out that historical records, which we have investigated, have already been collected by other authors (Jonkers et al.2003; Korte et al.2009). We deal with this partial redundancy in a way that we flag concerned records from former publications as duplicates. This decision was made due to the fact that we added more metadata to our collections and, therefore, records can be scrutinized more thoroughly. The corresponding duplicates, however, are kept in the database to provide full traceability of the contents. Please keep in mind that we only defined duplicates, when (1) we acquired the respective record and (2) a convincing agreement between the record and its counterpart regarding location, time, measurement value and/or reference could be found. That is, we did not search for internal duplicates within the data sets provided by Jonkers et al. (2003), especially, as we do not have access to all references. In several cases, it would be impossible to decide whether two records are the same or just by chance temporally and spatially close but different records. In total, we found 471 historical duplicates.
Beside the one duplicate record detected in GEOMAGIA50.v3 database itself (Section 3.2.2), it was decided to flag the original 83 indirect records, which required a correction or revision, as duplicates in HISTMAG database. Revised/corrected versions were added as new entries for easier handling of future updates and revisions of GEOMAGIA50.v3 database.
4 QUALITY OF HISTORICAL RECORDS
The quality of historical records is driven on the one hand by random measurement errors and, on the other hand, by systematic bias introduced by the source of the record. Besides instrumental uncertainties, measurement errors can originate from artificial or natural magnetic disturbances (e.g. crustal anomalies or ionospheric disturbances). While in the early years, observational errors exceeded the magnitude of regular daily variations of the external field (Alexandrescu et al.1996), these effects were covered by measurements conducted several times a day at least from the end of the 18th century (e.g. Hemmer 1783). Irregular field variations—for example, magnetic storms, first discovered by Celsius and Graham in 1741 (Chapman & Bartels 1962)—were documented during the 18th (e.g. Hansen & Aspaas 2005) and the 19th century (Reslhuber 1860b). Before that time, the effect of these disturbances is hard to assess. However, the effect of these disturbances can be expected to be significantly reduced, because many historical records in the database represent means of several observations.
General estimates of instrumental and observational uncertainties have been made by different authors. For example, Cafarella et al. (1992) reported uncertainties of 5°–6° related to the scale division of the compass card (into ‘quarters’ with 11.25° width) during Colombo’s time. Jackson et al. (2000) have used repeated declination measurements performed on one day to estimate an error of ≈0.5° from the standard deviation for pre-19th century data. Alexandrescu et al. (1996) estimated an accuracy of better than 10΄ for late 18th century declination measurements in Paris. Inclination determinations were generally affected by higher inaccuracies (Chapman & Bartels 1962). Brander (1779) reported large errors caused by the inaccurate magnetization of magnetic needles. He gave an example where the inclination value changed for more than 3° when the needle was suspended in opposed direction. However, from the middle of the 19th century on, inclination measurements were continuously improved with inventions of the ‘dipping needle deflector’, the induction-inclinometer and the Earth inductor (Multhauf & Good 1987). As far as the absolute intensity determinations (Gauss 1833) are concerned, their uncertainty can be estimated (e.g. Bock 1945) from mechanics of used magnetic theodolites (e.g. from deflection angle readings, magnet temperature correction, oscillation damping and torsion correction).
The source of the magnetic measurement can significantly contribute to its uncertainty. For several groups—such as sundials and historical maps—larger errors can be assumed (e.g. Korte et al.2009). Therefore, we split uncertainty investigations in two parts. In Section 4.1, we use collected metadata regarding instruments and measurement procedures to quantify statistical errors. Furthermore, additional information extracted from original documents or summarizing articles is discussed and its handling in the database is presented. In Section 4.2, the potential bias of data sets with suspicious credibility is investigated.
