ALBERT

Notizen: The author outlines his experiences of photographic surveying, in the early years of the 1930's in the Survey of India, which involved the use of simple graphical methods of plotting.

Notizen: Aerial photography may be used to quickly locate and measure the extent and severity of forest damage due to windblow. This paper describes such an application in a small area of semi-natural woodland in central Scotland after the “Great Gale” of 14th and 15th January, 1968. A 1 : 2000 scale map, showing the location and direction of fall of each windblown tree, suggests certain relationships between topography and the severity of woodland damage and gives considerable information on the airflow pattern existing over the area during the gale.

Notizen: The International Society for Photogrammetry held the XIIth International Congress at Ottawa during July and August 1972. The authors comprised a panel which engaged in discussion upon the Congress at a meeting of the Photogrammetric Society on 17th October, 1972.

Notizen: A phototheodolite was used during the construction of Llyn Brianne dam to provide stereoscopic coverage of both upstream and downstream shoulders of the dam at each of eight stages of construction. Ground control was established on the valley sides, together with 80 targeted points at various levels on the dam as it progressed. The co-ordinates of the targeted points were determined numerically using a Wild A7. Three dimensional displacements were determined from the change of position to an average accuracy of 0–05 m. Agreement was obtained with independent and more precise measurements and comparisons are made with the upstream displacements. The assumptions of an analytical prediction technique are examined. Profile lines through the dam were also obtained numerically to record the progressing shape of the dam.

Notizen: Book reviews in this article:A LAND SYSTEM ATLAS OF WESTERN KENYA. By R. M. Scott, R. Webster and C. J. Lawrance.THE OVERHAUL OF THE 1 : 2500 COUNTY SERIES OF MAPS. Ordnance Survey Professional Paper No. 25, Ordnance Survey of Great Britain, Southampton.TERRAIN ANALYSIS: A GUIDE TO SITE SELECTION USING AERIAL PHOTOGRAPHIC INTERPRETATION. By D. S. Way.PROCEEDINGS OF MAN-MACHINE INTERFACE IN PHOTOGRAM-METRY. Edited by E. Dorrer.ELEMENTARY AIR SURVEY. By W. K. Kilford.CARTOGRAPHIE GÉNÉRALE. Tome II: Méthodes et techniques de production. By R. Cuenin.INTERNATIONAL YEARBOOK OF CARTOGRAPHY (Vol. XII, 1972). Edited by E. Arnberger and F. AuradaRESOURCE SATELLITES AND REMOTE AIRBORNE SENSING FOR CANADA. Proceedings of the First Canadian Symposium on Remote Sensing, Ottawa, February 1972. Edited by D. White.LIBYA: AGRICULTURE AND ECONOMIC DEVELOPMENT. Edited by J. A. Allan, K. S. McLachlan and E. T. Penrose.ÉTUDE EXPÉRIMENTALE DE ĽAÉROTRIANGULATION SEMI-ANALYTIQUE. RAPPORT SUR ĽESSAI “GRAMASTETTEN”. Publication Officielle No. 7 de ľOrganisation Européenne ďÉtudes Photo-grammétriques Expérimentales. By P. Wiser.COORDINATE SYSTEMS AND MAP PROJECTIONS. By D. H. Maling.

Notizen: Several problems are encountered when collecting traffic information by conventional methods and which leave scope for the development of more comprehensive techniques. This paper reviews the potential of different types of photography as an effective means of obtaining comprehensive traffic information. Comparisons between conventional methods and photographic methods are made. The different types of available photography are discussed, together with their uses in the field of traffic data acquisition. Finally, the paper assesses the use of automatic and semiautomatic methods of photographic data analysis in this context.

Notizen: Book reviews in this article:PHOTOGRAMMETRIC GUIDE. By J. Albertz and W. Kreiling.THE READJUSTMENT OF THE RETRIANGULATION OF GREAT BRITAIN, AND ITS RELATIONSHIP TO THE EUROPEAN TERRESTRIAL AND SATELLITE NETWORKS. By V. Ashkenazi, P. A. Cross, M. J. K. Davies and D. W. Proctor.GUIDE TO SITE SURVEYING. Edited by R. Hewitt.PHOTOGRAMMÉTRIE GÉNÉRALE. By H. Bonneval.

Notizen: The authors describe the photogrammetric procedures involved in the production of 1 : 50 000 scale mapping within the Directorate of Overseas Surveys, making specific reference to a project in Ethiopia.

Notizen: The paper reviews the status of the optical transfer function (OTF) as a potential standard method for measuring the definition of photogrammetric camera lenses. The nature of the OTF and its relation to resolving power are explained. The limited success in obtaining agreement in international comparisons of OTF measurement and the programme of the Scientific Instrument Research Association group research project on the O TFare summarised. Some of the difficulties envisaged in applying the OTF as an ISP standard are discussed.

Notizen: Orthophotomaps at 1 : 2500 scale, contoured at 1 m vertical intervals, have been produced for an area of 52 km2 from 1 : 10 000 scale photography especially flown for the project. Planimetric and height information on published Ordnance Survey 1 : 2500 scale maps was used as control for the aerial triangulation on which the orthophotomapping was based.

Notizen: The paper describes a method for the automatic determination of height profiles in the stereomodel. The model is scanned automatically in epipolar planes. The photographic densities are recorded. The density values are correlated, either on or off line, to obtain the height profiles. The method was developed for the analytical plotter but can be applied to other photogrammetric instruments.

Notizen: Experiments are described which compare point transfer from one photograph to another by stereoscopic and non-stereoscopic procedures. It is shown that, whereas it may be possible to achieve very high accuracies by both methods, the former method is more dependent for its accuracy on a high observer skill and is also more prone to occasional mistakes in identification.

Notizen: Methods and results of practical applications of block adjustment by independent model cadastral surveys are described. The wider implications of the results are assessed in conjunction with current research trends in the adjustment of extremely large blocks for small scale mapping and in the use of the bundle adjustment method.

Notizen: Digitising from a photogrammetric instrument can be controlled by a unit specially designed for this purpose, or by a digital control computer. In the latter case, the digitising system is more flexible since alterations and additions to the real-time programs can easily be made to effect different digitising applications. The control computer can also be used in processing the digitised data.The use of such digital control in photogrammetry is as yet limited. The reasons are examined. The characteristics and real-time requirements of a computer controlled digitising system are stated. Different digitising and recording modes, identification numbers and editing arrangements are then given to illustrate the flexibility and limitations of such a system.

