I think that there is a relationship, but the question is not ONLY the quality of the attraction, but also the quality and extent of the promotion.  The promotion could be an important variable.

Some empirical results comparing visitors to cities with particular emphasis on iconicity- the role of icons in attracting more visitors to urban destinations. The study is a comparison between modern & heritage cities. A linear regression was employed looking at  R square and statistical significance such as the t and p values for  an assessment of "iconic effects".

www.sciencedirect.com/science/article/pii/S026151771500134X

There is a relationship, but this should not be considered as a law; the tourist number is a variable, important as indicators of a complex context; there are singular and magnetic tourist atraction without promotion that explain the less number of vititors.

Still when considering econometric models one can hardly see tourism attractiveness index as a explanatory variable. Just events happen to be 1 or 0 variable.

Dear Adam,

I would like to recommend you  the following paper :J. Zhang,  Tourist Attraction Development in Denmark and Its Impact on Regions*, www.davidpublishing.com/DownLoad/?id=17628

I hope this paper would  be inspiring and useful.

Kind regards

Barbara

Dear Adam,

There are many other considerations (accesibility, promotional campaing, safety...) you should consider to attract tourists besides the existence of "tourism attractions". For instance, think of how many beaches, mountains, caves or monuments of different types, are not tourist attractions at all and will never be considered as such. Michel Chadefaud arose this question some decades ago, and he came up with his hypothesis of the mediation of tourism space, which I think I have developed a bit further.

Still, there are many places (locations, municipalities) that are constantly renewing (through creating new attractions --think of amusement parks for instance) and promoting yet-undiscovered heritages) their tourist products. For the latter, you may want to take a look at any our research (published in English) that show how an industrial city in economic recession turn its economic basis towards tourism by means of gettetin two UNESCO World Heritage Declarations in three years. The increase in the number of tourist was exponential.

https://www.researchgate.net/publication/265162266_Coping_with_two_World_Heritages._The_two_UNESCO_declarations_and_local_identity_in_Elche

Conference Paper Coping with two World Heritages. The two UNESCO declarations...

Dear Adam,

I think  it is worth to see one practical  aspect of this issue - importance of road signs which inform  about tourist attractions. More  tourist  attractions   at  road signs give the following effect  -  more tourists (drivers and  car passengers)  decide to visit  the well coded destinaton.  I would like to recommend you the below mentioned links:

http://www.suffolk.gov.uk/assets/suffolk.gov.uk/Environment%20and%20Transport/Roads%20and%20Pavements/Tourist%20Signing%20in%20Suffolk%202014%20v2.1.pdf

https://www.visitengland.com/biz/resources/insights-and-statistics/research-topics/attractions-research/annual-survey-visits-visitor-attractions

Best wishes

Barbara

Promotion especially branding of the destination , World Heritage , World events like the Olympics are all factors which influence tourism numbers. 

yes there is relationship between tourist attractions and tourists numbers because if there is more number of attractions tourists will get more choice and satisfaction rate will be high therefore they will visit in more numbers