4.1 Measurement uncertainties
The information on the used instrument (e.g. Fig. 7) is a valuable tool to quantify statistical measurement errors as for the succeeding examples. Reslhuber (1854) gives a reading accuracy of 2΄–3΄ for the Brander declinatorium for a scale division of 5΄. During his expedition to Norway, Hell used the Kratzstein declinometer for several measurements, for which a reading accuracy of 2΄ could be reached using a convex glass (Hansen & Aspaas 2005). During 1770s in Freiberg, declination measurements were performed with two different instruments. The used surveyor compass, the common device for measuring the orientation of mining adits at that time, allowed the reading of 1/64 hr (1 hr = 15°), which corresponds to an uncertainty of ∼7΄. The second device—equipped with a 6 inch needle—had a scale division of 1/8° delivering an uncertainty of ∼4΄. For declination values retrospectively derived from adit directions, we calculated mean values from all directions within one mining area and the associated standard deviation can be seen as a measure for their uncertainties. Moreover, the length of the needle provides the possibility to define the reading accuracy. Bartha (2003) estimated a reading error of 15΄ assuming a reading accuracy of 1 mm for the needle length of 45 cm used by Marsigli (1696). In other cases, we have to count on the assessment of authors, who processed the historical data. Schellander (1871) estimated an accuracy of about 6΄–10΄ for declination measurements at the Adriatic coasts by Marieni in the beginning of the 19th century. Vaquero & Trigo (2005) considered an error of 10΄ as appropriate for Sanches Dorta’s observations in Rio. As in case of the Chinese data set (Smith & Needham 1967), the measurement error was deviated from the statement describing the record. In this way, the text ‘3–4 E°’ was transferred to a declination value of +3.5° with an uncertainty of 0.5°. The above-presented uncertainty estimates are given in the database in the field ddecl for the corresponding records. These single measurement uncertainties were also applied to related mean values (e.g. monthly or annual). In this case, the ddecl value represents a conservative estimate.
The ‘technical’ uncertainty information has to be complemented with possible inconsistencies or incidents during the measurements. These have been taken from the original documents and are described in the comment field in the database. We have chosen a text format instead of, for example, a unique code, as the variety of possible incidents is by far too large. For instance, the uncertainty of location or age for some Chinese records (Smith & Needham 1967), which cannot be quantified, are documented in the comment field. We mention differences revealed by comparison measurements with different instruments (e.g. Reslhuber 1854) or baseline jumps (e.g. Hemmer 1788). Furthermore, it is noted, when authors suggest a correction of records due to sudden changes during the measurement series, as for example, Vaquero & Trigo (2005). Corrections due to the influence of iron objects as well as recognized magnetic storms as in case of Maximilian Hell’s measurements in Vardø (Hansen & Aspaas 2005) are also documented in the comment field. After realizing the disturbing effect of the oven and the quadrant, Hell started a new time-series in a new observatory. However, first (1769 April 26–May 19) and second time-series (1769 May 23–June 20) both yield the same mean value and diurnal variations are comparable to modern observations for these latitudes (Hansen & Aspaas 2005), which guarantees the overall quality of these records. Only in extreme cases, records were flagged as unreliable depending on the original information. This is the case, for example, for the two inclination measurements in 1817 in Kremsmünster, which are overestimated due to imperfections of instrument and method (Reslhuber 1854). Furthermore, records without reliable dating (e.g. Stevin 1599; Kircher 1654; Wright 1657, see Section 3.1.1) fall into this category.
4.2 Systematic bias
The above-defined approach for the assessment of data quality is hampered, if certain data sets are biased in a way that cannot be extracted from original documents. HISTMAG database provides the possibility to test specific historical data sets against other temporally and spatially surrounding records. We adopt the strategy of Arneitz et al. (2017), who investigated the reliability of archaeomagnetic and palaeomagnetic records via comparison with historical data. Here, instead of indirect records, mining data (derived from adit directions and mining maps), historical maps and sundials are compared with all other remaining historical records. Details on the evaluation with corresponding figures can be found in Supplementary Materials B.