Notizen: The paper describes an experiment using three different methods for the production of control for topographic mapping from super-wide angle photography. The result showed that aerial triangulation by independent models observed on a Wild A9 would show economic advantages in cartographic effort required, control requirements, and accuracy attained in contouring. The experiment also indicated that great benefit in heighting accuracy is derived from the addition of tie strips flown at right angles to the main photographic cover at a suitable interval and that heights supplied by airborne profile recorder are not sufficiently accurate to be economically advantageous where close interval contours are a requirement.

Notizen: The colour photograph requirements of the photogrammetrist and the photo-interpreter are not always compatible. The author puts forward suggestions for improving the quality and reducing the cost of photography for interpretation purposes, based on the use of 70 mm film cameras. He found supporting evidence for this point of view during his visit to the United States as the result of the award of a Winston Churchill Fellowship in 1969.

Notizen: Book reviews in this article:INTRODUCTION TO THE ALGEBRA OF MATRICES WITH SOME APPLICATIONS. By E. H. Thompson.BIBLIOGRAPHIE DES SCHRIFTTUMS AUF DEM GEBIET DER FORSTLICHEN LUFTBILDAUSWERTUNG 1887–1968. By G. Hildebrandt.INFRARED SYSTEM ENGINEERING. By R. D. Hudson.ELEMENTARY SURVEYING. By R. C. Brinker.REFERENCE GUIDE OUTLINE: SPECIFICATIONS FOR AERIAL SURVEYS AND MAPPING BY PHOTOGRAMMETRIC METHODS FOR HIGHWAYS.INTERNATIONAL YEARBOOK OF CARTOGRAPHY (VOL. VIII, 1968). Editor K. Frenzel.MODERN MAPS AND ATLASES. By C. B. M. LOCK.USE OF STRIPS CONNECTED TO BLOCKS FOR LARGE SCALE MAPPING. Results of Experimental Research Organized by Commission B of the O.E.E.P.E. from 1959 to 1966. By M. Cunietti.PRINCIPLES OF HOLOGRAPHY. By H. M. Smith.LA PHOTOGRAMMÉTRIE DES PLANS TOPOGRAPHIQUES ET PARCEL-LAIRES. By B. DUBUISSON.

Notizen: This study develops a microanalytic simulation model to examine the effects of macroeconomic fluctuations on the distribution on the distribution of income. A representational sample of the population of the United States is linked with equations determining the variability of various types of factor income. Each family's income experience is simulated under alternative aggregate conditions, and the income distributions arising under these conditions are compared. The main results are similar for alternative specifications of the model. The incidence of a downturn in economic activity, whether accompanied by changes in the rate of inflation or not, and measured in terms of the loss of factor income, leaves the upper middle class relatively better off than before and leaves most others relatively worse off. The very rich bear the heaviest burden.

Notizen: In the latest official national income publication the Australian Commonwealth Statistician has altered the treatment of stock appreciation in the measurement of national income at current prices. Previously, stock appreciation had been included in both national expenditure and national product. Now the amount of stock appreciation (the difference between the change in the value of stocks and the value of the change in stocks) has been deducted from investment in stocks, and consequently national expenditure, and from trading incomes, and consequently national income. The former procedure (including stock appreciation in national expenditure and national product) had been advocated by the present author, when editor of the first official national income publications issued by the Commonwealth Statistician. In this note an attempt is made to set out the reasons for this view. A new approach is also suggested for handling the item of stock appreciation in national income accounts, which does not rest on the assumption that stock appreciation is a capital gain which should be excluded from trading incomes and national product.

Notizen: This paper entails an investigation of the effects of data revisions on forecasting accuracy, through use of preliminary and revised national accounting data compiled by the United Nations. A small model was estimated for each of fourteen countries and ex post“forecasts” generated for each country and each year of the period 1957–1964, using first preliminary and then revised data.A prior analysis of the data revisions indicated a strong and widespread tendency for the preliminary estimates to understate both levels and year-to-year changes. This is consistent with the findings of other studies.Two sets of forecasts obtained from the reduced form of the model were considered in relation to “actual” levels and changes, obtained from the revised data, and also in relation to each other. A strong downward bias was observed in the forecasts of levels based on preliminary data, and a weaker one in the forecasts of changes. The forecast discrepancies for different variables were found to be significantly correlated.The results suggest that a tendency toward understatement in preliminary data may account in part for the general tendency toward understatement in forecasts noted in other studies.

Notizen: Part I: Availability and meaning of East European distributional statistics are discussed. Part II: Measures of inequality to be used in this study are examined: the Gini coefficient of concentration, though superior to some other single indicators, is found to be an unreliable comparative measure of inequality, and is therefore supplemented by a set of ratios of selected percentiles to the median. Part III: Inequality of full-time gross monthly earnings is measured for (almost) the whole civilian working population and for some subpopulations (selected industries, men, women) in Czechoslovakia and Yugoslavia through 1970, in Hungary through 1968: the observed inequality appears to be less than in small capitalist countries, in spite of the reversal of the socialist egalitarian trend in the 'sixties. The main factor of equalization of socialist earnings are small interoccupational and interregional differentials and a very flat age profile. Part IV: The socio-economic structure of households, the size of samples underlying the distributional statistics, and the composition of household “revenues” (wage and salary earnings, agricultural incomes, social security payments, relatively unimportant property incomes, as well as non-income cash flows) are examined. Inequality coefficients are estimated for per capita revenues of all households as well as subpopulations of households in Czechoslovakia and Hungary, and some information is given on the distribution of household incomes in Yugoslavia. Part V: Limits of desirable equalization of earnings are discussed. With very narrowly dispersed short-term earnings, lifetime earnings tend to be rather unequally distributed because of the variation of earning years among occupations. With largely equalized primary incomes, per capita household incomes tend to be more unequally distributed, in spite of massive transfers, because of the varying ratio of earners to dependents within households. The need of income differentials as incentives to work, the probable trade-off between income equality and economic growth, and socialist distributive principles are outlined.

Notizen: In this paper we discuss a few of the problems that have been encountered in defining output and in comparing prices for the International Comparison Project (ICP). We report also on the way in which these problems are being met.The ICP has for its purpose the establishment of a systematic set of procedures for making international comparisons of gross domestic product (GDP) and of the purchasing power of currencies. Substantive work on comparisons involving Colombia, the European Economic Community (EEC), Hungary, India, Japan, Kenya, the United Kingdom and the United States is also being carried on with the aid of the statistical services of the countries and of the EEC. It is hoped to expand the comparisons beyond these countries as rapidly as possible.

Notizen: This paper discusses a number of problems arising in comparisons of levels of national accounting aggregates between countries with different economic systems, notably between countries with market economies and countries with centrally planned economies. It considers problems arising from differences in the national accounting concepts used and problems arising from institutional differences, both of which are viewed as relating to the concepts on which the comparison should be based and the adjustment of national data to these concepts. The final section considers index number problems.

