Hi Ankit, I think the terms 'geospatial analysis' and 'spatial analysis' are somewhat synonymous, and the term 'geoprocessing' is the equivalent of saying 'data management and cleaning of any data that's spatial' to get them in a format where one can apply some geospatial (or spatial) analysis technique.
Depends on the context, but "spatial analysis" can refer to any type of processing dealing with objects of spatial extent e.g. imagery; while geospatial analysis refers specifically to analysis of geographical data (maps, terrain, etc.). So they may overlap, they are distinct.
The basic differences between geospatial and spatial is that geospatial is associated with a specific geographic location where as spatial is of or pertaining to space. But in a broader geographic sense there is not much difference between these two terminology.
I could say the basic difference between geospatial and spatial analysis is that geospatial refers to or refers to a geographic location, particularly data, while spatial refers to or relates to space. But like John Santapietro said they over lap.
Spatial Analysis is used from the quantum level ( sub-atomic ) to cosmographic. GeoSpatial Analysis primarily happens from the backyard to planetary scale, a very thin slice compared to the other two. They do share a lot of the same algorithms, though. Probably only GIS people conflate the two terms because ESRI's ArcGIS labels their primary extension 'Spatial Analyst. : -)
1. Is there a difference between spatial and geospatial analysis?
On the first question. In my opinion, there is no difference between spatial and geospatial analysis. There is a difference between spatial and geospatial data. Thus, geospatial data usually includes information about objects and phenomena on the Earth's surface, in the subsurface layer of the Earth, the near-surface layer of the Earth's atmosphere, and near-Earth space in a single system of coordinates, heights, and parameters of the Earth's external gravitational field. All other objects and phenomena described in a particular coordinate system refer to spatial data, until they can be defined in the Earth's coordinate systems. http://geo-science.ru. http://geo-science.ru/wp-content/uploads/GeoScience-32020-lite.pdf.
The methodology of spatial analysis is almost completely used in geospatial analysis (including 3D and 4D, including time) , and therefore the differences in the methodology of geospatial analysis can only be specific features of geospatial data specific to the planet Earth: geographical, gravitational, geomorphological, biological, nosological (the noosphere, despite all the controversy of its existence, has not yet been refuted) and a number of others, including those that have not yet been investigated. It is these features that make it possible to distinguish the methods of geospatial analysis into a separate group in the general concept of spatial analysis.
2. Is it correct to call the study geospatial, using the basic methods of the choropleth map?
Of course it is correct. Choropleth maps, otherwise called thematic maps with the representation of objects and phenomena by area symbols, can and should be the material of geospatial research and a way of presenting the results of these studies along with large-scale and extra-scale symbols. Your question relates to the problem of detailing and generalizing geospatial data in its cartographic representation. The choice of the method of cartographic representation of geospatial information (or the results of its processing) depends on many factors: the detail of the source data, the coordinate and cartographic basis, the spatial detail (spatial resolution and coordinate reference) of thematic data, and much more.
At the same time, your questions caused quite a lively discussion and led to the need to clarify the terminology in the field of geoinformatics and geospatial data (https://www.iso.org/files/live/sites/tc211/files/documents/TC211_Multi-Lingual_Glossary-2016-06-28_Published.xls. https://elibrary.ru/item.asp?id=28345726. https://www.elibrary.ru/download/elibrary_28345726_45469033.pdf). Thank you for the interesting question.
Spatial analysis deal with data that have space components (satalite imagery) where as geospatial analysis focused on the analysis of earth based object's obtained through measurement with minimised uncertainty.