In a first evaluation run, it turned out that assumed uncertainties of historical declination measurements (0.5°)—used for Monte Carlo simulations—are underestimated for the specific data sets. Therefore, a posteriori estimates of individual uncertainties (|$\displaystyle{\mathop{\epsilon }^{\sim }}_{D}$|) were determined and have been used in a second run. The inspection of time-series derived from sundials revealed three obvious outliers for Nürnberg (one record) and Augsburg (two records), which were excluded from the evaluation (red crosses in Fig. 3). The a posteriori error estimates |$\displaystyle{\mathop{\epsilon }^{\sim }}_{D}$| largely exceed 0.5°, reaching up to ≈8° in the case of historical maps. Systematic deviations from the remaining historical records were determined for all three data sets (Table 2).
Analysis of specific historical data sets. μD is the weighted mean difference between investigated records and remaining historical measurements. SD is an estimate of the standard error of μD caused by random measurement errors (determined with Monte Carlo simulations of synthetic records), ND is the effective sample size supporting μD and SD, based on n selected records out of a total of ntot investigated records. Selected records do not exceed a given error threshold. Column conf. level provides the maximum confidence level for rejecting the null hypothesis μD − μD, 0 = 0 of a Student’s t-test. μD, 0 is obtained by replacing actual records with values from the CALS3k.4 model (Korte & Constable 2011). Rejection can be considered equivalent to existence of a significant bias of the data set with respect to other historical measurements. |$\displaystyle{\mathop{\epsilon }^{\sim }}_{D}$| represents an estimate for the uncertainty of individual records (see Arneitz et al. (2017) for more details). Outliers were rejected in the evaluation for data sets marked with * (see Fig. 3). Supporting figures can be found in Supplementary Materials B.
Data set . | μD (°) . | SD (°) . | ND . | n (ntot) . | Conf. level (per cent) . | |$\displaystyle{\mathop{\epsilon }^{\sim }}_{D}$| (°) . |
---|---|---|---|---|---|---|
Mining | +1.1 | 0.3 | 38 | 62 (90) | 99.0 | 1.6 |
Adit direction | +1.4 | 0.3 | 28 | 42 (60) | 99.0 | |
Maps | +0.4 | 0.5 | 10 | 20 (30) | 80.0 | |
Maps | +2.7 | 1.3 | 34 | 69 (71) | 99.0 | 8.1 |
Compass rose | +2.9 | 1.3 | 33 | 66 (67) | 99.0 | |
Written | +0.9 | 6.5 | 1 | 3 (4) | — | |
Sundials* | −0.9 | 0.6 | 48 | 104 (139) | 99.0 | 4.3 |
Augsburg* | +0.1 | 1.0 | 18 | 21 (29) | <50 | |
Nürnberg* | −0.9 | 0.8 | 31 | 67 (74) | 99.0 | |
Portolan charts | +2.0 | 0.7 | 4 | 5 (11) | — | — |
Smith & Needham (1967) | −0.6 | 0.3 | 4 | 6 (9) | — | — |
Data set . | μD (°) . | SD (°) . | ND . | n (ntot) . | Conf. level (per cent) . | |$\displaystyle{\mathop{\epsilon }^{\sim }}_{D}$| (°) . |
---|---|---|---|---|---|---|
Mining | +1.1 | 0.3 | 38 | 62 (90) | 99.0 | 1.6 |
Adit direction | +1.4 | 0.3 | 28 | 42 (60) | 99.0 | |
Maps | +0.4 | 0.5 | 10 | 20 (30) | 80.0 | |
Maps | +2.7 | 1.3 | 34 | 69 (71) | 99.0 | 8.1 |
Compass rose | +2.9 | 1.3 | 33 | 66 (67) | 99.0 | |
Written | +0.9 | 6.5 | 1 | 3 (4) | — | |
Sundials* | −0.9 | 0.6 | 48 | 104 (139) | 99.0 | 4.3 |
Augsburg* | +0.1 | 1.0 | 18 | 21 (29) | <50 | |