Notizen: There is some advantage in comparing price levels using consistent methods because this gives unique results. This paper examines some available methods of consistent comparison, pointing out difficulties associated with heterogeneous data, and suggesting adaptations yielding better comparisons. Next, the problem of non-availability of price and quantity decomposition is considered. Another problem relating to non-identical lists of commodities and quality differences is tackled by using linear programming instead of regression methodology, both methods using some transformed variables. The procedure suggested is likely eventually to be useful for comparison of dissimilar countries. Computations on some Indian population groups illustrate the findings.

Notizen: The article reviews the methods used in practice and/or proposed by various authors for compiling indices in multilateral international comparisons. The various procedures are examined in the light of the following requirements: characteristicity (i.e. the weights should be characteristic to the countries which are compared), unbiasedness, circularity, internal consistency and factor relations.There is no perfect solution since characteristicity and circularity are always and unbiasedness and internal consistency often in conflict with each other. The indices which are best for bilateral purposes are not transitive and the basic problem of multilateral comparisons is to obtain circularity, without losing too much of the characteristicity of the bilateral comparisons. Different compromises between the two requirements are possible and this is first of all what distinguishes the various methods used in practice.Two main types of solution are applied in the various international comparisons. The first is based on the inter-spatial Fisher's ideal formula (e.g. the Eltetö–Köves–Szulc method, the van Yzeren method, the “central country” solution); the second type uses some kind of average prices (e.g. the Geary–Khamis method).In the author's view there is no best method in absolute terms. Every method has some weaknesses and which of these weaknesses is the easiest to accept depends to a large extent on the actual aims of the comparison and on various other circumstances.

Notizen: This paper introduces two special issues of the Review devoted to income distribution theory and its empirical implementation. Most of the papers that will appear in these two issues were prepared for a special session on income distribution held during the Eleventh General Conference of the International Association for Research in Income and Wealth, held at Nathanya, Israel, in August 1969. The present issue contains theoretical papers; the following one will present more empirical work. This introductory paper is intended to indicate the relationships among the papers that follow, and to suggest possible future directions for work in this area. In the latter connection, the author discusses the use of microanalytic models applied to microdata sets dealing with individuals and households.

Notizen: A positive theory of income distribution based on assumptions concerning the supply of and demand for each type of productive service is presented. The demand function of the organizers of production may be derived from the maximization of profits with the income scale and the production function as restrictions. A normative theory based on the maximization of a social utility or welfare function is also considered. In the normative theory, production functions and balance equations (some representing compartmentalization of factor markets) are introduced as restrictions and again an income scale results, this time maximizing social welfare. Empirical testing is also considered. The positive theory was developed in part to take into consideration the fact that personal income distributions can reasonably well be described by log normal distributions, and that skill parameters are often normally distributed. Limited testing of the influence of wealth, intelligence, education, and sex suggest that these account for only a small part of the variance in the income distribution. This suggests the need for further research.

Notizen: This paper attempts to estimate genuine scale effects in retail trade from a cross section of retail stores in Israel. This is done by estimating a simple production function for several retail branches and employing the faithful old direct Cobb-Douglas structure with value added as output and labor and capital inputs. And indeed despite the well-known peculiarities of the retail industry, a cross section estimation produces “normal” production-function estimates with reasonable input elasticities. The estimates also identify marked increasing returns-to-scale parameters, higher in food and lower in branches less affected by consumer participation and geographical dispersion. These increasing returns may explain a good part of the increase in sales per unit of inputs observed in time series.

Notizen: This article consists of a description and critical analysis of two important works on national accounting which have appeared fairly recently—see footnotes 1 and 2. There are fundamental differences between the systems of accounts proposed in these two works, the author tending to prefer the Ruggles system. While full of admiration for the thoroughness and other qualities of the new SNA, the author finds the system it proposes over-elaborate as a programme for national statistical offices. In his view decision as to which is the “best” system is still wide open, despite the acceptance of the new SNA by the UN Statistical Commission. In the article there is bare mention of a new (1972) book Economic Accounts and Their Uses by J. W. Kendrick which the author has since read. All three works help in determining the best practical system of accounts. It is hoped that this article (in its small way) will also make a contributionThe subject of national accounts at constant prices is not dealt with at all in any of the three works despite the fact that it has received considerable attention at various meetings of IARIW. Accounts at constant prices and their concomitant price indexes are more important in these days of the curse of inflation than are accounts at current prices. Of course the new SNA deals with items at constant prices but the author finds the treatment rather inadequate.It is satisfactory that the new SNA provides for input-output but the author agrees with the Ruggles view that the textual treatment in SNA is somewhat incomplete.The article gives the author's views on many other topics relevent to national accounting (which encompass all economic statistics!) including price index number making, inaccuracies in data, delays in availability of so-called “current” statistics, and treatment of financial intermediaries.

Notizen: This paper suggests a modification of the Becker–Chiswick model for analyzing investment in human capital where the capital market is imperfect. The modification essentially involves the addition of a consumption function to the model. As a result it is possible to include the effects of human capital investment on a student's income expectations, on consumption, and thereby on the availability of funds for the student to finance investment in human capital.

Notizen: The objective of this paper is to present income and expenditure accounts, accumulation accounts, and the asset side of the wealth accounts for the U.S. private national economy in current and constant prices. These accounts are integrated with the production and factor outlay accounts for the U.S. private domestic economy in current and constant prices given in our earlier papers. Taken together, these accounts constitute a complete accounting system in current and constant prices for the private sector of the U.S. economy.Our complete accounting system incorporates a new concept of the standard of living, defined as the ratio of the quantity index of gross private national expenditures to the quantity index of gross private national consumer receipts. Our concept of the standard of living is similar but not identical to our concept of total factor productivity. Changes in the private standard of living reflect both changes in total factor productivity and changes in the proportion of the total product consumed in the public sector.

Notizen: The results reported in the Searle report have stimulated me to carry out an extensive study of unit value indices, based on a much more extensive body of data and much improved procedures as compared to the preliminary evidence contained in my “Measurement Bias in Price Indices for Capital Goods,” published in this journal in June, 1971. Once again, the new study confirms the hypothesis that transaction prices of capital goods exhibit procyclical fluctuations relative to list prices. Machinery prices appear to have been considerably more flexible downward during the period of weak investment demand between 1957 and 1963 than indicated by the Wholesale Price Index (WPI), and more flexible upward during the subsequent expansion during 1963–1969. This brief paper is a summary of the study. A complete and detailed report or results is contained in my forthcoming monograph, Measurement of Durable Goods Prices, to be published by the National Bureau of Economic Research.

