The diversity of Plasmodium falciparum within human hosts requires parasite population size be defined in terms of parasite variation rather than the number of infected hosts. To calculate census population size, we rely on a definition of parasite variation known as multiplicity of infection (MOIvar), defined by the hyper-diversity of the var multigene family. We present a Bayesian approach to estimate MOIvar based on sequencing and counting the number of unique DBLα tags (or DBLα types) of var genes, taking into consideration measurement error, and derive from it census population size or the total number of distinct infections of relevance to transmission events. We track changes in parasite population size and structure, using MOIvar, from baseline and through sequential malaria interventions by indoor residual spraying (IRS) and seasonal malaria chemoprevention (SMC) in an area characterized by high-seasonal malaria transmission in northern Ghana. Var DBLα tag sequencing was completed on asymptomatic P. falciparum isolates at baseline (2012), during IRS (2014), post-IRS (2015) and during SMC (2017) from ~2,000 individuals of all ages surveyed at each time point. Following IRS, which reduced transmission intensity by > 90% and decreased parasite prevalence by ~40-50%, significant reductions in var diversity, MOIvar, and population size were observed across all ages. These changes, consistent with the loss of diverse parasite genomes, were short lived and 32-months after IRS was discontinued and SMC was introduced, var diversity and population size rebounded in all age groups except for the younger children (1-5 years) targeted by SMC. By measuring population size in this way, we show that despite major perturbations, the parasite population remained very large and retained the var population genetic characteristics of a high-transmission system (high var diversity; low var repertoire similarity) demonstrating the resilience of P. falciparum to short-term interventions in high-burden countries of sub-Saharan Africa.