Nürnberg* | −0.9 | 0.8 | 31 | 67 (74) | 99.0 | |
Portolan charts | +2.0 | 0.7 | 4 | 5 (11) | — | — |
Smith & Needham (1967) | −0.6 | 0.3 | 4 | 6 (9) | — | — |
Analysis of specific historical data sets. μD is the weighted mean difference between investigated records and remaining historical measurements. SD is an estimate of the standard error of μD caused by random measurement errors (determined with Monte Carlo simulations of synthetic records), ND is the effective sample size supporting μD and SD, based on n selected records out of a total of ntot investigated records. Selected records do not exceed a given error threshold. Column conf. level provides the maximum confidence level for rejecting the null hypothesis μD − μD, 0 = 0 of a Student’s t-test. μD, 0 is obtained by replacing actual records with values from the CALS3k.4 model (Korte & Constable 2011). Rejection can be considered equivalent to existence of a significant bias of the data set with respect to other historical measurements. |$\displaystyle{\mathop{\epsilon }^{\sim }}_{D}$| represents an estimate for the uncertainty of individual records (see Arneitz et al. (2017) for more details). Outliers were rejected in the evaluation for data sets marked with * (see Fig. 3). Supporting figures can be found in Supplementary Materials B.
Data set . | μD (°) . | SD (°) . | ND . | n (ntot) . | Conf. level (per cent) . | |$\displaystyle{\mathop{\epsilon }^{\sim }}_{D}$| (°) . |
---|---|---|---|---|---|---|
Mining | +1.1 | 0.3 | 38 | 62 (90) | 99.0 | 1.6 |
Adit direction | +1.4 | 0.3 | 28 | 42 (60) | 99.0 | |
Maps | +0.4 | 0.5 | 10 | 20 (30) | 80.0 | |
Maps | +2.7 | 1.3 | 34 | 69 (71) | 99.0 | 8.1 |
Compass rose | +2.9 | 1.3 | 33 | 66 (67) | 99.0 | |
Written | +0.9 | 6.5 | 1 | 3 (4) | — | |
Sundials* | −0.9 | 0.6 | 48 | 104 (139) | 99.0 | 4.3 |
Augsburg* | +0.1 | 1.0 | 18 | 21 (29) | <50 | |
Nürnberg* | −0.9 | 0.8 | 31 | 67 (74) | 99.0 | |
Portolan charts | +2.0 | 0.7 | 4 | 5 (11) | — | — |
Smith & Needham (1967) | −0.6 | 0.3 | 4 | 6 (9) | — | — |
Data set . | μD (°) . | SD (°) . | ND . | n (ntot) . | Conf. level (per cent) . | |$\displaystyle{\mathop{\epsilon }^{\sim }}_{D}$| (°) . |
---|---|---|---|---|---|---|
Mining | +1.1 | 0.3 | 38 | 62 (90) | 99.0 | 1.6 |
Adit direction | +1.4 | 0.3 | 28 | 42 (60) | 99.0 | |
Maps | +0.4 | 0.5 | 10 | 20 (30) | 80.0 | |
Maps | +2.7 | 1.3 | 34 | 69 (71) | 99.0 | 8.1 |
Compass rose | +2.9 | 1.3 | 33 | 66 (67) | 99.0 | |
Written | +0.9 | 6.5 | 1 | 3 (4) | — | |
Sundials* | −0.9 | 0.6 | 48 | 104 (139) | 99.0 | 4.3 |
Augsburg* | +0.1 | 1.0 | 18 | 21 (29) | <50 | |
Nürnberg* | −0.9 | 0.8 | 31 | 67 (74) | 99.0 | |
Portolan charts | +2.0 | 0.7 | 4 | 5 (11) | — | — |
Smith & Needham (1967) | −0.6 | 0.3 | 4 | 6 (9) | — | — |
Historical maps have the largest offset (μD = +2.7°). Compass roses on these maps could have been placed for decorative purposes only. Moreover, systematic positive (Eastern) declination offsets (μD = +2.7°) can be explained by the hypothesis that many compass roses were copied from older maps during times when declination was monotonously decreasing in central Europe (Fig. 3). The small number of maps reporting explicit declination values does not support reliable conclusions; however, they seem to provide more reliable results (μD = +0.9°).