Notizen: Professor Moser regards the purpose of social indicators as being to aid the policy maker by summarizing the state and changing conditions of society, pinpointing the outstanding existing and emerging social problems and monitoring the effects of social policies and programmes. Thus social indicators will frequently, though not necessarily, be normative and they will often, though again not necessarily, be concerned with outputs rather than inputs. Although many writers regard social indicators as being combinations of series, the problems of construction are substantial. Central to the idea of a social indicator, however, is that it should represent or summarize a broader concept than itself and that it should belong to a structure or system of series. Although there are no social theories about society in general on which a structure of indicators can at present be based there are a number of middle range theories relating to specific fields or sectors, such as occupational mobility, education, migration, mental health, etc., around which quantitative relationships and models can gradually be be built to give insight into social changes and perhaps eventually into the manipulation of policy instruments for the improvement of social conditions.

Notizen: In a statistical file system, data collected from different sources and at different dates are stored at an individual unit level. Thus, they may be linked and used for the preparation of statistics and for analytical purposes as the need arises. The statistical file system will provide a much improved data basis for empirical research in the social services including demography, economics, economic geography, sociology, education, labour, social medicine, criminology and social psychology.

Notizen: Serious doubts have been raised as to the validity of using cross-sectional estimates of the average propensity to consume over time. These d⊙ubts are based on empirical evidence for the United States presented by Kuznets and Goldsmith. This paper extends these considerations to developing countries by looking at the evidence for India. Simple statistical techniques, including ordinary least squares regression, Chow tests, and t-tests, are used in the estimation of the consumption functions and the formulation of hypotheses. Both India and the U.S. are seen to exhibit the same characteristic secular constancy in the average propensity to consume. For India the average propensity to consume is about 0.95 and is maintained in the face of no substantial secular increases in per capita income during the period under study (1919–1960).The same inconsistencies between time series and cross-section evidence on the average propensity to consume are found to exist for India. The permanent income theory suggested only a partial explanation of these inconsistencies and the reconciliation was achieved by a Duesenberry type explanation based on evidence for a shifting cross section consumption function over time. The date was provided by a set of Family Living Surveys for Industrial Workers: 1926, 1933–1935, 1950–1952, 1958–1959.Finally it was noted that the cross-section consumption function in India had shifted both upwards and downwards over the period under study, in contrast to the strict upward shift for the U.S. In an economy such as India's, where secular growth is by no means assured, it is not always likely that consumers can avoid lowering previously achieved consumption standards in the face of cyclical economic conditions.

Notizen: The paper relates the Swedish discussion and criticism of national accounting statistics, especially GNP, as a measure of welfare. It describes some results of recent Swedish attempts to find practicable measures of welfare components, i.e. the investigations of the Low Income Commission and of the Expert Group on Regional Development Research. In both cases the regional aspects of welfare are emphasized in the paper.The results are presented as a sign of important needs for new methods and new systems of concepts in measuring welfare. The Expert Group has for instance in different ways tried to map and compare the “service structure” of separate parts of Sweden. The Low Income Commission has principally studied the position in Swedish society of low income recipients and has not been working particularly on the illumination of regional differences, but since different types of region are included as a background variable, the investigations also give certain measures of the regional aspects of welfare.In the last part of the paper some of the risks that seem to be difficult to avoid in trying to use welfare measurements are pointed out.

Notizen: This paper reports on a study designed to improve the information on income flows and income distribution in the Netherlands national accounts by building a bridge between the national accounts and income tax statistics. The methods used are described in some detail, and the significance of the results obtained is discussed. The figures show rather substantial fluctuations in the share of proprietors relative to that of wage earners. This result is not unexpected, since the share of proprietors is much more sensitive to the level of economic activity, but it does limit the usefulness of the figures for short-run economic policy determination. In the longer run, however, they do show what the development of the average incomes of the various social groups has been, and to what extent government action has contributed to that development.

Notizen: Has economic growth in developing countries led to increasing inequality in the size distribution of income? Following a brief review of the advantages and deficiencies of several traditional measures of income distribution, the author examines the evidence from Puerto Rico, Argentina, and Mexico in recent years. The findings suggest that the income shares received by the lower half and by the top 5 per cent of families in Puerto Rico and Mexico have declined from 1950 to 1963, while the income shares received by the bottom nine deciles of families in Argentina have also fallen during the same period. The rising Gini ratio and standard deviation of the logs of income, both indicating greater inequality, contrast with a declining coefficient of variation for all three countries.More detailed sectoral distributions for each year reveal greater equality within agriculture than non-agriculture for Puerto Rico and Mexico, while Argentina and the United States demonstrate less equality within agriculture. The trends in the countrywide distributions are consistent with the observation of the increasing differential between sectors, the increasing weight of the more unequal sector, and the increasing level of inequality within both sectors. These trends, however, are qualified by the particular set of measures which are applied to the data. Finally, the author speculates on possible explainations for these trends in terms of changes in the crop and industry mix.

Notizen: The paper is concerned with a method of organizing and analyzing information relating to human stocks and flows. The kind of statistical reporting system envisaged is of a traditional kind, but extended so as to record year-to-year changes of state. Life is divided into a number of sequences, each with its own set of characteristic classifications, to avoid an excessive proliferation of categories and so enable many analyses to be made with the kind of statistics already avilable in a number of countries. The need, for some analytical purposes, to combine classifications from different sequences is fully recognized; and this need indicates a direction in which statistical reporting systems should move in the future.The main analytical tool is a set of linear difference equations which, under suitable conditions, can be interpreted either in terms of an input-output system, as in economics, or in terms of an absorbing Markov chain, as in probability theory. A simple regression model is used to link characteristic classifications.About half the paper is taken up with numerical examples, mainly connected with the British educational system as it was in the mid-1960's. An application is also given to movements into, through and out of a psychiatric service system in Scotland.

Notizen: This paper is directed at the following question: given an incomplete set of price data relating to goods or services in some category of output for each of a number of different countries, what arithmetic should be performed on the prices to get a meaningful representation of the relative category price-levels of the countries? In the course of developing an answer to the question, some broader matters are considered and illuminated. A comparison of category price-levels for different countries is analogous to a commonly-encountered problem in many areas, that of ranking ordinally or cardinally in one dimension a group of “entities”—persons, households, firms, industries, etc.—on the basis of sets of measurements associated with the individual entities. It is this point of view which dominates the following presentation.

Notizen: In order to obtain the information needed to include Kenya in an international comparison of income and purchasing power, it was necessary to collect some data to supplement the regularly collected statistics. Special collection was particularly important for capital goods prices and rural consumer goods prices. The remainder of the work involved using unpublished data available from the Kenyan Statistical Division, either to obtain additional detail required by the comparison, or to maintain international consistency in concept and estimating procedures.

