Area sampling frame

An area sampling frame is an alternative to the most traditional type of sampling frames.

A sampling frame is often defined as a list of elements of the population we want to explore through a sample survey. A slightly more general concept considers that a sampling frame is a tool that allows the identification and access to the elements of the population, even if an explicit list does not exist.[1] Traditional sampling frames are sometimes referred to as list frames[2][3]

In many cases, suitable lists are not available. This can happen for several reasons, for example:

  • Existing lists, such as population censuses, are too old and do not correspond anymore to the current reality.
  • We are targeting a population whose list is not feasible, for example a wild animal species.
  • The population is a continuous feature in a given geographic area and the definition of its elements is not straightforward. This often happens for sample surveys designed to produce environmental statistics.

Area sampling frames are generally defined by two elements:

  • The boundaries of a target region in a given cartographic projection.
  • The type of geographic units to be sampled. We can mention three main types of units:
    • Points. In principle, points are dimensionless, but, for practical reasons, we can attribute them a certain size, such as 1 m x 1 m. The suitable size is linked to the accuracy of the tool used for the location of the point. Possible tools are GPS devices, orthophotos or satellite images. Point sampling can be based on a two-stage scheme, sampling clusters in the first stage and sampling points in the second stage. Another option is a two-phase scheme of unclustered points: a large first-phase sample is selected. A stratification is conducted only for the first-phase sample and a stratified sample is chosen in the second phase.
    • Transects. A transect is a piece of straight line of a given length. Transect sampling is useful to estimate the total length of linear landscape elements
    • Areal units defined by polygons. In the jargon of agricultural surveys, areal units are generally called "segments",[4] even if a segment in geometry rather corresponds to the concept of transect used in area sampling frames. Segments can be delineated by photo-interpretation or generated automatically, usually on the basis of a regular grid.[1] The optimal size of segments depends on the spatial auto-correlation of the monitored processes and the cost function that links the price of data collection with the size of the sample unit[5]
  1. ^ a b "Handbook on Master Sampling Frames for Agricultural Statistics". docplayer.net. Retrieved 2023-12-11.
  2. ^ Turner, Anthony G. (5 December 2003). "Sampling frames and master samples" (PDF). Millenium development goals indicators. Retrieved January 6, 2024.
  3. ^ Carfagna, Elisabetta (2015). "Combining list frames with different kinds of area frame" (PDF). International Statistical Institute, 60th ISI World Statistics Congress Proceedings. Retrieved January 6, 2024.
  4. ^ Boryan, Claire; Yang, Zhengwei; Di, Liping; Hunt, Kevin (November 2014). "A New Automatic Stratification Method for U.S. Agricultural Area Sampling Frame Construction Based on the Cropland Data Layer". IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing. 7 (11): 4317–4327. Bibcode:2014IJSTA...7.4317B. doi:10.1109/JSTARS.2014.2322584. ISSN 1939-1404. S2CID 11727236.
  5. ^ Gallego, Francisco Javier (2012-03-20). "The efficiency of sampling very high resolution images for area estimation in the European Union". International Journal of Remote Sensing. 33 (6): 1868–1880. Bibcode:2012IJRS...33.1868G. doi:10.1080/01431161.2011.602993. ISSN 0143-1161. S2CID 128680455.