Declination records derived from mining adit directions and mining maps show a smaller bias (μD = +1.1°), whereby the major contribution comes from the former subset (μD = +1.4°). Magnetic anomalies in the mining areas could affect compass measurements, even though surveyors were reported to be aware of this effect (Schreyer 1886). Declination values noted on mining maps, on the contrary, do not show a systematic offset (μD = +0.4°).
The sundial data set has a negative (Western) offset (μD = −0.9°). Therefore, a possible explanation like the copying of older declination values as in case for historical maps can be ruled out. Sundials from Augsburg (after outlier rejection) do not yield a systematic offset (μD = +0.1°). Generally, it has to be noted that the results have to be interpreted with caution because investigated data sets may have strong internal correlations, for example, due to geographical distribution, decreasing the effective sample size ND and statistical testing capabilities. Therefore, the cancellation of different effects, as observed by Arneitz et al. (2017) for diverse indirect data sets, may not be ensured in this case.
Finally, the data sets of portolan charts and Chinese records (Smith & Needham 1967) were also evaluated (Table 2). However, the small sample size does not support meaningful a posteriori measurement error estimates, nor it is possible to draw significant conclusions. It has to be noted that from the Chinese data sets only records younger than 1500 AD could be evaluated. They show good agreement with other historical records (μD = −0.6°) as expected from inspection of Fig. 8.
5 CONCLUSIONS
HISTMAG is an online accessible database that combines historical, archaeomagnetic and volcanic records of past geomagnetic field variations. The major contributions to the data collection come from the compilation by Jonkers et al. (2003) and GEOMAGIA50v.3 database (Brown et al.2015a), respectively, from which the general structure of HISTMAG was adopted. These data are complemented by newly acquired historical and archaeomagnetic records from central Europe. In the course of new data acquisition, the database was complemented by several new fields, which allow for a detailed description of the different data sets. The establishment of HISTMAG database is a further step towards a better understanding of the geomagnetic past, and supports more detailed studies on the reliability and quality of geomagnetic records. For example, a data comparison strategy revealed strong scatter and a systematic offset for declination values derived from compass roses on historical maps with respect to other historical records. The user-comment function is intended for scientific discussion, which will reveal more (not yet captured) information on the different records and, therefore, can be used for reliability and uncertainty assessments in future database updates. Finally, the data collection serves as the basis for future geomagnetic field modelling approaches.
The addition of new historical records, and reliability evaluation of these data is the main focus of our future work. There is a variety of new potential sources (e.g. astrolabes or globes), which could not be examined within the framework of this study. We would be grateful for any related ideas and suggestions as well as indications of not yet incorporated publications. Furthermore, users are invited to provide new records (with corresponding metadata), which can be added in the course of future revisions of the database.
Acknowledgments
The research is funded by Austrian Science Fund (FWF): P24722-N19. The archaeomagnetic study was funded by the Austrian Science Fund (FWF): P23295_N21. The manuscript was improved by the constructive comments of Harald Böhnel and one anonymous reviewer. The authors wish to thank P. Amand Kraml (Sternwarte Kremsmünster), Mr Ehmayer (Österreichisches Staatsarchiv), Robert Holnsteiner (Bundesministerium für Wirtschaft, Forschung und Wissenschaft, Sektion III Energie und Bergbau), Andrea Draxler, Marie Kröhl, Maria Nievoll and Yvonne Fleischhacker.
REFERENCES
SUPPORTING INFORMATION
Supplementary data are available at GJI online.
SupplementaryMaterialsA
SupplementaryMaterialsB
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