Notizen: The paper begins with a discussion of the concepts used and the scope of their application. Then the purchasing power parity rates for LAFTA countries in 1968 are presented and analyzed. With the aid of such rates the real gross domestic products of these countries in 1968 are estimated. Among other conclusions, it is found that these differ quite importantly from GDP calculations using foreign exchange rates, even within the LAFTA area. Finally, the levels of consumer prices in the region in 1968 are compared, and these are contrasted with the results of a similar survey undertaken in 1960.

Notizen: Several recent studies of short-cut estimates comparing real income (on a purchasing power basis) of countries are reviewed, including methods comparing real income based on indicators, like electricity consumption. New estimates are presented for 101 countries which had a tradition of conventional national income estimates in 1965, and for 40 countries without extended national income series. One conclusion from the empircial analysis was that until there exist a large number of countries for which purchasing power estimates of real income are available, it is difficult to discriminate between alternative short-cut methods using indicators, and difficult to estimate real per capita incomes of low income countries without substantial errors of estimate. The paper advocates more purchasing power estimates, and institutionalizing the collection of international prices of specified items so that abbreviated market baskets can be readily compared across countries.

Notizen: This paper considers the adequacy of unit value indexes as proxies for industrial selling price indexes in Canada, in light of the considerations raised in the Searle report for the United States (summarized elsewhere in this issue). Some 3,237 regressions are run using the industrial selling price index for a commodity group as the dependent variable and the corresponding unit value index as the independent variable. The unit value indexes perform poorly as predictors of the I.S.P.I.; the overall tendency is for the unit value index to overestimate changes in the I.S.P.I.; and to explain on average only about 30 percent of the total variance of the I.S.P.I.

Notizen: The current practice in national accounting is to exclude from national product investment in schooling and on-the-job training, except for direct costs of schooling which are included in consumption. Foregone earnings, which form the major part of investment in human capital, go unrecorded.Much is to be gained in consistency and analytical clarity by treating human capital like physical capital in national accounting. Estimating the amount of foregone earnings net of deterioration, that is, net investment, is a step in this direction.Using the framework of the life-cycle hypothesis of earnings, and assuming declining-balance deterioration of human capital, estimates of deterioration rates in respect of American males by race and education level are computed for 1960. Every such d is, however, the minimum consistent with the respective costs and benefits profile. Hence an upper limit d is assumed. The model generates for each costs and benefits profile and in respect of either d, a year-by-year series of net investment in human capital. These are used to obtain two estimates (which turn out to be close to each other) of aggregate net investment in American white males in 1960. On the basis of these estimates, aggregate net investment in human capital is found to be about equal to net investment in physical assets (including consumers’durables).It is also found that the Denison method of estimating the contribution of the increase in human capital to economic growth understates this contribution by a ratio approximately equal to net investment in on-the-job training to returns to human capital. This was about 16 percent in 1960.

Notizen: Since Dr. Bartsch has gone only partially into the history of the United Nations definition of employment and unemployment, let me pursue it a bit further. To begin, the ILO is a Member Agency of the UN and thus automatically subsumed under the latter. I am fully aware that the ILO segment of the UN was given the area of labor statistics as its domain, and hence draws up official definitions, etc. (Except for the industrial composition classification of the economically active, which area was assigned to the UN Statistical Office.)

Notizen: This article presents the results of a study of distributions of wage rates in approximately 250 trades, comprising 225,000 workers, in Copenhagen in the second quarter of 1951. It examines particularly the effects of heterogeneity within trades and aggregation upon the resulting distributions, both for individual trades and for all trades combined. Separate distributions are studied for men and women, for skilled and unskilled, and for three types of institutional wage payment systems.

Notizen: This paper, the first of a two-part series, surveys the literature in the field of income and wage distributions. The author divides work in this area into two schools: the theoretic-statistical school, and the socio-logical school. Within each of these groups he reviews leading contributions. He then examines the work of Tinbergen, which, the author feels, fits into neither of the older classifications; rather, Tinbergen approaches the distribution of income as a problem in analyzing the supply of and demand for various attributes, such as intelligence, physical strength, ability to get along with people, etc. In conclusion, the author points out areas which he feels need further work. The paper is based upon the author's book in Danish, Indkomst-og lonfordelinger.

Notizen: Capital gains are an important source of personal income in the United States but they are not included in the national accounts or the official estimate of personal income and saving. Individuals report their realized gains for tax purposes but the economic theorist would include both realized and accrued gains in income. National income theorists continue to debate whether capital gains should be included in income but, because of the many conceptual and statistical problems involved in estimating capital gains, no satisfactory estimates have been developed. Consequently, the debate has stayed mainly at the theoretical level. This paper deals with the methodology of estimating accrued capital gains. A simple analytical model is developed to estimate capital gains from data on market value and net acquisitions of an asset but the model can be adapted to incorporate asset prices directly. It is shown that the methods used for estimating accrued gains in the past are special cases of the model proposed in the paper. The model is then used for estimating gains accruing to individuals in the United States on their holdings of corporate stock, real estate and livestock during 1948–1964.During this period accrued gains have amounted to roughly five times the realized gains reported for tax purposes; corporate stock and real estate are the most important sources of capital gains and corporate stock accounts for almost two-thirds of all accrued gains. The paper goes on to examine the implications of these estimates for the existing series on personal income and saving in the United States. The inclusion of accrued gains would increase the variance in the official estimates but personal saving is affected more than personal income. The paper concludes with an evaluation of these results and some suggestions for further research.

Notizen: In both political discussions and scientific literature the income distribution has come to occupy a central position for the consideration of social welfare and economic equalization. It has been assumed that an individual's income reflects his consumption opportunities and therefore his standard of living or economic welfare. The thesis of this paper is, however, that there are reasons for being quite pessimistic about drawing meaningful conclusions from income distribution data. As illustrated by the use of Swedish data, the distribution of income gives an extremely incomplete picture of the distribution of consumption for a wide variety of definitional and statistical reasons. The distribution of consumption, furthermore, cannot be transformed into a corresponding distribution of welfare, since there is no well defined concept of welfare. The treatment of public consumption in empirical analysis of the distribution of welfare also raises problems. The paper closes with the presentation of the conceptual basis for an alternative to the traditional method of analyzing the distribution of income.

Notizen: There are serious questions about the social costs and benefits of extending the role of prices in the national accounts. The costs may be greater, and the benefits smaller, than is commonly supposed. Many important uses of price (and other) data do not require that these data be organized within an elaborate—or even any—framework of national accounts. Also, the basic price (and other) data are still too often very scanty and rough. Would it not be better to devote available resources to improving these data rather than trying to force them, prematurely, into an elaborated set of national accounts?

Notizen: “The whole question of making inter-spatial comparisons between countries is a most complicated and hazardous business” (Mr. Campion); international comparisons of a particular value aggregate between countries present a difficult problem connected with the conversion of national value aggregates into a comparable magnitude. This paper presents an alternative approach in that an internationally comparable value aggregate for each country is prepared by the international average prices of commodities which are determined simultaneously with the partial exchange rates of national currencies to a standard currency. The calculated partial exchange rates are so defined as to reflect the purchasing power of national currencies in respect of the group of commodities selected. Consequently, the resulting value aggregate for international comparison has a quantity dimension, eliminating the effect due to the different purchasing power of national currencies in which original prices are quoted. The other methods of international comparison so far being used by other research workers, such as C. Clerk and M. Gilbert and his associates, are examined in the light of the properties of the present method and the crucial differences are delineated. Using the method proposed, an international comparison is made of the aggregate value of agricultural products for 11 selected countries in the world, with sub-divisions into two regions.

Notizen: The objective of this paper is to provide a conceptual basis for separating social product and social factor input accounts into price and quantity components. Despite the essential similarity between concepts of real product and real factor input, the measurement of social factor outlay in constant prices is not well established in social accounting practice.Production accounts are constructed for the United States in current and constant prices, including social product and social factor outlay, for the period 1929–1967. The resulting estimates are applied to the measurement of total factor productivity and the study of the responsiveness of product and factor intensities to price changes.

Notizen: Macroeconomic productivity in Israel is here conceived as comparison of output with factor inputs during given periods, and as creation of sustained capacity out of given resource increments. However, present social accounting practice prevents full implementation of this second approach.In contrast to nine European countries, only one third of the rapid growth rate of Israel in 1950–1965 is “explained” by the “Residual” because of relatively large infrastructural investments and of growth problems. One of these problems is inflationary pressures which caused productivity increases to restrain the rise of product prices by 30 per cent only below the rise of input prices. The real productivity gain accrued, in Israel and in the U.S.A. (1919–1957), nearly fully to labor because unit returns to capital remained constant whereas those to labor sharply rose.Some refinements of the statistical models are attempted by incorporating the utilization rates of labor and capital (for industry); and by measuring product from the uses, instead of from the income, side, adding the differences to the capital shares. This makes distributive factor shares nearly constant as postulated by Cobb-Douglas.In order to get a basis for appraising efficiency in creating long-term capacity, that part of product increments is measured which represents rises of p.c. final domestic uses and changes in the export surplus. This “net margin” formed in Israel one fifth and in the U.S.A. (1889–1913) much less of incremental product. Though in Israel one quarter, and in the U.S.A. over half (in 1919–1953) of the net margin went into sonsumption, large proportions of it presumably actually created human capacity. A comparison of product growth rates with population growth, and of the breakdown of the resulting p.c. product growth rates into full final uses, for Israel and two groups, of developed and less developed countries in the fifties shows, inter-alia, that in the L.D.C. only small proportions of their presumable capacity creation was financed by net capital inflows, thus imposing upon them domestic saving rates which presumably are too high to be sustainable.

Notizen: There are both major philosophical and major econometric questions to be faced in the measurement of inequality of income. The scaling of different sizes and types of families can never be unique and may be a function of real income. However, even subjective guesses may be better than doing nothing. Demographic changes, such as the increase in pensioners with the increase in life expectancy, affects the distribution of income, and it seems desirable to estimate the separate effect of their influence. The extent to which the inequality of incomes is reduced by all taxes and benefits combined has remained remarkably constant in the U.K. over the period for which estimates have been made (1937–1967). The progressive effect of all taxes and benefits combined is largely the result of benefits (in cash and kind). The stability in the degree of inequality of original income is much more difficult to explain. A number of factors which reduce or increase inequality can be identified for further analysis.

Notizen: In the introduction of the paper, Economic Accounts are defined as a set of statistics useful in economic analysis and region is defined as a province. The paper is divided into four sections the first of which contains a brief historical outline of the development of demands for provincial economic accounts and the Dominion Bureau of Statistics' response to these needs. Apart from a description of the more well-known conceptual difficulties, some of the fundamental problems of the usefulness and applicability of a national accounting framework to the regional scene are discussed. The resource problems of constructing analytically meaningful and reliable as well as spatially reconcilable regional accounts are described.Section II outlines the impact of present policies and problems on the development of regional statistics. It describes the reasons for the Bureau's desire to strengthen its data base in regional terms and the decision to await possible construction of regional accounts till the regional data base has been fleshed out in a more systematic manner. With the development of the latter, the ability, advantages and disadvantages of the provinces undertaking their own estimates must also be more fully explored. The third part of the paper deals with an over-view of work in Canada on provincial accounts carried out by organizations other than the Dominion Bureau of Statistics. Section IV gives a very summary description of the data gaps which exist in presently available regional statistics.

Notizen: PRIM I is a numerical model which has been extensively used as a basis for an income policy in Norway in recent years. It is a static, cost-push, input-output model. Wage rates, agricultural prices, productivities and world market prices are treated as exogenous variables, and the model derives short-term changes in income shares and in the national price level from changes in these exogenous variables. A key feature of the model is a distinction between “exposed industries” which are subject to strong foreign price competition, and “sheltered industries” which are relatively free of such competition. These two groups of industries are found to react with very different pricing policies in response to increases in costs; furthermore, possibly for technological reasons, the export industries have greater scope than the majority of the sheltered industries for compensating cost increases through productivity gains. These two facts are shown to have important implications for a price and income policy. It is demonstrated, i.a. that the goal of a stable national price level is, in general, inconsistent with the maintenance of stable income shares when exchange rates are kept constant.

Notizen: In a recent issue of the Review of Income and Wealth[1], Uma Datta Roy Choudhury presented some results on consumption and saving functions in India. While the study is interesting, some of the results are quite peculiar. Thus she reports a marginal propensity to save of 0.88 for the urban sector, an abnormally high figure. Other available evidence points to a much lower figure. Again she reports a negative marginal propensity to consume out of permanent income for urban households. This makes no economic sense. Furthermore her attempts at explaining urban consumption behaviour are not very successful. In this paper, we shall show that these suspicious results are the consequences of the measurement and definitions of the variables, and the specification of the functions. Once these shortcomings are removed, we obtain more satisfactory and more plausible results.In the first section we present a critique of Mrs. Roy Choudhury's article. In the second section we present our results. The last section summarizes the conclusions.

Notizen: This paper compares the income distribution of Canada and the United States as well as other characteristics of the population such as the labour force and income trends in the two countries in the post-war years. In both countries family income distributions show similar degrees of inequality and similar movements in real incomes through time. However, an examination of Canadian data suggests that differences do exist in underlying patterns. For example, there are greater earnings differentials between skilled and unskilled workers in Canada than in the United States while on the other hand in the United States greater differences exist between family incomes with heads in different age groups than is the case in Canada.

Notizen: The income distribution statistics which are based on income for a single year show a far larger inequality of income than actually exists. The distribution of annual incomes differs from the distribution of lifetime income partly because of short run fluctuations because of such things as sickness, unemployment, and unusual gains, and partly because different individuals are at different points in their life cycles. The vertical distribution of income can be considered to be the distribution of lifetime income. The horizontal distribution can be considered to be the differences arising in the current period due to short run fluctuations and differences in the age-income cycle of persons. The observed annual income distribution statistics are a mixture of the vertical and horizontal distributions. The estimation of the lifetime income distribution implies discounting, and also raises questions as to the treatment of transfers, subsidies, public investments and taxes. However, statistics based upon a mixture of the horizontal and vertical distributions of income are of no interest.

Notizen: In both developed and developing countries, the national accounting statistician who wishes to establish a composite set of values in current and base year prices is faced with a series of difficulties arising from a lack of indicators which are adequate for relating quantities and values within the national accounting framework. Consequently, ad hoc solutions are extensively adopted and use is made of price data which in the majority of cases have been collected for completely different purposes. The inter-relationship of prices, quantities and values fundamental to the compatibility of the national accounts can therefore be, and often is, a rather tenuous one. In the case of many developing countries, the situation is accentuated by a very volatile behaviour of prices, a greater impact of price change and a much greater scarcity of useable statistical material. In addition, since structural change is frequently implicit in a development process, the pattern of values and of prices is often variable and irregular—this in turn creates problems in determining relative importance, in assigning weights and in imputing for prices of items not directly entering into the calculation of the indicators.This paper analyses the series which are most commonly available, it points out the major deficiencies or limitations and it attempts to formulate a few guide-lines for determining priorities called for in an integrated network of price statistics.

Notizen: The paper discusses the role of prices in the framework of the new System of National Accounts (SNA) in terms of three major uses: (1) deflation, (2) price indicators, and (3) price analysis. Following a brief review of the price and quantity measures required by the new SNA with its emphasis on deflation of commodity flows and input-output accounts, in addition to the more conventional deflation of final demand categories, the paper discusses some of the conceptual, methodological and data problems involved in implementing the various uses of prices in the new SNA.Implementing the use of prices as deflators depends, in part, on the concept of output selected (national versus domestic; gross versus net), and which of six concepts of valuation, ranging from purchasers'value to true factor cost, is used. Some of the difficulties in deflating nonmarket flows (e.g., interplant transfers) and industry value added, based on the double deflation method, are discussed.In concept price deflators, which have shifting weights, cannot be used as price indicators, which should have fixed weights. In practice, this is often disregarded and the deflators are used as price indicators. The paper support the SNA recommendation for the development of price indexes with fixed weights to be used as price indicators, in addition to the implicit price deflators. Research in the United States indicates that differences in weights can result in different price measures for various subperiods, components of demand and sector output.Periodic revisions in weights to provide more current fixed weights for price and quantity indexes in each subperiod may minimize the problem but it introduces a new problem—lack of comparability with the constant price tables in the SNA which have fixed weights for the entire period.The new SNA provides a comprehensive and integrated framework for price analysis including the analysis of the structure of aggregate price changes, the industrial origin of final demand prices, and the impact of price change in one sector of the economy on the rest of the economy. Some major gaps which need to be overcome in order to implement the use of the new SNA for price analysis include the development of industry capital stock estimates, separate estimates of proprietors’income, reconciliation of value added and distribution share estimates, and the development of a wide variety of information to supplement the conventional input-output tables in the SNA.Implementing the various objectives of price measures within the framework of the accounts will require a number of improvements in existing price measures and expanding the scope of coverage. “List” prices should be superseded by “transactions” prices and better techniques and data need to be developed to provide for quality adjustment of prices. Coverage will need to be expanded to include services, freight rates, trade margins, government expenditures, and also fill in gaps for many manufactured products. Finally, where possible, use of unit values as price indexes or deflators, e.g., imports and exports, should be replaced by direct price measures.

Notizen: The paper develops a descriptive history of the changing level and sources of income of the male population of Wisconsin from 1947 to 1959, as a preliminary step in building a model of income determination. The history is based on data from a one percent sample of the taxpaying population of Wisconsin from 1947 to 1959. Analysis of income sources received by male birth cohorts is followed by summary data on individual income variation.Changes in earnings of birth cohorts appear to be determined by changes in labor force participation, general productivity increases, and acquisition of skills. Education, as reflected in occupational status, appears to affect the initial level and lifetime profile of earnings; however, education has played a changing role in the dynamics of earnings.Movements in non-earned income appear to be determined by rising real yields on capital, accumulation of wealth, and possibly by asset conversion and selective migration and mortality favoring wealth holders. Cohort asset accumulation for the period seems to have been determined by the growth rate of earnings, life cycle contingencies, and the pattern of asset prices and yields during the period.Analysis of individuals’ incomes over the period reveals great heterogeneity of experience of individuals within birth cohorts and within occupations. This suggests that study of micro units is necessary to obtain behavioral information obscured in aggregate cohort data.

Notizen: Master diagrams for electromagnetic responses of nine dipole dipole systems are presented for various depths of a vertical infinitely conducting vein. The YY system gives the minimum anomaly for both the inline and broadside arrays. Among other inline systems, it is difficult to decide the clearcut superiority of one system over the other, whereas the XX system in broadside array gives maximum anomaly.

Notizen: The Laboratory of Geophysics of the University of Arizona was presented with an exploration problem by Falconbridge, Ltd. of Canada. Massive mineralized hemispherical “pods” are in the vicinity of a tuff layer of high conductivity and induced polarization response, covered by large thicknesses of resistive volcanics. The initial approach was to utilize electrolytic tank modeling. The extreme resistivity and IP contrasts proved to be difficult to recreate. Two dimensional modeling was attempted next with conductive paper, using copper and silver paint for anomalous masses. This method also proved inadequate. Finally, mathematical equations were solved which could model any arbitrary anomalous body in any steady state electrical field. Plane waves as well as point current sources producing non-plane waves are possible. Finite difference equations were derived for the non-linear partial differential equations under consideration. The equations were solved using a digital computer. Initially, the boundary conditions had to be satisfied at the boundaries of resistivity changes, severely restricting possible geometric shapes for anomalous bodies. The final and successful solution was to apply numerical techniques to obtain solutions of equations which require only that the relative resistivities through the area be specified. The Falconbridge problem and its solution are analyzed.

Notizen: For the two and three layer cases geo-electrical sounding graphs can be rapidly and accurately evaluated by comparing them with an adequate set of standard model graphs. The variety of model graphs required is reasonably limited and the use of a computer is unnecessary for this type of interpretation.For more than three layers a compilation of model graphs is not possible, because the variety of curves required in practice increases immensely. To evaluate a measured graph under these conditions, a model graph is calculated by computer for an approximately calculated resistivity profile which is determined, for example, by means of the auxiliary point methods. This model graph is then compared with the measured curve, and from the deviation between the curves a new resistivity profile is derived, the model graph of which is calculated for another comparison procedure, etc. This type of interpretation, although exact, is very inconvenient and time-consuming, because there is no simple method by which an improved resistivity profile can be derived from the deviations between a model graph and a measured graph.The aim of this paper is, on the one hand, to give a simple interpretation method, suitable for use during field work, for multi-layer geo-electrical sounding graphs, and, on the other hand, to indicate an automatic evaluation procedure based on these principles, suitable for use by digital computer.This interpretation system is based on the resolution of the kernel function of Stefanescu's integral into partial fractions. The system consists of a calculation method for an arbitrary multi-layer case and a highly accurate approximation method for determining those partial fractions which are important for interpretation. The partial fractions are found by fitting three-layer graphs to a measured curve. Using the roots and coefficients of these partial fractions and simple equations derived from the kernel function of Stefanescu's integral, the thicknesses and resistivities of layers may be directly calculated for successively increasing depths.The system also provides a simple method for the approximative construction of model graphs.

Notizen: The theoretical horizontal resistivity profiles over an outcropping vertical dyke for various parameters-electrode spacing, vein-width and resistivity contrast—with inline alpha, beta and gamma-Wenner electrode systems are described. The resistivity profiles present a most bewildering variety of shapes as compared to those in resistivity soundings. The analysis of type curves suggests suitable electrode configuration for detection of wide, moderately wide, and thin veins. The negative apparent resistivity values on the gamma anomalies for resistive vein over certain vein-widths of higher positive values of resistivity reflection factor contradict the concept of apparent resistivity hitherto held.

Notizen: Il est maintenant courant d'employer l'ordinateur pour interpréter les sondages électriques. Cependant, le problème à résoudre en prospection électrique n'admettant pas une solution unique, le but des traitements automatiques consiste simplement à fournir plusieurs hypothèses qui aident à bâtir une interprétation géologique des mesures géophysiques. C'est, d'ailleurs, ce qu'on recherche aussi par la comparaison visuelle des courbes de terrain avec des abaques précalculés. Mais, tandis que l'interprétation manuelle, pour conduire à des solutions qui respectent les mesures faites sur le terrain, exige un temps très long, le traitement automatique fournit immédiatement des solutions compatibles avec les courbes àétudier.Les procédés employés s'adaptent aux divers besoins de la prospection: ils peuvent traiter aussi bien la station isolée que les profils de sondages électriques. C'est ce qu'on se propose de montrer, à l'aide de quelques exemples tirés d'études récentes.

Notizen: Various experiments are described in designing two-dimensional magnetic interpretation algorithms using computer curve fitting techniques.For a single anomaly the position of the anomaly maximum and the half-width of the anomaly give good initial estimates of the plate position and thickness. A nomogram and formulae for improving these estimates is given. Curves and estimates for the effects of finite depth extent of a plate show the limits, when the lower surface of the plate can be neglected in curve fitting.The combined anomaly of two parallel plates can be separated into partial anomalies with no common points using the horizontal derivative of the anomaly. The changes of the anomaly maxima and changes in anomaly half-widths are studied as a function of plate separation. The position of the maxima and the half-widths can be corrected before applying the one-plate procedure for obtaining initial estimates of plate positions and thicknesses.The performance of standard optimization methods of Powell, Davidon, and Marquardt in improving the values of the plate parameters are compared. The Powell method seems to be the most reliable for both single and multi-plate anomalies. All methods become unacceptably slow when the number of plates is greater than 2 or 3. In these cases feasible interpretation times are obtained using the partial anomalies and sequential parabolic search of the parameter values as tailored specially to the thick plate model.Experiments with three different error norms, the classical least squares, weighted least squares and minimax, show that the first norm gives the best overall performance in automatic interpretation. The behaviour of the classical least squares norm as a function of the plate parameters is also briefly described.

Notizen: The growing awareness of the significance of three-dimensional interpretation of seismic reflection data carries with it a need for better understanding of the role of the velocity configuration in the production of reflection patterns. Modeling the reflection responses of a simple dipping plane reflector through velocity models of various degrees of complexity demonstrates the importance of overlying velocities in determining the reflection pattern.Modeling is accomplished using a raytracing technique which determines total travel time of the normal incidence raypath through an arbitrary iso-velocity layer model.

Notizen: In a previous paper it has been shown that we can relate the transient IP electric field Ep, existing in a rock after a step wave of polarizing current, with the steady-state current density Jss during the current step wave as follows: Ep=ρ'Jss.This relation may be interpreted as a generalized Ohm's law, valid in linear cases, in which ρ’(fictitious resistivity) is defined as the product of the true resistivity ρ with the chargeability m.Supposing Ep=—grad Up and applying the divergence condition div Jss= o, one can, for a layered earth, obtain a general expression for the depolarization potential Up as a solution of Laplace's equation ∇2Up= o.Since the mathematical procedure for the solution of this last equation is identical to that used in resistivity problems, we propose now the introduction of an apparent fictitious resistivity ρ'a (defined as the product of the apparent resistivity ρa with the apparent chargeability ma) as a new parameter for the interpretations of IP soundings carried out over layered structures with a common electrode array.The most general expression of ρ'a as a function of the electrode distance turns out to be mathematically identical to the general expression of ρ'a. Therefore it is possible to interpret a ρ'a field curve using the same standard graphs for resistivity prospecting with the usual method of complete curve matching.In this manner a great deal of work is saved since there is no need to construct proper ma graphs for the interpretation of IP soundings, as it has been done up to now.Finally some field examples are reported.

Notizen: Dipole sounding resistivity measurements over layered earth can be interpreted directly by adapting the procedure given by Koefoed (1968) for Schlumberger system. To carry out the first step of the interpretation leading to the determination of the raised kernel function, partial resistivity functions for the dipole method are derived and given in the form of standard curves. The second step involving the derivation of layering parameters from the kernel being independent of the electrode configurations remains unaltered. The applicability and limitations of the method are discussed.

Notizen: Computations have been made for the effect of ground slope in combination with transmitter coil misorientation on different electromagnetic depth sounding systems and sets of frequency sounding master curves are presented for different angles. The effect of a thin air layer due to the elevation of coils above ground surface has been studied for different systems. Also discussed are the effects due to an error in transmitter-receiver coil separation.